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3 tim 2685
4 tim 2786 @ARTICLE{Torre2003,
5     author = {J. G. {de la Torre} and H. E. Sanchez and A. Ortega and J. G. Hernandez
6     and M. X. Fernandes and F. G. Diaz and M. C. L. Martinez},
7     title = {Calculation of the solution properties of flexible macromolecules:
8     methods and applications},
9     journal = {European Biophysics Journal with Biophysics Letters},
10     year = {2003},
11     volume = {32},
12     pages = {477-486},
13     number = {5},
14     month = {Aug},
15     abstract = {While the prediction of hydrodynamic properties of rigid particles
16     is nowadays feasible using simple and efficient computer programs,
17     the calculation of such properties and, in general, the dynamic
18     behavior of flexible macromolecules has not reached a similar situation.
19     Although the theories are available, usually the computational work
20     is done using solutions specific for each problem. We intend to
21     develop computer programs that would greatly facilitate the task
22     of predicting solution behavior of flexible macromolecules. In this
23     paper, we first present an overview of the two approaches that are
24     most practical: the Monte Carlo rigid-body treatment, and the Brownian
25     dynamics simulation technique. The Monte Carlo procedure is based
26     on the calculation of properties for instantaneous conformations
27     of the macromolecule that are regarded as if they were instantaneously
28     rigid. We describe how a Monte Carlo program can be interfaced to
29     the programs in the HYDRO suite for rigid particles, and provide
30     an example of such calculation, for a hypothetical particle: a protein
31     with two domains connected by a flexible linker. We also describe
32     briefly the essentials of Brownian dynamics, and propose a general
33     mechanical model that includes several kinds of intramolecular interactions,
34     such as bending, internal rotation, excluded volume effects, etc.
35     We provide an example of the application of this methodology to
36     the dynamics of a semiflexible, wormlike DNA.},
37     annote = {724XK Times Cited:6 Cited References Count:64},
38     issn = {0175-7571},
39     uri = {<Go to ISI>://000185513400011},
40 tim 2685 }
41    
42 tim 2786 @ARTICLE{Alakent2005,
43     author = {B. Alakent and M. C. Camurdan and P. Doruker},
44     title = {Hierarchical structure of the energy landscape of proteins revisited
45     by time series analysis. II. Investigation of explicit solvent effects},
46     journal = {Journal of Chemical Physics},
47     year = {2005},
48     volume = {123},
49     pages = {-},
50     number = {14},
51     month = {Oct 8},
52     abstract = {Time series analysis tools are employed on the principal modes obtained
53     from the C-alpha trajectories from two independent molecular-dynamics
54     simulations of alpha-amylase inhibitor (tendamistat). Fluctuations
55     inside an energy minimum (intraminimum motions), transitions between
56     minima (interminimum motions), and relaxations in different hierarchical
57     energy levels are investigated and compared with those encountered
58     in vacuum by using different sampling window sizes and intervals.
59     The low-frequency low-indexed mode relationship, established in
60     vacuum, is also encountered in water, which shows the reliability
61     of the important dynamics information offered by principal components
62     analysis in water. It has been shown that examining a short data
63     collection period (100 ps) may result in a high population of overdamped
64     modes, while some of the low-frequency oscillations (< 10 cm(-1))
65     can be captured in water by using a longer data collection period
66     (1200 ps). Simultaneous analysis of short and long sampling window
67     sizes gives the following picture of the effect of water on protein
68     dynamics. Water makes the protein lose its memory: future conformations
69     are less dependent on previous conformations due to the lowering
70     of energy barriers in hierarchical levels of the energy landscape.
71     In short-time dynamics (< 10 ps), damping factors extracted from
72     time series model parameters are lowered. For tendamistat, the friction
73     coefficient in the Langevin equation is found to be around 40-60
74     cm(-1) for the low-indexed modes, compatible with literature. The
75     fact that water has increased the friction and that on the other
76     hand has lubrication effect at first sight contradicts. However,
77     this comes about because water enhances the transitions between
78     minima and forces the protein to reduce its already inherent inability
79     to maintain oscillations observed in vacuum. Some of the frequencies
80     lower than 10 cm(-1) are found to be overdamped, while those higher
81     than 20 cm(-1) are slightly increased. As for the long-time dynamics
82     in water, it is found that random-walk motion is maintained for
83     approximately 200 ps (about five times of that in vacuum) in the
84     low-indexed modes, showing the lowering of energy barriers between
85     the higher-level minima.},
86     annote = {973OH Times Cited:1 Cited References Count:33},
87     issn = {0021-9606},
88     uri = {<Go to ISI>://000232532000064},
89 tim 2685 }
90    
91 tim 2786 @BOOK{Allen1987,
92     title = {Computer Simulations of Liquids},
93     publisher = {Oxford University Press},
94     year = {1987},
95     author = {M.~P. Allen and D.~J. Tildesley},
96     address = {New York},
97 tim 2685 }
98    
99 tim 2786 @ARTICLE{Allison1991,
100     author = {S. A. Allison},
101     title = {A Brownian Dynamics Algorithm for Arbitrary Rigid Bodies - Application
102     to Polarized Dynamic Light-Scattering},
103     journal = {Macromolecules},
104     year = {1991},
105     volume = {24},
106     pages = {530-536},
107     number = {2},
108     month = {Jan 21},
109     abstract = {A Brownian dynamics algorithm is developed to simulate dynamics experiments
110     of rigid macromolecules. It is applied to polarized dynamic light
111     scattering from rodlike sturctures and from a model of a DNA fragment
112     (762 base pairs). A number of rod cases are examined in which the
113     translational anisotropy is increased form zero to a large value.
