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1 %% This BibTeX bibliography file was created using BibDesk.
2 %% http://bibdesk.sourceforge.net/
3
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5 %% Created for Dan Gezelter at 2008-03-13 17:04:26 -0400
6
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8 %% Saved with string encoding Western (ASCII)
9
10
11 @string{acp = {Adv. Chem. Phys.}}
12
13 @string{bj = {Biophys. J.}}
14
15 @string{ccp5 = {CCP5 Information Quarterly}}
16
17 @string{cp = {Chem. Phys.}}
18
19 @string{cpl = {Chem. Phys. Lett.}}
20
21 @string{jacs = {J. Am. Chem. Soc.}}
22
23 @string{jcc = {J. Comp. Chem.}}
24
25 @string{jcop = {J. Comp. Phys.}}
26
27 @string{jcp = {J. Chem. Phys.}}
28
29 @string{jml = {J. Mol. Liq.}}
30
31 @string{jmb = {J. Mol. Bio.}}
32
33 @string{jpc = {J. Phys. Chem.}}
34
35 @string{jpca = {J. Phys. Chem. A}}
36
37 @string{jpcb = {J. Phys. Chem. B}}
38
39 @string{mp = {Mol. Phys.}}
40
41 @string{pams = {Proc. Am. Math Soc.}}
42
43 @string{pccp = {Phys. Chem. Chem. Phys.}}
44
45 @string{pnas = {Proc. Natl. Acad. Sci. USA}}
46
47 @string{pr = {Phys. Rev.}}
48
49 @string{pra = {Phys. Rev. A}}
50
51 @string{prb = {Phys. Rev. B}}
52
53 @string{pre = {Phys. Rev. E}}
54
55 @string{prl = {Phys. Rev. Lett.}}
56
57 @string{rmp = {Rev. Mod. Phys.}}
58
59 @string{cpc = "Comp. Phys. Comm."}
60
61 @article{Peters:1999uq,
62 Abstract = {The Fokker-Planck (FP) equation describing the dynamics of a single Brownian particle near a fixed external surface is derived using the multiple-time-scales perturbation method, previously used by Cukier and Deutch and Nienhuis in the absence of any external surfaces, and Piasecki ei LII. for two Brownian spheres in a hard fluid. The FP equation includes an explicit expression for the (time-independent) particle friction tensor in terms of the force autocorrelation Function and equilibrium average force on the particle by the surrounding fluid and in the presence of a fixed external surface. such as an adsorbate. The scaling and perturbation analysis given here also shows that the Force autocorrelation function must decay rapidly on the zeroth-order time scale tau(0), which physically requires N-Kn much less than 1, where N-Kn is the Knudsen number (ratio of the length scale for fluid intermolecular interactions to the Brownian particle length scale). This restricts the theory given here to liquid systems where N-Kn much less than 1. For a specified particle configuration with respect to the external surface, equilibrium canonical molecular dynamics (MD) calculations are conducted, as shown here, in order to obtain numerical values of the friction tensor from the force autocorrelation expression. Molecular dynamics computations of the friction tensor for a single spherical particle in the absence of a fixed external surface are shown to recover Stokes' law for various types of fluid molecule-particle interaction potentials. Analytical studies of the static force correlation function also demonstrate the remarkable principle of force-time parity whereby the particle friction coefficient is nearly independent of the fluid molecule-particle interaction potential. Molecular dynamics computations of the friction tensor for a single spherical particle near a fixed external spherical surface (adsorbate) demonstrate a breakdown in continuum hydrodynamic results at close particle surface separation distances on the order of several molecular diameters.},
63 Author = {Peters, MH},
64 Date-Added = {2008-03-13 16:54:59 -0400},
65 Date-Modified = {2008-03-13 16:56:54 -0400},
66 Journal = {Journal of Statistical Physics},
67 Keywords = {Brownian particle; Fokker Planck equation; adsorption; molecular friction; force autocorrelation function; molecular dynamics},
68 Pages = {557-586},
69 Timescited = {0},
70 Title = {Fokker-Planck equation, molecular friction, and molecular dynamics for Brownian particle transport near external solid surfaces},
71 Volume = {94},
72 Year = {1999}}
73
74 @article{Peters:1999qy,
75 Abstract = {The Fokker-Planck equation and molecular-based grand friction tensor are derived for the problem of rotational and translational motions of a structured Brownian particle, including the presence of a structured wall. Using the method of multiple time scales, it is shown that the time independent, grand friction tensor for the Brownian particle includes, in a general way, terms that account fur the fluid molecular mediated interactions with the wall. The resulting Fokker-Planck equation has important applications in processes involving site-specific adsorption of macromolecules, such as affinity chromotography, biological separations, and numerous cellular processes involving attachment of macromolecules. (C) 1999 American Institute of Physics. [S0021-9606(98)51748-5].},
76 Author = {Peters, MH},
77 Date-Added = {2008-03-13 16:54:59 -0400},
78 Date-Modified = {2008-03-13 16:56:44 -0400},
79 Journal = jcp,
80 Pages = {528-538},
81 Timescited = {0},
82 Title = {Fokker-Planck equation and the grand molecular friction tensor for coupled rotational and translational motions of structured Brownian particles near structured surfaces},
83 Volume = {110},
84 Year = {1999}}
85
86 @article{Peters:2000fk,
87 Abstract = {Beginning with the molecular-based Fokker-Planck equation obtained previously [M. H. Peters, J. Chem. Phys. 110, 528 (1999); J. Stat. Phys. 94, 557 (1999)], the Smoluchowski diffusion equation is derived here to describe the spatial and orientational dynamics of molecularly structured macromolecules near molecularly structured surfaces. The formal scaling and perturbation methods employed allow the establishment of definite limits on the use of the Smoluchowski equation when surfaces are present. It is shown that the Smoluchowski equation reduces to that given previously [D. W. Condiff and J. S. Dahler, J. Chem. Phys. 44, 3988 (1966)] in the absence of external surfaces. A specific example application is given involving a spherical macromolecule with electrostatic charge segments near a planar surface with an arbitrary charge distribution. Finally, we show that the short-time solution to the Smoluchowski equation obtained here yields a Brownian dynamics method consistent with that given previously [E. Dickinson, S. A. Allison, and J. A. McCammon, J. Chem. Soc. Faraday Trans. 2 81, 591 (1985)] for orientable, interacting Brownian particles. This study has applications to problems involving site-specific adsorption of orientable, structured Brownian particles, such as association or adsorption of biological macromolecules to cellular surfaces and enzyme-substrate docking kinetics, to name a few. (C) 2000 American Institute of Physics. [S0021-9606(00)50112-3].},
88 Author = {Peters, MH},
89 Date-Added = {2008-03-13 16:54:59 -0400},
90 Date-Modified = {2008-03-13 16:56:20 -0400},
91 Journal = jcp,
92 Pages = {5488-5498},
93 Timescited = {0},
94 Title = {The Smoluchowski diffusion equation for structured macromolecules near structured surfaces},
95 Volume = {112},
96 Year = {2000}}
97
98 @article{Nienhuis:1970lr,
99 Abstract = { A quantummechanical system consisting of N light bath particles and one heavy Brownian linear rotator is considered. By employing the multiple time scale technique and the Wigner representation of quantummechanics, a Fokker-Planck equation for the motion of the Brownian particle is derived. Some properties of this equation are briefly discussed.},
100 Author = {Nienhuis, G. },
101 Date-Added = {2008-03-13 16:53:44 -0400},
102 Date-Modified = {2008-03-13 16:53:44 -0400},
103 Journal = {Physica},
104 Number = {1},
105 Pages = {26--48},
106 Title = {On the microscopic theory of Brownian motion with a rotational degree of freedom},
107 Ty = {JOUR},
108 Url = {http://www.sciencedirect.com/science/article/B6X42-46D224N-BW/2/0e1b39b5a20e979c5fa5e1f560de6413},
109 Volume = {49},
110 Year = {1970},
111 Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6X42-46D224N-BW/2/0e1b39b5a20e979c5fa5e1f560de6413}}
112
113 @article{SunX._jp0762020,
114 Affiliation = {Department of Chemistry and Biochemistry, University of Notre Dame, Notre Dame, Indiana 46556},
115 Author = {Sun, X. and Gezelter, J.D.},
116 Date-Added = {2008-02-15 13:48:18 -0500},
117 Date-Modified = {2008-02-15 13:48:18 -0500},
118 Issn = {1520-6106},
119 Journal = jpcb,
120 Number = {7},
121 Pages = {1968-1975},
122 Title = {Dipolar Ordering in the Ripple Phases of Molecular-Scale Models of Lipid Membranes},
123 Url = {http://pubs3.acs.org/acs/journals/doilookup?in_doi=10.1021/jp0762020},
124 Volume = {112},
125 Year = {2008},
126 Bdsk-Url-1 = {http://pubs3.acs.org/acs/journals/doilookup?in_doi=10.1021/jp0762020}}
127
128 @book{Schlick2002,
129 Address = {Secaucus, NJ, USA},
130 Author = {Tamar Schlick},
131 Date-Added = {2008-02-12 16:52:19 -0500},
132 Date-Modified = {2008-02-12 16:53:15 -0500},
133 Isbn = {038795404X},
134 Publisher = {Springer-Verlag New York, Inc.},
135 Title = {Molecular Modeling and Simulation: An Interdisciplinary Guide},
136 Year = {2002}}
137
138 @article{Chun:2000fj,
139 Abstract = {A modeling approach that can significantly speed up the dynamics simulation of large molecular systems is presented herein. A multigranular modeling approach, whereby different parts of the molecule are modeled at different levels of detail, is enabled by substructuring. Substructuring the molecular system is accomplished by collecting groups of atoms into rigid or flexible bodies. Body flexibility is modeled by a truncated set of body-based modes. This approach allows for the elimination of the high-frequency harmonic motion while capturing the low-frequency anharmonic motion of interest. This results in the use of larger integration step sizes, substantially reducing the computational time required for a given dynamic simulation. The method also includes the use of a multiple time scale (MTS) integration scheme. Speed increases of 5- to 30-fold over atomistic simulations have been realized in various applications of the method. (C) 2000 John Wiley \& Sons, Inc.},
140 Author = {Chun, HM and Padilla, CE and Chin, DN and Watanabe, M and Karlov, VI and Alper, HE and Soosaar, K and Blair, KB and Becker, OM and Caves, LSD and Nagle, R and Haney, DN and Farmer, BL},
141 Date-Added = {2008-01-22 10:38:33 -0500},
142 Date-Modified = {2008-01-22 10:38:49 -0500},
143 Keywords = {molecular dynamics; normal modes; anharmonicity; macromolecules; numerical integrators},
144 Journal = jcc,
145 Pages = {159--184},
146 Timescited = 0,
147 Title = {{MBO(N)D:} A multibody method for long-time molecular dynamics simulations},
148 Volume = 21,
149 Year = 2000}
150
151 @article{Fogolari:1996lr,
152 Abstract = {In an effort to reduce the number of degrees of freedom necessary to describe a polypeptide chain we analyze the statistical behavior of polypeptide chains when represented as C alpha chains, C alpha chains with C beta atoms attached, and C alpha chains with rotational ellipsoids as models of side chains. A statistical analysis on a restricted data set of 75 unrelated protein structures is performed. The comparison of the database distributions with those obtained by model calculation on very short polypeptide stretches allows the dissection of local versus nonlocal features of the distributions. The database distribution of the bend angles of polypeptide chains of pseudo bonded C alpha atoms spans a restricted range of values and shows a bimodal structure. On the other hand, the torsion angles of the C alpha chain may assume almost all possible values. The distribution is bimodal, but with a much broader probability distribution than for bend angles. The C alpha - C beta vectors may be taken as representative of the orientation of the lateral chain, as the direction of the bond is close to the direction of the vector joining C alpha to the ad hoc defined center of the "steric mass" of the side chain. Interestingly, both the bend angle defined by C alpha i-C alpha i+1-C beta i+1 and the torsional angle offset of the pseudo-dihedral C alpha i-C alpha i+1-C alpha i+2-C beta i+2 with respect to C alpha i-C alpha i+1-C alpha i+2-C alpha i+3 span a limited range of values. The latter results show that it is possible to give a more realistic representation of polypeptide chains without introducing additional degrees of freedom, i.e., by just adding to the C alpha chain a C beta with given side-chain properties. However, a more realistic description of side chains may be attained by modeling side chains as rotational ellipsoids that have roughly the same orientation and steric hindrance. To this end, we define the steric mass of an atom as proportional to its van der Waals volume and we calculate the side-chain inertia ellipsoid assuming that the steric mass of each atom is uniformly distributed within its van der Waals volume. Finally, we define the rotational ellipsoid representing the side chain as the uniform density ellipsoid possessing the same rotationally averaged inertia tensor of the side chain. The statistics of ellipsoid parameters support the possibility of representing a side chain via an ellipsoid, independently of the local conformation. To make this description useful for molecular modeling we describe ellipsoid-ellipsoid interactions via a Lennard-Jones potential that preserves the repulsive core of the interacting ellipsoids and takes into account their mutual orientation. Tests are performed for two different forms of the interaction potential on a set of high-resolution protein structures. Results are encouraging, in view of the drastic simplifications that were introduced.},
153 Address = {Dipartimento di Scienze e Tecnologie Biomediche, Universita di Udine, Italy.},
154 Au = {Fogolari, F and Esposito, G and Viglino, P and Cattarinussi, S},
155 Author = {Fogolari, F and Esposito, G and Viglino, P and Cattarinussi, S},
156 Da = {19960924},
157 Date-Added = {2008-01-22 10:19:04 -0500},
158 Date-Modified = {2008-01-22 10:19:09 -0500},
159 Dcom = {19960924},
160 Edat = {1996/03/01},
161 Issn = {0006-3495 (Print)},
162 Jid = {0370626},
163 Journal = {Biophys J},
164 Jt = {Biophysical journal},
165 Language = {eng},
166 Lr = {20071115},
167 Mh = {Amino Acids/chemistry; Biophysics; Carbon/chemistry; Databases, Factual; Evaluation Studies as Topic; *Models, Molecular; Molecular Structure; Peptides/*chemistry; *Protein Conformation; Software; Thermodynamics},
168 Mhda = {1996/03/01 00:01},
169 Number = {3},
170 Own = {NLM},
171 Pages = {1183--1197},
172 Pl = {UNITED STATES},
173 Pmid = {8785277},
174 Pst = {ppublish},
175 Pt = {Journal Article},
176 Pubm = {Print},
177 Rn = {0 (Amino Acids); 0 (Peptides); 7440-44-0 (Carbon)},
178 Sb = {IM},
179 So = {Biophys J. 1996 Mar;70(3):1183-97. },
180 Stat = {MEDLINE},
181 Title = {Modeling of polypeptide chains as C alpha chains, C alpha chains with C beta, and C alpha chains with ellipsoidal lateral chains.},
182 Volume = {70},
183 Year = {1996}}
184
185 @inbook{Ramachandran1996,
186 Address = {Providence, Rhode Island},
187 author = {Gomathi Ramachandran and Tamar Schlick},
188 Chapter = {Beyond optimization: Simulating the dynamics of supercoiled DNA by a macroscopic model},
189 Date-Added = {2008-01-22 10:03:42 -0500},
190 Date-Modified = {2008-01-22 10:06:57 -0500},
191 Editor = {P. M. Pardalos and D. Shalloway and G. Xue},
192 Pages = {215-231},
193 Publisher = {American Mathematical Society},
194 Series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science},
195 Title = {Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding},
196 Volume = {23},
197 Year = {1996}}
198
199 @article{FIXMAN:1986lr,
200 Author = {Fixman, M},
201 Date-Added = {2008-01-22 09:59:29 -0500},
202 Date-Modified = {2008-01-22 09:59:35 -0500},
203 Journal = {Macromolecules},
204 Pages = {1204-1207},
205 Timescited = {0},
206 Title = {CONSTRUCTION OF LANGEVIN FORCES IN THE SIMULATION OF HYDRODYNAMIC INTERACTION},
207 Volume = {19},
208 Year = {1986}}
209
210 @article{Berendsen87,
211 Author = {H.~J.~C. Berendsen and J.~R. Grigera and T.~P. Straatsma},
212 Date-Added = {2008-01-22 09:53:15 -0500},
213 Date-Modified = {2008-01-22 09:53:15 -0500},
214 Journal = jpc,
215 Pages = {6269-6271},
216 Title = {The Missing Term in Effective Pair Potentials},
217 Volume = 91,
218 Year = 1987}
219
220 @incollection{Berendsen81,
221 Address = {Dordrecht},
222 Author = {H.~J.~C. Berendsen and J.~P.~M. Postma and W.~F. {van~Gunsteren} and J. Hermans},
223 Booktitle = {Intermolecular Forces},
224 Date-Added = {2008-01-22 09:52:49 -0500},
225 Date-Modified = {2008-01-22 09:52:49 -0500},
226 Editor = {B. Pullman},
227 Pages = {331-342},
228 Publisher = {Reidel},
229 Title = {Simple Point Charge Water},
230 Year = 1981}
231
232 @article{Stillinger74,
233 Author = {F.~H. Stillinger and A. Rahman},
234 Date-Added = {2008-01-22 09:51:43 -0500},
235 Date-Modified = {2008-01-22 09:51:43 -0500},
236 Journal = jcp,
237 Number = 4,
238 Pages = {1545-1557},
239 Title = {Improved simulation of liquid water by molecular dynamics},
240 Volume = 60,
241 Year = 1974}
242
243 @article{Torre:1983lr,
244 Author = {{Garc\'{i}a de la Torre}, Jose and Rodes, Vicente},
245 Date-Added = {2008-01-11 16:16:43 -0500},
246 Date-Modified = {2008-01-11 16:16:43 -0500},
247 Journal = jcp,
248 Journal1 = {The Journal of Chemical Physics},
249 Journal2 = {J. Chem. Phys.},
250 Keywords = {polymers; molecular models; hydrodynamics; rotation; interactions; macromolecules},
251 Number = 5,
252 Pages = {2454--2460},
253 Publisher = {AIP},
254 Title = {Effects from bead size and hydrodynamic interactions on the translational and rotational coefficients of macromolecular bead models},
255 Ty = {JOUR},
256 Url = {http://link.aip.org/link/?JCP/79/2454/1},
257 Volume = 79,
258 Year = 1983,
259 Bdsk-Url-1 = {http://link.aip.org/link/?JCP/79/2454/1}}
260
261 @article{PhysRev.119.53,
262 Author = {Favro, L. Dale},
263 Date-Added = {2008-01-09 16:57:02 -0500},
264 Date-Modified = {2008-01-09 16:57:02 -0500},
265 Doi = {10.1103/PhysRev.119.53},
266 Journal = {Phys. Rev.},
267 Month = {Jul},
268 Number = 1,
269 Numpages = 9,
270 Pages = {53--62},
271 Publisher = {American Physical Society},
272 Title = {Theory of the Rotational Brownian Motion of a Free Rigid Body},
273 Volume = 119,
274 Year = 1960,
275 Bdsk-Url-1 = {http://dx.doi.org/10.1103/PhysRev.119.53}}
276
277 @article{hess:209,
278 Author = {Berk Hess},
279 Date-Added = {2008-01-08 16:41:06 -0500},
280 Date-Modified = {2008-01-08 16:41:06 -0500},
281 Doi = {10.1063/1.1421362},
282 Journal = jcp,
283 Keywords = {viscosity; molecular dynamics method; liquid theory; shear flow},
284 Number = 1,
285 Pages = {209-217},
286 Publisher = {AIP},
287 Title = {Determining the shear viscosity of model liquids from molecular dynamics simulations},
288 Url = {http://link.aip.org/link/?JCP/116/209/1},
289 Volume = 116,
290 Year = 2002,
291 Bdsk-Url-1 = {http://link.aip.org/link/?JCP/116/209/1},
292 Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.1421362}}
293
294 @article{Garcia-de-la-Torre:1997qy,
295 Abstract = {Single-valued hydrodynamic coefficients of a rigid particle can be calculated from existing theories and computer programs for either bead models or ellipsoids. Starting from these coefficients, we review the procedures for the calculation of complex solution properties depending on rotational diffusion, such as the decays of electric birefringence and fluorescence anisotropy. We also describe the calculation of the scattering from factor of bead models. The hydrodynamic coefficients and solution properties can be combined to give universal, shape-dependent functions, which were initially intended for ellipsoidal particles, and are extended here for the most general case. We have implemented all three developments in a new computer program. SOLPRO, for calculation of SOLution PROperties, which can be linked to existing software for bead models or ellipsoids.},
296 Address = {Departamento de Quimica Fisica Universidad de Murcia, Spain. jgt{\char64}fcu,um.es},
297 Au = {{Garc\'{i}a de la Torre}, Jose and Carrasco, B and Harding, SE},
298 Author = {{Garc\'{i}a de la Torre}, Jose and Carrasco, B and Harding, S E},
299 Da = 19970709,
300 Date-Added = {2008-01-08 15:45:31 -0500},
301 Date-Modified = {2008-01-08 15:46:57 -0500},
302 Dcom = 19970709,
303 Edat = {1997/01/01},
304 Issn = {0175-7571 (Print)},
305 Jid = 8409413,
306 Journal = {Eur Biophys J},
307 Jt = {European biophysics journal : EBJ},
308 Keywords = {Birefringence; Fluorescence Polarization; Humans; Immunoglobulin G/chemistry; Models, Structural; *Protein Conformation; Proteins/*chemistry; Scattering, Radiation; *Software; Ultracentrifugation/methods},
309 Language = {eng},
310 Lr = 20061115,
311 Mhda = {1997/01/01 00:01},
312 Number = {5-6},
313 Own = {NLM},
314 Pages = {361--372},
315 Pl = {GERMANY},
316 Pmid = 9213556,
317 Pst = {ppublish},
318 Pt = {Journal Article; Research Support, Non-U.S. Gov't},
319 Pubm = {Print},
320 Rn = {0 (Immunoglobulin G); 0 (Proteins)},
321 Sb = {IM},
322 So = {Eur Biophys J. 1997;25(5-6):361-72.},
323 Stat = {MEDLINE},
324 Title = {SOLPRO: theory and computer program for the prediction of SOLution PROperties of rigid macromolecules and bioparticles.},
325 Volume = 25,
326 Year = 1997}
327
328 @article{Ravichandran:1999fk,
329 Abstract = {Detailed molecular dynamics simulations of the rotational and the translational motions of Gay-Berne ellipsoids in a sea of Lennard-Jones spheres have been carried out. It is found that while the translational motion of an ellipsoid is isotropic at low density, it becomes increasingly anisotropic with density until the ratio of the parallel to the perpendicular diffusion coefficients becomes nearly equal to the value of the aspect ratio at high density. The latter is in agreement with the prediction of Navier-Stokes hydrodynamics with slip boundary condition. The product of the translational diffusion coefficient and the rotational correlation time also attains a hydrodynamic-like density independent behavior only at high density. The reorientational correlation function becomes nonexponential at high density and low temperature where it also develops a slow decay. The perpendicular component of the velocity time correlation function exhibits a clear double minimum, only at high density, which becomes more pronounced as the aspect ratio is increased. (C) 1999 American Institute of Physics. [S0021-9606(99)51440-2].},
330 Author = {Ravichandran, S and Bagchi, B},
331 Date-Added = {2008-01-08 15:24:48 -0500},
332 Date-Modified = {2008-01-08 15:25:41 -0500},
333 Journal = jcp,
334 Pages = {7505-7511},
335 Title = {Anisotropic diffusion of nonspherical molecules in dense liquids: A molecular dynamics simulation of isolated ellipsoids in the sea of spheres},
336 Volume = 111,
337 Year = 1999}
338
339 @article{TANG:1993lr,
340 Abstract = {Translational friction coefficients of hard prolate ellipsoids (having aspect ratios of 1-10) have been calculated by solving the linearized Navier-Stokes equations of hydrodynamics, using the method of Faxen's theorem. When the stick boundary condition was used, the present results reproduce the famous work of Lamb. The new information derived from this study arises from the analysis of the friction under the influence of the slip hydrodynamic boundary condition. It was found that the slip friction perpendicular to the long axis of the prolate ellipsoid increases monotonically with aspect ratio, whereas the parallel component of the friction decreases monotonically to an apparent limiting value. The ratio f(perpendicular to)/f(parallel to) of friction coefficients perpendicular and parallel to the long axis of the particle, calculated using slip hydrodynamics, scales roughly as the aspect ratio of the ellipsoid, in accord with the findings from an Enskog (uncorrelated binary collision) kinetic theory of hard ellipsoids and from the estimate derived from molecular dynamics. In contrast, f(perpendicular to)/f(parallel to) derived by means of stick hydrodynamics shows a weak dependence on the aspect ratio and disagrees with kinetic theory and molecular dynamics findings.},
341 Author = {Tang, SA and Evans, GT},
342 Date-Added = {2008-01-08 15:23:42 -0500},
343 Date-Modified = {2008-01-08 15:24:09 -0500},
344 Journal = mp,
345 Pages = {1443-1457},
346 Title = {A CRITIQUE OF SLIP AND STICK HYDRODYNAMICS FOR ELLIPSOIDAL BODIES},
347 Volume = 80,
348 Year = 1993}
349
350 @article{Schmidt:2003kx,
351 Abstract = {Using molecular dynamics computer simulation, we have calculated the velocity autocorrelation function and diffusion constant for a spherical solute in a dense fluid of spherical solvent particles. The size and mass of the solute particle are related in such a way that we can naturally approach the Brownian limit (when the solute becomes much larger and more massive than the solvent particles). We find that as long as the solute radius is interpreted as an effective hydrodynamic radius, the Stokes-Einstein law with slip boundary conditions is satisfied as the Brownian limit is approached (specifically, when the solute is roughly 100 times more massive than the solvent particles). In contrast, the Stokes-Einstein law is not satisfied for a tagged particle of the neat solvent. We also find that in the Brownian limit the amplitude of the long-time tail of the solute's velocity autocorrelation function is in good agreement with theoretical hydrodynamic predictions. When the solvent density is substantially lower than the triple density, the Stokes-Einstein law is no longer satisfied, and the amplitude of the long-time tail is not in good agreement with theoretical predictions, signaling the breakdown of hydrodynamics. (C) 2003 American Institute of Physics.},
352 Author = {Schmidt, JR and Skinner, JL},
353 Date-Added = {2008-01-08 15:12:53 -0500},
354 Date-Modified = {2008-01-08 15:13:21 -0500},
355 Doi = {DOI 10.1063/1.1610442},
356 Journal = jcp,
357 Pages = {8062-8068},
358 Title = {Hydrodynamic boundary conditions, the Stokes-Einstein law, and long-time tails in the Brownian limit},
359 Volume = 119,
360 Year = 2003,
361 Bdsk-Url-1 = {http://dx.doi.org/10.1063/1.1610442}}
362
363 @article{Schmidt:2004fj,
364 Abstract = {Using molecular dynamics computer simulation, we have calculated the velocity autocorrelation function and diffusion constant for a variety of solutes in a dense fluid of spherical solvent particles. We explore the effects of surface roughness of the solute on the resulting hydrodynamic boundary condition as we naturally approach the Brownian limit (when the solute becomes much larger and more massive than the solvent particles). We find that when the solute and solvent interact through a purely repulsive isotropic potential, in the Brownian limit the Stokes-Einstein law is satisfied with slip boundary conditions. However, when surface roughness is introduced through an anisotropic solute-solvent interaction potential, we find that the Stokes-Einstein law is satisfied with stick boundary conditions. In addition, when the attractive strength of a short-range isotropic solute-solvent potential is increased, the solute becomes dressed with solvent particles, making it effectively rough, and so stick boundary conditions are again recovered.},
365 Author = {Schmidt, JR and Skinner, JL},
366 Date-Added = {2008-01-08 15:12:53 -0500},
367 Date-Modified = {2008-01-08 15:13:20 -0500},
368 Doi = {DOI 10.1021/jp037185r},
369 Journal = jpcb,
370 Pages = {6767-6771},
371 Title = {Brownian motion of a rough sphere and the Stokes-Einstein Law},
372 Volume = 108,
373 Year = 2004,
374 Bdsk-Url-1 = {http://dx.doi.org/10.1021/jp037185r}}
375
376 @article{Klein01,
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843 @article{NorbertKucerka06012006,
844 Abstract = {X-ray data are presented for the benchmark dipalmitoylphosphatidylcholine lipid bilayer in the most biologically relevant state in which the bilayers are fully hydrated and in the fluid (liquid-crystalline) phase. Form factors F(qz) are obtained from a combination of two sample preparations, oriented stacks of bilayers for qz extending to 0.85 A-1 and unilamellar vesicles for smaller qz. Modeling obtains the electron density profile and values for the area per molecule, for the locations of the component groups, and for the different types of thicknesses of the bilayer, such as the hydrocarbon thickness and the steric thickness.