114     Simulated first cumulants as well as amplitudes and lifetimes of
115     the dynamic form factor are compared with predictions of analytic
116     theories and found to be in very good agreement with them. For DNA
117     fragments 762 base pairs in length or longer, translational anisotropy
118     does not contribute significantly to dynamic light scattering. In
119     a comparison of rigid and flexible simulations on semistiff models
120     of this fragment, it is shown directly that flexing contributes
121     to the faster decay processes probed by light scattering and that
122     the flexible model studies are in good agreement with experiment.},
123     annote = {Eu814 Times Cited:8 Cited References Count:32},
124     issn = {0024-9297},
125     uri = {<Go to ISI>://A1991EU81400029},
126 tim 2685 }
127    
128 tim 2786 @ARTICLE{Auerbach2005,
129     author = {A. Auerbach},
130     title = {Gating of acetylcholine receptor channels: Brownian motion across
131     a broad transition state},
132     journal = {Proceedings of the National Academy of Sciences of the United States
133     of America},
134     year = {2005},
135     volume = {102},
136     pages = {1408-1412},
137     number = {5},
138     month = {Feb 1},
139     abstract = {Acetylcholine receptor channels (AChRs) are proteins that switch between
140     stable #closed# and #open# conformations. In patch clamp recordings,
141     diliganded AChR gating appears to be a simple, two-state reaction.
142     However, mutagenesis studies indicate that during gating dozens
143     of residues across the protein move asynchronously and are organized
144     into rigid body gating domains (#blocks#). Moreover, there is an
145     upper limit to the apparent channel opening rate constant. These
146     observations suggest that the gating reaction has a broad, corrugated
147     transition state region, with the maximum opening rate reflecting,
148     in part, the mean first-passage time across this ensemble. Simulations
149     reveal that a flat, isotropic energy profile for the transition
150     state can account for many of the essential features of AChR gating.
151     With this mechanism, concerted, local structural transitions that
152     occur on the broad transition state ensemble give rise to fractional
153     measures of reaction progress (Phi values) determined by rate-equilibrium
154     free energy relationship analysis. The results suggest that the
155     coarse-grained AChR gating conformational change propagates through
156     the protein with dynamics that are governed by the Brownian motion
157     of individual gating blocks.},
158     annote = {895QF Times Cited:9 Cited References Count:33},
159     issn = {0027-8424},
160     uri = {<Go to ISI>://000226877300030},
161 tim 2685 }
162    
163 tim 2786 @ARTICLE{Baber1995,
164     author = {J. Baber and J. F. Ellena and D. S. Cafiso},
165     title = {Distribution of General-Anesthetics in Phospholipid-Bilayers Determined
166     Using H-2 Nmr and H-1-H-1 Noe Spectroscopy},
167     journal = {Biochemistry},
168     year = {1995},
169     volume = {34},
170     pages = {6533-6539},
171     number = {19},
172     month = {May 16},
173     abstract = {The effect of the general anesthetics halothane, enflurane, and isoflurane
174     on hydrocarbon chain packing in palmitoyl(d(31))oleoylphosphatidylcholine
175     membranes in the liquid crystalline phase was investigated using
176     H-2 NMR. Upon the addition of the anesthetics, the first five methylene
177     units near the interface generally show a very small increase in
178     segmental order, while segments deeper within the bilayer show a
179     small decrease in segmental order. From the H-2 NMR results, the
180     chain length for the perdeuterated palmitoyl chain in the absence
181     of anesthetic was found to be 12.35 Angstrom. Upon the addition
182     of halothane enflurane, or isoflurane, the acyl chain undergoes
183     slight contractions of 0.11, 0.20, or 0.16 Angstrom, respectively,
184     at 50 mol % anesthetic. A simple model was used to estimate the
185     relative amounts of anesthetic located near the interface and deeper
186     in the bilayer hydrocarbon region, and only a slight preference
187     for an interfacial location was observed. Intermolecular H-1-H-1
188     nuclear Overhauser effects (NOEs) were measured between phospholipid
189     and halothane protons. These NOEs are consistent with the intramembrane
190     location of the anesthetics suggested by the H-2 NMR data. In addition,
191     the NOE data indicate that anesthetics prefer the interfacial and
192     hydrocarbon regions of the membrane and are not found in high concentrations
193     in the phospholipid headgroup.},
194     annote = {Qz716 Times Cited:38 Cited References Count:37},
195     issn = {0006-2960},
196     uri = {<Go to ISI>://A1995QZ71600035},
197 tim 2685 }
198    
199 tim 2786 @ARTICLE{Banerjee2004,
200     author = {D. Banerjee and B. C. Bag and S. K. Banik and D. S. Ray},
201     title = {Solution of quantum Langevin equation: Approximations, theoretical
202     and numerical aspects},
203     journal = {Journal of Chemical Physics},
204     year = {2004},
205     volume = {120},
206     pages = {8960-8972},
207     number = {19},
208     month = {May 15},
209     abstract = {Based on a coherent state representation of noise operator and an
210     ensemble averaging procedure using Wigner canonical thermal distribution
211     for harmonic oscillators, a generalized quantum Langevin equation
212     has been recently developed [Phys. Rev. E 65, 021109 (2002); 66,
213     051106 (2002)] to derive the equations of motion for probability
214     distribution functions in c-number phase-space. We extend the treatment
215     to explore several systematic approximation schemes for the solutions
216     of the Langevin equation for nonlinear potentials for a wide range
217     of noise correlation, strength and temperature down to the vacuum
218     limit. The method is exemplified by an analytic application to harmonic
219     oscillator for arbitrary memory kernel and with the help of a numerical
220     calculation of barrier crossing, in a cubic potential to demonstrate
221     the quantum Kramers' turnover and the quantum Arrhenius plot. (C)
222     2004 American Institute of Physics.},
223     annote = {816YY Times Cited:8 Cited References Count:35},
224     issn = {0021-9606},
225     uri = {<Go to ISI>://000221146400009},
226 tim 2685 }
227    
228 tim 2786 @ARTICLE{Barth1998,
229     author = {E. Barth and T. Schlick},
230     title = {Overcoming stability limitations in biomolecular dynamics. I. Combining
231     force splitting via extrapolation with Langevin dynamics in LN},
232     journal = {Journal of Chemical Physics},
233     year = {1998},
234     volume = {109},
235     pages = {1617-1632},
236     number = {5},
237     month = {Aug 1},
238     abstract = {We present an efficient new method termed LN for propagating biomolecular
239     dynamics according to the Langevin equation that arose fortuitously
240     upon analysis of the range of harmonic validity of our normal-mode
241     scheme LIN. LN combines force linearization with force splitting
242     techniques and disposes of LIN'S computationally intensive minimization
243     (anharmonic correction) component. Unlike the competitive multiple-timestepping
244     (MTS) schemes today-formulated to be symplectic and time-reversible-LN
245     merges the slow and fast forces via extrapolation rather than impulses;
246     the Langevin heat bath prevents systematic energy drifts. This combination
247     succeeds in achieving more significant speedups than these MTS methods
248     which are Limited by resonance artifacts to an outer timestep less
249     than some integer multiple of half the period of the fastest motion
250     (around 4-5 fs for biomolecules). We show that LN achieves very
251     good agreement with small-timestep solutions of the Langevin equation
252     in terms of thermodynamics (energy means and variances), geometry,
253     and dynamics (spectral densities) for two proteins in vacuum and
254     a large water system. Significantly, the frequency of updating the
255     slow forces extends to 48 fs or more, resulting in speedup factors
256     exceeding 10. The implementation of LN in any program that employs
257     force-splitting computations is straightforward, with only partial
258     second-derivative information required, as well as sparse Hessian/vector
259     multiplication routines. The linearization part of LN could even
260     be replaced by direct evaluation of the fast components. The application
261     of LN to biomolecular dynamics is well suited for configurational
262     sampling, thermodynamic, and structural questions. (C) 1998 American
263     Institute of Physics.},
264     annote = {105HH Times Cited:29 Cited References Count:49},
265     issn = {0021-9606},
266     uri = {<Go to ISI>://000075066300006},
267 tim 2685 }
268    
269 tim 2786 @ARTICLE{Batcho2001,
270     author = {P. F. Batcho and T. Schlick},
271     title = {Special stability advantages of position-Verlet over velocity-Verlet
272     in multiple-time step integration},
273     journal = {Journal of Chemical Physics},
274     year = {2001},
275     volume = {115},
276     pages = {4019-4029},
277     number = {9},
278     month = {Sep 1},
279     abstract = {We present an analysis for a simple two-component harmonic oscillator
280     that compares the use of position-Verlet to velocity-Verlet for
281     multiple-time step integration. The numerical stability analysis
282     based on the impulse-Verlet splitting shows that position-Verlet
283     has enhanced stability, in terms of the largest allowable time step,
284     for cases where an ample separation of time scales exists. Numerical
285     investigations confirm the advantages of the position-Verlet scheme
286     when used for the fastest time scales of the system. Applications
287     to a biomolecule. a solvated protein, for both Newtonian and Langevin
288     dynamics echo these trends over large outer time-step regimes. (C)
289     2001 American Institute of Physics.},
290     annote = {469KV Times Cited:6 Cited References Count:30},
291     issn = {0021-9606},
292     uri = {<Go to ISI>://000170813800005},
293 tim 2685 }
294    
295 tim 2786 @ARTICLE{Bates2005,
296     author = {M. A. Bates and G. R. Luckhurst},
297     title = {Biaxial nematic phases and V-shaped molecules: A Monte Carlo simulation
298     study},
299     journal = {Physical Review E},
300     year = {2005},
301     volume = {72},
302     pages = {-},
303     number = {5},
304     month = {Nov},
305     abstract = {Inspired by recent claims that compounds composed of V-shaped molecules
306     can exhibit the elusive biaxial nematic phase, we have developed
307     a generic simulation model for such systems. This contains the features
308     of the molecule that are essential to its liquid crystal behavior,
309     namely the anisotropies of the two arms and the angle between them.