845 },
846 Author = {Kucerka, Norbert and Tristram-Nagle, Stephanie and Nagle, John F.},
847 Date-Added = {2008-01-08 14:58:56 -0500},
848 Date-Modified = {2008-01-08 14:58:57 -0500},
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852 Number = 11,
853 Pages = {L83-85},
854 Title = {{Closer Look at Structure of Fully Hydrated Fluid Phase DPPC Bilayers}},
855 Url = {http://www.biophysj.org/cgi/content/abstract/90/11/L83},
856 Volume = 90,
857 Year = 2006,
858 Bdsk-Url-1 = {http://www.biophysj.org/cgi/content/abstract/90/11/L83},
859 Bdsk-Url-2 = {http://dx.doi.org/10.1529/biophysj.106.086017}}
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1455 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Hunenberger_IonSolutionEwaldArtifacts_99.pdf},
1456 Number = 4,
1457 Pages = {1856-1872},
1458 Title = {Ewald artifacts in computer simulations of ionic solvation and ion -- ion interaction: A continuum electrostatics study},
1459 Volume = 110,
1460 Year = 1999}
1461
1462 @article{Rhee89,
1463 Author = {Y.-J. Rhee and J.~W. Halley and J. Hautman and A. Rahman},
1464 Date-Added = {2008-01-08 14:58:56 -0500},
1465 Date-Modified = {2008-01-08 14:58:59 -0500},
1466 Journal = {Phys. Rev. B},
1467 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Rhee_finiteDimensionEwald_88.pdf},
1468 Number = 1,
1469 Pages = {36-42},
1470 Title = {Ewald methods in molecular dynamics for systems of finite extent in one of three dimensions},
1471 Volume = 40,
1472 Year = 1989}
1473
1474 @article{Yeh99,
1475 Author = {I.-C. Yeh and M.~L. Berkowitz},
1476 Date-Added = {2008-01-08 14:58:56 -0500},
1477 Date-Modified = {2008-01-08 14:58:59 -0500},
1478 Journal = {J. Chem. Phys.},
1479 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Yeh_SlabCorrectionEwald_99.pdf},
1480 Number = 7,
1481 Pages = {3155-3162},
1482 Title = {Ewald summation for systems with slab geometry},
1483 Volume = 111,
1484 Year = 1999}
1485
1486 @article{Brodka04,
1487 Author = {A. Br\'{o}dka},
1488 Date-Added = {2008-01-08 14:58:56 -0500},
1489 Date-Modified = {2008-01-08 14:58:59 -0500},
1490 Doi = {10.1016/j.cplett.2004.10.086},
1491 Journal = {Chem. Phys. Lett.},
1492 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Brodka_PointDipoleSlabEwald_04.pdf},
1493 Pages = {62-67},
1494 Title = {Ewald summation method with electrostatic layer correction for interactions of point dipoles in slab geometry},
1495 Volume = 400,
1496 Year = 2004,
1497 Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.cplett.2004.10.086}}
1498
1499 @article{Chuang98,
1500 Author = {I. Chuang and N. Gershenfeld and M. Kubinec},
1501 Date-Added = {2008-01-08 14:58:56 -0500},
1502 Date-Modified = {2008-01-08 14:58:59 -0500},
1503 Journal = prl,
1504 Pages = {3408-3411},
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1506 Volume = 80,
1507 Year = 1998}
1508
1509 @article{Banerjee02,
1510 Author = {Srilekha Banerjee},
1511 Date-Added = {2008-01-08 14:58:56 -0500},
1512 Date-Modified = {2008-01-08 14:58:59 -0500},
1513 Journal = {Physica A},
1514 Pages = {89-100},
1515 Title = {Exploring the Ripple Phase of Biomembranes},
1516 Volume = 308,
1517 Year = 2002}
1518
1519 @article{Bannerjee02,
1520 Author = {S. Bannerjee},
1521 Date-Added = {2008-01-08 14:58:56 -0500},
1522 Date-Modified = {2008-01-08 14:58:59 -0500},
1523 Journal = {Physica A},
1524 Pages = {89-100},
1525 Title = {Exploring the ripple phase of biomembranes},
1526 Volume = 308,
1527 Year = 2002}
1528
1529 @article{Cleaver96,
1530 Author = {Douglas J. Cleaver and Christopher M. Care and Michael P. Allen and Maureen P. Neal},
1531 Date-Added = {2008-01-08 14:58:56 -0500},
1532 Date-Modified = {2008-01-08 14:58:59 -0500},
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1537 Volume = 54,
1538 Year = 1996}
1539
1540 @article{Plimpton95,
1541 Author = {S. Plimpton},
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1547 Volume = 117,
1548 Year = 1995}
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1550 @article{Ayton97,
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1552 Date-Added = {2008-01-08 14:58:56 -0500},
1553 Date-Modified = {2008-01-08 14:58:59 -0500},
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1559 Year = 1997}
1560
1561 @article{Benninger:2005qy,
1562 Abstract = {The plasma membrane of cells is an ordered environment, giving rise to anisotropic orientation and restricted motion of molecules and proteins residing in the membrane. At the same time as being an organized matrix of defined structure, the cell membrane is heterogeneous and dynamic. Here we present a method where we use fluorescence imaging of linear dichroism to measure the orientation of molecules relative to the cell membrane. By detecting linear dichroism as well as fluorescence anisotropy, the orientation parameters are separated from dynamic properties such as rotational diffusion and homo energy transfer (energy migration). The sensitivity of the technique is enhanced by using two-photon excitation for higher photo-selection compared to single photon excitation. We show here that we can accurately image lipid organization in whole cell membranes and in delicate structures such as membrane nanotubes connecting two cells. The speed of our wide-field imaging system makes it possible to image changes in orientation and anisotropy occurring on a subsecond timescale. This is demonstrated by time-lapse studies showing that cholesterol depletion rapidly disrupts the orientation of a fluorophore located within the hydrophobic region of the cell membrane but not of a surface bound probe. This is consistent with cholesterol having an important role in stabilizing and ordering the lipid tails within the plasma membrane. },
1563 Annote = {10.1529/biophysj.104.050096},
1564 Author = {Benninger, Richard K. P. and Onfelt, Bjorn and Neil, Mark A. A. and Davis, Daniel M. and French, Paul M. W.},
1565 Date-Added = {2008-01-08 14:58:56 -0500},
1566 Date-Modified = {2008-01-08 14:58:59 -0500},
1567 Journal = bj,
1568 Journal1 = {Biophys. J.},
1569 Number = 1,
1570 Pages = {609--622},
1571 Title = {Fluorescence Imaging of Two-Photon Linear Dichroism: Cholesterol Depletion Disrupts Molecular Orientation in Cell Membranes},
1572 Ty = {JOUR},
1573 Url = {http://www.biophysj.org/cgi/content/abstract/88/1/609},
1574 Volume = 88,
1575 Year = 2005,
1576 Bdsk-Url-1 = {http://www.biophysj.org/cgi/content/abstract/88/1/609}}
1577
1578 @inbook{Blumen86,
1579 Address = {Amsterdam},
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1581 Chapter = {Reactions in Disordered Media Modelled by Fractals},
1582 Date-Added = {2008-01-08 14:58:56 -0500},
1583 Date-Modified = {2008-01-08 14:58:59 -0500},
1584 Editor = {Luciano Peitronero and E. Tosatti},
1585 Pages = 399,
1586 Publisher = {North-Holland},
1587 Series = {International Symposium on Fractals in Physics},
1588 Title = {Fractals in Physics},
1589 Year = 1986}
1590
1591 @article{Marland1979,
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1593 Date-Added = {2008-01-08 14:58:56 -0500},
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1595 Journal = prl,
1596 Number = 21,
1597 Pages = {1618-1621},
1598 Title = {Frustration Effect in Quantum Spin Systems},
1599 Volume = 43,
1600 Year = 1979}
1601
1602 @article{Berne72,
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1604 Date-Added = {2008-01-08 14:58:56 -0500},
1605 Date-Modified = {2008-01-08 14:58:59 -0500},
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1610 Year = 1972}
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1612 @article{Golubkov06,
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1616 Journal = jcp,
1617 Pages = 064103,
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1624 Date-Added = {2008-01-08 14:58:56 -0500},
1625 Date-Modified = {2008-01-08 14:58:59 -0500},
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1627 Journal = prl,
1628 Number = 15,
1629 Numpages = 4,
1630 Pages = 157802,
1631 Publisher = {APS},
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1633 Volume = 97,
1634 Year = 2006}
1635
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1644 Year = 1992}
1645
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1664 Volume = 48,
1665 Year = 1993}
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1669 Date-Added = {2008-01-08 14:58:56 -0500},
1670 Date-Modified = {2008-01-08 14:58:59 -0500},
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1676 Year = 1982}
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1686 Year = 1996}
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1693 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Roberts_IonSolventEwaldProbs_94.pdf},
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1698 Year = 1994}
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1700 @article{Stillinger85,
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1724 Date-Added = {2008-01-08 14:58:56 -0500},
1725 Date-Modified = {2008-01-08 14:58:59 -0500},
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1761 Year = 1987}
1762
1763 @article{Keshavamurthy94,
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1765 Date-Added = {2008-01-08 14:58:56 -0500},
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1772
1773 @article{Luty95,
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1777 Journal = {J. Chem. Phys.},
1778 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Luty_LatticeSumElectrostatics_95.pdf},
1779 Number = 8,
1780 Pages = {3014-3021},
1781 Title = {Lattice-sum methods for calculating electrostatic interactions in molecular simulations},
1782 Volume = 103,
1783 Year = 1995}
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1787 Date-Added = {2008-01-08 14:58:56 -0500},
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1793 Year = 1994}
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1795 @article{Sutton90,
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1805 @article{Bassolino95,
1806 Author = {D. Bassolino and H.~E. Alper and T.~R. Stouch},
1807 Date-Added = {2008-01-08 14:58:56 -0500},
1808 Date-Modified = {2008-01-08 14:58:59 -0500},
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1812 Volume = 117,
1813 Year = 1995}
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1815 @article{Lindahl00,
1816 Author = {E. Lindahl and O. Edholm},
1817 Date-Added = {2008-01-08 14:58:56 -0500},
1818 Date-Modified = {2008-01-08 14:58:59 -0500},
1819 Journal = bj,
1820 Month = {July},
1821 Pages = {426-433},
1822 Title = {Mesoscopic undulations and thickness fluctuations in lipid bilayers from molecular dynamics simulations},
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1824 Year = 2000}
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1826 @article{Gezelter99,
1827 Author = {J.~D. Gezelter and E. Rabani and B.~J. Berne},
1828 Date-Added = {2008-01-08 14:58:56 -0500},
1829 Date-Modified = {2008-01-08 14:58:59 -0500},
1830 Journal = jcp,
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1833 Volume = 110,
1834 Year = 1999}
1835
1836 @article{Sun97b,
1837 Author = {X. Sun and W.~H. Miller},
1838 Date-Added = {2008-01-08 14:58:56 -0500},
1839 Date-Modified = {2008-01-08 14:58:59 -0500},
1840 Journal = jcp,
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1842 Title = {Mixed semiclassical-classical approaches to the dynamics of complex molecular systems},
1843 Year = 1997}
1844
1845 @article{Goldstein88,
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1847 Date-Added = {2008-01-08 14:58:56 -0500},
1848 Date-Modified = {2008-01-08 14:58:59 -0500},
1849 Journal = prl,
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1851 Pages = {2213-2216},
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1853 Volume = 61,
1854 Year = 1988,
1855 Bdsk-File-1 = {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}}
1856
1857 @article{Daw89,
1858 Author = {Murray~S. Daw},
1859 Date-Added = {2008-01-08 14:58:56 -0500},
1860 Date-Modified = {2008-01-08 14:58:59 -0500},
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1865 Year = 1989}
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1867 @article{Heyes77,
1868 Author = {D.~M. Heyes and M. Barber and J.~H.~R. Clarke},
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1870 Date-Modified = {2008-01-08 14:58:59 -0500},
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1878 @article{Vuilleumier97,
1879 Author = {Rodolphe Vuilleumier and Daniel Borgis},
1880 Date-Added = {2008-01-08 14:58:56 -0500},
1881 Date-Modified = {2008-01-08 14:58:59 -0500},
1882 Journal = jpc,
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1884 Volume = {in press},
1885 Year = 1997}
1886
1887 @article{Nina02,
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1889 Date-Added = {2008-01-08 14:58:56 -0500},
1890 Date-Modified = {2008-01-08 14:58:59 -0500},
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1892 Pages = {3696-3705},
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1895 Year = 2002}
1896
1897 @article{Heller93,
1898 Author = {H. Heller and M. Schaefer and K. Schulten},
1899 Date-Added = {2008-01-08 14:58:56 -0500},
1900 Date-Modified = {2008-01-08 14:59:00 -0500},
1901 Journal = jpc,
1902 Pages = {8343-8360},
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1906
1907 @article{Smondyrev99,
1908 Author = {A.~M. Smondyrev and M.~L. Berkowitz},
1909 Date-Added = {2008-01-08 14:58:56 -0500},
1910 Date-Modified = {2008-01-08 14:59:00 -0500},
1911 Journal = bj,
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1917 @article{Marrink02,
1918 Author = {S.~J. Marrink and D.~P. Teileman},
1919 Date-Added = {2008-01-08 14:58:56 -0500},
1920 Date-Modified = {2008-01-08 14:59:00 -0500},
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1927 @article{Marrink03,
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2825 @article{NorbertKucerka04012005,
2826 Abstract = {Quantitative structures of the fully hydrated fluid phases of dimyristoylphosphatidylcholine (DMPC) and dilauroylphosphatidylcholine (DLPC) were obtained at 30{degrees}C. Data for the relative form factors F(qz) for DMPC were obtained using a combination of four methods. 1), Volumetric data provided F(0). 2), Diffuse x-ray scattering from oriented stacks of bilayers provided relative form factors |F(qz)| for high qz, 0.22 < qz < 0.8 A-1. 3), X-ray scattering from extruded unilamellar vesicles with diameter 600 A provided |F(qz)| for low qz, 0.1 < qz < 0.3 A-1. 4), Previous measurements using a liquid crystallographic x-ray method provided |F(2{pi}h/D)| for h = 1 and 2 for a range of nearly fully hydrated D-spacings. The data from method 4 overlap and validate the new unilamellar vesicles data for DMPC, so method 4 is not required for DLPC or future studies. We used hybrid electron density models to obtain structural results from these form factors. Comparison of the model electron density profiles with that of gel phase DMPC provides areas per lipid A, 60.6 {+/-} 0.5 A2 for DMPC and 63.2 {+/-} 0.5 A2 for DLPC. Constraints on the model provided by volume measurements and component volumes obtained from simulations put the electron density profiles {rho}(z) and the corresponding form factors F(qz) on absolute scales. Various thicknesses, such as the hydrophobic thickness and the steric thickness, are obtained and compared to literature values.
2827 },
2828 Author = {Kucerka, Norbert and Liu, Yufeng and Chu, Nanjun and Petrache, Horia I. and Tristram-Nagle, Stephanie and Nagle, John F.},
2829 Date-Added = {2008-01-08 14:58:56 -0500},
2830 Date-Modified = {2008-01-08 14:59:02 -0500},
2831 Doi = {10.1529/biophysj.104.056606},
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2833 Journal = {Biophys. J.},
2834 Number = 4,
2835 Pages = {2626-2637},
2836 Title = {{Structure of Fully Hydrated Fluid Phase DMPC and DLPC Lipid Bilayers Using X-Ray Scattering from Oriented Multilamellar Arrays and from Unilamellar Vesicles}},
2837 Url = {http://www.biophysj.org/cgi/content/abstract/88/4/2626},
2838 Volume = 88,
2839 Year = 2005,
2840 Bdsk-Url-1 = {http://www.biophysj.org/cgi/content/abstract/88/4/2626},
2841 Bdsk-Url-2 = {http://dx.doi.org/10.1529/biophysj.104.056606}}
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2971 Journal = jcp,
2972 Number = 6,
2973 Pages = {2742-2746},
2974 Title = {The effect of density on the inherent structure in liquids},
2975 Volume = 80,
2976 Year = 1984}
2977
2978 @article{Teixeira00,
2979 Author = {P~I~C Teixeira and J~M Tavares and M~M Telo da Gama},
2980 Date-Added = {2008-01-08 14:58:56 -0500},
2981 Date-Modified = {2008-01-08 14:59:02 -0500},
2982 Journal = {J. Phys.: Condens. Matter},
2983 Pages = {R411-R434},
2984 Title = {The effect of dipolar forces on the structure and thermodynamics of classical fluids},
2985 Volume = 12,
2986 Year = 2000}
2987
2988 @article{Parry75,
2989 Author = {D.~E. Parry},
2990 Date-Added = {2008-01-08 14:58:56 -0500},
2991 Date-Modified = {2008-01-08 14:59:02 -0500},
2992 Journal = {Surf. Sci.},
2993 Pages = {433-440},
2994 Title = {The electrostatic potential in the surface region of an ionic crystal},
2995 Volume = 49,
2996 Year = 1975}
2997
2998 @article{Daw93,
2999 Author = {M.~S. Daw and S.~M. Foiles and M.~I. Baskes},
3000 Date-Added = {2008-01-08 14:58:56 -0500},
3001 Date-Modified = {2008-01-08 14:59:02 -0500},
3002 Journal = {Mat. Sci. Rep.},
3003 Pages = {251-310},
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3005 Volume = 9,
3006 Year = 1993}
3007
3008 @article{Stratt95,
3009 Author = {R.~M. Stratt},
3010 Date-Added = {2008-01-08 14:58:56 -0500},
3011 Date-Modified = {2008-01-08 14:59:02 -0500},
3012 Journal = {Acc. Chem. Res.},
3013 Pages = {201-207},
3014 Title = {The instantaneous normal modes of liquids},
3015 Volume = 28,
3016 Year = 1995}
3017
3018 @article{Copeland80,
3019 Author = {B. R. Copeland and H. M. McConnell},
3020 Date-Added = {2008-01-08 14:58:56 -0500},
3021 Date-Modified = {2008-01-08 14:59:02 -0500},
3022 Journal = {Biochim. Biophys. Acta.},
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3024 Title = {The Rippled Structure in Bilayer Membranes of Phosphatidylcholine and Binary Mixture of Phosphatidylcholine and Cholesterol},
3025 Volume = 599,
3026 Year = 1980}
3027
3028 @article{Bembenek96,
3029 Author = {S.~D. Bembenek and B.~B. Laird},
3030 Date-Added = {2008-01-08 14:58:56 -0500},
3031 Date-Modified = {2008-01-08 14:59:02 -0500},
3032 Journal = jcp,
3033 Pages = 5199,
3034 Title = {The role of localization in glasses and supercooled liquids},
3035 Volume = 104,
3036 Year = 1996}
3037
3038 @article{Andrea83,
3039 Author = {T.~A. Andrea and W.~C. Swope and H.~C. Andersen},
3040 Date-Added = {2008-01-08 14:58:56 -0500},
3041 Date-Modified = {2008-01-08 14:59:02 -0500},
3042 Journal = {J. Chem. Phys.},
3043 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/WaterSimulation/Andrea_LongRangeForcesInWater_83.pdf},
3044 Number = 9,
3045 Pages = {4576-4584},
3046 Title = {The role of long ranged forces in determining the structure and properties of liquid water},
3047 Volume = 79,
3048 Year = 1983}
3049
3050 @article{Brannigan04b,
3051 Author = {G. Brannigan and A.~C. Tamboli and F.~L.~H. Brown},
3052 Date-Added = {2008-01-08 14:58:56 -0500},
3053 Date-Modified = {2008-01-08 14:59:02 -0500},
3054 Journal = jcp,
3055 Key = 121,
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3057 Title = {The role of molecular shape in bilayer elasticity and phase behavior},
3058 Volume = 7,
3059 Year = 2004}
3060
3061 @article{Buchner92,
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3063 Date-Added = {2008-01-08 14:58:56 -0500},
3064 Date-Modified = {2008-01-08 14:59:02 -0500},
3065 Journal = jcp,
3066 Pages = {8522-8535},
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3068 Volume = 97,
3069 Year = 1992}
3070
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3075 Journal = {Chem. Phys. Lett.},
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3079 Year = 1996}
3080
3081 @article{Holm05,
3082 Author = {C. Holm and J.-J. Weis},
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3088 Volume = 10,
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3094 Date-Modified = {2008-01-08 14:59:02 -0500},
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3099 Volume = 70,
3100 Year = 1946}
3101
3102 @article{Toulouse1977,
3103 Author = {G. Toulouse},
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3110 Volume = 2,
3111 Year = 1977}
3112
3113 @article{Carlson87,
3114 Author = {J.~M. Carlson and J.~P. Sethna},
3115 Date-Added = {2008-01-08 14:58:56 -0500},
3116 Date-Modified = {2008-01-08 14:59:02 -0500},
3117 Journal = pra,
3118 Number = 7,
3119 Pages = 3359,
3120 Title = {Theory of ripple phase in hydrated phospholipid bilayers},
3121 Volume = 36,
3122 Year = 1987}
3123
3124 @article{Lubensky93,
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3126 Date-Added = {2008-01-08 14:58:56 -0500},
3127 Date-Modified = {2008-01-08 14:59:02 -0500},
3128 Journal = prl,
3129 Number = 10,
3130 Pages = {1565-1568},
3131 Title = {Theory of ``Ripple'' Phases of Lipid Bilayers},
3132 Volume = 71,
3133 Year = 1993}
3134
3135 @book{Hansen86,
3136 Address = {London},
3137 Author = {J.~P. Hansen and I.~R. McDonald},
3138 Chapter = 7,
3139 Date-Added = {2008-01-08 14:58:56 -0500},
3140 Date-Modified = {2008-01-08 14:59:02 -0500},
3141 Pages = {199-206},
3142 Publisher = {Academic Press},
3143 Title = {Theory of Simple Liquids},
3144 Year = 1986}
3145
3146 @article{Marder84,
3147 Author = {M. Marder and H.~L. Frisch and J.~S. Langer and H.~M. McConnell},
3148 Date-Added = {2008-01-08 14:58:56 -0500},
3149 Date-Modified = {2008-01-08 14:59:02 -0500},
3150 Journal = pnas,
3151 Pages = {6559-6561},
3152 Title = {Theory of the intermediate rippled phase of phospholipid bilayers},
3153 Volume = 81,
3154 Year = 1984}
3155
3156 @book{Tobias90,
3157 Address = {Tucson},
3158 Author = {Sheila Tobias},
3159 Date-Added = {2008-01-08 14:58:56 -0500},
3160 Date-Modified = {2008-01-08 14:59:02 -0500},
3161 Publisher = {Research Corp.},
3162 Title = {They're not Dumb. They're Different: Stalking the Second Tier},
3163 Year = 1990}
3164
3165 @article{Tao91,
3166 Author = {R. Tao and J. M. Sun},
3167 Date-Added = {2008-01-08 14:58:56 -0500},
3168 Date-Modified = {2008-01-08 14:59:02 -0500},
3169 Journal = prl,
3170 Number = 3,
3171 Pages = {398-401},
3172 Title = {Three-Dimensional Structure of Induced Electrorheological Solid},
3173 Volume = 67,
3174 Year = 1991}
3175
3176 @article{Bratko95,
3177 Author = {L. Blum and F. Vericat and D. Bratko},
3178 Date-Added = {2008-01-08 14:58:56 -0500},
3179 Date-Modified = {2008-01-08 14:59:02 -0500},
3180 Journal = jcp,
3181 Number = 3,
3182 Pages = {1461-1462},
3183 Title = {Towards an analytical model of water: The octupolar model},
3184 Volume = 102,
3185 Year = 1995}
3186
3187 @article{Martin98,
3188 Author = {M. Martin and J.~I. Siepmann},
3189 Date-Added = {2008-01-08 14:58:56 -0500},
3190 Date-Modified = {2008-01-08 14:59:02 -0500},
3191 Journal = jpcB,
3192 Pages = {2569-2577},
3193 Title = {Transferable Potentials for Phase Equilibria. 1. United-Atom Description of n-Alkanes},
3194 Volume = 102,
3195 Year = 1998}
3196
3197 @article{Misbah98,
3198 Author = {C. Misbah and J. Duplat and B. Houchmandzadeh},
3199 Date-Added = {2008-01-08 14:58:56 -0500},
3200 Date-Modified = {2008-01-08 14:59:02 -0500},
3201 Journal = prl,
3202 Number = 20,
3203 Pages = {4598-4601},
3204 Title = {Transition to Ripple Phases in Hydrated Amphiphiles},
3205 Volume = 80,
3206 Year = 1998}
3207
3208 @article{Alemany98,
3209 Author = {M.~M.~G. Alemany and C. Rey and L.~J. Gallego},
3210 Date-Added = {2008-01-08 14:58:56 -0500},
3211 Date-Modified = {2008-01-08 14:59:02 -0500},
3212 Journal = jcp,
3213 Pages = {5175-5176},
3214 Title = {Transport coefficients of liquid transition metals: A computer simulation study using the embedded atom model},
3215 Volume = 109,
3216 Year = 1998}
3217
3218 @article{Born12,
3219 Author = {M. Born and Th. Von~Karman},
3220 Date-Added = {2008-01-08 14:58:56 -0500},
3221 Date-Modified = {2008-01-08 14:59:02 -0500},
3222 Journal = {Physik Z.},
3223 Number = {297-309},
3224 Title = {Uber Schwingungen in Raumgittern},
3225 Volume = 13,
3226 Year = 1912}
3227
3228 @incollection{Angell85,
3229 Address = {Springfield, VA},
3230 Author = {C.~A. Angell},
3231 Booktitle = {Relaxations in Complex Systems},
3232 Date-Added = {2008-01-08 14:58:56 -0500},
3233 Date-Modified = {2008-01-08 14:59:03 -0500},
3234 Editor = {K.~Ngai and G.~B. Wright},
3235 Pages = 1,
3236 Publisher = {National Technical Information Service, U.S. Department of Commerce},
3237 Title = {unknown},
3238 Year = 1985}
3239
3240 @article{Ribeiro98,
3241 Author = {M.~C.~C. Ribeiro and P.~A. Madden},
3242 Date-Added = {2008-01-08 14:58:56 -0500},
3243 Date-Modified = {2008-01-08 14:59:03 -0500},
3244 Journal = jcp,
3245 Pages = {3256-3263},
3246 Title = {Unstable Modes in Ionic Melts},
3247 Volume = 108,
3248 Year = 1998}
3249
3250 @article{Mutz1991,
3251 Author = {Mutz, M. and Bensimon, D. and Brienne, M. J.},
3252 Date-Added = {2008-01-08 14:58:56 -0500},
3253 Date-Modified = {2008-01-08 14:59:03 -0500},
3254 Doi = {10.1103/PhysRevLett.67.923},
3255 Journal = {Phys. Rev. Lett.},
3256 Month = {Aug},
3257 Number = 7,
3258 Numpages = 3,
3259 Pages = {923--926},
3260 Publisher = {American Physical Society},
3261 Title = {Wrinkling transition in partially polymerized vesicles},
3262 Volume = 67,
3263 Year = 1991,
3264 Bdsk-Url-1 = {http://dx.doi.org/10.1103/PhysRevLett.67.923}}
3265
3266 @article{Wendt78,
3267 Author = {H. Wendt and F.~F. Abraham},
3268 Date-Added = {2008-01-08 14:58:56 -0500},
3269 Date-Modified = {2008-01-08 14:59:03 -0500},
3270 Journal = prl,
3271 Pages = 1244,
3272 Volume = 41,
3273 Year = 1978}
3274
3275 @unpublished{Truhlar00,
3276 Author = {D.~G. Truhlar and A. Kohen},
3277 Date-Added = {2008-01-08 14:58:56 -0500},
3278 Date-Modified = {2008-01-08 14:59:03 -0500},
3279 Note = {private correspondence},
3280 Year = 2000}
3281
3282 @article{Dwyer1977,
3283 Author = {D.~J. Dwyer and G.~W. Simmons and R.~P. Wei},
3284 Date-Added = {2008-01-08 14:58:56 -0500},
3285 Date-Modified = {2008-01-08 14:59:03 -0500},
3286 Journal = {Surf. Sci.},
3287 Pages = 617,
3288 Volume = 64,
3289 Year = 1977}
3290
3291 @article{Macritche78,
3292 Author = {F. MacRitche},
3293 Date-Added = {2008-01-08 14:58:56 -0500},
3294 Date-Modified = {2008-01-08 14:59:03 -0500},
3295 Journal = {Adv. Protein Chem.},
3296 Pages = 283,
3297 Volume = 32,
3298 Year = 1978}
3299
3300 @article{Feder80,
3301 Author = {J. Feder},
3302 Date-Added = {2008-01-08 14:58:56 -0500},
3303 Date-Modified = {2008-01-08 14:59:03 -0500},
3304 Journal = {J. Theor. Biol.},
3305 Pages = 237,
3306 Volume = 87,
3307 Year = 1980}
3308
3309 @article{Ramsden93,
3310 Author = {J.~J. Ramsden},
3311 Date-Added = {2008-01-08 14:58:56 -0500},
3312 Date-Modified = {2008-01-08 14:59:03 -0500},
3313 Journal = prl,
3314 Pages = 295,
3315 Volume = 71,
3316 Year = 1993}
3317
3318 @article{Egelhoff89,
3319 Author = {W.~F. Egelhoff and I. Jacob},
3320 Date-Added = {2008-01-08 14:58:56 -0500},
3321 Date-Modified = {2008-01-08 14:59:03 -0500},
3322 Journal = prl,
3323 Pages = 921,
3324 Volume = 62,
3325 Year = 1989}
3326
3327 @article{Dobson1987,
3328 Author = {B.~W. Dobson},
3329 Date-Added = {2008-01-08 14:58:56 -0500},
3330 Date-Modified = {2008-01-08 14:59:03 -0500},
3331 Journal = prb,
3332 Pages = 1068,
3333 Volume = 36,
3334 Year = 1987}
3335
3336 @article{Davis:1969uq,
3337 Abstract = { Exact solutions of the Stokes equations are derived for the case of two unequal spheres slowly rotating or translating perpendicular to their line of centers in a quiescent, unbounded viscous fluid, following Wakiya[16]. Numerical results are presented for the force and torque coefficients for size ratios from 1[middle dot]0 to 10[middle dot]0, and separations down to 0[middle dot]001 times the radius of the smaller.},
3338 Author = {Davis, M. H.},
3339 Date-Added = {2008-01-08 14:57:14 -0500},
3340 Date-Modified = {2008-01-08 14:57:14 -0500},
3341 Journal = {Chemical Engineering Science},
3342 Number = 12,
3343 Pages = {1769--1776},
3344 Title = {The slow translation and rotation of two unequal spheres in a viscous fluid},
3345 Ty = {JOUR},
3346 Url = {http://www.sciencedirect.com/science/article/B6TFK-445H8BM-84/2/b34951283900cdde792ec1309ec51565},
3347 Volume = 24,
3348 Year = 1969,
3349 Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6TFK-445H8BM-84/2/b34951283900cdde792ec1309ec51565}}
3350
3351 @article{Stimson:1926qy,
3352 Author = {Stimson, M and Jeffery, GB},
3353 Date-Added = {2008-01-08 14:51:23 -0500},
3354 Date-Modified = {2008-01-08 14:51:35 -0500},
3355 Journal = {Proceedings of the Royal Society of London Series A-Containing Papers of a Mathematical and Physical Character},
3356 Pages = {110-116},
3357 Title = {The motion of two spheres in a viscous fluid},
3358 Volume = 111,
3359 Year = 1926}
3360
3361 @article{Orlandi:2006fk,
3362 Abstract = {Liquid crystal phases formed by bent-shaped (or {\tt{}"{}}banana{\tt{}"{}}) molecules are currently of great interest. Here we investigate by Monte Carlo computer simulations the phases formed by rigid banana molecules modeled combining three Gay-Berne sites and containing either one central or two lateral and transversal dipoles. We show that changing the dipole position and orientation has a profound effect on the mesophase stability and molecular organization. In particular, we find a uniaxial nematic phase only for off-center dipolar models and tilted phases only for the one with terminal dipoles.},
3363 Address = {Dipartimento di Chimica Fisica e Inorganica, and INSTM, Universita di Bologna, Viale Risorgimento 4, 40136 Bologna, Italy.},
3364 Au = {Orlandi, S and Berardi, R and Steltzer, J and Zannoni, C},
3365 Author = {Orlandi, Silvia and Berardi, Roberto and Steltzer, Joachim and Zannoni, Claudio},
3366 Da = 20060407,
3367 Date-Added = {2008-01-08 14:47:56 -0500},
3368 Date-Modified = {2008-01-08 14:48:06 -0500},
3369 Dcom = 20070727,
3370 Doi = {10.1063/1.2176622},
3371 Edat = {2006/04/08 09:00},
3372 Issn = {0021-9606 (Print)},
3373 Jid = 0375360,
3374 Journal = {J Chem Phys},
3375 Jt = {The Journal of chemical physics},
3376 Language = {eng},
3377 Mhda = {2006/04/08 09:01},
3378 Number = 12,
3379 Own = {NLM},
3380 Pages = 124907,
3381 Pl = {United States},
3382 Pmid = 16599725,
3383 Pst = {ppublish},
3384 Pt = {Journal Article},
3385 Pubm = {Print},
3386 So = {J Chem Phys. 2006 Mar 28;124(12):124907.},
3387 Stat = {PubMed-not-MEDLINE},
3388 Title = {A Monte Carlo study of the mesophases formed by polar bent-shaped molecules.},
3389 Volume = 124,
3390 Year = 2006,
3391 Bdsk-Url-1 = {http://dx.doi.org/10.1063/1.2176622}}
3392
3393 @article{sun:031602,
3394 Author = {Xiuquan Sun and J. Daniel Gezelter},
3395 Date-Added = {2008-01-08 14:42:33 -0500},
3396 Date-Modified = {2008-01-08 14:42:33 -0500},
3397 Doi = {10.1103/PhysRevE.75.031602},
3398 Eid = 031602,
3399 Journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)},
3400 Keywords = {lattice theory; membranes},
3401 Number = 3,
3402 Numpages = 7,
3403 Pages = 031602,
3404 Publisher = {APS},
3405 Title = {Spontaneous corrugation of dipolar membranes},
3406 Url = {http://link.aps.org/abstract/PRE/v75/e031602},
3407 Volume = 75,
3408 Year = 2007,
3409 Bdsk-Url-1 = {http://link.aps.org/abstract/PRE/v75/e031602},
3410 Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevE.75.031602}}
3411
3412 @article{Ortega:2007lr,
3413 Abstract = {The equivalent radius for any solution property is the radius of a spherical particle having the same value of solution property as that of the macromolecule under consideration. Equivalent radii for different properties present a dependence on size and shape that are more similar than the values of the properties themselves. Furthermore, the ratios of equivalent radii of two properties depend on the conformation (shape or flexibility), but not on the absolute sizes. We define equivalent radii and their ratios, and describe their evaluation for some common models of rigid and flexible macromolecules. Using radii and ratios, we have devised procedures to fit macromolecular models to experimental properties, allowing the determination of the model parameters. Using these quantities, we can construct target functions for an equilibrated, unbiased optimization. The procedures, which have been implemented in public-domain computer programs, are illustrated for rigid, globular proteins, and the rodlike tobacco mosaic virus, and for semiflexible, wormlike heparin molecules.},
3414 Address = {Departamento de Quimica Fisica, Facultad de Quimica, Universidad de Murcia, 30071 Murcia, Spain.},
3415 Au = {Ortega, A and {Garc\'{i}a de la Torre}, Jose},
3416 Author = {Ortega, A and {Garc\'{i}a de la Torre}, Jose},
3417 Da = 20070813,
3418 Date-Added = {2008-01-08 14:38:03 -0500},
3419 Date-Modified = {2008-01-08 14:38:49 -0500},
3420 Dcom = 20071017,
3421 Dep = 20070724,
3422 Doi = {10.1021/bm700473f},
3423 Edat = {2007/07/25 09:00},
3424 Issn = {1525-7797 (Print)},
3425 Jid = 100892849,
3426 Journal = {Biomacromolecules},
3427 Jt = {Biomacromolecules},
3428 Keywords = {Computer Simulation; Heparin/chemistry; Macromolecular Substances/*chemistry; *Models, Chemical; *Models, Molecular; Molecular Conformation; Particle Size; Protein Conformation; Proteins/chemistry; Software; Solutions},
3429 Language = {eng},
3430 Mhda = {2007/10/18 09:00},
3431 Number = 8,
3432 Own = {NLM},
3433 Pages = {2464--2475},
3434 Phst = {2007/07/24 {$[$}aheadofprint{$]$}},
3435 Pl = {United States},
3436 Pmid = 17645309,
3437 Pst = {ppublish},
3438 Pt = {Journal Article; Research Support, Non-U.S. Gov't},
3439 Pubm = {Print-Electronic},
3440 Rn = {0 (Macromolecular Substances); 0 (Proteins); 0 (Solutions); 9005-49-6 (Heparin)},
3441 Sb = {IM},
3442 So = {Biomacromolecules. 2007 Aug;8(8):2464-75. Epub 2007 Jul 24.},
3443 Stat = {MEDLINE},
3444 Title = {Equivalent radii and ratios of radii from solution properties as indicators of macromolecular conformation, shape, and flexibility.},
3445 Volume = 8,
3446 Year = 2007,
3447 Bdsk-Url-1 = {http://dx.doi.org/10.1021/bm700473f}}
3448
3449 @article{Torre2003,
3450 Abstract = {While the prediction of hydrodynamic properties of rigid particles
3451 is nowadays feasible using simple and efficient computer programs,
3452 the calculation of such properties and, in general, the dynamic
3453 behavior of flexible macromolecules has not reached a similar situation.
3454 Although the theories are available, usually the computational work
3455 is done using solutions specific for each problem. We intend to
3456 develop computer programs that would greatly facilitate the task
3457 of predicting solution behavior of flexible macromolecules. In this
3458 paper, we first present an overview of the two approaches that are
3459 most practical: the Monte Carlo rigid-body treatment, and the Brownian
3460 dynamics simulation technique. The Monte Carlo procedure is based
3461 on the calculation of properties for instantaneous conformations
3462 of the macromolecule that are regarded as if they were instantaneously
3463 rigid. We describe how a Monte Carlo program can be interfaced to
3464 the programs in the HYDRO suite for rigid particles, and provide
3465 an example of such calculation, for a hypothetical particle: a protein
3466 with two domains connected by a flexible linker. We also describe
3467 briefly the essentials of Brownian dynamics, and propose a general
3468 mechanical model that includes several kinds of intramolecular interactions,
3469 such as bending, internal rotation, excluded volume effects, etc.
3470 We provide an example of the application of this methodology to
3471 the dynamics of a semiflexible, wormlike DNA.},
3472 Annote = {724XK Times Cited:6 Cited References Count:64},
3473 Author = {{Garc\'{i}a de la Torre}, Jose and H. E. Sanchez and A. Ortega and J. G. Hernandez and M. X. Fernandes and F. G. Diaz and M. C. L. Martinez},
3474 Issn = {0175-7571},
3475 Journal = {European Biophysics Journal with Biophysics Letters},
3476 Month = {Aug},
3477 Number = 5,
3478 Pages = {477-486},
3479 Title = {Calculation of the solution properties of flexible macromolecules: methods and applications},
3480 Uri = {<Go to ISI>://000185513400011},
3481 Volume = 32,
3482 Year = 2003}
3483
3484 @article{Alakent2005,
3485 Abstract = {Time series analysis tools are employed on the principal modes obtained
3486 from the C-alpha trajectories from two independent molecular-dynamics
3487 simulations of alpha-amylase inhibitor (tendamistat). Fluctuations
3488 inside an energy minimum (intraminimum motions), transitions between
3489 minima (interminimum motions), and relaxations in different hierarchical
3490 energy levels are investigated and compared with those encountered
3491 in vacuum by using different sampling window sizes and intervals.
3492 The low-frequency low-indexed mode relationship, established in
3493 vacuum, is also encountered in water, which shows the reliability
3494 of the important dynamics information offered by principal components
3495 analysis in water. It has been shown that examining a short data
3496 collection period (100 ps) may result in a high population of overdamped
3497 modes, while some of the low-frequency oscillations (< 10 cm(-1))
3498 can be captured in water by using a longer data collection period
3499 (1200 ps). Simultaneous analysis of short and long sampling window
3500 sizes gives the following picture of the effect of water on protein
3501 dynamics. Water makes the protein lose its memory: future conformations
3502 are less dependent on previous conformations due to the lowering
3503 of energy barriers in hierarchical levels of the energy landscape.
3504 In short-time dynamics (< 10 ps), damping factors extracted from
3505 time series model parameters are lowered. For tendamistat, the friction
3506 coefficient in the Langevin equation is found to be around 40-60
3507 cm(-1) for the low-indexed modes, compatible with literature. The
3508 fact that water has increased the friction and that on the other
3509 hand has lubrication effect at first sight contradicts. However,
3510 this comes about because water enhances the transitions between
3511 minima and forces the protein to reduce its already inherent inability
3512 to maintain oscillations observed in vacuum. Some of the frequencies
3513 lower than 10 cm(-1) are found to be overdamped, while those higher
3514 than 20 cm(-1) are slightly increased. As for the long-time dynamics
3515 in water, it is found that random-walk motion is maintained for
3516 approximately 200 ps (about five times of that in vacuum) in the
3517 low-indexed modes, showing the lowering of energy barriers between
3518 the higher-level minima.},
3519 Annote = {973OH Times Cited:1 Cited References Count:33},
3520 Author = {B. Alakent and M. C. Camurdan and P. Doruker},
3521 Issn = {0021-9606},
3522 Journal = jcp,
3523 Month = {Oct 8},
3524 Number = 14,
3525 Pages = {-},
3526 Title = {Hierarchical structure of the energy landscape of proteins revisited by time series analysis. II. Investigation of explicit solvent effects},
3527 Uri = {<Go to ISI>://000232532000064},
3528 Volume = 123,
3529 Year = 2005}
3530
3531 @book{Alexander1987,
3532 Address = {New York},
3533 Author = {C. Alexander},
3534 Publisher = {Oxford University Press},
3535 Title = {A Pattern Language: Towns, Buildings, Construction},
3536 Year = 1987}
3537
3538 @book{Allen1987,
3539 Address = {New York},
3540 Author = {M.~P. Allen and D.~J. Tildesley},
3541 Publisher = {Oxford University Press},
3542 Title = {Computer Simulations of Liquids},
3543 Year = 1987}
3544
3545 @article{Allison1991,
3546 Abstract = {A Brownian dynamics algorithm is developed to simulate dynamics experiments
3547 of rigid macromolecules. It is applied to polarized dynamic light
3548 scattering from rodlike sturctures and from a model of a DNA fragment
3549 (762 base pairs). A number of rod cases are examined in which the
3550 translational anisotropy is increased form zero to a large value.
3551 Simulated first cumulants as well as amplitudes and lifetimes of
3552 the dynamic form factor are compared with predictions of analytic
3553 theories and found to be in very good agreement with them. For DNA
3554 fragments 762 base pairs in length or longer, translational anisotropy
3555 does not contribute significantly to dynamic light scattering. In
3556 a comparison of rigid and flexible simulations on semistiff models
3557 of this fragment, it is shown directly that flexing contributes
3558 to the faster decay processes probed by light scattering and that
3559 the flexible model studies are in good agreement with experiment.},
3560 Annote = {Eu814 Times Cited:8 Cited References Count:32},
3561 Author = {S. A. Allison},
3562 Issn = {0024-9297},
3563 Journal = {Macromolecules},
3564 Month = {Jan 21},
3565 Number = 2,
3566 Pages = {530-536},
3567 Title = {A Brownian Dynamics Algorithm for Arbitrary Rigid Bodies - Application to Polarized Dynamic Light-Scattering},
3568 Uri = {<Go to ISI>://A1991EU81400029},
3569 Volume = 24,
3570 Year = 1991}
3571
3572 @article{Andersen1983,
3573 Annote = {Rq238 Times Cited:559 Cited References Count:14},
3574 Author = {H. C. Andersen},
3575 Issn = {0021-9991},
3576 Journal = jcop,
3577 Number = 1,
3578 Pages = {24-34},
3579 Title = {Rattle - a Velocity Version of the Shake Algorithm for Molecular-Dynamics Calculations},
3580 Uri = {<Go to ISI>://A1983RQ23800002},
3581 Volume = 52,
3582 Year = 1983}
3583
3584 @article{Auerbach2005,
3585 Abstract = {Acetylcholine receptor channels (AChRs) are proteins that switch between
3586 stable #closed# and #open# conformations. In patch clamp recordings,
3587 diliganded AChR gating appears to be a simple, two-state reaction.
3588 However, mutagenesis studies indicate that during gating dozens
3589 of residues across the protein move asynchronously and are organized
3590 into rigid body gating domains (#blocks#). Moreover, there is an
3591 upper limit to the apparent channel opening rate constant. These
3592 observations suggest that the gating reaction has a broad, corrugated
3593 transition state region, with the maximum opening rate reflecting,
3594 in part, the mean first-passage time across this ensemble. Simulations
3595 reveal that a flat, isotropic energy profile for the transition
3596 state can account for many of the essential features of AChR gating.
3597 With this mechanism, concerted, local structural transitions that
3598 occur on the broad transition state ensemble give rise to fractional
3599 measures of reaction progress (Phi values) determined by rate-equilibrium
3600 free energy relationship analysis. The results suggest that the
3601 coarse-grained AChR gating conformational change propagates through
3602 the protein with dynamics that are governed by the Brownian motion
3603 of individual gating blocks.},
3604 Annote = {895QF Times Cited:9 Cited References Count:33},
3605 Author = {A. Auerbach},
3606 Issn = {0027-8424},
3607 Journal = pnas,
3608 Month = {Feb 1},
3609 Number = 5,
3610 Pages = {1408-1412},
3611 Title = {Gating of acetylcholine receptor channels: Brownian motion across a broad transition state},
3612 Uri = {<Go to ISI>://000226877300030},
3613 Volume = 102,
3614 Year = 2005}
3615
3616 @article{Baber1995,
3617 Abstract = {The effect of the general anesthetics halothane, enflurane, and isoflurane
3618 on hydrocarbon chain packing in palmitoyl(d(31))oleoylphosphatidylcholine
3619 membranes in the liquid crystalline phase was investigated using
3620 H-2 NMR. Upon the addition of the anesthetics, the first five methylene
3621 units near the interface generally show a very small increase in
3622 segmental order, while segments deeper within the bilayer show a
3623 small decrease in segmental order. From the H-2 NMR results, the
3624 chain length for the perdeuterated palmitoyl chain in the absence
3625 of anesthetic was found to be 12.35 Angstrom. Upon the addition
3626 of halothane enflurane, or isoflurane, the acyl chain undergoes
3627 slight contractions of 0.11, 0.20, or 0.16 Angstrom, respectively,
3628 at 50 mol % anesthetic. A simple model was used to estimate the
3629 relative amounts of anesthetic located near the interface and deeper
3630 in the bilayer hydrocarbon region, and only a slight preference
3631 for an interfacial location was observed. Intermolecular H-1-H-1
3632 nuclear Overhauser effects (NOEs) were measured between phospholipid
3633 and halothane protons. These NOEs are consistent with the intramembrane
3634 location of the anesthetics suggested by the H-2 NMR data. In addition,
3635 the NOE data indicate that anesthetics prefer the interfacial and
3636 hydrocarbon regions of the membrane and are not found in high concentrations
3637 in the phospholipid headgroup.},
3638 Annote = {Qz716 Times Cited:38 Cited References Count:37},
3639 Author = {J. Baber and J. F. Ellena and D. S. Cafiso},
3640 Issn = {0006-2960},
3641 Journal = {Biochemistry},
3642 Month = {May 16},
3643 Number = 19,
3644 Pages = {6533-6539},
3645 Title = {Distribution of General-Anesthetics in Phospholipid-Bilayers Determined Using H-2 Nmr and H-1-H-1 Noe Spectroscopy},
3646 Uri = {<Go to ISI>://A1995QZ71600035},
3647 Volume = 34,
3648 Year = 1995}
3649
3650 @article{Banerjee2004,
3651 Abstract = {Based on a coherent state representation of noise operator and an
3652 ensemble averaging procedure using Wigner canonical thermal distribution
3653 for harmonic oscillators, a generalized quantum Langevin equation
3654 has been recently developed [Phys. Rev. E 65, 021109 (2002); 66,
3655 051106 (2002)] to derive the equations of motion for probability
3656 distribution functions in c-number phase-space. We extend the treatment
3657 to explore several systematic approximation schemes for the solutions
3658 of the Langevin equation for nonlinear potentials for a wide range
3659 of noise correlation, strength and temperature down to the vacuum
3660 limit. The method is exemplified by an analytic application to harmonic
3661 oscillator for arbitrary memory kernel and with the help of a numerical
3662 calculation of barrier crossing, in a cubic potential to demonstrate
3663 the quantum Kramers' turnover and the quantum Arrhenius plot. (C)
3664 2004 American Institute of Physics.},
3665 Annote = {816YY Times Cited:8 Cited References Count:35},
3666 Author = {D. Banerjee and B. C. Bag and S. K. Banik and D. S. Ray},
3667 Issn = {0021-9606},
3668 Journal = jcp,
3669 Month = {May 15},
3670 Number = 19,
3671 Pages = {8960-8972},
3672 Title = {Solution of quantum Langevin equation: Approximations, theoretical and numerical aspects},
3673 Uri = {<Go to ISI>://000221146400009},
3674 Volume = 120,
3675 Year = 2004}
3676
3677 @article{Barojas1973,
3678 Author = {J. Barojas and D. Levesque},
3679 Journal = {Phys. Rev. A},
3680 Pages = {1092-1105},
3681 Title = {Simulation of Diatomic Homonuclear Liquids},
3682 Volume = 7,
3683 Year = 1973}
3684
3685 @article{Barth1998,
3686 Abstract = {We present an efficient new method termed LN for propagating biomolecular
3687 dynamics according to the Langevin equation that arose fortuitously
3688 upon analysis of the range of harmonic validity of our normal-mode
3689 scheme LIN. LN combines force linearization with force splitting
3690 techniques and disposes of LIN'S computationally intensive minimization
3691 (anharmonic correction) component. Unlike the competitive multiple-timestepping
3692 (MTS) schemes today-formulated to be symplectic and time-reversible-LN
3693 merges the slow and fast forces via extrapolation rather than impulses;
3694 the Langevin heat bath prevents systematic energy drifts. This combination
3695 succeeds in achieving more significant speedups than these MTS methods
3696 which are Limited by resonance artifacts to an outer timestep less
3697 than some integer multiple of half the period of the fastest motion
3698 (around 4-5 fs for biomolecules). We show that LN achieves very
3699 good agreement with small-timestep solutions of the Langevin equation
3700 in terms of thermodynamics (energy means and variances), geometry,
3701 and dynamics (spectral densities) for two proteins in vacuum and
3702 a large water system. Significantly, the frequency of updating the
3703 slow forces extends to 48 fs or more, resulting in speedup factors
3704 exceeding 10. The implementation of LN in any program that employs
3705 force-splitting computations is straightforward, with only partial
3706 second-derivative information required, as well as sparse Hessian/vector
3707 multiplication routines. The linearization part of LN could even
3708 be replaced by direct evaluation of the fast components. The application
3709 of LN to biomolecular dynamics is well suited for configurational
3710 sampling, thermodynamic, and structural questions. (C) 1998 American
3711 Institute of Physics.},
3712 Annote = {105HH Times Cited:29 Cited References Count:49},
3713 Author = {E. Barth and T. Schlick},
3714 Issn = {0021-9606},
3715 Journal = jcp,
3716 Month = {Aug 1},
3717 Number = 5,
3718 Pages = {1617-1632},
3719 Title = {Overcoming stability limitations in biomolecular dynamics. I. Combining force splitting via extrapolation with Langevin dynamics in LN},
3720 Uri = {<Go to ISI>://000075066300006},
3721 Volume = 109,
3722 Year = 1998}
3723
3724 @article{Batcho2001,
3725 Abstract = {We present an analysis for a simple two-component harmonic oscillator
3726 that compares the use of position-Verlet to velocity-Verlet for
3727 multiple-time step integration. The numerical stability analysis
3728 based on the impulse-Verlet splitting shows that position-Verlet
3729 has enhanced stability, in terms of the largest allowable time step,
3730 for cases where an ample separation of time scales exists. Numerical
3731 investigations confirm the advantages of the position-Verlet scheme
3732 when used for the fastest time scales of the system. Applications
3733 to a biomolecule. a solvated protein, for both Newtonian and Langevin
3734 dynamics echo these trends over large outer time-step regimes. (C)
3735 2001 American Institute of Physics.},
3736 Annote = {469KV Times Cited:6 Cited References Count:30},
3737 Author = {P. F. Batcho and T. Schlick},
3738 Issn = {0021-9606},
3739 Journal = jcp,
3740 Month = {Sep 1},
3741 Number = 9,
3742 Pages = {4019-4029},
3743 Title = {Special stability advantages of position-Verlet over velocity-Verlet in multiple-time step integration},
3744 Uri = {<Go to ISI>://000170813800005},
3745 Volume = 115,
3746 Year = 2001}
3747
3748 @article{Bates2005,
3749 Abstract = {Inspired by recent claims that compounds composed of V-shaped molecules
3750 can exhibit the elusive biaxial nematic phase, we have developed
3751 a generic simulation model for such systems. This contains the features
3752 of the molecule that are essential to its liquid crystal behavior,
3753 namely the anisotropies of the two arms and the angle between them.
3754 The behavior of the model has been investigated using Monte Carlo
3755 simulations for a wide range of these structural parameters. This
3756 allows us to establish the relationship between the V-shaped molecule
3757 and its ability to form a biaxial nematic phase. Of particular importance
3758 are the criteria of geometry and the relative anisotropy necessary
3759 for the system to exhibit a Landau point, at which the biaxial nematic
3760 is formed directly from the isotropic phase. The simulations have
3761 also been used to determine the orientational order parameters for
3762 a selection of molecular axes. These are especially important because
3763 they reveal the phase symmetry and are connected to the experimental
3764 determination of this. The simulation results show that, whereas
3765 some positions are extremely sensitive to the phase biaxiality,
3766 others are totally blind to this.},
3767 Annote = {Part 1 988LQ Times Cited:0 Cited References Count:38},
3768 Author = {M. A. Bates and G. R. Luckhurst},
3769 Issn = {1539-3755},
3770 Journal = {Physical Review E},
3771 Month = {Nov},
3772 Number = 5,
3773 Pages = {-},
3774 Title = {Biaxial nematic phases and V-shaped molecules: A Monte Carlo simulation study},
3775 Uri = {<Go to ISI>://000233603100030},
3776 Volume = 72,
3777 Year = 2005}
3778
3779 @article{Beard2003,
3780 Abstract = {We introduce an unbiased protocol for performing rotational moves
3781 in rigid-body dynamics simulations. This approach - based on the
3782 analytic solution for the rotational equations of motion for an
3783 orthogonal coordinate system at constant angular velocity - removes
3784 deficiencies that have been largely ignored in Brownian dynamics
3785 simulations, namely errors for finite rotations that result from
3786 applying the noncommuting rotational matrices in an arbitrary order.
3787 Our algorithm should thus replace standard approaches to rotate
3788 local coordinate frames in Langevin and Brownian dynamics simulations.},
3789 Annote = {736UA Times Cited:0 Cited References Count:11},
3790 Author = {D. A. Beard and T. Schlick},
3791 Issn = {0006-3495},
3792 Journal = bj,
3793 Month = {Nov 1},
3794 Number = 5,
3795 Pages = {2973-2976},
3796 Title = {Unbiased rotational moves for rigid-body dynamics},
3797 Uri = {<Go to ISI>://000186190500018},
3798 Volume = 85,
3799 Year = 2003}
3800
3801 @article{Beloborodov1998,
3802 Abstract = {Using the Green function of arbitrary rigid Brownian diffusion (Goldstein,
3803 Biopolymers 33, 409-436, 1993), it was analytically shown that coupling
3804 between translation and rotation diffusion degrees of freedom does
3805 not affect the correlation functions relevant to the NMR intramolecular
3806 relaxation. It follows that spectral densities usually used for
3807 the anisotropic rotation diffusion (Woessner, J. Chem. Phys. 37,
3808 647-654, 1962) can be regarded as exact in respect to the rotation-translation
3809 coupling for the spin system connected with a rigid body. (C) 1998
3810 Academic Press.},
3811 Annote = {Zu605 Times Cited:2 Cited References Count:6},
3812 Author = {I. S. Beloborodov and V. Y. Orekhov and A. S. Arseniev},
3813 Issn = {1090-7807},
3814 Journal = {Journal of Magnetic Resonance},
3815 Month = {Jun},
3816 Number = 2,
3817 Pages = {328-329},
3818 Title = {Effect of coupling between rotational and translational Brownian motions on NMR spin relaxation: Consideration using green function of rigid body diffusion},
3819 Uri = {<Go to ISI>://000074214800017},
3820 Volume = 132,
3821 Year = 1998}
3822
3823 @article{Berardi1996,
3824 Abstract = {We demonstrate that the overall molecular dipole organization in a
3825 smectic liquid crystal formed of polar molecules can be strongly
3826 influenced by the position of the dipole in the molecule. We study
3827 by large scale Monte Carlo simulations systems of attractive-repulsive
3828 ''Gay-Berne'' elongated ellipsoids with an axial dipole at the center
3829 or near the end of the molecule and we show that monolayer smectic
3830 liquid crystals and modulated antiferroelectric bilayer stripe domains
3831 similar to the experimentally observed ''antiphase'' structures
3832 are obtained in the two cases.},
3833 Annote = {Vn637 Times Cited:49 Cited References Count:26},
3834 Author = {R. Berardi and S. Orlandi and C. Zannoni},
3835 Issn = {0009-2614},
3836 Journal = {Chemical Physics Letters},
3837 Month = {Oct 18},
3838 Number = 3,
3839 Pages = {357-362},
3840 Title = {Antiphase structures in polar smectic liquid crystals and their molecular origin},
3841 Uri = {<Go to ISI>://A1996VN63700023},
3842 Volume = 261,
3843 Year = 1996}
3844
3845 @article{Berkov2005,
3846 Abstract = {In this paper a detailed numerical study (in frames of the Slonczewski
3847 formalism) of magnetization oscillations driven by a spin-polarized
3848 current through a thin elliptical nanoelement is presented. We show
3849 that a sophisticated micromagnetic model, where a polycrystalline
3850 structure of a nanoelement is taken into account, can explain qualitatively
3851 all most important features of the magnetization oscillation spectra
3852 recently observed experimentally [S. I. Kiselev , Nature 425, 380
3853 (2003)], namely, existence of several equidistant spectral bands,
3854 sharp onset and abrupt disappearance of magnetization oscillations
3855 with increasing current, absence of the out-of-plane regime predicted
3856 by a macrospin model, and the relation between frequencies of so-called
3857 small-angle and quasichaotic oscillations. However, a quantitative
3858 agreement with experimental results (especially concerning the frequency
3859 of quasichaotic oscillations) could not be achieved in the region
3860 of reasonable parameter values, indicating that further model refinement
3861 is necessary for a complete understanding of the spin-driven magnetization
3862 precession even in this relatively simple experimental situation.},
3863 Annote = {969IT Times Cited:2 Cited References Count:55},
3864 Author = {D. V. Berkov and N. L. Gorn},
3865 Issn = {1098-0121},
3866 Journal = {Physical Review B},
3867 Month = {Sep},
3868 Number = 9,
3869 Pages = {-},
3870 Title = {Magnetization precession due to a spin-polarized current in a thin nanoelement: Numerical simulation study},
3871 Uri = {<Go to ISI>://000232228500058},
3872 Volume = 72,
3873 Year = 2005}
3874
3875 @article{Berkov2005a,
3876 Abstract = {Numerical simulations of fast remagnetization processes using stochastic
3877 dynamics are widely used to study various magnetic systems. In this
3878 paper, we first address several crucial methodological problems
3879 of such simulations: (i) the influence of finite-element discretization
3880 on simulated dynamics, (ii) choice between Ito and Stratonovich
3881 stochastic calculi by the solution of micromagnetic stochastic equations
3882 of motion and (iii) non-trivial correlation properties of the random
3883 (thermal) field. Next, we discuss several examples to demonstrate
3884 the great potential of the Langevin dynamics for studying fast remagnetization
3885 processes in technically relevant applications: we present numerical
3886 analysis of equilibrium magnon spectra in patterned structures,
3887 study thermal noise effects on the magnetization dynamics of nanoelements
3888 in pulsed fields and show some results for a remagnetization dynamics
3889 induced by a spin-polarized current. (c) 2004 Elsevier B.V. All
3890 rights reserved.},
3891 Annote = {Part 1 Sp. Iss. SI 922KU Times Cited:2 Cited References Count:25},
3892 Author = {D. V. Berkov and N. L. Gorn},
3893 Issn = {0304-8853},
3894 Journal = {Journal of Magnetism and Magnetic Materials},
3895 Month = {Apr},
3896 Pages = {442-448},
3897 Title = {Stochastic dynamic simulations of fast remagnetization processes: recent advances and applications},
3898 Uri = {<Go to ISI>://000228837600109},
3899 Volume = 290,
3900 Year = 2005}
3901
3902 @article{Berkov2002,
3903 Abstract = {We report on recent progress achieved by the development of numerical
3904 methods based on the stochastic (Langevin) dynamics applied to systems
3905 of interacting magnetic nanoparticles. The method enables direct
3906 simulations of the trajectories of magnetic moments taking into
3907 account (i) all relevant interactions, (ii) precession dynamics,
3908 and (iii) temperature fluctuations included via the random (thermal)
3909 field. We present several novel results obtained using new methods
3910 developed for the solution of the Langevin equations. In particular,
3911 we have investigated magnetic nanodots and disordered granular systems
3912 of single-domain magnetic particles. For the first case we have
3913 calculated the spectrum and the spatial distribution of spin excitations.