310     The behavior of the model has been investigated using Monte Carlo
311     simulations for a wide range of these structural parameters. This
312     allows us to establish the relationship between the V-shaped molecule
313     and its ability to form a biaxial nematic phase. Of particular importance
314     are the criteria of geometry and the relative anisotropy necessary
315     for the system to exhibit a Landau point, at which the biaxial nematic
316     is formed directly from the isotropic phase. The simulations have
317     also been used to determine the orientational order parameters for
318     a selection of molecular axes. These are especially important because
319     they reveal the phase symmetry and are connected to the experimental
320     determination of this. The simulation results show that, whereas
321     some positions are extremely sensitive to the phase biaxiality,
322     others are totally blind to this.},
323     annote = {Part 1 988LQ Times Cited:0 Cited References Count:38},
324     issn = {1539-3755},
325     uri = {<Go to ISI>://000233603100030},
326 tim 2685 }
327    
328 tim 2786 @ARTICLE{Beard2003,
329     author = {D. A. Beard and T. Schlick},
330     title = {Unbiased rotational moves for rigid-body dynamics},
331     journal = {Biophysical Journal},
332     year = {2003},
333     volume = {85},
334     pages = {2973-2976},
335     number = {5},
336     month = {Nov 1},
337     abstract = {We introduce an unbiased protocol for performing rotational moves
338     in rigid-body dynamics simulations. This approach - based on the
339     analytic solution for the rotational equations of motion for an
340     orthogonal coordinate system at constant angular velocity - removes
341     deficiencies that have been largely ignored in Brownian dynamics
342     simulations, namely errors for finite rotations that result from
343     applying the noncommuting rotational matrices in an arbitrary order.
344     Our algorithm should thus replace standard approaches to rotate
345     local coordinate frames in Langevin and Brownian dynamics simulations.},
346     annote = {736UA Times Cited:0 Cited References Count:11},
347     issn = {0006-3495},
348     uri = {<Go to ISI>://000186190500018},
349 tim 2685 }
350    
351 tim 2786 @ARTICLE{Beloborodov1998,
352     author = {I. S. Beloborodov and V. Y. Orekhov and A. S. Arseniev},
353     title = {Effect of coupling between rotational and translational Brownian
354     motions on NMR spin relaxation: Consideration using green function
355     of rigid body diffusion},
356     journal = {Journal of Magnetic Resonance},
357     year = {1998},
358     volume = {132},
359     pages = {328-329},
360     number = {2},
361     month = {Jun},
362     abstract = {Using the Green function of arbitrary rigid Brownian diffusion (Goldstein,
363     Biopolymers 33, 409-436, 1993), it was analytically shown that coupling
364     between translation and rotation diffusion degrees of freedom does
365     not affect the correlation functions relevant to the NMR intramolecular
366     relaxation. It follows that spectral densities usually used for
367     the anisotropic rotation diffusion (Woessner, J. Chem. Phys. 37,
368     647-654, 1962) can be regarded as exact in respect to the rotation-translation
369     coupling for the spin system connected with a rigid body. (C) 1998
370     Academic Press.},
371     annote = {Zu605 Times Cited:2 Cited References Count:6},
372     issn = {1090-7807},
373     uri = {<Go to ISI>://000074214800017},
374 tim 2685 }
375    
376 tim 2786 @ARTICLE{Berardi1996,
377     author = {R. Berardi and S. Orlandi and C. Zannoni},
378     title = {Antiphase structures in polar smectic liquid crystals and their molecular
379     origin},
380     journal = {Chemical Physics Letters},
381     year = {1996},
382     volume = {261},
383     pages = {357-362},
384     number = {3},
385     month = {Oct 18},
386     abstract = {We demonstrate that the overall molecular dipole organization in a
387     smectic liquid crystal formed of polar molecules can be strongly
388     influenced by the position of the dipole in the molecule. We study
389     by large scale Monte Carlo simulations systems of attractive-repulsive
390     ''Gay-Berne'' elongated ellipsoids with an axial dipole at the center
391     or near the end of the molecule and we show that monolayer smectic
392     liquid crystals and modulated antiferroelectric bilayer stripe domains
393     similar to the experimentally observed ''antiphase'' structures
394     are obtained in the two cases.},
395     annote = {Vn637 Times Cited:49 Cited References Count:26},
396     issn = {0009-2614},
397     uri = {<Go to ISI>://A1996VN63700023},
398 tim 2685 }
399    
400 tim 2786 @ARTICLE{Berkov2005,
401     author = {D. V. Berkov and N. L. Gorn},
402     title = {Stochastic dynamic simulations of fast remagnetization processes:
403     recent advances and applications},
404     journal = {Journal of Magnetism and Magnetic Materials},
405     year = {2005},
406     volume = {290},
407     pages = {442-448},
408     month = {Apr},
409     abstract = {Numerical simulations of fast remagnetization processes using stochastic
410     dynamics are widely used to study various magnetic systems. In this
411     paper, we first address several crucial methodological problems
412     of such simulations: (i) the influence of finite-element discretization
413     on simulated dynamics, (ii) choice between Ito and Stratonovich
414     stochastic calculi by the solution of micromagnetic stochastic equations
415     of motion and (iii) non-trivial correlation properties of the random
416     (thermal) field. Next, we discuss several examples to demonstrate
417     the great potential of the Langevin dynamics for studying fast remagnetization
418     processes in technically relevant applications: we present numerical
419     analysis of equilibrium magnon spectra in patterned structures,
420     study thermal noise effects on the magnetization dynamics of nanoelements
421     in pulsed fields and show some results for a remagnetization dynamics
422     induced by a spin-polarized current. (c) 2004 Elsevier B.V. All
423     rights reserved.},
424     annote = {Part 1 Sp. Iss. SI 922KU Times Cited:2 Cited References Count:25},
425     issn = {0304-8853},
426     uri = {<Go to ISI>://000228837600109},
427 tim 2685 }
428    
429 tim 2786 @ARTICLE{Berkov2005a,
430     author = {D. V. Berkov and N. L. Gorn},
431     title = {Magnetization precession due to a spin-polarized current in a thin
432     nanoelement: Numerical simulation study},
433     journal = {Physical Review B},
434     year = {2005},
435     volume = {72},
436     pages = {-},
437     number = {9},
438     month = {Sep},
439     abstract = {In this paper a detailed numerical study (in frames of the Slonczewski
440     formalism) of magnetization oscillations driven by a spin-polarized
441     current through a thin elliptical nanoelement is presented. We show
442     that a sophisticated micromagnetic model, where a polycrystalline
443     structure of a nanoelement is taken into account, can explain qualitatively
444     all most important features of the magnetization oscillation spectra
445     recently observed experimentally [S. I. Kiselev , Nature 425, 380
446     (2003)], namely, existence of several equidistant spectral bands,
447     sharp onset and abrupt disappearance of magnetization oscillations
448     with increasing current, absence of the out-of-plane regime predicted
449     by a macrospin model, and the relation between frequencies of so-called
450     small-angle and quasichaotic oscillations. However, a quantitative
451     agreement with experimental results (especially concerning the frequency
452     of quasichaotic oscillations) could not be achieved in the region
453     of reasonable parameter values, indicating that further model refinement
454     is necessary for a complete understanding of the spin-driven magnetization
455     precession even in this relatively simple experimental situation.},
456     annote = {969IT Times Cited:2 Cited References Count:55},
457     issn = {1098-0121},
458     uri = {<Go to ISI>://000232228500058},
459 tim 2685 }
460    
461 tim 2786 @ARTICLE{Berkov2002,
462     author = {D. V. Berkov and N. L. Gorn and P. Gornert},
463     title = {Magnetization dynamics in nanoparticle systems: Numerical simulation
464     using Langevin dynamics},
465     journal = {Physica Status Solidi a-Applied Research},
466     year = {2002},
467     volume = {189},
468     pages = {409-421},
469     number = {2},
470     month = {Feb 16},
471     abstract = {We report on recent progress achieved by the development of numerical
472     methods based on the stochastic (Langevin) dynamics applied to systems
473     of interacting magnetic nanoparticles. The method enables direct
474     simulations of the trajectories of magnetic moments taking into
475     account (i) all relevant interactions, (ii) precession dynamics,
476     and (iii) temperature fluctuations included via the random (thermal)
477     field. We present several novel results obtained using new methods
478     developed for the solution of the Langevin equations. In particular,
479     we have investigated magnetic nanodots and disordered granular systems
480     of single-domain magnetic particles. For the first case we have
481     calculated the spectrum and the spatial distribution of spin excitations.