3914 For the second system the complex ac susceptibility chi(omega, T)
3915 for various particle concentrations and particle anisotropies were
3916 computed and compared with numerous experimental results.},
3917 Annote = {526TF Times Cited:4 Cited References Count:37},
3918 Author = {D. V. Berkov and N. L. Gorn and P. Gornert},
3919 Issn = {0031-8965},
3920 Journal = {Physica Status Solidi a-Applied Research},
3921 Month = {Feb 16},
3922 Number = 2,
3923 Pages = {409-421},
3924 Title = {Magnetization dynamics in nanoparticle systems: Numerical simulation using Langevin dynamics},
3925 Uri = {<Go to ISI>://000174145200026},
3926 Volume = 189,
3927 Year = 2002}
3928
3929 @article{Bernal1980,
3930 Author = {J.M. Bernal and {Garc\'{i}a de la Torre}, Jose},
3931 Journal = {Biopolymers},
3932 Pages = {751-766},
3933 Title = {Transport Properties and Hydrodynamic Centers of Rigid Macromolecules with Arbitrary Shape},
3934 Volume = 19,
3935 Year = 1980}
3936
3937 @article{Brenner1967,
3938 Author = {H. Brenner},
3939 Journal = {J. Collid. Int. Sci.},
3940 Pages = {407-436},
3941 Title = {Coupling between the Translational and Rotational Brownian Motions of Rigid Particles of Arbitrary shape},
3942 Volume = 23,
3943 Year = 1967}
3944
3945 @article{Brooks1983,
3946 Annote = {Qp423 Times Cited:6414 Cited References Count:96},
3947 Author = {B. R. Brooks and R. E. Bruccoleri and B. D. Olafson and D. J. States and S. Swaminathan and M. Karplus},
3948 Issn = {0192-8651},
3949 Journal = jcc,
3950 Number = 2,
3951 Pages = {187-217},
3952 Title = {Charmm - a Program for Macromolecular Energy, Minimization, and Dynamics Calculations},
3953 Uri = {<Go to ISI>://A1983QP42300010},
3954 Volume = 4,
3955 Year = 1983}
3956
3957 @article{Brunger1984,
3958 Annote = {Sm173 Times Cited:143 Cited References Count:22},
3959 Author = {A. Brunger and C. L. Brooks and M. Karplus},
3960 Issn = {0009-2614},
3961 Journal = {Chemical Physics Letters},
3962 Number = 5,
3963 Pages = {495-500},
3964 Title = {Stochastic Boundary-Conditions for Molecular-Dynamics Simulations of St2 Water},
3965 Uri = {<Go to ISI>://A1984SM17300007},
3966 Volume = 105,
3967 Year = 1984}
3968
3969 @article{Budd1999,
3970 Abstract = {This paper examines a synthesis of adaptive mesh methods with the
3971 use of symmetry to study a partial differential equation. In particular,
3972 it considers methods which admit discrete self-similar solutions,
3973 examining the convergence of these to the true self-similar solution
3974 as well as their stability. Special attention is given to the nonlinear
3975 diffusion equation describing flow in a porous medium.},
3976 Annote = {199EE Times Cited:4 Cited References Count:14},
3977 Author = {C. J. Budd and G. J. Collins and W. Z. Huang and R. D. Russell},
3978 Issn = {1364-503X},
3979 Journal = {Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences},
3980 Month = {Apr 15},
3981 Number = 1754,
3982 Pages = {1047-1077},
3983 Title = {Self-similar numerical solutions of the porous-medium equation using moving mesh methods},
3984 Uri = {<Go to ISI>://000080466800005},
3985 Volume = 357,
3986 Year = 1999}
3987
3988 @article{Camp1999,
3989 Abstract = {Fluids of hard bent-core molecules have been studied using theory
3990 and computer simulation. The molecules are composed of two hard
3991 spherocylinders, with length-to-breadth ratio L/D, joined by their
3992 ends at an angle 180 degrees - gamma. For L/D = 2 and gamma = 0,10,20
3993 degrees, the simulations show isotropic, nematic, smectic, and solid
3994 phases. For L/D = 2 and gamma = 30 degrees, only isotropic, nematic,
3995 and solid phases are in evidence, which suggests that there is a
3996 nematic-smectic-solid triple point at an angle in the range 20 degrees
3997 < gamma < 30 degrees. In all of the orientationally ordered fluid
3998 phases the order is purely uniaxial. For gamma = 10 degrees and
3999 20 degrees, at the studied densities, the solid is also uniaxially
4000 ordered, whilst for gamma = 30 degrees the solid layers are biaxially
4001 ordered. For L/D = 2 and gamma = 60 degrees and 90 degrees we find
4002 no spontaneous orientational ordering. This is shown to be due to
4003 the interlocking of dimer pairs which precludes alignment. We find
4004 similar results for L/D = 9.5 and gamma = 72 degrees, where an isotropic-biaxial
4005 nematic transition is predicted by Onsager theory. Simulations in
4006 the biaxial nematic phase show it to be at least mechanically stable
4007 with respect to the isotropic phase, however. We have compared the
4008 quasi-exact simulation results in the isotropic phase with the predicted
4009 equations of state from three theories: the virial expansion containing
4010 the second and third virial coefficients; the Parsons-Lee equation
4011 of state; an application of Wertheim's theory of associating fluids
4012 in the limit of infinite attractive association energy. For all
4013 of the molecule elongations and geometries we have simulated, the
4014 Wertheim theory proved to be the most accurate. Interestingly, the
4015 isotropic equation of state is virtually independent of the dimer
4016 bond angle-a feature that is also reflected in the lack of variation
4017 with angle of the calculated second and third virial coefficients.
4018 (C) 1999 American Institute of Physics. [S0021-9606(99)50445-5].},
4019 Annote = {255TC Times Cited:24 Cited References Count:38},
4020 Author = {P. J. Camp and M. P. Allen and A. J. Masters},
4021 Issn = {0021-9606},
4022 Journal = jcp,
4023 Month = {Dec 1},
4024 Number = 21,
4025 Pages = {9871-9881},
4026 Title = {Theory and computer simulation of bent-core molecules},
4027 Uri = {<Go to ISI>://000083685400056},
4028 Volume = 111,
4029 Year = 1999}
4030
4031 @article{Care2005,
4032 Abstract = {A review is presented of molecular and mesoscopic computer simulations
4033 of liquid crystalline systems. Molecular simulation approaches applied
4034 to such systems are described, and the key findings for bulk phase
4035 behaviour are reported. Following this, recently developed lattice
4036 Boltzmann approaches to the mesoscale modelling of nemato-dynanics
4037 are reviewed. This paper concludes with a discussion of possible
4038 areas for future development in this field.},
4039 Annote = {989TU Times Cited:2 Cited References Count:258},
4040 Author = {C. M. Care and D. J. Cleaver},
4041 Issn = {0034-4885},
4042 Journal = {Reports on Progress in Physics},
4043 Month = {Nov},
4044 Number = 11,
4045 Pages = {2665-2700},
4046 Title = {Computer simulation of liquid crystals},
4047 Uri = {<Go to ISI>://000233697600004},
4048 Volume = 68,
4049 Year = 2005}
4050
4051 @article{Carrasco1999,
4052 Abstract = {The hydrodynamic properties of rigid particles are calculated from
4053 models composed of spherical elements (beads) using theories developed
4054 by Kirkwood, Bloomfield, and their coworkers. Bead models have usually
4055 been built in such a way that the beads fill the volume occupied
4056 by the particles. Sometimes the beads are few and of varying sizes
4057 (bead models in the strict sense), and other times there are many
4058 small beads (filling models). Because hydrodynamic friction takes
4059 place at the molecular surface, another possibility is to use shell
4060 models, as originally proposed by Bloomfield. In this work, we have
4061 developed procedures to build models of the various kinds, and we
4062 describe the theory and methods for calculating their hydrodynamic
4063 properties, including approximate methods that may be needed to
4064 treat models with a very large number of elements. By combining
4065 the various possibilities of model building and hydrodynamic calculation,
4066 several strategies can be designed. We have made a quantitative
4067 comparison of the performance of the various strategies by applying
4068 them to some test cases, for which the properties are known a priori.
4069 We provide guidelines and computational tools for bead modeling.},
4070 Annote = {200TT Times Cited:46 Cited References Count:57},
4071 Author = {B. Carrasco and {Garc\'{i}a de la Torre}, Jose},
4072 Issn = {0006-3495},
4073 Journal = bj,
4074 Month = {Jun},
4075 Number = 6,
4076 Pages = {3044-3057},
4077 Title = {Hydrodynamic properties of rigid particles: Comparison of different modeling and computational procedures},
4078 Uri = {<Go to ISI>://000080556700016},
4079 Volume = 76,
4080 Year = 1999}
4081
4082 @article{Chandra1999,
4083 Abstract = {Dynamical properties of the soft sticky dipole (SSD) model of water
4084 are calculated by means of molecular dynamics simulations. Since
4085 this is not a simple point model, the forces and torques arising
4086 from the SSD potential are derived here. Simulations are carried
4087 out in the microcanonical ensemble employing the Ewald method for
4088 the electrostatic interactions. Various time correlation functions
4089 and dynamical quantities associated with the translational and rotational
4090 motion of water molecules are evaluated and compared with those
4091 of two other commonly used models of liquid water, namely the transferable
4092 intermolecular potential-three points (TIP3P) and simple point charge/extended
4093 (SPC/E) models, and also with experiments. The dynamical properties
4094 of the SSD water model are found to be in good agreement with the
4095 experimental results and appear to be better than the TIP3P and
4096 SPC/E models in most cases, as has been previously shown for its
4097 thermodynamic, structural, and dielectric properties. Also, molecular
4098 dynamics simulations of the SSD model are found to run much faster
4099 than TIP3P, SPC/E, and other multisite models. (C) 1999 American
4100 Institute of Physics. [S0021-9606(99)51430-X].},
4101 Annote = {221EN Times Cited:14 Cited References Count:66},
4102 Author = {A. Chandra and T. Ichiye},
4103 Issn = {0021-9606},
4104 Journal = jcp,
4105 Month = {Aug 8},
4106 Number = 6,
4107 Pages = {2701-2709},
4108 Title = {Dynamical properties of the soft sticky dipole model of water: Molecular dynamics simulations},
4109 Uri = {<Go to ISI>://000081711200038},
4110 Volume = 111,
4111 Year = 1999}
4112
4113 @article{Channell1990,
4114 Annote = {Dk631 Times Cited:152 Cited References Count:34},
4115 Author = {P. J. Channell and C. Scovel},
4116 Issn = {0951-7715},
4117 Journal = {Nonlinearity},
4118 Month = {may},
4119 Number = 2,
4120 Pages = {231-259},
4121 Title = {Symplectic Integration of Hamiltonian-Systems},
4122 Uri = {<Go to ISI>://A1990DK63100001},
4123 Volume = 3,
4124 Year = 1990}
4125
4126 @article{Chen2003,
4127 Abstract = {We investigate the asymptotic behavior of systems of nonlinear differential
4128 equations and introduce a family of mixed methods from combinations
4129 of explicit Runge-Kutta methods. These methods have better stability
4130 behavior than traditional Runge-Kutta methods and generally extend
4131 the range of validity of the calculated solutions. These methods
4132 also give a way of determining if the numerical solutions are real
4133 or spurious. Emphasis is put on examples coming from mathematical
4134 models in ecology. (C) 2002 IMACS. Published by Elsevier Science
4135 B.V. All rights reserved.},
4136 Annote = {633ZD Times Cited:0 Cited References Count:9},
4137 Author = {B. Chen and F. Solis},
4138 Issn = {0168-9274},
4139 Journal = {Applied Numerical Mathematics},
4140 Month = {Jan},
4141 Number = {1-2},
4142 Pages = {21-30},
4143 Title = {Explicit mixed finite order Runge-Kutta methods},
4144 Uri = {<Go to ISI>://000180314200002},
4145 Volume = 44,
4146 Year = 2003}
4147
4148 @article{Cheung2004,
4149 Abstract = {Equilibrium molecular dynamics calculations have been performed for
4150 the liquid crystal molecule n-4-(trans-4-n-pentylcyclohexyl)benzonitrile
4151 (PCH5) using a fully atomistic model. Simulation data have been
4152 obtained for a series of temperatures in the nematic phase. The
4153 simulation data have been used to calculate the flexoelectric coefficients
4154 e(s) and e(b) using the linear response formalism of Osipov and
4155 Nemtsov [M. A. Osipov and V. B. Nemtsov, Sov. Phys. Crstallogr.
4156 31, 125 (1986)]. The temperature and order parameter dependence
4157 of e(s) and e(b) are examined, as are separate contributions from
4158 different intermolecular interactions. Values of e(s) and e(b) calculated
4159 from simulation are consistent with those found from experiment.
4160 (C) 2004 American Institute of Physics.},
4161 Annote = {866UM Times Cited:4 Cited References Count:61},
4162 Author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
4163 Issn = {0021-9606},
4164 Journal = jcp,
4165 Month = {Nov 8},
4166 Number = 18,
4167 Pages = {9131-9139},
4168 Title = {Calculation of flexoelectric coefficients for a nematic liquid crystal by atomistic simulation},
4169 Uri = {<Go to ISI>://000224798900053},
4170 Volume = 121,
4171 Year = 2004}
4172
4173 @article{Cheung2002,
4174 Abstract = {Equilibrium molecular dynamics calculations have been performed for
4175 the liquid crystal molecule n-4-(trans-4-npentylcyclohexyl)benzonitrile
4176 (PCH5) using a fully atomistic model. Simulation data has been obtained
4177 for a series of temperatures in the nematic phase. The rotational
4178 viscosity co-efficient gamma(1), has been calculated using the angular
4179 velocity correlation function of the nematic director, n, the mean
4180 squared diffusion of n and statistical mechanical methods based
4181 on the rotational diffusion co-efficient. We find good agreement
4182 between the first two methods and experimental values. (C) 2002
4183 Published by Elsevier Science B.V.},
4184 Annote = {547KF Times Cited:8 Cited References Count:31},
4185 Author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
4186 Issn = {0009-2614},
4187 Journal = {Chemical Physics Letters},
4188 Month = {Apr 15},
4189 Number = {1-2},
4190 Pages = {140-146},
4191 Title = {Calculation of the rotational viscosity of a nematic liquid crystal},
4192 Uri = {<Go to ISI>://000175331000020},
4193 Volume = 356,
4194 Year = 2002}
4195
4196 @article{Chin2004,
4197 Abstract = {Current molecular dynamics simulations of biomolecules using multiple
4198 time steps to update the slowly changing force are hampered by instabilities
4199 beginning at time steps near the half period of the fastest vibrating
4200 mode. These #resonance# instabilities have became a critical barrier
4201 preventing the long time simulation of biomolecular dynamics. Attempts
4202 to tame these instabilities by altering the slowly changing force
4203 and efforts to damp them out by Langevin dynamics do not address
4204 the fundamental cause of these instabilities. In this work, we trace
4205 the instability to the nonanalytic character of the underlying spectrum
4206 and show that a correct splitting of the Hamiltonian, which renders
4207 the spectrum analytic, restores stability. The resulting Hamiltonian
4208 dictates that in addition to updating the momentum due to the slowly
4209 changing force, one must also update the position with a modified
4210 mass. Thus multiple-time stepping must be done dynamically. (C)
4211 2004 American Institute of Physics.},
4212 Annote = {757TK Times Cited:1 Cited References Count:22},
4213 Author = {S. A. Chin},
4214 Issn = {0021-9606},
4215 Journal = jcp,
4216 Month = {Jan 1},
4217 Number = 1,
4218 Pages = {8-13},
4219 Title = {Dynamical multiple-time stepping methods for overcoming resonance instabilities},
4220 Uri = {<Go to ISI>://000187577400003},
4221 Volume = 120,
4222 Year = 2004}
4223
4224 @article{Cook2000,
4225 Abstract = {The Kirkwood correlation factor g(1) determines the preference for
4226 local parallel or antiparallel dipole association in the isotropic
4227 phase. Calamitic mesogens with longitudinal dipole moments and Kirkwood
4228 factors greater than 1 have an enhanced effective dipole moment
4229 along the molecular long axis. This leads to higher values of Delta
4230 epsilon in the nematic phase. This paper describes state-of-the-art
4231 molecular dynamics simulations of two calamitic mesogens 4-(trans-4-n-pentylcyclohexyl)benzonitrile
4232 (PCH5) and 4-(trans-4-n-pentylcyclohexyl) chlorobenzene (PCH5-Cl)
4233 in the isotropic liquid phase using an all-atom force field and
4234 taking long range electrostatics into account using an Ewald summation.
4235 Using this methodology, PCH5 is seen to prefer antiparallel dipole
4236 alignment with a negative g(1) and PCH5-Cl is seen to prefer parallel
4237 dipole alignment with a positive g(1); this is in accordance with
4238 experimental dielectric measurements. Analysis of the molecular
4239 dynamics trajectories allows an assessment of why these molecules
4240 behave differently.},
4241 Annote = {376BF Times Cited:10 Cited References Count:16},
4242 Author = {M. J. Cook and M. R. Wilson},
4243 Issn = {0267-8292},
4244 Journal = {Liquid Crystals},
4245 Month = {Dec},
4246 Number = 12,
4247 Pages = {1573-1583},
4248 Title = {Simulation studies of dipole correlation in the isotropic liquid phase},
4249 Uri = {<Go to ISI>://000165437800002},
4250 Volume = 27,
4251 Year = 2000}
4252
4253 @article{Cui2003,
4254 Abstract = {All-atom Langevin dynamics simulations have been performed to study
4255 the folding pathways of the 18-residue binding domain fragment E6ap
4256 of the human papillomavirus E6 interacting peptide. Six independent
4257 folding trajectories, with a total duration of nearly 2 mus, all
4258 lead to the same native state in which the E6ap adopts a fluctuating
4259 a-helix structure in the central portion (Ser-4-Leu-13) but with
4260 very flexible N and C termini. Simulations starting from different
4261 core configurations exhibit the E6ap folding dynamics as either
4262 a two- or three-state folder with an intermediate misfolded state.
4263 The essential leucine hydrophobic core (Leu-9, Leu-12, and Leu-13)
4264 is well conserved in the native-state structure but absent in the
4265 intermediate structure, suggesting that the leucine core is not
4266 only essential for the binding activity of E6ap but also important
4267 for the stability of the native structure. The free energy landscape
4268 reveals a significant barrier between the basins separating the
4269 native and misfolded states. We also discuss the various underlying
4270 forces that drive the peptide into its native state.},
4271 Annote = {689LC Times Cited:3 Cited References Count:48},
4272 Author = {B. X. Cui and M. Y. Shen and K. F. Freed},
4273 Issn = {0027-8424},
4274 Journal = pnas,
4275 Month = {Jun 10},
4276 Number = 12,
4277 Pages = {7087-7092},
4278 Title = {Folding and misfolding of the papillomavirus E6 interacting peptide E6ap},
4279 Uri = {<Go to ISI>://000183493500037},
4280 Volume = 100,
4281 Year = 2003}
4282
4283 @article{Denisov2003,
4284 Abstract = {We study the slow phase of thermally activated magnetic relaxation
4285 in finite two-dimensional ensembles of dipolar interacting ferromagnetic
4286 nanoparticles whose easy axes of magnetization are perpendicular
4287 to the distribution plane. We develop a method to numerically simulate
4288 the magnetic relaxation for the case that the smallest heights of
4289 the potential barriers between the equilibrium directions of the
4290 nanoparticle magnetic moments are much larger than the thermal energy.
4291 Within this framework, we analyze in detail the role that the correlations
4292 of the nanoparticle magnetic moments and the finite size of the
4293 nanoparticle ensemble play in magnetic relaxation.},
4294 Annote = {642XH Times Cited:11 Cited References Count:31},
4295 Author = {S. I. Denisov and T. V. Lyutyy and K. N. Trohidou},
4296 Issn = {1098-0121},
4297 Journal = {Physical Review B},
4298 Month = {Jan 1},
4299 Number = 1,
4300 Pages = {-},
4301 Title = {Magnetic relaxation in finite two-dimensional nanoparticle ensembles},
4302 Uri = {<Go to ISI>://000180830400056},
4303 Volume = 67,
4304 Year = 2003}
4305
4306 @article{Derreumaux1998,
4307 Abstract = {To explore the origin of the large-scale motion of triosephosphate
4308 isomerase's flexible loop (residues 166 to 176) at the active site,
4309 several simulation protocols are employed both for the free enzyme
4310 in vacuo and for the free enzyme with some solvent modeling: high-temperature
4311 Langevin dynamics simulations, sampling by a #dynamics##driver#
4312 approach, and potential-energy surface calculations. Our focus is
4313 on obtaining the energy barrier to the enzyme's motion and establishing
4314 the nature of the loop movement. Previous calculations did not determine
4315 this energy barrier and the effect of solvent on the barrier. High-temperature
4316 molecular dynamics simulations and crystallographic studies have
4317 suggested a rigid-body motion with two hinges located at both ends
4318 of the loop; Brownian dynamics simulations at room temperature pointed
4319 to a very flexible behavior. The present simulations and analyses
4320 reveal that although solute/solvent hydrogen bonds play a crucial
4321 role in lowering the energy along the pathway, there still remains
4322 a high activation barrier, This finding clearly indicates that,
4323 if the loop opens and closes in the absence of a substrate at standard
4324 conditions (e.g., room temperature, appropriate concentration of
4325 isomerase), the time scale for transition is not in the nanosecond
4326 but rather the microsecond range. Our results also indicate that
4327 in the context of spontaneous opening in the free enzyme, the motion
4328 is of rigid-body type and that the specific interaction between
4329 residues Ala(176) and Tyr(208) plays a crucial role in the loop
4330 opening/closing mechanism.},
4331 Annote = {Zl046 Times Cited:30 Cited References Count:29},
4332 Author = {P. Derreumaux and T. Schlick},
4333 Issn = {0006-3495},
4334 Journal = bj,
4335 Month = {Jan},
4336 Number = 1,
4337 Pages = {72-81},
4338 Title = {The loop opening/closing motion of the enzyme triosephosphate isomerase},
4339 Uri = {<Go to ISI>://000073393400009},
4340 Volume = 74,
4341 Year = 1998}
4342
4343 @article{Dullweber1997,
4344 Abstract = {Rigid body molecular models possess symplectic structure and time-reversal
4345 symmetry. Standard numerical integration methods destroy both properties,
4346 introducing nonphysical dynamical behavior such as numerically induced
4347 dissipative states and drift in the energy during long term simulations.
4348 This article describes the construction, implementation, and practical
4349 application of fast explicit symplectic-reversible integrators for
4350 multiple rigid body molecular simulations, These methods use a reduction
4351 to Euler equations for the free rigid body, together with a symplectic
4352 splitting technique. In every time step, the orientational dynamics
4353 of each rigid body is integrated by a sequence of planar rotations.
4354 Besides preserving the symplectic and reversible structures of the
4355 flow, this scheme accurately conserves the total angular momentum
4356 of a system of interacting rigid bodies. Excellent energy conservation
4357 fan be obtained relative to traditional methods, especially in long-time
4358 simulations. The method is implemented in a research code, ORIENT
4359 and compared with a quaternion/extrapolation scheme for the TIP4P
4360 model of water. Our experiments show that the symplectic-reversible
4361 scheme is far superior to the more traditional quaternion method.
4362 (C) 1997 American Institute of Physics.},
4363 Annote = {Ya587 Times Cited:35 Cited References Count:32},
4364 Author = {A. Dullweber and B. Leimkuhler and R. McLachlan},
4365 Issn = {0021-9606},
4366 Journal = jcp,
4367 Month = {Oct 15},
4368 Number = 15,
4369 Pages = {5840-5851},
4370 Title = {Symplectic splitting methods for rigid body molecular dynamics},
4371 Uri = {<Go to ISI>://A1997YA58700024},
4372 Volume = 107,
4373 Year = 1997}
4374
4375 @book{Gamma1994,
4376 Address = {London},
4377 Author = {E. Gamma, R. Helm, R. Johnson and J. Vlissides},
4378 Chapter = 7,
4379 Publisher = {Perason Education},
4380 Title = {Design Patterns: Elements of Reusable Object-Oriented Software},
4381 Year = 1994}
4382
4383 @article{Edwards2005,
4384 Abstract = {Using the Langevin dynamics technique, we have carried out simulations
4385 of a single-chain flexible diblock copolymer. The polymer consists
4386 of two blocks of equal length, one very poorly solvated and the
4387 other close to theta-conditions. We study what happens when such
4388 a polymer is stretched, for a range of different stretching speeds,
4389 and correlate our observations with features in the plot of force
4390 vs extension. We find that at slow speeds this force profile does
4391 not increase monotonically, in disagreement with earlier predictions,
4392 and that at high speeds there is a strong dependence on which end
4393 of the polymer is pulled, as well as a high level of hysteresis.},
4394 Annote = {992EC Times Cited:0 Cited References Count:13},
4395 Author = {S. A. Edwards and D. R. M. Williams},
4396 Issn = {0024-9297},
4397 Journal = {Macromolecules},
4398 Month = {Dec 13},
4399 Number = 25,
4400 Pages = {10590-10595},
4401 Title = {Stretching a single diblock copolymer in a selective solvent: Langevin dynamics simulations},
4402 Uri = {<Go to ISI>://000233866200035},
4403 Volume = 38,
4404 Year = 2005}
4405
4406 @article{Egberts1988,
4407 Annote = {Q0188 Times Cited:219 Cited References Count:43},
4408 Author = {E. Egberts and H. J. C. Berendsen},
4409 Issn = {0021-9606},
4410 Journal = jcp,
4411 Month = {Sep 15},
4412 Number = 6,
4413 Pages = {3718-3732},
4414 Title = {Molecular-Dynamics Simulation of a Smectic Liquid-Crystal with Atomic Detail},
4415 Uri = {<Go to ISI>://A1988Q018800036},
4416 Volume = 89,
4417 Year = 1988}
4418
4419 @article{Ermak1978,
4420 Annote = {Fp216 Times Cited:785 Cited References Count:42},
4421 Author = {D. L. Ermak and J. A. Mccammon},
4422 Issn = {0021-9606},
4423 Journal = jcp,
4424 Number = 4,
4425 Pages = {1352-1360},
4426 Title = {Brownian Dynamics with Hydrodynamic Interactions},
4427 Uri = {<Go to ISI>://A1978FP21600004},
4428 Volume = 69,
4429 Year = 1978}
4430
4431 @article{Evans1977,
4432 Annote = {Ds757 Times Cited:271 Cited References Count:18},
4433 Author = {D. J. Evans},
4434 Issn = {0026-8976},
4435 Journal = mp,
4436 Number = 2,
4437 Pages = {317-325},
4438 Title = {Representation of Orientation Space},
4439 Uri = {<Go to ISI>://A1977DS75700002},
4440 Volume = 34,
4441 Year = 1977}
4442
4443 @article{Fennell2004,
4444 Abstract = {The density maximum and temperature dependence of the self-diffusion
4445 constant were investigated for the soft sticky dipole (SSD) water
4446 model and two related reparametrizations of this single-point model.