482     For the second system the complex ac susceptibility chi(omega, T)
483     for various particle concentrations and particle anisotropies were
484     computed and compared with numerous experimental results.},
485     annote = {526TF Times Cited:4 Cited References Count:37},
486     issn = {0031-8965},
487     uri = {<Go to ISI>://000174145200026},
488 tim 2685 }
489    
490 tim 2786 @ARTICLE{Bernal1980,
491     author = {J.M. Bernal and J. G. {de la Torre}},
492     title = {Transport Properties and Hydrodynamic Centers of Rigid Macromolecules
493     with Arbitrary Shape},
494     journal = {Biopolymers},
495     year = {1980},
496     volume = {19},
497     pages = {751-766},
498 tim 2685 }
499    
500 tim 2786 @ARTICLE{Brunger1984,
501     author = {A. Brunger and C. L. Brooks and M. Karplus},
502     title = {Stochastic Boundary-Conditions for Molecular-Dynamics Simulations
503     of St2 Water},
504     journal = {Chemical Physics Letters},
505     year = {1984},
506     volume = {105},
507     pages = {495-500},
508     number = {5},
509     annote = {Sm173 Times Cited:143 Cited References Count:22},
510     issn = {0009-2614},
511     uri = {<Go to ISI>://A1984SM17300007},
512 tim 2685 }
513    
514 tim 2786 @ARTICLE{Camp1999,
515     author = {P. J. Camp and M. P. Allen and A. J. Masters},
516     title = {Theory and computer simulation of bent-core molecules},
517     journal = {Journal of Chemical Physics},
518     year = {1999},
519     volume = {111},
520     pages = {9871-9881},
521     number = {21},
522     month = {Dec 1},
523     abstract = {Fluids of hard bent-core molecules have been studied using theory
524     and computer simulation. The molecules are composed of two hard
525     spherocylinders, with length-to-breadth ratio L/D, joined by their
526     ends at an angle 180 degrees - gamma. For L/D = 2 and gamma = 0,10,20
527     degrees, the simulations show isotropic, nematic, smectic, and solid
528     phases. For L/D = 2 and gamma = 30 degrees, only isotropic, nematic,
529     and solid phases are in evidence, which suggests that there is a
530     nematic-smectic-solid triple point at an angle in the range 20 degrees
531     < gamma < 30 degrees. In all of the orientationally ordered fluid
532     phases the order is purely uniaxial. For gamma = 10 degrees and
533     20 degrees, at the studied densities, the solid is also uniaxially
534     ordered, whilst for gamma = 30 degrees the solid layers are biaxially
535     ordered. For L/D = 2 and gamma = 60 degrees and 90 degrees we find
536     no spontaneous orientational ordering. This is shown to be due to
537     the interlocking of dimer pairs which precludes alignment. We find
538     similar results for L/D = 9.5 and gamma = 72 degrees, where an isotropic-biaxial
539     nematic transition is predicted by Onsager theory. Simulations in
540     the biaxial nematic phase show it to be at least mechanically stable
541     with respect to the isotropic phase, however. We have compared the
542     quasi-exact simulation results in the isotropic phase with the predicted
543     equations of state from three theories: the virial expansion containing
544     the second and third virial coefficients; the Parsons-Lee equation
545     of state; an application of Wertheim's theory of associating fluids
546     in the limit of infinite attractive association energy. For all
547     of the molecule elongations and geometries we have simulated, the
548     Wertheim theory proved to be the most accurate. Interestingly, the
549     isotropic equation of state is virtually independent of the dimer
550     bond angle-a feature that is also reflected in the lack of variation
551     with angle of the calculated second and third virial coefficients.
552     (C) 1999 American Institute of Physics. [S0021-9606(99)50445-5].},
553     annote = {255TC Times Cited:24 Cited References Count:38},
554     issn = {0021-9606},
555     uri = {<Go to ISI>://000083685400056},
556 tim 2685 }
557    
558 tim 2786 @ARTICLE{Care2005,
559     author = {C. M. Care and D. J. Cleaver},
560     title = {Computer simulation of liquid crystals},
561     journal = {Reports on Progress in Physics},
562     year = {2005},
563     volume = {68},
564     pages = {2665-2700},
565     number = {11},
566     month = {Nov},
567     abstract = {A review is presented of molecular and mesoscopic computer simulations
568     of liquid crystalline systems. Molecular simulation approaches applied
569     to such systems are described, and the key findings for bulk phase
570     behaviour are reported. Following this, recently developed lattice
571     Boltzmann approaches to the mesoscale modelling of nemato-dynanics
572     are reviewed. This paper concludes with a discussion of possible
573     areas for future development in this field.},
574     annote = {989TU Times Cited:2 Cited References Count:258},
575     issn = {0034-4885},
576     uri = {<Go to ISI>://000233697600004},
577 tim 2685 }
578    
579 tim 2786 @ARTICLE{Carrasco1999,
580     author = {B. Carrasco and J. G. {de la Torre}},
581     title = {Hydrodynamic properties of rigid particles: Comparison of different
582     modeling and computational procedures},
583     journal = {Biophysical Journal},
584     year = {1999},
585     volume = {76},
586     pages = {3044-3057},
587     number = {6},
588     month = {Jun},
589     abstract = {The hydrodynamic properties of rigid particles are calculated from
590     models composed of spherical elements (beads) using theories developed
591     by Kirkwood, Bloomfield, and their coworkers. Bead models have usually
592     been built in such a way that the beads fill the volume occupied
593     by the particles. Sometimes the beads are few and of varying sizes
594     (bead models in the strict sense), and other times there are many
595     small beads (filling models). Because hydrodynamic friction takes
596     place at the molecular surface, another possibility is to use shell
597     models, as originally proposed by Bloomfield. In this work, we have
598     developed procedures to build models of the various kinds, and we
599     describe the theory and methods for calculating their hydrodynamic
600     properties, including approximate methods that may be needed to
601     treat models with a very large number of elements. By combining
602     the various possibilities of model building and hydrodynamic calculation,
603     several strategies can be designed. We have made a quantitative
604     comparison of the performance of the various strategies by applying
605     them to some test cases, for which the properties are known a priori.
606     We provide guidelines and computational tools for bead modeling.},
607     annote = {200TT Times Cited:46 Cited References Count:57},
608     issn = {0006-3495},
609     uri = {<Go to ISI>://000080556700016},
610 tim 2685 }
611    
612 tim 2786 @ARTICLE{Chandra1999,
613     author = {A. Chandra and T. Ichiye},
614     title = {Dynamical properties of the soft sticky dipole model of water: Molecular
615     dynamics simulations},
616     journal = {Journal of Chemical Physics},
617     year = {1999},
618     volume = {111},
619     pages = {2701-2709},
620     number = {6},
621     month = {Aug 8},
622     abstract = {Dynamical properties of the soft sticky dipole (SSD) model of water
623     are calculated by means of molecular dynamics simulations. Since
624     this is not a simple point model, the forces and torques arising
625     from the SSD potential are derived here. Simulations are carried
626     out in the microcanonical ensemble employing the Ewald method for
627     the electrostatic interactions. Various time correlation functions
628     and dynamical quantities associated with the translational and rotational
629     motion of water molecules are evaluated and compared with those
630     of two other commonly used models of liquid water, namely the transferable
631     intermolecular potential-three points (TIP3P) and simple point charge/extended
632     (SPC/E) models, and also with experiments. The dynamical properties
633     of the SSD water model are found to be in good agreement with the
634     experimental results and appear to be better than the TIP3P and
635     SPC/E models in most cases, as has been previously shown for its
636     thermodynamic, structural, and dielectric properties. Also, molecular
637     dynamics simulations of the SSD model are found to run much faster
638     than TIP3P, SPC/E, and other multisite models. (C) 1999 American
639     Institute of Physics. [S0021-9606(99)51430-X].},
640     annote = {221EN Times Cited:14 Cited References Count:66},
641     issn = {0021-9606},
642     uri = {<Go to ISI>://000081711200038},
643 tim 2685 }
644    
645 tim 2786 @ARTICLE{Cheung2004,
646     author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
647     title = {Calculation of flexoelectric coefficients for a nematic liquid crystal
648     by atomistic simulation},
649     journal = {Journal of Chemical Physics},
650     year = {2004},
651     volume = {121},
652     pages = {9131-9139},
653     number = {18},
654     month = {Nov 8},
655     abstract = {Equilibrium molecular dynamics calculations have been performed for
656     the liquid crystal molecule n-4-(trans-4-n-pentylcyclohexyl)benzonitrile
657     (PCH5) using a fully atomistic model. Simulation data have been
658     obtained for a series of temperatures in the nematic phase. The
659     simulation data have been used to calculate the flexoelectric coefficients
660     e(s) and e(b) using the linear response formalism of Osipov and
661     Nemtsov [M. A. Osipov and V. B. Nemtsov, Sov. Phys. Crstallogr.
662     31, 125 (1986)]. The temperature and order parameter dependence
663     of e(s) and e(b) are examined, as are separate contributions from
664     different intermolecular interactions. Values of e(s) and e(b) calculated
665     from simulation are consistent with those found from experiment.
666     (C) 2004 American Institute of Physics.},
667     annote = {866UM Times Cited:4 Cited References Count:61},
668     issn = {0021-9606},
669     uri = {<Go to ISI>://000224798900053},
670 tim 2685 }
671    
672 tim 2786 @ARTICLE{Cheung2002,
673     author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
674     title = {Calculation of the rotational viscosity of a nematic liquid crystal},
675     journal = {Chemical Physics Letters},
676     year = {2002},
677     volume = {356},
678     pages = {140-146},
679     number = {1-2},
680     month = {Apr 15},
681     abstract = {Equilibrium molecular dynamics calculations have been performed for
682     the liquid crystal molecule n-4-(trans-4-npentylcyclohexyl)benzonitrile
683     (PCH5) using a fully atomistic model. Simulation data has been obtained
684     for a series of temperatures in the nematic phase. The rotational
685     viscosity co-efficient gamma(1), has been calculated using the angular
686     velocity correlation function of the nematic director, n, the mean
687     squared diffusion of n and statistical mechanical methods based
688     on the rotational diffusion co-efficient. We find good agreement
689     between the first two methods and experimental values. (C) 2002
690     Published by Elsevier Science B.V.},
691     annote = {547KF Times Cited:8 Cited References Count:31},
692     issn = {0009-2614},
693     uri = {<Go to ISI>://000175331000020},
694 tim 2685 }
695    
696 tim 2786 @ARTICLE{Chin2004,
697     author = {S. A. Chin},
698     title = {Dynamical multiple-time stepping methods for overcoming resonance
699     instabilities},
700     journal = {Journal of Chemical Physics},
701     year = {2004},
702     volume = {120},
703     pages = {8-13},
704     number = {1},
705     month = {Jan 1},
706     abstract = {Current molecular dynamics simulations of biomolecules using multiple
707     time steps to update the slowly changing force are hampered by instabilities