4447 A combination of microcanonical and isobaric-isothermal molecular
4448 dynamics simulations was used to calculate these properties, both
4449 with and without the use of reaction field to handle long-range
4450 electrostatics. The isobaric-isothermal simulations of the melting
4451 of both ice-I-h and ice-I-c showed a density maximum near 260 K.
4452 In most cases, the use of the reaction field resulted in calculated
4453 densities which were significantly lower than experimental densities.
4454 Analysis of self-diffusion constants shows that the original SSD
4455 model captures the transport properties of experimental water very
4456 well in both the normal and supercooled liquid regimes. We also
4457 present our reparametrized versions of SSD for use both with the
4458 reaction field or without any long-range electrostatic corrections.
4459 These are called the SSD/RF and SSD/E models, respectively. These
4460 modified models were shown to maintain or improve upon the experimental
4461 agreement with the structural and transport properties that can
4462 be obtained with either the original SSD or the density-corrected
4463 version of the original model (SSD1). Additionally, a novel low-density
4464 ice structure is presented which appears to be the most stable ice
4465 structure for the entire SSD family. (C) 2004 American Institute
4466 of Physics.},
4467 Annote = {816YY Times Cited:5 Cited References Count:39},
4468 Author = {C. J. Fennell and J. D. Gezelter},
4469 Issn = {0021-9606},
4470 Journal = jcp,
4471 Month = {May 15},
4472 Number = 19,
4473 Pages = {9175-9184},
4474 Title = {On the structural and transport properties of the soft sticky dipole and related single-point water models},
4475 Uri = {<Go to ISI>://000221146400032},
4476 Volume = 120,
4477 Year = 2004}
4478
4479 @article{Fernandes2002,
4480 Abstract = {We have developed a Brownian dynamics simulation algorithm to generate
4481 Brownian trajectories of an isolated, rigid particle of arbitrary
4482 shape in the presence of electric fields or any other external agents.
4483 Starting from the generalized diffusion tensor, which can be calculated
4484 with the existing HYDRO software, the new program BROWNRIG (including
4485 a case-specific subprogram for the external agent) carries out a
4486 simulation that is analyzed later to extract the observable dynamic
4487 properties. We provide a variety of examples of utilization of this
4488 method, which serve as tests of its performance, and also illustrate
4489 its applicability. Examples include free diffusion, transport in
4490 an electric field, and diffusion in a restricting environment.},
4491 Annote = {633AD Times Cited:2 Cited References Count:43},
4492 Author = {M. X. Fernandes and {Garc\'{i}a de la Torre}, Jose},
4493 Issn = {0006-3495},
4494 Journal = bj,
4495 Month = {Dec},
4496 Number = 6,
4497 Pages = {3039-3048},
4498 Title = {Brownian dynamics simulation of rigid particles of arbitrary shape in external fields},
4499 Uri = {<Go to ISI>://000180256300012},
4500 Volume = 83,
4501 Year = 2002}
4502
4503 @book{Frenkel1996,
4504 Address = {New York},
4505 Author = {D. Frenkel and B. Smit},
4506 Publisher = {Academic Press},
4507 Title = {Understanding Molecular Simulation : From Algorithms to Applications},
4508 Year = 1996}
4509
4510 @article{Gay1981,
4511 Annote = {Lj347 Times Cited:482 Cited References Count:13},
4512 Author = {J. G. Gay and B. J. Berne},
4513 Issn = {0021-9606},
4514 Journal = jcp,
4515 Number = 6,
4516 Pages = {3316-3319},
4517 Title = {Modification of the Overlap Potential to Mimic a Linear Site-Site Potential},
4518 Uri = {<Go to ISI>://A1981LJ34700029},
4519 Volume = 74,
4520 Year = 1981}
4521
4522 @article{Gelin1999,
4523 Abstract = {To investigate the influence of inertial effects on the dynamics of
4524 an assembly of beads subjected to rigid constraints and placed in
4525 a buffer medium, a convenient method to introduce suitable generalized
4526 coordinates is presented. Without any restriction on the nature
4527 of the soft forces involved (both stochastic and deterministic),
4528 pertinent Langevin equations are derived. Provided that the Brownian
4529 forces are Gaussian and Markovian, the corresponding Fokker-Planck
4530 equation (FPE) is obtained in the complete phase space of generalized
4531 coordinates and momenta. The correct short time behavior for correlation
4532 functions (CFs) of generalized coordinates is established, and the
4533 diffusion equation with memory (DEM) is deduced from the FPE in
4534 the high friction Limit. The DEM is invoked to perform illustrative
4535 calculations in two dimensions of the orientational CFs for once
4536 broken nonrigid rods immobilized on a surface. These calculations
4537 reveal that the CFs under certain conditions exhibit an oscillatory
4538 behavior, which is irreproducible within the standard diffusion
4539 equation. Several methods are considered for the approximate solution
4540 of the DEM, and their application to three dimensional DEMs is discussed.},
4541 Annote = {257MM Times Cited:2 Cited References Count:82},
4542 Author = {M. F. Gelin},
4543 Issn = {1022-1344},
4544 Journal = {Macromolecular Theory and Simulations},
4545 Month = {Nov},
4546 Number = 6,
4547 Pages = {529-543},
4548 Title = {Inertial effects in the Brownian dynamics with rigid constraints},
4549 Uri = {<Go to ISI>://000083785700002},
4550 Volume = 8,
4551 Year = 1999}
4552
4553 @article{Goetz1998,
4554 Author = {R. Goetz and R. Lipowsky},
4555 Journal = jcp,
4556 Number = 17,
4557 Pages = 7397,
4558 Title = {Computer simulations of bilayer membranes: Self-assembly and interfacial tension},
4559 Volume = 108,
4560 Year = 1998}
4561
4562 @book{Goldstein2001,
4563 Address = {San Francisco},
4564 Author = {H. Goldstein and C. Poole and J. Safko},
4565 Edition = {3rd},
4566 Publisher = {Addison Wesley},
4567 Title = {Classical Mechanics},
4568 Year = 2001}
4569
4570 @article{Gray2003,
4571 Abstract = {Protein-protein docking algorithms provide a means to elucidate structural
4572 details for presently unknown complexes. Here, we present and evaluate
4573 a new method to predict protein-protein complexes from the coordinates
4574 of the unbound monomer components. The method employs a low-resolution,
4575 rigid-body, Monte Carlo search followed by simultaneous optimization
4576 of backbone displacement and side-chain conformations using Monte
4577 Carlo minimization. Up to 10(5) independent simulations are carried
4578 out, and the resulting #decoys# are ranked using an energy function
4579 dominated by van der Waals interactions, an implicit solvation model,
4580 and an orientation-dependent hydrogen bonding potential. Top-ranking
4581 decoys are clustered to select the final predictions. Small-perturbation
4582 studies reveal the formation of binding funnels in 42 of 54 cases
4583 using coordinates derived from the bound complexes and in 32 of
4584 54 cases using independently determined coordinates of one or both
4585 monomers. Experimental binding affinities correlate with the calculated
4586 score function and explain the predictive success or failure of
4587 many targets. Global searches using one or both unbound components
4588 predict at least 25% of the native residue-residue contacts in 28
4589 of the 32 cases where binding funnels exist. The results suggest
4590 that the method may soon be useful for generating models of biologically
4591 important complexes from the structures of the isolated components,
4592 but they also highlight the challenges that must be met to achieve
4593 consistent and accurate prediction of protein-protein interactions.
4594 (C) 2003 Elsevier Ltd. All rights reserved.},
4595 Annote = {704QL Times Cited:48 Cited References Count:60},
4596 Author = {J. J. Gray and S. Moughon and C. Wang and O. Schueler-Furman and B. Kuhlman and C. A. Rohl and D. Baker},
4597 Issn = {0022-2836},
4598 Journal = jmb,
4599 Month = {Aug 1},
4600 Number = 1,
4601 Pages = {281-299},
4602 Title = {Protein-protein docking with simultaneous optimization of rigid-body displacement and side-chain conformations},
4603 Uri = {<Go to ISI>://000184351300022},
4604 Volume = 331,
4605 Year = 2003}
4606
4607 @article{Greengard1994,
4608 Abstract = {Some of the recently developed fast summation methods that have arisen
4609 in scientific computing are described. These methods require an
4610 amount of work proportional to N or N log N to evaluate all pairwise
4611 interactions in an ensemble of N particles. Traditional methods,
4612 by contrast, require an amount of work proportional to N-2. AS a
4613 result, large-scale simulations can be carried out using only modest
4614 computer resources. In combination with supercomputers, it is possible
4615 to address questions that were previously out of reach. Problems
4616 from diffusion, gravitation, and wave propagation are considered.},
4617 Annote = {Pb499 Times Cited:99 Cited References Count:44},
4618 Author = {L. Greengard},
4619 Issn = {0036-8075},
4620 Journal = {Science},
4621 Month = {Aug 12},
4622 Number = 5174,
4623 Pages = {909-914},
4624 Title = {Fast Algorithms for Classical Physics},
4625 Uri = {<Go to ISI>://A1994PB49900031},
4626 Volume = 265,
4627 Year = 1994}
4628
4629 @article{Greengard1987,
4630 Annote = {L0498 Times Cited:899 Cited References Count:7},
4631 Author = {L. Greengard and V. Rokhlin},
4632 Issn = {0021-9991},
4633 Journal = jcop,
4634 Month = {Dec},
4635 Number = 2,
4636 Pages = {325-348},
4637 Title = {A Fast Algorithm for Particle Simulations},
4638 Uri = {<Go to ISI>://A1987L049800006},
4639 Volume = 73,
4640 Year = 1987}
4641
4642 @article{Hairer1997,
4643 Abstract = {Backward error analysis is a useful tool for the study of numerical
4644 approximations to ordinary differential equations. The numerical
4645 solution is formally interpreted as the exact solution of a perturbed
4646 differential equation, given as a formal and usually divergent series
4647 in powers of the step size. For a rigorous analysis, this series
4648 has to be truncated. In this article we study the influence of this
4649 truncation to the difference between the numerical solution and
4650 the exact solution of the perturbed differential equation. Results
4651 on the long-time behaviour of numerical solutions are obtained in
4652 this way. We present applications to the numerical phase portrait
4653 near hyperbolic equilibrium points, to asymptotically stable periodic
4654 orbits and Hopf bifurcation, and to energy conservation and approximation
4655 of invariant tori in Hamiltonian systems.},
4656 Annote = {Xj488 Times Cited:50 Cited References Count:19},
4657 Author = {E. Hairer and C. Lubich},
4658 Issn = {0029-599X},
4659 Journal = {Numerische Mathematik},
4660 Month = {Jun},
4661 Number = 4,
4662 Pages = {441-462},
4663 Title = {The life-span of backward error analysis for numerical integrators},
4664 Uri = {<Go to ISI>://A1997XJ48800002},
4665 Volume = 76,
4666 Year = 1997}
4667
4668 @article{Hao1993,
4669 Abstract = {A new procedure for studying the folding and unfolding of proteins,
4670 with an application to bovine pancreatic trypsin inhibitor (BPTI),
4671 is reported. The unfolding and refolding of the native structure
4672 of the protein are characterized by the dimensions of the protein,
4673 expressed in terms of the three principal radii of the structure
4674 considered as an ellipsoid. A dynamic equation, describing the variations
4675 of the principal radii on the unfolding path, and a numerical procedure
4676 to solve this equation are proposed. Expanded and distorted conformations
4677 are refolded to the native structure by a dimensional-constraint
4678 energy minimization procedure. A unique and reproducible unfolding
4679 pathway for an intermediate of BPTI lacking the [30,51] disulfide
4680 bond is obtained. The resulting unfolded conformations are extended;
4681 they contain near-native local structure, but their longest principal
4682 radii are more than 2.5 times greater than that of the native structure.
4683 The most interesting finding is that the majority of expanded conformations,
4684 generated under various conditions, can be refolded closely to the
4685 native structure, as measured by the correct overall chain fold,
4686 by the rms deviations from the native structure of only 1.9-3.1
4687 angstrom, and by the energy differences of about 10 kcal/mol from
4688 the native structure. Introduction of the [30,51] disulfide bond
4689 at this stage, followed by minimization, improves the closeness
4690 of the refolded structures to the native structure, reducing the
4691 rms deviations to 0.9-2.0 angstrom. The unique refolding of these
4692 expanded structures over such a large conformational space implies
4693 that the folding is strongly dictated by the interactions in the
4694 amino acid sequence of BPTI. The simulations indicate that, under
4695 conditions that favor a compact structure as mimicked by the volume
4696 constraints in our algorithm; the expanded conformations have a
4697 strong tendency to move toward the native structure; therefore,
4698 they probably would be favorable folding intermediates. The results
4699 presented here support a general model for protein folding, i.e.,
4700 progressive formation of partially folded structural units, followed
4701 by collapse to the compact native structure. The general applicability
4702 of the procedure is also discussed.},
4703 Annote = {Ly294 Times Cited:27 Cited References Count:57},
4704 Author = {M. H. Hao and M. R. Pincus and S. Rackovsky and H. A. Scheraga},
4705 Issn = {0006-2960},
4706 Journal = {Biochemistry},
4707 Month = {Sep 21},
4708 Number = 37,
4709 Pages = {9614-9631},
4710 Title = {Unfolding and Refolding of the Native Structure of Bovine Pancreatic Trypsin-Inhibitor Studied by Computer-Simulations},
4711 Uri = {<Go to ISI>://A1993LY29400014},
4712 Volume = 32,
4713 Year = 1993}
4714
4715 @article{Hinsen2000,
4716 Abstract = {The slow dynamics of proteins around its native folded state is usually
4717 described by diffusion in a strongly anharmonic potential. In this
4718 paper, we try to understand the form and origin of the anharmonicities,
4719 with the principal aim of gaining a better understanding of the
4720 principal motion types, but also in order to develop more efficient
4721 numerical methods for simulating neutron scattering spectra of large
4722 proteins. First, we decompose a molecular dynamics (MD) trajectory
4723 of 1.5 ns for a C-phycocyanin dimer surrounded by a layer of water
4724 into three contributions that we expect to be independent: the global
4725 motion of the residues, the rigid-body motion of the sidechains
4726 relative to the backbone, and the internal deformations of the sidechains.
4727 We show that they are indeed almost independent by verifying the
4728 factorization of the incoherent intermediate scattering function.
4729 Then, we show that the global residue motions, which include all
4730 large-scale backbone motions, can be reproduced by a simple harmonic
4731 model which contains two contributions: a short-time vibrational
4732 term, described by a standard normal mode calculation in a local
4733 minimum, and a long-time diffusive term, described by Brownian motion
4734 in an effective harmonic potential. The potential and the friction
4735 constants were fitted to the MD data. The major anharmonic contribution
4736 to the incoherent intermediate scattering function comes from the
4737 rigid-body diffusion of the sidechains. This model can be used to
4738 calculate scattering functions for large proteins and for long-time
4739 scales very efficiently, and thus provides a useful complement to
4740 MD simulations, which are best suited for detailed studies on smaller
4741 systems or for shorter time scales. (C) 2000 Elsevier Science B.V.
4742 All rights reserved.},
4743 Annote = {Sp. Iss. SI 368MT Times Cited:16 Cited References Count:31},
4744 Author = {K. Hinsen and A. J. Petrescu and S. Dellerue and M. C. Bellissent-Funel and G. R. Kneller},
4745 Issn = {0301-0104},
4746 Journal = {Chemical Physics},
4747 Month = {Nov 1},
4748 Number = {1-2},
4749 Pages = {25-37},
4750 Title = {Harmonicity in slow protein dynamics},
4751 Uri = {<Go to ISI>://000090121700003},
4752 Volume = 261,
4753 Year = 2000}
4754
4755 @article{Ho1992,
4756 Abstract = {Evidence has been found for the existence water at the protein-lipid
4757 hydrophobic interface ot the membrane proteins, gramicidin and apocytochrome
4758 C, using two related fluorescence spectroscopic approaches. The
4759 first approach exploited the fact that the presence of water in
4760 the excited state solvent cage of a fluorophore increases the rate
4761 of decay. For 1,6-diphenyl-1,3,5-hexatriene (DPH) and 1-palmitoyl-2-[[2-[4-(6-phenyl-trans-1,3,5-hexatrienyl)
4762 phenyl]ethyl]carbonyl]-3-sn-PC (DPH-PC), where the fluorophores
4763 are located in the hydrophobic core of the lipid bilayer, the introduction
4764 of gramicidin reduced the fluorescence lifetime, indicative of an
4765 increased presence of water in the bilayer. Since a high protein:lipid
4766 ratio was used, the fluorophores were forced to be adjacent to the
4767 protein hydrophobic surface, hence the presence of water in this
4768 region could be inferred. Cholesterol is known to reduce the water
4769 content of lipid bilayers and this effect was maintained at the
4770 protein-lipid interface with both gramicidin and apocytochrome C,
4771 again suggesting hydration in this region. The second approach was
4772 to use the fluorescence enhancement induced by exchanging deuterium
4773 oxide (D2O) for H2O. Both the fluorescence intensities of trimethylammonium-DPH,
4774 located in the lipid head group region, and of the gramicidin intrinsic
4775 tryptophans were greater in a D2O buffer compared with H2O, showing
4776 that the fluorophores were exposed to water in the bilayer at the
4777 protein-lipid interface. In the presence of cholesterol the fluorescence
4778 intensity ratio of D2O to H2O decreased, indicating a removal of
4779 water by the cholesterol, in keeping with the lifetime data. Altered
4780 hydration at the protein-lipid interface could affect conformation,
4781 thereby offering a new route by which membrane protein functioning
4782 may be modified.},
4783 Annote = {Ju251 Times Cited:55 Cited References Count:44},
4784 Author = {C. Ho and C. D. Stubbs},
4785 Issn = {0006-3495},
4786 Journal = bj,
4787 Month = {Oct},
4788 Number = 4,
4789 Pages = {897-902},
4790 Title = {Hydration at the Membrane Protein-Lipid Interface},
4791 Uri = {<Go to ISI>://A1992JU25100002},
4792 Volume = 63,
4793 Year = 1992}
4794
4795 @book{Hockney1981,
4796 Address = {New York},
4797 Author = {R.W. Hockney and J.W. Eastwood},
4798 Publisher = {McGraw-Hill},
4799 Title = {Computer Simulation Using Particles},
4800 Year = 1981}
4801
4802 @article{Hoover1985,
4803 Annote = {Acr30 Times Cited:1809 Cited References Count:11},
4804 Author = {W. G. Hoover},
4805 Issn = {1050-2947},
4806 Journal = {Physical Review A},
4807 Number = 3,
4808 Pages = {1695-1697},
4809 Title = {Canonical Dynamics - Equilibrium Phase-Space Distributions},
4810 Uri = {<Go to ISI>://A1985ACR3000056},
4811 Volume = 31,
4812 Year = 1985}
4813
4814 @article{Huh2004,
4815 Abstract = {Racemic fluids of chiral calamitic molecules are investigated with
4816 molecular dynamics simulations. In particular, the phase behavior
4817 as a function of density is examined for eight racemates. The relationship
4818 between chiral discrimination and orientational order in the phase
4819 is explored. We find that the transition from the isotropic phase
4820 to a liquid crystal phase is accompanied by an increase in chiral
4821 discrimination, as measured by differences in radial distributions.
4822 Among ordered phases, discrimination is largest for smectic phases
4823 with a significant preference for heterochiral contact within the
4824 layers. (C) 2004 American Institute of Physics.},
4825 Annote = {870FJ Times Cited:0 Cited References Count:63},
4826 Author = {Y. Huh and N. M. Cann},
4827 Issn = {0021-9606},
4828 Journal = jcp,
4829 Month = {Nov 22},
4830 Number = 20,
4831 Pages = {10299-10308},
4832 Title = {Discrimination in isotropic, nematic, and smectic phases of chiral calamitic molecules: A computer simulation study},
4833 Uri = {<Go to ISI>://000225042700059},
4834 Volume = 121,
4835 Year = 2004}
4836
4837 @article{Humphrey1996,
4838 Abstract = {VMD is a molecular graphics program designed for the display and analysis
4839 of molecular assemblies, in particular biopolymers such as proteins
4840 and nucleic acids. VMD can simultaneously display any number of
4841 structures using a wide variety of rendering styles and coloring
4842 methods. Molecules are displayed as one or more ''representations,''
4843 in which each representation embodies a particular rendering method
4844 and coloring scheme for a selected subset of atoms. The atoms displayed
4845 in each representation are chosen using an extensive atom selection
4846 syntax, which includes Boolean operators and regular expressions.
4847 VMD provides a complete graphical user interface for program control,
4848 as well as a text interface using the Tcl embeddable parser to allow
4849 for complex scripts with variable substitution, control loops, and
4850 function calls. Full session logging is supported, which produces
4851 a VMD command script for later playback. High-resolution raster
4852 images of displayed molecules may be produced by generating input
4853 scripts for use by a number of photorealistic image-rendering applications.
4854 VMD has also been expressly designed with the ability to animate
4855 molecular dynamics (MD) simulation trajectories, imported either
4856 from files or from a direct connection to a running MD simulation.
4857 VMD is the visualization component of MDScope, a set of tools for
4858 interactive problem solving in structural biology, which also includes
4859 the parallel MD program NAMD, and the MDCOMM software used to connect
4860 the visualization and simulation programs. VMD is written in C++,
4861 using an object-oriented design; the program, including source code
4862 and extensive documentation, is freely available via anonymous ftp
4863 and through the World Wide Web.},
4864 Annote = {Uh515 Times Cited:1418 Cited References Count:19},
4865 Author = {W. Humphrey and A. Dalke and K. Schulten},
4866 Issn = {0263-7855},
4867 Journal = {Journal of Molecular Graphics},
4868 Month = {Feb},
4869 Number = 1,
4870 Pages = {33-\&},
4871 Title = {VMD: Visual molecular dynamics},
4872 Uri = {<Go to ISI>://A1996UH51500005},
4873 Volume = 14,
4874 Year = 1996}
4875
4876 @article{Izaguirre2001,
4877 Abstract = {In this paper we show the possibility of using very mild stochastic
4878 damping to stabilize long time step integrators for Newtonian molecular
4879 dynamics. More specifically, stable and accurate integrations are
4880 obtained for damping coefficients that are only a few percent of
4881 the natural decay rate of processes of interest, such as the velocity
4882 autocorrelation function. Two new multiple time stepping integrators,
4883 Langevin Molly (LM) and Brunger-Brooks-Karplus-Molly (BBK-M), are
4884 introduced in this paper. Both use the mollified impulse method
4885 for the Newtonian term. LM uses a discretization of the Langevin
4886 equation that is exact for the constant force, and BBK-M uses the
4887 popular Brunger-Brooks-Karplus integrator (BBK). These integrators,
4888 along with an extrapolative method called LN, are evaluated across
4889 a wide range of damping coefficient values. When large damping coefficients
4890 are used, as one would for the implicit modeling of solvent molecules,
4891 the method LN is superior, with LM closely following. However, with
4892 mild damping of 0.2 ps(-1), LM produces the best results, allowing
4893 long time steps of 14 fs in simulations containing explicitly modeled
4894 flexible water. With BBK-M and the same damping coefficient, time
4895 steps of 12 fs are possible for the same system. Similar results
4896 are obtained for a solvated protein-DNA simulation of estrogen receptor
4897 ER with estrogen response element ERE. A parallel version of BBK-M
4898 runs nearly three times faster than the Verlet-I/r-RESPA (reversible
4899 reference system propagator algorithm) when using the largest stable
4900 time step on each one, and it also parallelizes well. The computation
4901 of diffusion coefficients for flexible water and ER/ERE shows that
4902 when mild damping of up to 0.2 ps-1 is used the dynamics are not
4903 significantly distorted. (C) 2001 American Institute of Physics.},
4904 Annote = {397CQ Times Cited:14 Cited References Count:36},
4905 Author = {J. A. Izaguirre and D. P. Catarello and J. M. Wozniak and R. D. Skeel},
4906 Issn = {0021-9606},
4907 Journal = jcp,
4908 Month = {Feb 1},
4909 Number = 5,
4910 Pages = {2090-2098},
4911 Title = {Langevin stabilization of molecular dynamics},
4912 Uri = {<Go to ISI>://000166676100020},
4913 Volume = 114,
4914 Year = 2001}
4915
4916 @article{Torre1977,
4917 Author = {{Garc\'{i}a de la Torre}, Jose and V.~A. Bloomfield},
4918 Journal = {Biopolymers},
4919 Pages = {1747-1763},
4920 Title = {Hydrodynamic properties of macromolecular complexes. I. Translation},
4921 Volume = 16,
4922 Year = 1977}
4923
4924 @article{Kale1999,
4925 Abstract = {Molecular dynamics programs simulate the behavior of biomolecular
4926 systems, leading to understanding of their functions. However, the
4927 computational complexity of such simulations is enormous. Parallel
4928 machines provide the potential to meet this computational challenge.
4929 To harness this potential, it is necessary to develop a scalable
4930 program. It is also necessary that the program be easily modified
4931 by application-domain programmers. The NAMD2 program presented in
4932 this paper seeks to provide these desirable features. It uses spatial
4933 decomposition combined with force decomposition to enhance scalability.
4934 It uses intelligent periodic load balancing, so as to maximally
4935 utilize the available compute power. It is modularly organized,
4936 and implemented using Charm++, a parallel C++ dialect, so as to
4937 enhance its modifiability. It uses a combination of numerical techniques
4938 and algorithms to ensure that energy drifts are minimized, ensuring
4939 accuracy in long running calculations. NAMD2 uses a portable run-time
4940 framework called Converse that also supports interoperability among
4941 multiple parallel paradigms. As a result, different components of
4942 applications can be written in the most appropriate parallel paradigms.
4943 NAMD2 runs on most parallel machines including workstation clusters
4944 and has yielded speedups in excess of 180 on 220 processors. This
4945 paper also describes the performance obtained on some benchmark
4946 applications. (C) 1999 Academic Press.},
4947 Annote = {194FM Times Cited:373 Cited References Count:51},
4948 Author = {L. Kale and R. Skeel and M. Bhandarkar and R. Brunner and A. Gursoy and N. Krawetz and J. Phillips and A. Shinozaki and K. Varadarajan and K. Schulten},
4949 Issn = {0021-9991},
4950 Journal = jcop,
4951 Month = {May 1},
4952 Number = 1,
4953 Pages = {283-312},
4954 Title = {NAMD2: Greater scalability for parallel molecular dynamics},
4955 Uri = {<Go to ISI>://000080181500013},
4956 Volume = 151,
4957 Year = 1999}
4958
4959 @article{Kane2000,
4960 Abstract = {The purpose of this work is twofold. First, we demonstrate analytically
4961 that the classical Newmark family as well as related integration
4962 algorithms are variational in the sense of the Veselov formulation
4963 of discrete mechanics. Such variational algorithms are well known
4964 to be symplectic and momentum preserving and to often have excellent
4965 global energy behaviour. This analytical result is verified through
4966 numerical examples and is believed to be one of the primary reasons
4967 that this class of algorithms performs so well. Second, we develop
4968 algorithms for mechanical systems with forcing, and in particular,
4969 for dissipative systems. In this case, we develop integrators that
4970 are based on a discretization of the Lagrange d'Alembert principle
4971 as well as on a variational formulation of dissipation. It is demonstrated
4972 that these types of structured integrators have good numerical behaviour
4973 in terms of obtaining the correct amounts by which the energy changes
4974 over the integration run. Copyright (C) 2000 John Wiley & Sons,
4975 Ltd.},
4976 Annote = {373CJ Times Cited:30 Cited References Count:41},
4977 Author = {C. Kane and J. E. Marsden and M. Ortiz and M. West},
4978 Issn = {0029-5981},
4979 Journal = {International Journal for Numerical Methods in Engineering},
4980 Month = {Dec 10},
4981 Number = 10,
4982 Pages = {1295-1325},
4983 Title = {Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems},
4984 Uri = {<Go to ISI>://000165270600004},
4985 Volume = 49,
4986 Year = 2000}
4987
4988 @article{Klimov1997,
4989 Abstract = {The viscosity (eta) dependence of the folding rates for four sequences
4990 (the native state of three sequences is a beta sheet, while the
4991 fourth forms an alpha helix) is calculated for off-lattice models
4992 of proteins. Assuming that the dynamics is given by the Langevin
4993 equation, we show that the folding rates increase linearly at low
4994 viscosities eta, decrease as 1/eta at large eta, and have a maximum
4995 at intermediate values. The Kramers' theory of barrier crossing
4996 provides a quantitative fit of the numerical results. By mapping
4997 the simulation results to real proteins we estimate that for optimized
4998 sequences the time scale for forming a four turn alpha-helix topology
4999 is about 500 ns, whereas for beta sheet it is about 10 mu s.},
5000 Annote = {Xk293 Times Cited:77 Cited References Count:17},
5001 Author = {D. K. Klimov and D. Thirumalai},
5002 Issn = {0031-9007},
5003 Journal = prl,
5004 Month = {Jul 14},
5005 Number = 2,
5006 Pages = {317-320},
5007 Title = {Viscosity dependence of the folding rates of proteins},
5008 Uri = {<Go to ISI>://A1997XK29300035},
5009 Volume = 79,
5010 Year = 1997}
5011
5012 @article{Kol1997,
5013 Abstract = {Rigid-body molecular dynamics simulations typically are performed
5014 in a quaternion representation. The nonseparable form of the Hamiltonian
5015 in quaternions prevents the use of a standard leapfrog (Verlet)
5016 integrator, so nonsymplectic Runge-Kutta, multistep, or extrapolation
5017 methods are generally used, This is unfortunate since symplectic
5018 methods like Verlet exhibit superior energy conservation in long-time
5019 integrations. In this article, we describe an alternative method,
5020 which we call RSHAKE (for rotation-SHAKE), in which the entire rotation
5021 matrix is evolved (using the scheme of McLachlan and Scovel [J.
5022 Nonlin. Sci, 16 233 (1995)]) in tandem with the particle positions.
5023 We employ a fast approximate Newton solver to preserve the orthogonality
5024 of the rotation matrix. We test our method on a system of soft-sphere
5025 dipoles and compare with quaternion evolution using a 4th-order
5026 predictor-corrector integrator, Although the short-time error of
5027 the quaternion algorithm is smaller for fixed time step than that
5028 for RSHAKE, the quaternion scheme exhibits an energy drift which
5029 is not observed in simulations with RSHAKE, hence a fixed energy
5030 tolerance can be achieved by using a larger time step, The superiority
5031 of RSHAKE increases with system size. (C) 1997 American Institute
5032 of Physics.},
5033 Annote = {Xq332 Times Cited:11 Cited References Count:18},
5034 Author = {A. Kol and B. B. Laird and B. J. Leimkuhler},
5035 Issn = {0021-9606},
5036 Journal = jcp,
5037 Month = {Aug 15},
5038 Number = 7,
5039 Pages = {2580-2588},
5040 Title = {A symplectic method for rigid-body molecular simulation},
5041 Uri = {<Go to ISI>://A1997XQ33200046},
5042 Volume = 107,
5043 Year = 1997}
5044
5045 @article{Lansac2001,
5046 Abstract = {Cyanobiphenyls (nCB's) represent a useful and intensively studied
5047 class of mesogens. Many of the peculiar properties of nCB's (e.g.,
5048 the occurence of the partial bilayer smectic-A(d) phase) are thought
5049 to be a manifestation of short-range antiparallel association of
5050 neighboring molecules, resulting from strong dipole-dipole interactions
5051 between cyano groups. To test and extend existing models of microscopic
5052 ordering in nCB's, we carry out large-scale atomistic simulation
5053 studies of the microscopic structure and dynamics of the Sm-A(d)
5054 phase of 4-octyl-4'-cyanobiphenyl (8CB). We compute a variety of
5055 thermodynamic, structural, and dynamical properties for this material,
5056 and make a detailed comparison of our results with experimental
5057 measurements in order to validate our molecular model. Semiquantitative
5058 agreement with experiment is found: the smectic layer spacing and
5059 mass density are well reproduced, translational diffusion constants
5060 are similar to experiment, but the orientational ordering of alkyl
5061 chains is overestimated. This simulation provides a detailed picture
5062 of molecular conformation, smectic layer structure, and intermolecular
5063 correlations in Sm-A(d) 8CB, and demonstrates that pronounced short-range
5064 antiparallel association of molecules arising from dipole-dipole
5065 interactions plays a dominant role in determining the molecular-scale
5066 structure of 8CB.},
5067 Annote = {Part 1 496QF Times Cited:10 Cited References Count:60},
5068 Author = {Y. Lansac and M. A. Glaser and N. A. Clark},
5069 Issn = {1063-651X},
5070 Journal = {Physical Review E},
5071 Month = {Nov},
5072 Number = 5,
5073 Pages = {-},
5074 Title = {Microscopic structure and dynamics of a partial bilayer smectic liquid crystal},
5075 Uri = {<Go to ISI>://000172406900063},
5076 Volume = 6405,
5077 Year = 2001}
5078
5079 @article{Lansac2003,
5080 Abstract = {Recently, a new class of smectic liquid crystal phases characterized
5081 by the spontaneous formation of macroscopic chiral domains from
5082 achiral bent-core molecules has been discovered. We have carried
5083 out Monte Carlo simulations of a minimal hard spherocylinder dimer
5084 model to investigate the role of excluded volume interactions in
5085 determining the phase behavior of bent-core materials and to probe
5086 the molecular origins of polar and chiral symmetry breaking. We
5087 present the phase diagram of hard spherocylinder dimers of length-diameter
5088 ratio of 5 as a function of pressure or density and dimer opening
5089 angle psi. With decreasing psi, a transition from a nonpolar to
5090 a polar smectic A phase is observed near psi=167degrees, and the
5091 nematic phase becomes thermodynamically unstable for psi<135degrees.
5092 Free energy calculations indicate that the antipolar smectic A (SmAP(A))
5093 phase is more stable than the polar smectic A phase (SmAP(F)). No
5094 chiral smectic or biaxial nematic phases were found.},
5095 Annote = {Part 1 646CM Times Cited:15 Cited References Count:38},
5096 Author = {Y. Lansac and P. K. Maiti and N. A. Clark and M. A. Glaser},
5097 Issn = {1063-651X},
5098 Journal = {Physical Review E},
5099 Month = {Jan},
5100 Number = 1,
5101 Pages = {-},
5102 Title = {Phase behavior of bent-core molecules},
5103 Uri = {<Go to ISI>://000181017300042},
5104 Volume = 67,
5105 Year = 2003}
5106
5107 @book{Leach2001,
5108 Address = {Harlow, England},
5109 Author = {A. Leach},
5110 Edition = {2nd},
5111 Publisher = {Pearson Educated Limited},
5112 Title = {Molecular Modeling: Principles and Applications},
5113 Year = 2001}
5114
5115 @article{Leimkuhler1999,
5116 Abstract = {Reversible and adaptive integration methods based on Kustaanheimo-Stiefel
5117 regularization and modified Sundman transformations are applied
5118 to simulate general perturbed Kepler motion and to compute classical
5119 trajectories of atomic systems (e.g. Rydberg atoms). The new family
5120 of reversible adaptive regularization methods also conserves angular
5121 momentum and exhibits superior energy conservation and numerical
5122 stability in long-time integrations. The schemes are appropriate
5123 for scattering, for astronomical calculations of escape time and
5124 long-term stability, and for classical and semiclassical studies
5125 of atomic dynamics. The components of an algorithm for trajectory
5126 calculations are described. Numerical experiments illustrate the
5127 effectiveness of the reversible approach.},
5128 Annote = {199EE Times Cited:11 Cited References Count:48},
5129 Author = {B. Leimkuhler},
5130 Issn = {1364-503X},
5131 Journal = {Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences},
5132 Month = {Apr 15},
5133 Number = 1754,
5134 Pages = {1101-1133},
5135 Title = {Reversible adaptive regularization: perturbed Kepler motion and classical atomic trajectories},
5136 Uri = {<Go to ISI>://000080466800007},
5137 Volume = 357,
5138 Year = 1999}
5139
5140 @book{Leimkuhler2004,
5141 Address = {Cambridge},
5142 Author = {B. Leimkuhler and S. Reich},
5143 Publisher = {Cambridge University Press},
5144 Title = {Simulating Hamiltonian Dynamics},
5145 Year = 2004}
5146
5147 @article{Levelut1981,
5148 Annote = {Ml751 Times Cited:96 Cited References Count:16},
5149 Author = {A. M. Levelut and R. J. Tarento and F. Hardouin and M. F. Achard and G. Sigaud},
5150 Issn = {1050-2947},
5151 Journal = {Physical Review A},
5152 Number = 4,
5153 Pages = {2180-2186},
5154 Title = {Number of Sa Phases},
5155 Uri = {<Go to ISI>://A1981ML75100057},
5156 Volume = 24,
5157 Year = 1981}
5158
5159 @article{Lieb1982,
5160 Annote = {Nu461 Times Cited:40 Cited References Count:28},
5161 Author = {W. R. Lieb and M. Kovalycsik and R. Mendelsohn},
5162 Issn = {0006-3002},
5163 Journal = {Biochimica Et Biophysica Acta},
5164 Number = 2,
5165 Pages = {388-398},
5166 Title = {Do Clinical-Levels of General-Anesthetics Affect Lipid Bilayers - Evidence from Raman-Scattering},
5167 Uri = {<Go to ISI>://A1982NU46100012},
5168 Volume = 688,
5169 Year = 1982}
5170
5171 @article{Link1997,
5172 Abstract = {A smectic liquid-crystal phase made from achiral molecules with bent
5173 cores was found to have fluid layers that exhibit two spontaneous
5174 symmetry-breaking instabilities: polar molecular orientational ordering
5175 about the layer normal and molecular tilt. These instabilities combine
5176 to form a chiral layer structure with a handedness that depends
5177 on the sign of the tilt. The bulk states are either antiferroelectric-racemic,
5178 with the layer polar direction and handedness alternating in sign
5179 from layer to layer, or antiferroelectric-chiral, which is of uniform
5180 layer handedness. Both states exhibit an electric field-induced
5181 transition from antiferroelectric to ferroelectric.},
5182 Annote = {Yl002 Times Cited:407 Cited References Count:25},
5183 Author = {D. R. Link and G. Natale and R. Shao and J. E. Maclennan and N. A. Clark and E. Korblova and D. M. Walba},
5184 Issn = {0036-8075},
5185 Journal = {Science},
5186 Month = {Dec 12},
5187 Number = 5345,
5188 Pages = {1924-1927},
5189 Title = {Spontaneous formation of macroscopic chiral domains in a fluid smectic phase of achiral molecules},
5190 Uri = {<Go to ISI>://A1997YL00200028},
5191 Volume = 278,
5192 Year = 1997}
5193
5194 @article{Liwo2005,
5195 Annote = {Suppl. 1 005MG Times Cited:0 Cited References Count:0},
5196 Author = {A. Liwo and M. Khalili and H. A. Scheraga},
5197 Issn = {1742-464X},
5198 Journal = {Febs Journal},
5199 Month = {Jul},
5200 Pages = {359-360},
5201 Title = {Ab initio simulations of protein folding pathways by molecular dynamics with the united-residue (UNRES) model of polypeptide chains},
5202 Uri = {<Go to ISI>://000234826102043},
5203 Volume = 272,
5204 Year = 2005}
5205
5206 @article{Luty1994,
5207 Abstract = {We compare the Particle-Particle Particle-Mesh (PPPM) and Ewald methods
5208 for calculating electrostatic interactions in periodic molecular
5209 systems. A brief comparison of the theories shows that the methods
5210 are very similar differing mainly in the technique which is used
5211 to perform the ''k-space'' or mesh calculation. Because the PPPM
5212 utilizes the highly efficient numerical Fast Fourier Transform (FFT)
5213 method it requires significantly less computational effort than
5214 the Ewald method and scale's almost linearly with system size.},
5215 Annote = {Qf464 Times Cited:50 Cited References Count:20},
5216 Author = {B. A. Luty and M. E. Davis and I. G. Tironi and W. F. Vangunsteren},
5217 Issn = {0892-7022},
5218 Journal = {Molecular Simulation},
5219 Number = 1,
5220 Pages = {11-20},
5221 Title = {A Comparison of Particle-Particle, Particle-Mesh and Ewald Methods for Calculating Electrostatic Interactions in Periodic Molecular-Systems},
5222 Uri = {<Go to ISI>://A1994QF46400002},
5223 Volume = 14,
5224 Year = 1994}
5225
5226 @book{Marion1990,
5227 Address = {New York},
5228 Author = {J.~B. Marion},
5229 Edition = {2rd},
5230 Publisher = {Academic Press},
5231 Title = {Classical Dynamics of Particles and Systems},
5232 Year = 1990}
5233
5234 @article{Marrink1994,
5235 Abstract = {To obtain insight in the process of water permeation through a lipid
5236 membrane, we performed molecular dynamics simulations on a phospholipid
5237 (DPPC)/water system with atomic detail. Since the actual process
5238 of permeation is too slow to be studied directly, we deduced the
5239 permeation rate indirectly via computation of the free energy and
5240 diffusion rate profiles of a water molecule across the bilayer.
5241 We conclude that the permeation of water through a lipid membrane
5242 cannot be described adequately by a simple homogeneous solubility-diffusion
5243 model. Both the excess free energy and the diffusion rate strongly
5244 depend on the position in the membrane, as a result from the inhomogeneous
5245 nature of the membrane. The calculated excess free energy profile
5246 has a shallow slope and a maximum height of 26 kJ/mol. The diffusion
5247 rate is highest in the middle of the membrane where the lipid density
5248 is low. In the interfacial region almost all water molecules are
5249 bound by the lipid headgroups, and the diffusion turns out to be
5250 1 order of magnitude smaller. The total transport process is essentially
5251 determined by the free energy barrier. The rate-limiting step is
5252 the permeation through the dense part of the lipid tails, where
5253 the resistance is highest. We found a permeation rate of 7(+/-3)
5254 x 10(-2) cm/s at 350 K, comparable to experimental values for DPPC
5255 membranes, if corrected for the temperature of the simulation. Taking
5256 the inhomogeneity of the membrane into account, we define a new
5257 ''four-region'' model which seems to be more realistic than the
5258 ''two-phase'' solubility-diffusion model.},
5259 Annote = {Ng219 Times Cited:187 Cited References Count:25},
5260 Author = {S. J. Marrink and H. J. C. Berendsen},
5261 Issn = {0022-3654},
5262 Journal = {Journal of Physical Chemistry},
5263 Month = {Apr 14},
5264 Number = 15,
5265 Pages = {4155-4168},
5266 Title = {Simulation of Water Transport through a Lipid-Membrane},
5267 Uri = {<Go to ISI>://A1994NG21900040},
5268 Volume = 98,
5269 Year = 1994}
5270
5271 @article{Marrink2004,
5272 Author = {S.~J. Marrink and A.~H. de~Vries and A.~E. Mark},
5273 Journal = {J. Phys. Chem. B},
5274 Pages = {750-760},
5275 Title = {Coarse Grained Model for Semiquantitative Lipid Simulations},
5276 Volume = 108,
5277 Year = 2004}
5278
5279 @article{Marsden1998,
5280 Abstract = {This paper presents a geometric-variational approach to continuous
5281 and discrete mechanics and field theories. Using multisymplectic
5282 geometry, we show that the existence of the fundamental geometric
5283 structures as well as their preservation along solutions can be
5284 obtained directly from the variational principle. In particular,
5285 we prove that a unique multisymplectic structure is obtained by
5286 taking the derivative of an action function, and use this structure
5287 to prove covariant generalizations of conservation of symplecticity
5288 and Noether's theorem. Natural discretization schemes for PDEs,
5289 which have these important preservation properties, then follow
5290 by choosing a discrete action functional. In the case of mechanics,
5291 we recover the variational symplectic integrators of Veselov type,
5292 while for PDEs we obtain covariant spacetime integrators which conserve
5293 the corresponding discrete multisymplectic form as well as the discrete
5294 momentum mappings corresponding to symmetries. We show that the
5295 usual notion of symplecticity along an infinite-dimensional space
5296 of fields can be naturally obtained by making a spacetime split.
5297 All of the aspects of our method are demonstrated with a nonlinear
5298 sine-Gordon equation, including computational results and a comparison
5299 with other discretization schemes.},
5300 Annote = {154RH Times Cited:88 Cited References Count:36},
5301 Author = {J. E. Marsden and G. W. Patrick and S. Shkoller},
5302 Issn = {0010-3616},
5303 Journal = {Communications in Mathematical Physics},
5304 Month = {Dec},
5305 Number = 2,
5306 Pages = {351-395},
5307 Title = {Multisymplectic geometry, variational integrators, and nonlinear PDEs},
5308 Uri = {<Go to ISI>://000077902200006},
5309 Volume = 199,
5310 Year = 1998}
5311
5312 @article{Matthey2004,
5313 Abstract = {PROTOMOL is a high-performance framework in C++ for rapid prototyping
5314 of novel algorithms for molecular dynamics and related applications.
5315 Its flexibility is achieved primarily through the use of inheritance
5316 and design patterns (object-oriented programming): Performance is
5317 obtained by using templates that enable generation of efficient
5318 code for sections critical to performance (generic programming).
5319 The framework encapsulates important optimizations that can be used
5320 by developers, such as parallelism in the force computation. Its
5321 design is based on domain analysis of numerical integrators for
5322 molecular dynamics (MD) and of fast solvers for the force computation,
5323 particularly due to electrostatic interactions. Several new and
5324 efficient algorithms are implemented in PROTOMOL. Finally, it is
5325 shown that PROTOMOL'S sequential performance is excellent when compared
5326 to a leading MD program, and that it scales well for moderate number
5327 of processors. Binaries and source codes for Windows, Linux, Solaris,
5328 IRIX, HP-UX, and AIX platforms are available under open source license
5329 at http://protomol.sourceforge.net.},
5330 Annote = {860EP Times Cited:2 Cited References Count:52},
5331 Author = {T. Matthey and T. Cickovski and S. Hampton and A. Ko and Q. Ma and M. Nyerges and T. Raeder and T. Slabach and J. A. Izaguirre},
5332 Issn = {0098-3500},
5333 Journal = {Acm Transactions on Mathematical Software},
5334 Month = {Sep},
5335 Number = 3,
5336 Pages = {237-265},
5337 Title = {ProtoMol, an object-oriented framework for prototyping novel algorithms for molecular dynamics},
5338 Uri = {<Go to ISI>://000224325600001},
5339 Volume = 30,
5340 Year = 2004}
5341
5342 @article{McLachlan1993,
5343 Author = {R.~I McLachlan},
5344 Journal = {prl},
5345 Pages = {3043-3046},
5346 Title = {Explicit Lie-Poisson integration and the Euler equations},
5347 Volume = 71,
5348 Year = 1993}
5349
5350 @article{McLachlan1998,
5351 Abstract = {We give a survey and some new examples of generating functions for
5352 systems with symplectic structure, systems with a first integral,
5353 systems that preserve volume, and systems with symmetries and/or
5354 time-reversing symmetries. Both ODEs and maps are treated, and we
5355 discuss how generating functions may be used in the structure-preserving
5356 numerical integration of ODEs with the above properties.},
5357 Annote = {Yt049 Times Cited:7 Cited References Count:26},
5358 Author = {R. I. McLachlan and G. R. W. Quispel},
5359 Issn = {0167-2789},
5360 Journal = {Physica D},
5361 Month = {Jan 15},
5362 Number = {1-2},
5363 Pages = {298-309},
5364 Title = {Generating functions for dynamical systems with symmetries, integrals, and differential invariants},
5365 Uri = {<Go to ISI>://000071558900021},
5366 Volume = 112,
5367 Year = 1998}
5368
5369 @article{McLachlan1998a,
5370 Abstract = {We consider properties of flows, the relationships between them, and
5371 whether numerical integrators can be made to preserve these properties.
5372 This is done in the context of automorphisms and antiautomorphisms
5373 of a certain group generated by maps associated to vector fields.
5374 This new framework unifies several known constructions. We also
5375 use the concept of #covariance# of a numerical method with respect
5376 to a group of coordinate transformations. The main application is
5377 to explore the relationship between spatial symmetries, reversing
5378 symmetries, and time symmetry of flows and numerical integrators.},
5379 Annote = {Zc449 Times Cited:14 Cited References Count:33},
5380 Author = {R. I. McLachlan and G. R. W. Quispel and G. S. Turner},
5381 Issn = {0036-1429},
5382 Journal = {Siam Journal on Numerical Analysis},
5383 Month = {Apr},
5384 Number = 2,
5385 Pages = {586-599},
5386 Title = {Numerical integrators that preserve symmetries and reversing symmetries},
5387 Uri = {<Go to ISI>://000072580500010},
5388 Volume = 35,
5389 Year = 1998}
5390
5391 @article{McLachlan2005,
5392 Abstract = {In this paper we revisit the Moser-Veselov description of the free
5393 rigid body in body coordinates, which, in the 3 x 3 case, can be
5394 implemented as an explicit, second-order, integrable approximation
5395 of the continuous solution. By backward error analysis, we study
5396 the modified vector field which is integrated exactly by the discrete
5397 algorithm. We deduce that the discrete Moser-Veselov (DMV) is well
5398 approximated to higher order by time reparametrizations of the continuous
5399 equations (modified vector field). We use the modified vector field
5400 to scale the initial data of the DMV to improve the order of the
5401 approximation and show the equivalence of the DMV and the RATTLE
5402 algorithm. Numerical integration with these preprocessed initial
5403 data is several orders of magnitude more accurate than the original
5404 DMV and RATTLE approach.},
5405 Annote = {911NS Times Cited:0 Cited References Count:14},
5406 Author = {R. I. McLachlan and A. Zanna},
5407 Issn = {1615-3375},
5408 Journal = {Foundations of Computational Mathematics},
5409 Month = {Feb},
5410 Number = 1,
5411 Pages = {87-123},
5412 Title = {The discrete Moser-Veselov algorithm for the free rigid body, revisited},
5413 Uri = {<Go to ISI>://000228011900003},
5414 Volume = 5,
5415 Year = 2005}
5416
5417 @article{Meineke2005,
5418 Abstract = {OOPSE is a new molecular dynamics simulation program that is capable
5419 of efficiently integrating equations of motion for atom types with
5420 orientational degrees of freedom (e.g. #sticky# atoms and point
5421 dipoles). Transition metals can also be simulated using the embedded
5422 atom method (EAM) potential included in the code. Parallel simulations
5423 are carried out using the force-based decomposition method. Simulations
5424 are specified using a very simple C-based meta-data language. A
5425 number of advanced integrators are included, and the basic integrator
5426 for orientational dynamics provides substantial improvements over
5427 older quaternion-based schemes. (C) 2004 Wiley Periodicals, Inc.},
5428 Annote = {891CF Times Cited:1 Cited References Count:56},
5429 Author = {M. A. Meineke and C. F. Vardeman and T. Lin and C. J. Fennell and J. D. Gezelter},
5430 Issn = {0192-8651},
5431 Journal = jcc,
5432 Month = {Feb},
5433 Number = 3,
5434 Pages = {252-271},
5435 Title = {OOPSE: An object-oriented parallel simulation engine for molecular dynamics},
5436 Uri = {<Go to ISI>://000226558200006},
5437 Volume = 26,
5438 Year = 2005}
5439
5440 @article{Melchionna1993,
5441 Abstract = {In this paper we write down equations of motion (following the approach
5442 pioneered by Hoover) for an exact isothermal-isobaric molecular
5443 dynamics simulation, and we extend them to multiple thermostating
5444 rates, to a shape-varying cell and to molecular systems, coherently
5445 with the previous 'extended system method'. An integration scheme
5446 is proposed together with a numerical illustration of the method.},
5447 Annote = {Kq355 Times Cited:172 Cited References Count:17},
5448 Author = {S. Melchionna and G. Ciccotti and B. L. Holian},
5449 Issn = {0026-8976},
5450 Journal = mp,
5451 Month = {Feb 20},
5452 Number = 3,
5453 Pages = {533-544},
5454 Title = {Hoover Npt Dynamics for Systems Varying in Shape and Size},
5455 Uri = {<Go to ISI>://A1993KQ35500002},
5456 Volume = 78,
5457 Year = 1993}
5458
5459 @article{Memmer2002,
5460 Abstract = {The phase behaviour of achiral banana-shaped molecules was studied
5461 by computer simulation. The banana-shaped molecules were described
5462 by model intermolecular interactions based on the Gay-Berne potential.
5463 The characteristic molecular structure was considered by joining
5464 two calamitic Gay-Berne particles through a bond to form a biaxial
5465 molecule of point symmetry group C-2v with a suitable bending angle.
5466 The dependence on temperature of systems of N=1024 rigid banana-shaped
5467 molecules with bending angle phi=140degrees has been studied by
5468 means of Monte Carlo simulations in the isobaric-isothermal ensemble
5469 (NpT). On cooling an isotropic system, two phase transitions characterized
5470 by phase transition enthalpy, entropy and relative volume change
5471 have been observed. For the first time by computer simulation of
5472 a many-particle system of banana-shaped molecules, at low temperature
5473 an untilted smectic phase showing a global phase biaxiality and
5474 a spontaneous local polarization in the layers, i.e. a local polar
5475 arrangement of the steric dipoles, with an antiferroelectric-like
5476 superstructure could be proven, a phase structure which recently
5477 has been discovered experimentally. Additionally, at intermediate
5478 temperature a nematic-like phase has been proved, whereas close
5479 to the transition to the smectic phase hints of a spontaneous achiral
5480 symmetry breaking have been determined. Here, in the absence of
5481 a layered structure a helical superstructure has been formed. All
5482 phases have been characterized by visual representations of selected
5483 configurations, scalar and pseudoscalar correlation functions, and
5484 order parameters.},
5485 Annote = {531HT Times Cited:12 Cited References Count:37},
5486 Author = {R. Memmer},
5487 Issn = {0267-8292},
5488 Journal = {Liquid Crystals},
5489 Month = {Apr},
5490 Number = 4,
5491 Pages = {483-496},
5492 Title = {Liquid crystal phases of achiral banana-shaped molecules: a computer simulation study},
5493 Uri = {<Go to ISI>://000174410500001},
5494 Volume = 29,
5495 Year = 2002}
5496
5497 @article{Metropolis1949,
5498 Author = {N. Metropolis and S. Ulam},
5499 Journal = {J. Am. Stat. Ass.},
5500 Pages = {335-341},
5501 Title = {The $\mbox{Monte Carlo}$ Method},
5502 Volume = 44,
5503 Year = 1949}
5504
5505 @article{Mielke2004,
5506 Abstract = {The torque generated by RNA polymerase as it tracks along double-stranded
5507 DNA can potentially induce long-range structural deformations integral
5508 to mechanisms of biological significance in both prokaryotes and
5509 eukaryotes. In this paper, we introduce a dynamic computer model
5510 for investigating this phenomenon. Duplex DNA is represented as
5511 a chain of hydrodynamic beads interacting through potentials of
5512 linearly elastic stretching, bending, and twisting, as well as excluded
5513 volume. The chain, linear when relaxed, is looped to form two open
5514 but topologically constrained subdomains. This permits the dynamic
5515 introduction of torsional stress via a centrally applied torque.
5516 We simulate by Brownian dynamics the 100 mus response of a 477-base
5517 pair B-DNA template to the localized torque generated by the prokaryotic
5518 transcription ensemble. Following a sharp rise at early times, the
5519 distributed twist assumes a nearly constant value in both subdomains,
5520 and a succession of supercoiling deformations occurs as superhelical
5521 stress is increasingly partitioned to writhe. The magnitude of writhe
5522 surpasses that of twist before also leveling off when the structure
5523 reaches mechanical equilibrium with the torsional load. Superhelicity
5524 is simultaneously right handed in one subdomain and left handed
5525 in the other, as predicted by the #transcription-induced##twin-supercoiled-domain#
5526 model [L. F. Liu and J. C. Wang, Proc. Natl. Acad. Sci. U.S.A. 84,
5527 7024 (1987)]. The properties of the chain at the onset of writhing
5528 agree well with predictions from theory, and the generated stress
5529 is ample for driving secondary structural transitions in physiological
5530 DNA. (C) 2004 American Institute of Physics.},
5531 Annote = {861ZF Times Cited:3 Cited References Count:34},
5532 Author = {S. P. Mielke and W. H. Fink and V. V. Krishnan and N. Gronbech-Jensen and C. J. Benham},
5533 Issn = {0021-9606},
5534 Journal = jcp,
5535 Month = {Oct 22},
5536 Number = 16,
5537 Pages = {8104-8112},
5538 Title = {Transcription-driven twin supercoiling of a DNA loop: A Brownian dynamics study},
5539 Uri = {<Go to ISI>://000224456500064},
5540 Volume = 121,
5541 Year = 2004}
5542
5543 @article{Naess2001,
5544 Abstract = {The three Eulerian angles constitute the classical choice of generalized
5545 coordinates used to describe the three degrees of rotational freedom
5546 of a rigid body, but it has long been known that this choice yields
5547 singular equations of motion. The latter is also true when Eulerian
5548 angles are used in Brownian dynamics analyses of the angular orientation
5549 of single rigid bodies and segmented polymer chains. Starting from
5550 kinetic theory we here show that by instead employing the three
5551 components of Cartesian rotation vectors as the generalized coordinates
5552 describing angular orientation, no singularity appears in the configuration
5553 space diffusion equation and the associated Brownian dynamics algorithm.
5554 The suitability of Cartesian rotation vectors in Brownian dynamics
5555 simulations of segmented polymer chains with spring-like or ball-socket
5556 joints is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.},
5557 Annote = {433TA Times Cited:7 Cited References Count:19},
5558 Author = {S. N. Naess and H. M. Adland and A. Mikkelsen and A. Elgsaeter},
5559 Issn = {0378-4371},
5560 Journal = {Physica A},
5561 Month = {May 15},
5562 Number = {3-4},
5563 Pages = {323-339},
5564 Title = {Brownian dynamics simulation of rigid bodies and segmented polymer chains. Use of Cartesian rotation vectors as the generalized coordinates describing angular orientations},
5565 Uri = {<Go to ISI>://000168774800005},
5566 Volume = 294,
5567 Year = 2001}
5568
5569 @article{Niori1996,
5570 Abstract = {The synthesis of a banana-shaped molecule is reported and it is found
5571 that the smectic phase which it forms is biaxial with the molecules
5572 packed in the best,direction into a layer. Because of this characteristic
5573 packing, spontaneous polarization appears parallel to the layer
5574 and switches on reversal of an applied electric field. This is the
5575 first obvious example of ferroelectricity in an achiral smectic
5576 phase and is ascribed to the C-2v symmetry of the molecular packing.},
5577 Annote = {Ux855 Times Cited:447 Cited References Count:18},
5578 Author = {T. Niori and T. Sekine and J. Watanabe and T. Furukawa and H. Takezoe},
5579 Issn = {0959-9428},
5580 Journal = {Journal of Materials Chemistry},
5581 Month = {Jul},
5582 Number = 7,
5583 Pages = {1231-1233},
5584 Title = {Distinct ferroelectric smectic liquid crystals consisting of banana shaped achiral molecules},
5585 Uri = {<Go to ISI>://A1996UX85500025},
5586 Volume = 6,
5587 Year = 1996}
5588
5589 @article{Noguchi2002,
5590 Abstract = {We Studied the structural changes of bilayer vesicles induced by mechanical
5591 forces using a Brownian dynamics simulation. Two nanoparticles,
5592 which interact repulsively with amphiphilic molecules, are put inside
5593 a vesicle. The position of one nanoparticle is fixed, and the other
5594 is moved by a constant force as in optical-trapping experiments.
5595 First, the pulled vesicle stretches into a pear or tube shape. Then
5596 the inner monolayer in the tube-shaped region is deformed, and a
5597 cylindrical structure is formed between two vesicles. After stretching
5598 the cylindrical region, fission occurs near the moved vesicle. Soon
5599 after this the cylindrical region shrinks. The trapping force similar
5600 to 100 pN is needed to induce the formation of the cylindrical structure
5601 and fission.},
5602 Annote = {Part 1 568PX Times Cited:5 Cited References Count:39},
5603 Author = {H. Noguchi and M. Takasu},
5604 Issn = {1063-651X},
5605 Journal = {Physical Review E},
5606 Month = {may},
5607 Number = 5,
5608 Pages = {-},
5609 Title = {Structural changes of pulled vesicles: A Brownian dynamics simulation},
5610 Uri = {<Go to ISI>://000176552300084},
5611 Volume = 65,
5612 Year = 2002}
5613
5614 @article{Noguchi2001,
5615 Abstract = {We studied the fusion dynamics of vesicles using a Brownian dynamics
5616 simulation. Amphiphilic molecules spontaneously form vesicles with
5617 a bilayer structure. Two vesicles come into contact and form a stalk
5618 intermediate, in which a necklike structure only connects the outer
5619 monolayers, as predicted by the stalk hypothesis. We have found
5620 a new pathway of pore opening from stalks at high temperature: the
5621 elliptic stalk bends and contact between the ends of the arc-shaped
5622 stalk leads to pore opening. On the other hand, we have clarified
5623 that the pore-opening process at low temperature agrees with the
5624 modified stalk model: a pore is induced by contact between the inner
5625 monolayers inside the stalk. (C) 2001 American Institute of Physics.},
5626 Annote = {491UW Times Cited:48 Cited References Count:25},
5627 Author = {H. Noguchi and M. Takasu},
5628 Issn = {0021-9606},
5629 Journal = jcp,
5630 Month = {Nov 22},
5631 Number = 20,
5632 Pages = {9547-9551},
5633 Title = {Fusion pathways of vesicles: A Brownian dynamics simulation},
5634 Uri = {<Go to ISI>://000172129300049},
5635 Volume = 115,
5636 Year = 2001}
5637
5638 @book{Olver1986,
5639 Address = {New York},
5640 Author = {P.J. Olver},
5641 Publisher = {Springer},
5642 Title = {Applications of Lie groups to differential equatitons},
5643 Year = 1986}
5644
5645 @article{Omelyan1998,
5646 Abstract = {A revised version of the quaternion approach for numerical integration
5647 of the equations of motion for rigid polyatomic molecules is proposed.
5648 The modified approach is based on a formulation of the quaternion
5649 dynamics with constraints. This allows one to resolve the rigidity
5650 problem rigorously using constraint forces. It is shown that the
5651 procedure for preservation of molecular rigidity can be realized
5652 particularly simply within the Verlet algorithm in velocity form.
5653 We demonstrate that the method presented leads to an improved numerical
5654 stability with respect to the usual quaternion rescaling scheme
5655 and it is roughly as good as the cumbersome atomic-constraint technique.
5656 (C) 1998 American Institute of Physics.},
5657 Annote = {Yx279 Times Cited:12 Cited References Count:28},
5658 Author = {I. P. Omelyan},
5659 Issn = {0894-1866},
5660 Journal = {Computers in Physics},
5661 Month = {Jan-Feb},
5662 Number = 1,
5663 Pages = {97-103},
5664 Title = {On the numerical integration of motion for rigid polyatomics: The modified quaternion approach},
5665 Uri = {<Go to ISI>://000072024300025},
5666 Volume = 12,
5667 Year = 1998}
5668
5669 @article{Omelyan1998a,
5670 Abstract = {An algorithm for numerical integration of the rigid-body equations
5671 of motion is proposed. The algorithm uses the leapfrog scheme and
5672 the quantities involved are angular velocities and orientational
5673 variables that can be expressed in terms of either principal axes
5674 or quaternions. Due to specific features of the algorithm, orthonormality
5675 and unit norms of the orientational variables are integrals of motion,
5676 despite an approximate character of the produced trajectories. It
5677 is shown that the method presented appears to be the most efficient
5678 among all such algorithms known.},
5679 Annote = {101XL Times Cited:8 Cited References Count:22},
5680 Author = {I. P. Omelyan},
5681 Issn = {1063-651X},
5682 Journal = {Physical Review E},
5683 Month = {Jul},
5684 Number = 1,
5685 Pages = {1169-1172},
5686 Title = {Algorithm for numerical integration of the rigid-body equations of motion},
5687 Uri = {<Go to ISI>://000074893400151},
5688 Volume = 58,
5689 Year = 1998}
5690
5691 @article{Owren1992,
5692 Abstract = {Continuous, explicit Runge-Kutta methods with the minimal number of
5693 stages are considered. These methods are continuously differentiable
5694 if and only if one of the stages is the FSAL evaluation. A characterization
5695 of a subclass of these methods is developed for orders 3, 4, and
5696 5. It is shown how the free parameters of these methods can be used
5697 either to minimize the continuous truncation error coefficients
5698 or to maximize the stability region. As a representative for these
5699 methods the fifth-order method with minimized error coefficients
5700 is chosen, supplied with an error estimation method, and analysed
5701 by using the DETEST software. The results are compared with a similar
5702 implementation of the Dormand-Prince 5(4) pair with interpolant,
5703 showing a significant advantage in the new method for the chosen
5704 problems.},
5705 Annote = {Ju936 Times Cited:25 Cited References Count:20},
5706 Author = {B. Owren and M. Zennaro},
5707 Issn = {0196-5204},
5708 Journal = {Siam Journal on Scientific and Statistical Computing},
5709 Month = {Nov},
5710 Number = 6,
5711 Pages = {1488-1501},
5712 Title = {Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods},
5713 Uri = {<Go to ISI>://A1992JU93600013},
5714 Volume = 13,
5715 Year = 1992}
5716
5717 @article{Palacios1998,
5718 Abstract = {The stochastic Landau-Lifshitz-Gilbert equation of motion for a classical
5719 magnetic moment is numerically solved (properly observing the customary
5720 interpretation of it as a Stratonovich stochastic differential equation),
5721 in order to study the dynamics of magnetic nanoparticles. The corresponding
5722 Langevin-dynamics approach allows for the study of the fluctuating
5723 trajectories of individual magnetic moments, where we have encountered
5724 remarkable phenomena in the overbarrier rotation process, such as
5725 crossing-back or multiple crossing of the potential barrier, rooted
5726 in the gyromagnetic nature of the system. Concerning averaged quantities,
5727 we study the linear dynamic response of the archetypal ensemble
5728 of noninteracting classical magnetic moments with axially symmetric
5729 magnetic anisotropy. The results are compared with different analytical
5730 expressions used to model the relaxation of nanoparticle ensembles,
5731 assessing their accuracy. It has been found that, among a number
5732 of heuristic expressions for the linear dynamic susceptibility,
5733 only the simple formula proposed by Shliomis and Stepanov matches
5734 the coarse features of the susceptibility reasonably. By comparing
5735 the numerical results with the asymptotic formula of Storonkin {Sov.
5736 Phys. Crystallogr. 30, 489 (1985) [Kristallografiya 30, 841 (1985)]},
5737 the effects of the intra-potential-well relaxation modes on the
5738 low-temperature longitudinal dynamic response have been assessed,
5739 showing their relatively small reflection in the susceptibility
5740 curves but their dramatic influence on the phase shifts. Comparison
5741 of the numerical results with the exact zero-damping expression
5742 for the transverse susceptibility by Garanin, Ishchenko, and Panina
5743 {Theor. Math. Phys. (USSR) 82, 169 (1990) [Teor. Mat. Fit. 82, 242
5744 (1990)]}, reveals a sizable contribution of the spread of the precession
5745 frequencies of the magnetic moment in the anisotropy field to the
5746 dynamic response at intermediate-to-high temperatures. [S0163-1829
5747 (98)00446-9].},
5748 Annote = {146XW Times Cited:66 Cited References Count:45},
5749 Author = {J. L. Garcia-Palacios and F. J. Lazaro},
5750 Issn = {0163-1829},
5751 Journal = {Physical Review B},
5752 Month = {Dec 1},
5753 Number = 22,
5754 Pages = {14937-14958},
5755 Title = {Langevin-dynamics study of the dynamical properties of small magnetic particles},
5756 Uri = {<Go to ISI>://000077460000052},
5757 Volume = 58,
5758 Year = 1998}
5759
5760 @article{Parr1995,
5761 Abstract = {Despite the parsing power of LR/LALR algorithms, e.g. YACC, programmers
5762 often choose to write recursive-descent parsers by hand to obtain
5763 increased flexibility, better error handling, and ease of debugging.
5764 We introduce ANTLR, a public-domain parser generator that combines
5765 the flexibility of hand-coded parsing with the convenience of a
5766 parser generator, which is a component of PCCTS. ANTLR has many
5767 features that make it easier to use than other language tools. Most
5768 important, ANTLR provides predicates which let the programmer systematically
5769 direct the parse via arbitrary expressions using semantic and syntactic
5770 context; in practice, the use of predicates eliminates the need
5771 to hand-tweak the ANTLR output, even for difficult parsing problems.
5772 ANTLR also integrates the description of lexical and syntactic analysis,
5773 accepts LL(k) grammars for k > 1 with extended BNF notation, and
5774 can automatically generate abstract syntax trees. ANTLR is widely
5775 used, with over 1000 registered industrial and academic users in
5776 37 countries. It has been ported to many popular systems such as
5777 the PC, Macintosh, and a variety of UNIX platforms; a commercial
5778 C++ front-end has been developed as a result of one of our industrial
5779 collaborations.},
5780 Annote = {Rk104 Times Cited:19 Cited References Count:10},
5781 Author = {T. J. Parr and R. W. Quong},
5782 Issn = {0038-0644},
5783 Journal = {Software-Practice \& Experience},
5784 Month = {Jul},
5785 Number = 7,
5786 Pages = {789-810},
5787 Title = {Antlr - a Predicated-Ll(K) Parser Generator},
5788 Uri = {<Go to ISI>://A1995RK10400004},
5789 Volume = 25,
5790 Year = 1995}
5791
5792 @article{Pastor1988,
5793 Annote = {T1302 Times Cited:61 Cited References Count:26},
5794 Author = {R. W. Pastor and B. R. Brooks and A. Szabo},
5795 Issn = {0026-8976},
5796 Journal = mp,
5797 Month = {Dec 20},
5798 Number = 6,
5799 Pages = {1409-1419},
5800 Title = {An Analysis of the Accuracy of Langevin and Molecular-Dynamics Algorithms},
5801 Uri = {<Go to ISI>://A1988T130200011},
5802 Volume = 65,
5803 Year = 1988}
5804
5805 @article{Pelzl1999,
5806 Annote = {220RC Times Cited:313 Cited References Count:49},
5807 Author = {G. Pelzl and S. Diele and W. Weissflog},
5808 Issn = {0935-9648},
5809 Journal = {Advanced Materials},
5810 Month = {Jul 5},
5811 Number = 9,
5812 Pages = {707-724},
5813 Title = {Banana-shaped compounds - A new field of liquid crystals},
5814 Uri = {<Go to ISI>://000081680400007},
5815 Volume = 11,
5816 Year = 1999}
5817
5818 @article{Perram1985,
5819 Annote = {Akb93 Times Cited:71 Cited References Count:12},
5820 Author = {J. W. Perram and M. S. Wertheim},
5821 Issn = {0021-9991},
5822 Journal = jcop,
5823 Number = 3,
5824 Pages = {409-416},
5825 Title = {Statistical-Mechanics of Hard Ellipsoids .1. Overlap Algorithm and the Contact Function},
5826 Uri = {<Go to ISI>://A1985AKB9300008},
5827 Volume = 58,
5828 Year = 1985}
5829
5830 @article{Rotne1969,
5831 Author = {F. Perrin},
5832 Journal = {J. Chem. Phys.},
5833 Pages = {4831-4837},
5834 Title = {Variational treatment of hydrodynamic interaction in polymers},
5835 Volume = 50,
5836 Year = 1969}
5837
5838 @article{Perrin1936,
5839 Author = {F. Perrin},
5840 Journal = {J. Phys. Radium},
5841 Pages = {1-11},
5842 Title = {Mouvement brownien d'un ellipsoid(II). Rotation libre et depolarisation des fluorescences. Translation et diffusion de moleculese ellipsoidales},
5843 Volume = 7,
5844 Year = 1936}
5845
5846 @article{Perrin1934,
5847 Author = {F. Perrin},
5848 Journal = {J. Phys. Radium},
5849 Pages = {497-511},
5850 Title = {Mouvement brownien d'un ellipsoid(I). Dispersion dielectrique pour des molecules ellipsoidales},
5851 Volume = 5,
5852 Year = 1934}
5853
5854 @article{Petrache2000,
5855 Author = {H.~I. Petrache and S.~W. Dodd and M.~F. Brown},
5856 Journal = bj,
5857 Pages = {3172-3192},
5858 Title = {Area per Lipid and Acyl Length Distributions in Fluid Phosphatidylcholines Determined by $^2\text{H}$ {\sc nmr} Spectroscopy},
5859 Volume = 79,
5860 Year = 2000}
5861
5862 @article{Petrache1998,
5863 Abstract = {X-ray diffraction data taken at high instrumental resolution were
5864 obtained for EPC and DMPC under various osmotic pressures, primarily
5865 at T = 30 degrees C. The headgroup thickness D-HH was obtained from
5866 relative electron density profiles. By using volumetric results
5867 and by comparing to gel phase DPPC we obtain areas A(EPC)(F) = 69.4
5868 +/- 1.1 Angstrom(2) and A(DMPC)(F) = 59.7 +/- 0.2 Angstrom(2). The
5869 analysis also gives estimates for the areal compressibility K-A.
5870 The A(F) results lead to other structural results regarding membrane
5871 thickness and associated waters. Using the recently determined absolute
5872 electrons density profile of DPPC, the AF results also lead to absolute
5873 electron density profiles and absolute continuous transforms \F(q)\
5874 for EPC and DMPC, Limited measurements of temperature dependence
5875 show directly that fluctuations increase with increasing temperature
5876 and that a small decrease in bending modulus K-c accounts for the
5877 increased water spacing reported by Simon et al. (1995) Biophys.
5878 J. 69, 1473-1483. (C) 1998 Elsevier Science Ireland Ltd. All rights
5879 reserved.},
5880 Annote = {130AT Times Cited:98 Cited References Count:39},
5881 Author = {H. I. Petrache and S. Tristram-Nagle and J. F. Nagle},
5882 Issn = {0009-3084},
5883 Journal = {Chemistry and Physics of Lipids},
5884 Month = {Sep},
5885 Number = 1,
5886 Pages = {83-94},
5887 Title = {Fluid phase structure of EPC and DMPC bilayers},
5888 Uri = {<Go to ISI>://000076497600007},
5889 Volume = 95,
5890 Year = 1998}
5891
5892 @article{Powles1973,
5893 Author = {J.~G. Powles},
5894 Journal = {Advan. Phys.},
5895 Pages = {1-56},
5896 Title = {A general ellipsoid can not always serve as a modle for the rotational diffusion properties of arbitrary shaped rigid molecules},
5897 Volume = 22,
5898 Year = 1973}
5899
5900 @article{Recio2004,
5901 Abstract = {Protein recognition is one of the most challenging and intriguing
5902 problems in structural biology. Despite all the available structural,
5903 sequence and biophysical information about protein-protein complexes,
5904 the physico-chemical patterns, if any, that make a protein surface
5905 likely to be involved in protein-protein interactions, remain elusive.
5906 Here, we apply protein docking simulations and analysis of the interaction
5907 energy landscapes to identify protein-protein interaction sites.
5908 The new protocol for global docking based on multi-start global
5909 energy optimization of an allatom model of the ligand, with detailed
5910 receptor potentials and atomic solvation parameters optimized in
5911 a training set of 24 complexes, explores the conformational space
5912 around the whole receptor without restrictions. The ensembles of
5913 the rigid-body docking solutions generated by the simulations were
5914 subsequently used to project the docking energy landscapes onto
5915 the protein surfaces. We found that highly populated low-energy
5916 regions consistently corresponded to actual binding sites. The procedure
5917 was validated on a test set of 21 known protein-protein complexes
5918 not used in the training set. As much as 81% of the predicted high-propensity
5919 patch residues were located correctly in the native interfaces.
5920 This approach can guide the design of mutations on the surfaces
5921 of proteins, provide geometrical details of a possible interaction,
5922 and help to annotate protein surfaces in structural proteomics.
5923 (C) 2003 Elsevier Ltd. All rights reserved.},
5924 Annote = {763GQ Times Cited:21 Cited References Count:59},
5925 Author = {J. Fernandez-Recio and M. Totrov and R. Abagyan},
5926 Issn = {0022-2836},
5927 Journal = jmb,
5928 Month = {Jan 16},
5929 Number = 3,
5930 Pages = {843-865},
5931 Title = {Identification of protein-protein interaction sites from docking energy landscapes},
5932 Uri = {<Go to ISI>://000188066900016},
5933 Volume = 335,
5934 Year = 2004}
5935
5936 @article{Reddy2006,
5937 Abstract = {An overview on the recent developments in the field of liquid crystalline
5938 bent-core molecules (so-called banana liquid crystals) is given.
5939 After some basic issues, dealing with general aspects of the systematisation
5940 of the mesophases, development of polar order and chirality in this
5941 class of LC systems and explaining some general structure-property
5942 relationships, we focus on fascinating new developments in this
5943 field, such as modulated, undulated and columnar phases, so-called
5944 B7 phases, phase biaxiality, ferroelectric and antiferroelectric
5945 polar order in smectic and columnar phases, amplification and switching
5946 of chirality and the spontaneous formation of superstructural and
5947 supramolecular chirality.},
5948 Annote = {021NS Times Cited:2 Cited References Count:316},
5949 Author = {R. A. Reddy and C. Tschierske},
5950 Issn = {0959-9428},
5951 Journal = {Journal of Materials Chemistry},
5952 Number = 10,
5953 Pages = {907-961},
5954 Title = {Bent-core liquid crystals: polar order, superstructural chirality and spontaneous desymmetrisation in soft matter systems},
5955 Uri = {<Go to ISI>://000235990500001},
5956 Volume = 16,
5957 Year = 2006}
5958
5959 @article{Reich1999,
5960 Abstract = {Backward error analysis has become an important tool for understanding
5961 the long time behavior of numerical integration methods. This is
5962 true in particular for the integration of Hamiltonian systems where
5963 backward error analysis can be used to show that a symplectic method
5964 will conserve energy over exponentially long periods of time. Such
5965 results are typically based on two aspects of backward error analysis:
5966 (i) It can be shown that the modified vector fields have some qualitative
5967 properties which they share with the given problem and (ii) an estimate
5968 is given for the difference between the best interpolating vector
5969 field and the numerical method. These aspects have been investigated
5970 recently, for example, by Benettin and Giorgilli in [J. Statist.
5971 Phys., 74 (1994), pp. 1117-1143], by Hairer in [Ann. Numer. Math.,
5972 1 (1994), pp. 107-132], and by Hairer and Lubich in [Numer. Math.,
5973 76 (1997), pp. 441-462]. In this paper we aim at providing a unifying
5974 framework and a simplification of the existing results and corresponding
5975 proofs. Our approach to backward error analysis is based on a simple
5976 recursive definition of the modified vector fields that does not
5977 require explicit Taylor series expansion of the numerical method
5978 and the corresponding flow maps as in the above-cited works. As
5979 an application we discuss the long time integration of chaotic Hamiltonian
5980 systems and the approximation of time averages along numerically
5981 computed trajectories.},
5982 Annote = {237HV Times Cited:43 Cited References Count:41},
5983 Author = {S. Reich},
5984 Issn = {0036-1429},
5985 Journal = {Siam Journal on Numerical Analysis},
5986 Month = {Sep 8},
5987 Number = 5,
5988 Pages = {1549-1570},
5989 Title = {Backward error analysis for numerical integrators},
5990 Uri = {<Go to ISI>://000082650600010},
5991 Volume = 36,
5992 Year = 1999}
5993
5994 @article{Ros2005,
5995 Abstract = {The recent literature in the field of liquid crystals shows that banana-shaped
5996 mesogenic materials represent a bewitching and stimulating field
5997 of research that is interesting both academically and in terms of
5998 applications. Numerous topics are open to investigation in this
5999 area because of the rich phenomenology and new possibilities that
6000 these materials offer. The principal concepts in this area are reviewed
6001 along with recent results. In addition, new directions to stimulate
6002 further research activities are highlighted.},
6003 Annote = {990XA Times Cited:3 Cited References Count:72},
6004 Author = {M. B. Ros and J. L. Serrano and M. R. {de la Fuente} and C. L. Folcia},
6005 Issn = {0959-9428},
6006 Journal = {Journal of Materials Chemistry},
6007 Number = 48,
6008 Pages = {5093-5098},
6009 Title = {Banana-shaped liquid crystals: a new field to explore},
6010 Uri = {<Go to ISI>://000233775500001},
6011 Volume = 15,
6012 Year = 2005}
6013
6014 @article{Roux1991,
6015 Abstract = {The mobility of water, Na+. and K+ has been calculated inside a periodic
6016 poly-(L,D)-alanine beta-helix, a model for the interior of the gramicidin
6017 channel. Because of the different dynamical regimes for the three
6018 species (high barrier for Na+, low barrier for K+, almost free diffusion
6019 for water), different methods are used to calculate the mobilities.
6020 By use of activated dynamics and a potential of mean force determined
6021 previously (Roux, B.; Karplus, M. Biophys. J. 1991, 59, 961), the
6022 barrier crossing rate of Na+ ion is determined. The motion of Na+
6023 at the transition state is controlled by local interactions and
6024 collisions with the neighboring carbonyls and the two nearest water
6025 molecules. There are significant deviations from transition-state
6026 theory; the transmission coefficient is equal to 0.11. The water
6027 and K+ motions are found to be well described by a diffusive model;
6028 the motion of K+ appears to be controlled by the diffusion of water.
6029 The time-dependent friction functions of Na+ and K+ ions in the
6030 periodic beta-helix are calculated and analyzed by using a generalized
6031 Langevin equation approach. Both Na+ and K+ suffer many rapid collisions,
6032 and their dynamics is overdamped and noninertial. Thus, the selectivity
6033 sequence of ions in the beta-helix is not influenced strongly by
6034 their masses.},
6035 Annote = {Fr756 Times Cited:97 Cited References Count:65},
6036 Author = {B. Roux and M. Karplus},
6037 Issn = {0022-3654},
6038 Journal = {Journal of Physical Chemistry},
6039 Month = {Jun 13},
6040 Number = 12,
6041 Pages = {4856-4868},
6042 Title = {Ion-Transport in a Gramicidin-Like Channel - Dynamics and Mobility},
6043 Uri = {<Go to ISI>://A1991FR75600049},
6044 Volume = 95,
6045 Year = 1991}
6046
6047 @article{Roy2005,
6048 Abstract = {A vast majority of compounds with bent core or banana shaped molecules
6049 exhibit the phase sequence B-6-B-1-B-2 as the chain length is increased
6050 in a homologous series. The B-6 phase has an intercalated fluid
6051 lamellar structure with a layer spacing of half the molecular length.
6052 The B-1 phase has a two dimensionally periodic rectangular columnar
6053 structure. The B-2 phase has a monolayer fluid lamellar structure
6054 with molecules tilted with respect to the layer normal. Neglecting
6055 the tilt order of the molecules in the B-2 phase, we have developed
6056 a frustrated packing model to describe this phase sequence qualitatively.
6057 The model has some analogy with that of the frustrated smectics
6058 exhibited by highly polar rod like molecules.},
6059 Annote = {985FW Times Cited:0 Cited References Count:30},
6060 Author = {A. Roy and N. V. Madhusudana},
6061 Issn = {1292-8941},
6062 Journal = {European Physical Journal E},
6063 Month = {Nov},
6064 Number = 3,
6065 Pages = {253-258},
6066 Title = {A frustrated packing model for the B-6-B-1-SmAP(A) sequence of phases in banana shaped molecules},
6067 Uri = {<Go to ISI>://000233363300002},
6068 Volume = 18,
6069 Year = 2005}
6070
6071 @article{Ryckaert1977,
6072 Annote = {Cz253 Times Cited:3680 Cited References Count:7},
6073 Author = {J. P. Ryckaert and G. Ciccotti and H. J. C. Berendsen},
6074 Issn = {0021-9991},
6075 Journal = jcop,
6076 Number = 3,
6077 Pages = {327-341},
6078 Title = {Numerical-Integration of Cartesian Equations of Motion of a System with Constraints - Molecular-Dynamics of N-Alkanes},
6079 Uri = {<Go to ISI>://A1977CZ25300007},
6080 Volume = 23,
6081 Year = 1977}
6082
6083 @article{Sagui1999,
6084 Abstract = {Current computer simulations of biomolecules typically make use of
6085 classical molecular dynamics methods, as a very large number (tens
6086 to hundreds of thousands) of atoms are involved over timescales
6087 of many nanoseconds. The methodology for treating short-range bonded
6088 and van der Waals interactions has matured. However, long-range
6089 electrostatic interactions still represent a bottleneck in simulations.
6090 In this article, we introduce the basic issues for an accurate representation
6091 of the relevant electrostatic interactions. In spite of the huge
6092 computational time demanded by most biomolecular systems, it is
6093 no longer necessary to resort to uncontrolled approximations such
6094 as the use of cutoffs. In particular, we discuss the Ewald summation
6095 methods, the fast particle mesh methods, and the fast multipole
6096 methods. We also review recent efforts to understand the role of
6097 boundary conditions in systems with long-range interactions, and
6098 conclude with a short perspective on future trends.},
6099 Annote = {213KJ Times Cited:126 Cited References Count:73},
6100 Author = {C. Sagui and T. A. Darden},
6101 Issn = {1056-8700},
6102 Journal = {Annual Review of Biophysics and Biomolecular Structure},
6103 Pages = {155-179},
6104 Title = {Molecular dynamics simulations of biomolecules: Long-range electrostatic effects},
6105 Uri = {<Go to ISI>://000081271400008},
6106 Volume = 28,
6107 Year = 1999}
6108
6109 @article{Sandu1999,
6110 Abstract = {Numerical resonance artifacts have become recognized recently as a
6111 limiting factor to increasing the timestep in multiple-timestep
6112 (MTS) biomolecular dynamics simulations. At certain timesteps correlated
6113 to internal motions (e.g., 5 fs, around half the period of the fastest
6114 bond stretch, T-min), visible inaccuracies or instabilities can
6115 occur. Impulse-MTS schemes are vulnerable to these resonance errors
6116 since large energy pulses are introduced to the governing dynamics
6117 equations when the slow forces are evaluated. We recently showed
6118 that such resonance artifacts can be masked significantly by applying
6119 extrapolative splitting to stochastic dynamics. Theoretical and
6120 numerical analyses of force-splitting integrators based on the Verlet
6121 discretization are reported here for linear models to explain these
6122 observations and to suggest how to construct effective integrators
6123 for biomolecular dynamics that balance stability with accuracy.
6124 Analyses for Newtonian dynamics demonstrate the severe resonance
6125 patterns of the Impulse splitting, with this severity worsening
6126 with the outer timestep. Delta t: Constant Extrapolation is generally
6127 unstable, but the disturbances do not grow with Delta t. Thus. the
6128 stochastic extrapolative combination can counteract generic instabilities
6129 and largely alleviate resonances with a sufficiently strong Langevin
6130 heat-bath coupling (gamma), estimates for which are derived here
6131 based on the fastest and slowest motion periods. These resonance
6132 results generally hold for nonlinear test systems: a water tetramer
6133 and solvated protein. Proposed related approaches such as Extrapolation/Correction
6134 and Midpoint Extrapolation work better than Constant Extrapolation
6135 only for timesteps less than T-min/2. An effective extrapolative
6136 stochastic approach for biomolecules that balances long-timestep
6137 stability with good accuracy for the fast subsystem is then applied
6138 to a biomolecule using a three-class partitioning: the medium forces
6139 are treated by Midpoint Extrapolation via position Verlet, and the
6140 slow forces are incorporated by Constant Extrapolation. The resulting
6141 algorithm (LN) performs well on a solvated protein system in terms
6142 of thermodynamic properties and yields an order of magnitude speedup
6143 with respect to single-timestep Langevin trajectories. Computed
6144 spectral density functions also show how the Newtonian modes can
6145 be approximated by using a small gamma in the range Of 5-20 ps(-1).
6146 (C) 1999 Academic Press.},
6147 Annote = {194FM Times Cited:14 Cited References Count:32},
6148 Author = {A. Sandu and T. Schlick},
6149 Issn = {0021-9991},
6150 Journal = jcop,
6151 Month = {May 1},
6152 Number = 1,
6153 Pages = {74-113},
6154 Title = {Masking resonance artifacts in force-splitting methods for biomolecular simulations by extrapolative Langevin dynamics},
6155 Uri = {<Go to ISI>://000080181500004},
6156 Volume = 151,
6157 Year = 1999}
6158
6159 @article{Sasaki2004,
6160 Abstract = {Tris(2-aminoethyl) amine derivatives with appended urea and sulfonamide
6161 groups are shown to facilitate the translocation of fluorescent
6162 phospholipid probes and endogenous phosphatidylserine across vesicle
6163 and erythrocyte cell membranes. The synthetic translocases appear
6164 to operate by binding to the phospholipid head groups and forming
6165 lipophilic supramolecular complexes which diffuse through the non-polar
6166 interior of the bilayer membrane.},
6167 Annote = {760PX Times Cited:8 Cited References Count:25},
6168 Author = {Y. Sasaki and R. Shukla and B. D. Smith},
6169 Issn = {1477-0520},
6170 Journal = {Organic \& Biomolecular Chemistry},
6171 Number = 2,
6172 Pages = {214-219},
6173 Title = {Facilitated phosphatidylserine flip-flop across vesicle and cell membranes using urea-derived synthetic translocases},
6174 Uri = {<Go to ISI>://000187843800012},
6175 Volume = 2,
6176 Year = 2004}
6177
6178 @article{Satoh1996,
6179 Abstract = {The effects of dipole-dipole interaction on mesophase formation are
6180 investigated with a Monte Carlo simulation using the dipolar Gay-Berne
6181 potential. It is shown that the dipole moment at the end of a molecule
6182 causes a shift in the nematic-isotropic transition toward higher
6183 temperature and a spread of the temperature range of the nematic
6184 phase and that layer structures with various interdigitations are
6185 formed in the smectic phase.},
6186 Annote = {Uq975 Times Cited:32 Cited References Count:33},
6187 Author = {K. Satoh and S. Mita and S. Kondo},
6188 Issn = {0009-2614},
6189 Journal = {Chemical Physics Letters},
6190 Month = {Jun 7},
6191 Number = {1-3},
6192 Pages = {99-104},
6193 Title = {Monte Carlo simulations using the dipolar Gay-Berne model: Effect of terminal dipole moment on mesophase formation},
6194 Uri = {<Go to ISI>://A1996UQ97500017},
6195 Volume = 255,
6196 Year = 1996}
6197
6198 @article{Schaps1999,
6199 Annote = {163EC Times Cited:0 Cited References Count:0},
6200 Author = {G. L. Schaps},
6201 Issn = {1044-789X},
6202 Journal = {Dr Dobbs Journal},
6203 Month = {Mar},
6204 Number = 3,
6205 Pages = {84-+},
6206 Title = {Compiler construction with ANTLR and Java - Tools for building tools},
6207 Uri = {<Go to ISI>://000078389200023},
6208 Volume = 24,
6209 Year = 1999}
6210
6211 @article{Shen2002,
6212 Abstract = {Met-enkephalin is one of the smallest opiate peptides. Yet, its dynamical
6213 structure and receptor docking mechanism are still not well understood.
6214 The conformational dynamics of this neuron peptide in liquid water
6215 are studied here by using all-atom molecular dynamics (MID) and
6216 implicit water Langevin dynamics (LD) simulations with AMBER potential
6217 functions and the three-site transferable intermolecular potential
6218 (TIP3P) model for water. To achieve the same simulation length in
6219 physical time, the full MID simulations require 200 times as much
6220 CPU time as the implicit water LID simulations. The solvent hydrophobicity
6221 and dielectric behavior are treated in the implicit solvent LD simulations
6222 by using a macroscopic solvation potential, a single dielectric
6223 constant, and atomic friction coefficients computed using the accessible
6224 surface area method with the TIP3P model water viscosity as determined
6225 here from MID simulations for pure TIP3P water. Both the local and
6226 the global dynamics obtained from the implicit solvent LD simulations
6227 agree very well with those from the explicit solvent MD simulations.
6228 The simulations provide insights into the conformational restrictions
6229 that are associated with the bioactivity of the opiate peptide dermorphin
6230 for the delta-receptor.},
6231 Annote = {540MH Times Cited:36 Cited References Count:45},
6232 Author = {M. Y. Shen and K. F. Freed},
6233 Issn = {0006-3495},
6234 Journal = bj,
6235 Month = {Apr},
6236 Number = 4,
6237 Pages = {1791-1808},
6238 Title = {Long time dynamics of met-enkephalin: Comparison of explicit and implicit solvent models},
6239 Uri = {<Go to ISI>://000174932400010},
6240 Volume = 82,
6241 Year = 2002}
6242
6243 @article{Shillcock2005,
6244 Annote = {901QJ Times Cited:9 Cited References Count:23},
6245 Author = {J. C. Shillcock and R. Lipowsky},
6246 Issn = {1476-1122},
6247 Journal = {Nature Materials},
6248 Month = {Mar},
6249 Number = 3,
6250 Pages = {225-228},
6251 Title = {Tension-induced fusion of bilayer membranes and vesicles},
6252 Uri = {<Go to ISI>://000227296700019},
6253 Volume = 4,
6254 Year = 2005}
6255
6256 @article{Shimada1993,
6257 Abstract = {To make improved treatments of electrostatic interactions in biomacromolecular
6258 simulations, two possibilities are considered. The first is the
6259 famous particle-particle and particle-mesh (PPPM) method developed
6260 by Hockney and Eastwood, and the second is a new one developed here
6261 in their spirit but by the use of the multipole expansion technique
6262 suggested by Ladd. It is then numerically found that the new PPPM
6263 method gives more accurate results for a two-particle system at
6264 small separation of particles. Preliminary numerical examination
6265 of the various computational methods for a single configuration
6266 of a model BPTI-water system containing about 24,000 particles indicates
6267 that both of the PPPM methods give far more accurate values with
6268 reasonable computational cost than do the conventional truncation
6269 methods. It is concluded the two PPPM methods are nearly comparable
6270 in overall performance for the many-particle systems, although the
6271 first method has the drawback that the accuracy in the total electrostatic
6272 energy is not high for configurations of charged particles randomly
6273 generated.},
6274 Annote = {Lh164 Times Cited:27 Cited References Count:47},
6275 Author = {J. Shimada and H. Kaneko and T. Takada},
6276 Issn = {0192-8651},
6277 Journal = jcc,
6278 Month = {Jul},
6279 Number = 7,
6280 Pages = {867-878},
6281 Title = {Efficient Calculations of Coulombic Interactions in Biomolecular Simulations with Periodic Boundary-Conditions},
6282 Uri = {<Go to ISI>://A1993LH16400011},
6283 Volume = 14,
6284 Year = 1993}
6285
6286 @article{Skeel2002,
6287 Abstract = {The best simple method for Newtonian molecular dynamics is indisputably
6288 the leapfrog Stormer-Verlet method. The appropriate generalization
6289 to simple Langevin dynamics is unclear. An analysis is presented
6290 comparing an 'impulse method' (kick; fluctuate; kick), the 1982
6291 method of van Gunsteren and Berendsen, and the Brunger-Brooks-Karplus
6292 (BBK) method. It is shown how the impulse method and the van Gunsteren-Berendsen
6293 methods can be implemented as efficiently as the BBK method. Other
6294 considerations suggest that the impulse method is the best basic
6295 method for simple Langevin dynamics, with the van Gunsteren-Berendsen
6296 method a close contender.},
6297 Annote = {633RX Times Cited:8 Cited References Count:22},
6298 Author = {R. D. Skeel and J. A. Izaguirre},
6299 Issn = {0026-8976},
6300 Journal = mp,
6301 Month = {Dec 20},
6302 Number = 24,
6303 Pages = {3885-3891},
6304 Title = {An impulse integrator for Langevin dynamics},
6305 Uri = {<Go to ISI>://000180297200014},
6306 Volume = 100,
6307 Year = 2002}
6308
6309 @article{Skeel1997,
6310 Abstract = {The following integration methods for special second-order ordinary
6311 differential equations are studied: leapfrog, implicit midpoint,
6312 trapezoid, Stormer-Verlet, and Cowell-Numerov. We show that all
6313 are members, or equivalent to members, of a one-parameter family
6314 of schemes. Some methods have more than one common form, and we
6315 discuss a systematic enumeration of these forms. We also present
6316 a stability and accuracy analysis based on the idea of ''modified
6317 equations'' and a proof of symplecticness. It follows that Cowell-Numerov
6318 and ''LIM2'' (a method proposed by Zhang and Schlick) are symplectic.
6319 A different interpretation of the values used by these integrators
6320 leads to higher accuracy and better energy conservation. Hence,
6321 we suggest that the straightforward analysis of energy conservation
6322 is misleading.},
6323 Annote = {We981 Times Cited:30 Cited References Count:35},
6324 Author = {R. D. Skeel and G. H. Zhang and T. Schlick},
6325 Issn = {1064-8275},
6326 Journal = {Siam Journal on Scientific Computing},
6327 Month = {Jan},
6328 Number = 1,
6329 Pages = {203-222},
6330 Title = {A family of symplectic integrators: Stability, accuracy, and molecular dynamics applications},
6331 Uri = {<Go to ISI>://A1997WE98100012},
6332 Volume = 18,
6333 Year = 1997}
6334
6335 @article{Tao2005,
6336 Abstract = {Recently a microscopic theory for the dynamics of suspensions of long
6337 thin rigid rods was presented, confirming and expanding the well-known
6338 theory by Doi and Edwards [The Theory of Polymer Dynamics (Clarendon,
6339 Oxford, 1986)] and Kuzuu [J. Phys. Soc. Jpn. 52, 3486 (1983)]. Here
6340 this theory is put to the test by comparing it against computer
6341 simulations. A Brownian dynamics simulation program was developed
6342 to follow the dynamics of the rods, with a length over a diameter
6343 ratio of 60, on the Smoluchowski time scale. The model accounts
6344 for excluded volume interactions between rods, but neglects hydrodynamic
6345 interactions. The self-rotational diffusion coefficients D-r(phi)
6346 of the rods were calculated by standard methods and by a new, more
6347 efficient method based on calculating average restoring torques.
6348 Collective decay of orientational order was calculated by means
6349 of equilibrium and nonequilibrium simulations. Our results show
6350 that, for the currently accessible volume fractions, the decay times
6351 in both cases are virtually identical. Moreover, the observed decay
6352 of diffusion coefficients with volume fraction is much quicker than
6353 predicted by the theory, which is attributed to an oversimplification
6354 of dynamic correlations in the theory. (c) 2005 American Institute
6355 of Physics.},
6356 Annote = {943DN Times Cited:3 Cited References Count:26},
6357 Author = {Y. G. Tao and W. K. {den Otter} and J. T. Padding and J. K. G. Dhont and W. J. Briels},
6358 Issn = {0021-9606},
6359 Journal = jcp,
6360 Month = {Jun 22},
6361 Number = 24,
6362 Pages = {-},
6363 Title = {Brownian dynamics simulations of the self- and collective rotational diffusion coefficients of rigid long thin rods},
6364 Uri = {<Go to ISI>://000230332400077},
6365 Volume = 122,
6366 Year = 2005}
6367
6368 @book{Tolman1979,
6369 Address = {New York},
6370 Author = {R.~C. Tolman},
6371 Chapter = 2,
6372 Pages = {19-22},
6373 Publisher = {Dover Publications, Inc.},
6374 Title = {The Principles of Statistical Mechanics},
6375 Year = 1979}
6376
6377 @article{Tu1995,
6378 Abstract = {We report a constant pressure and temperature molecular dynamics simulation
6379 of a fully hydrated liquid crystal (L(alpha) phase bilayer of dipalmitoylphosphatidylcholine
6380 at 50 degrees C and 28 water molecules/lipid. We have shown that
6381 the bilayer is stable throughout the 1550-ps simulation and have
6382 demonstrated convergence of the system dimensions. Several important
6383 aspects of the bilayer structure have been investigated and compared
6384 favorably with experimental results. For example, the average positions
6385 of specific carbon atoms along the bilayer normal agree well with
6386 neutron diffraction data, and the electron density profile is in
6387 accord with x-ray diffraction results. The hydrocarbon chain deuterium
6388 order parameters agree reasonably well with NMR results for the
6389 middles of the chains, but the simulation predicts too much order
6390 at the chain ends. In spite of the deviations in the order parameters,
6391 the hydrocarbon chain packing density appears to be essentially
6392 correct, inasmuch as the area/lipid and bilayer thickness are in
6393 agreement with the most refined experimental estimates. The deuterium
6394 order parameters for the glycerol and choline groups, as well as
6395 the phosphorus chemical shift anisotropy, are in qualitative agreement
6396 with those extracted from NMR measurements.},
6397 Annote = {Tv018 Times Cited:108 Cited References Count:34},
6398 Author = {K. Tu and D. J. Tobias and M. L. Klein},
6399 Issn = {0006-3495},
6400 Journal = bj,
6401 Month = {Dec},
6402 Number = 6,
6403 Pages = {2558-2562},
6404 Title = {Constant pressure and temperature molecular dynamics simulation of a fully hydrated liquid crystal phase dipalmitoylphosphatidylcholine bilayer},
6405 Uri = {<Go to ISI>://A1995TV01800037},
6406 Volume = 69,
6407 Year = 1995}
6408
6409 @article{Tuckerman1992,
6410 Abstract = {The Trotter factorization of the Liouville propagator is used to generate
6411 new reversible molecular dynamics integrators. This strategy is
6412 applied to derive reversible reference system propagator algorithms
6413 (RESPA) that greatly accelerate simulations of systems with a separation
6414 of time scales or with long range forces. The new algorithms have
6415 all of the advantages of previous RESPA integrators but are reversible,
6416 and more stable than those methods. These methods are applied to
6417 a set of paradigmatic systems and are shown to be superior to earlier
6418 methods. It is shown how the new RESPA methods are related to predictor-corrector
6419 integrators. Finally, we show how these methods can be used to accelerate
6420 the integration of the equations of motion of systems with Nose
6421 thermostats.},
6422 Annote = {Je891 Times Cited:680 Cited References Count:19},
6423 Author = {M. Tuckerman and B. J. Berne and G. J. Martyna},
6424 Issn = {0021-9606},
6425 Journal = jcp,
6426 Month = {Aug 1},
6427 Number = 3,
6428 Pages = {1990-2001},
6429 Title = {Reversible Multiple Time Scale Molecular-Dynamics},
6430 Uri = {<Go to ISI>://A1992JE89100044},
6431 Volume = 97,
6432 Year = 1992}
6433
6434 @book{Varadarajan1974,
6435 Address = {New York},
6436 Author = {V.S. Varadarajan},
6437 Publisher = {Prentice-Hall},
6438 Title = {Lie groups, Lie algebras, and their representations},
6439 Year = 1974}
6440
6441 @article{Vincent1995,
6442 Abstract = {We have implemented a portable parallel version of the macromolecular
6443 modeling package AMBER4. The message passing paradigm was used.
6444 All message passing constructs are compliant with the Message Passing
6445 Interface (MPI) standard. The molecular dynamics/minimization module
6446 MINMD and the free-energy perturbation module Gibbs have been implemented
6447 in parallel on a number of machines, including a Gray T3D, an IBM
6448 SP1/SP2, and a collection of networked workstations. In addition,
6449 the code has been tested with an MPI implementation from Argonne
6450 National Laboratories/Mississippi State University which runs on
6451 many parallel machines. The goal of this work is to decrease the
6452 amount of time required to perform molecular dynamics simulations.
6453 Performance results for a Lipid bilayer molecular dynamics simulation
6454 on a Gray T3D, an IBM SP1/SPZ and a Gray C90 are compared. (C) 1995
6455 by John Wiley & Sons, Inc.},
6456 Annote = {Ta403 Times Cited:16 Cited References Count:23},
6457 Author = {J. J. Vincent and K. M. Merz},
6458 Issn = {0192-8651},
6459 Journal = jcc,
6460 Month = {Nov},
6461 Number = 11,
6462 Pages = {1420-1427},
6463 Title = {A Highly Portable Parallel Implementation of Amber4 Using the Message-Passing Interface Standard},
6464 Uri = {<Go to ISI>://A1995TA40300009},
6465 Volume = 16,
6466 Year = 1995}
6467
6468 @article{Wegener1979,
6469 Author = {W.~A. Wegener, V.~J. Koester and R.~M. Dowben},
6470 Journal = {Proc. Natl. Acad. Sci.},
6471 Number = 12,
6472 Pages = {6356-6360},
6473 Title = {A general ellipsoid can not always serve as a modle for the rotational diffusion properties of arbitrary shaped rigid molecules},
6474 Volume = 76,
6475 Year = 1979}
6476
6477 @article{Wilson2006,
6478 Author = {G.~V. Wilson},
6479 Journal = {American Scientist},
6480 Title = {Where's the Real Bottleneck in Scientific Computing?},
6481 Volume = 94,
6482 Year = 2006}
6483
6484 @article{Withers2003,
6485 Abstract = {The effects of longitudinal quadrupole moments on the formation of
6486 liquid crystalline phases are studied by means of constant NPT Monte
6487 Carlo simulation methods. The popular Gay-Berne model mesogen is
6488 used as the reference fluid, which displays the phase sequences
6489 isotropic-smectic A-smectic B and isotropic-smectic B at high (T*=2.0)
6490 and low (T*=1.5) temperatures, respectively. With increasing quadrupole
6491 magnitude the smectic phases are observed to be stabilized with
6492 respect to the isotropic liquid, while the smectic B is destabilized
6493 with respect to the smectic A. At the lower temperature, a sufficiently
6494 large quadrupole magnitude results in the injection of the smectic
6495 A phase into the phase sequence and the replacement of the smectic
6496 B phase by the tilted smectic J phase. The nematic phase is also
6497 injected into the phase sequence at both temperatures considered,
6498 and ultimately for sufficiently large quadrupole magnitudes no coherent
6499 layered structures were observed. The stabilization of the smectic
6500 A phase supports the commonly held belief that, while the inclusion
6501 of polar groups is not a prerequisite for the formation of the smectic
6502 A phase, quadrupolar interactions help to increase the temperature
6503 and pressure range for which the smectic A phase is observed. The
6504 quality of the layered structure is worsened with increasing quadrupole
6505 magnitude. This behavior, along with the injection of the nematic
6506 phase into the phase sequence, indicate that the general tendency
6507 of the quadrupolar interactions is to destabilize the layered structure.
6508 A pressure dependence upon the smectic layer spacing is observed.
6509 This behavior is in much closer agreement with experimental findings
6510 than has been observed previously for nonpolar Gay-Berne and hard
6511 spherocylinder models. (C) 2003 American Institute of Physics.},
6512 Annote = {738EF Times Cited:3 Cited References Count:43},
6513 Author = {I. M. Withers},
6514 Issn = {0021-9606},
6515 Journal = jcp,
6516 Month = {Nov 15},
6517 Number = 19,
6518 Pages = {10209-10223},
6519 Title = {Effects of longitudinal quadrupoles on the phase behavior of a Gay-Berne fluid},
6520 Uri = {<Go to ISI>://000186273200027},
6521 Volume = 119,
6522 Year = 2003}
6523
6524 @article{Wolf1999,
6525 Abstract = {Based on a recent result showing that the net Coulomb potential in
6526 condensed ionic systems is rather short ranged, an exact and physically
6527 transparent method permitting the evaluation of the Coulomb potential
6528 by direct summation over the r(-1) Coulomb pair potential is presented.
6529 The key observation is that the problems encountered in determining
6530 the Coulomb energy by pairwise, spherically truncated r(-1) summation
6531 are a direct consequence of the fact that the system summed over
6532 is practically never neutral. A simple method is developed that
6533 achieves charge neutralization wherever the r(-1) pair potential
6534 is truncated. This enables the extraction of the Coulomb energy,
6535 forces, and stresses from a spherically truncated, usually charged
6536 environment in a manner that is independent of the grouping of the
6537 pair terms. The close connection of our approach with the Ewald
6538 method is demonstrated and exploited, providing an efficient method
6539 for the simulation of even highly disordered ionic systems by direct,
6540 pairwise r(-1) summation with spherical truncation at rather short
6541 range, i.e., a method which fully exploits the short-ranged nature
6542 of the interactions in ionic systems. The method is validated by
6543 simulations of crystals, liquids, and interfacial systems, such
6544 as free surfaces and grain boundaries. (C) 1999 American Institute
6545 of Physics. [S0021-9606(99)51517-1].},
6546 Annote = {189PD Times Cited:70 Cited References Count:34},
6547 Author = {D. Wolf and P. Keblinski and S. R. Phillpot and J. Eggebrecht},
6548 Issn = {0021-9606},
6549 Journal = jcp,
6550 Month = {May 1},
6551 Number = 17,
6552 Pages = {8254-8282},
6553 Title = {Exact method for the simulation of Coulombic systems by spherically truncated, pairwise r(-1) summation},
6554 Uri = {<Go to ISI>://000079913000008},
6555 Volume = 110,
6556 Year = 1999}
6557
6558 @article{Yoshida1990,
6559 Annote = {Ej798 Times Cited:492 Cited References Count:9},
6560 Author = {H. Yoshida},
6561 Issn = {0375-9601},
6562 Journal = {Physics Letters A},
6563 Month = {Nov 12},
6564 Number = {5-7},
6565 Pages = {262-268},
6566 Title = {Construction of Higher-Order Symplectic Integrators},
6567 Uri = {<Go to ISI>://A1990EJ79800009},
6568 Volume = 150,
6569 Year = 1990}
6570
6571 @article{Blum1972,
6572 Author = {L. Blum and A.~J. Torruella},
6573 Journal = jcp,
6574 Number = 1,
6575 Pages = {303-309},
6576 Title = {Computer simulations of bilayer membranes: Self-assembly and interfacial tension},
6577 Volume = 56,
6578 Year = 1972}
6579
6580 @article{Stone1978,
6581 Author = {A.~J. Stone},
6582 Journal = mp,
6583 Number = 1,
6584 Pages = {241-256},
6585 Title = {The description of bimolecular potentials, forces and torques: the S and V function expansions},
6586 Volume = 36,
6587 Year = 1978}
6588
6589 @article{Berardi2003,
6590 Author = {R. Berardi, M. Cecchini and C. Zannoni},
6591 Journal = jcp,
6592 Number = 18,
6593 Pages = {9933-9946},
6594 Title = {A Monte Carlo study of the chiral columnar organizations of dissymmetric discotic mesogens},
6595 Volume = 119,
6596 Year = 2003}
6597
6598 @article{Beard2000,
6599 Author = {D. A. Beard and T. Schlick},
6600 Journal = jcp,
6601 Number = 17,
6602 Pages = {7313-7322},
6603 Title = {Inertial Stochastic Dynamics. I. Long-time-step Methods for Langevin Dynamics},
6604 Volume = 112,
6605 Year = 2000}
6606
6607 @book{Hirsch1997,
6608 Address = {New York},
6609 Author = {M.W. Hirsch},
6610 Publisher = {Springer},
6611 Title = {Differential Topology},
6612 Year = 1997}
6613
6614 @book{Jost2002,
6615 Address = {Berlin},
6616 Author = {J. Jost},
6617 Publisher = {Springer-Verlag},
6618 Title = {Riemannian Geometry and Geometric Analysis},
6619 Year = 2002}
6620
6621 @book{McDuff1998,
6622 Address = {Oxford},
6623 Author = {D. McDuff and D. Salamon},
6624 Publisher = {Oxford Mathematical Monographs},
6625 Title = {Introduction to Symplectic Topology},
6626 Year = 1998}
6627
6628 @article{Matubayasi1999,
6629 Author = {N. Matubayasi and M. Nakahara},
6630 Journal = jcp,
6631 Number = 7,
6632 Pages = {3291-3301},
6633 Title = {Reversible molecular dynamics for rigid bodies and hybrid Monte Carlo},
6634 Volume = 110,
6635 Year = 1999}
6636
6637 @article{Miller2002,
6638 Author = {T.F. Miller III, M. Eleftheriou},
6639 Journal = jcp,
6640 Number = 20,
6641 Pages = {8649-8659},
6642 Title = {Symplectic quaternion scheme for biophysical molecular dynamics},
6643 Volume = 116,
6644 Year = 1999}
6645
6646 @article{McMillan1971,
6647 Author = {W.L. McMillan},
6648 Journal = jcp,
6649 Number = 3,
6650 Pages = {1238-1246},
6651 Title = {Simple Molecular Model for the Smectic A Phase of Liquid Crystals},
6652 Volume = 4,
6653 Year = 1971}
6654
6655 @article{Gilmore1974,
6656 Author = {R. Gilmore},
6657 Journal = {Journal of Mathematical Physics},
6658 Number = 12,
6659 Pages = {2090-2092},
6660 Title = {Baker-Campbell-Hausdorff Formulas},
6661 Volume = 15,
6662 Year = 1974}
6663
6664 @article{Strang1968,
6665 Author = {G. Strang},
6666 Journal = {SIAM Journal on Numerical Analysis},
6667 Number = 3,
6668 Pages = {506-517},
6669 Title = {On the construction and comparision of difference schemes},
6670 Volume = 5,
6671 Year = 1968}
6672
6673 @article{Trotter1959,
6674 Author = {H.F. Trotter},
6675 Journal = {SIAM Journal on Numerical Analysis},
6676 Number = 14,
6677 Pages = {545-551},
6678 Title = {On the product of semi-groups of operators},
6679 Volume = 10,
6680 Year = 1959}
6681
6682 @article{Cartwright1992,
6683 Author = {J.H.E. Cartwright and O. Piro},
6684 Journal = {International Journal of Bifurcation and Chaos},
6685 Number = 3,
6686 Pages = {427-449},
6687 Title = {The Dynamics of Runge-Kutta Methods},
6688 Volume = 2,
6689 Year = 1992}
6690
6691 @article{HuseyinKaya07012005,
6692 Abstract = {It has been demonstrated that a "near-Levinthal" cooperative mechanism, whereby the common G[o] interaction scheme is augmented by an extra favorability for the native state as a whole, can lead to apparent two-state folding/unfolding kinetics over a broad range of native stabilities in lattice models of proteins. Here such a mechanism is shown to be generalizable to a simplified continuum (off-lattice) Langevin dynamics model with a C{alpha} protein chain representation, with the resulting chevron plots exhibiting an extended quasilinear regime reminiscent of that of apparent two-state real proteins. Similarly high degrees of cooperativity are possible in G[o]-like continuum models with rudimentary pairwise desolvation barriers as well. In these models, cooperativity increases with increasing desolvation barrier height, suggesting strongly that two-state-like folding/unfolding kinetics would be achievable when the pairwise desolvation barrier becomes sufficiently high. Besides cooperativity, another generic folding property of interest that has emerged from published experiments on several apparent two-state proteins is that their folding relaxation under constant native stability (isostability) conditions is essentially Arrhenius, entailing high intrinsic enthalpic folding barriers of [~]17-30 kcal/mol. Based on a new analysis of published data on barnase, here we propose that a similar property should also apply to a certain class of non-two-state proteins that fold with chevron rollovers. However, several continuum G[o]-like constructs considered here fail to predict any significant intrinsic enthalpic folding barrier under isostability conditions; thus the physical origin of such barriers in real proteins remains to be elucidated.
6693 },
6694 Author = {Kaya, Huseyin and Liu, Zhirong and Chan, Hue Sun},
6695 Doi = {10.1529/biophysj.104.057471},
6696 Eprint = {http://www.biophysj.org/cgi/reprint/89/1/520.pdf},
6697 Journal = {Biophys. J.},
6698 Number = 1,
6699 Pages = {520-535},
6700 Title = {{Chevron Behavior and Isostable Enthalpic Barriers in Protein Folding: Successes and Limitations of Simple Go-like Modeling}},
6701 Url = {http://www.biophysj.org/cgi/content/abstract/89/1/520},
6702 Volume = 89,
6703 Year = 2005,
6704 Bdsk-Url-1 = {http://www.biophysj.org/cgi/content/abstract/89/1/520},
6705 Bdsk-Url-2 = {http://dx.doi.org/10.1529/biophysj.104.057471}}