708     beginning at time steps near the half period of the fastest vibrating
709     mode. These #resonance# instabilities have became a critical barrier
710     preventing the long time simulation of biomolecular dynamics. Attempts
711     to tame these instabilities by altering the slowly changing force
712     and efforts to damp them out by Langevin dynamics do not address
713     the fundamental cause of these instabilities. In this work, we trace
714     the instability to the nonanalytic character of the underlying spectrum
715     and show that a correct splitting of the Hamiltonian, which renders
716     the spectrum analytic, restores stability. The resulting Hamiltonian
717     dictates that in addition to updating the momentum due to the slowly
718     changing force, one must also update the position with a modified
719     mass. Thus multiple-time stepping must be done dynamically. (C)
720     2004 American Institute of Physics.},
721     annote = {757TK Times Cited:1 Cited References Count:22},
722     issn = {0021-9606},
723     uri = {<Go to ISI>://000187577400003},
724 tim 2685 }
725    
726 tim 2786 @ARTICLE{Cook2000,
727     author = {M. J. Cook and M. R. Wilson},
728     title = {Simulation studies of dipole correlation in the isotropic liquid
729     phase},
730     journal = {Liquid Crystals},
731     year = {2000},
732     volume = {27},
733     pages = {1573-1583},
734     number = {12},
735     month = {Dec},
736     abstract = {The Kirkwood correlation factor g(1) determines the preference for
737     local parallel or antiparallel dipole association in the isotropic
738     phase. Calamitic mesogens with longitudinal dipole moments and Kirkwood
739     factors greater than 1 have an enhanced effective dipole moment
740     along the molecular long axis. This leads to higher values of Delta
741     epsilon in the nematic phase. This paper describes state-of-the-art
742     molecular dynamics simulations of two calamitic mesogens 4-(trans-4-n-pentylcyclohexyl)benzonitrile
743     (PCH5) and 4-(trans-4-n-pentylcyclohexyl) chlorobenzene (PCH5-Cl)
744     in the isotropic liquid phase using an all-atom force field and
745     taking long range electrostatics into account using an Ewald summation.
746     Using this methodology, PCH5 is seen to prefer antiparallel dipole
747     alignment with a negative g(1) and PCH5-Cl is seen to prefer parallel
748     dipole alignment with a positive g(1); this is in accordance with
749     experimental dielectric measurements. Analysis of the molecular
750     dynamics trajectories allows an assessment of why these molecules
751     behave differently.},
752     annote = {376BF Times Cited:10 Cited References Count:16},
753     issn = {0267-8292},
754     uri = {<Go to ISI>://000165437800002},
755 tim 2685 }
756    
757 tim 2786 @ARTICLE{Cui2003,
758     author = {B. X. Cui and M. Y. Shen and K. F. Freed},
759     title = {Folding and misfolding of the papillomavirus E6 interacting peptide
760     E6ap},
761     journal = {Proceedings of the National Academy of Sciences of the United States
762     of America},
763     year = {2003},
764     volume = {100},
765     pages = {7087-7092},
766     number = {12},
767     month = {Jun 10},
768     abstract = {All-atom Langevin dynamics simulations have been performed to study
769     the folding pathways of the 18-residue binding domain fragment E6ap
770     of the human papillomavirus E6 interacting peptide. Six independent
771     folding trajectories, with a total duration of nearly 2 mus, all
772     lead to the same native state in which the E6ap adopts a fluctuating
773     a-helix structure in the central portion (Ser-4-Leu-13) but with
774     very flexible N and C termini. Simulations starting from different
775     core configurations exhibit the E6ap folding dynamics as either
776     a two- or three-state folder with an intermediate misfolded state.
777     The essential leucine hydrophobic core (Leu-9, Leu-12, and Leu-13)
778     is well conserved in the native-state structure but absent in the
779     intermediate structure, suggesting that the leucine core is not
780     only essential for the binding activity of E6ap but also important
781     for the stability of the native structure. The free energy landscape
782     reveals a significant barrier between the basins separating the
783     native and misfolded states. We also discuss the various underlying
784     forces that drive the peptide into its native state.},
785     annote = {689LC Times Cited:3 Cited References Count:48},
786     issn = {0027-8424},
787     uri = {<Go to ISI>://000183493500037},
788 tim 2685 }
789    
790 tim 2786 @ARTICLE{Denisov2003,
791     author = {S. I. Denisov and T. V. Lyutyy and K. N. Trohidou},
792     title = {Magnetic relaxation in finite two-dimensional nanoparticle ensembles},
793     journal = {Physical Review B},
794     year = {2003},
795     volume = {67},
796     pages = {-},
797     number = {1},
798     month = {Jan 1},
799     abstract = {We study the slow phase of thermally activated magnetic relaxation
800     in finite two-dimensional ensembles of dipolar interacting ferromagnetic
801     nanoparticles whose easy axes of magnetization are perpendicular
802     to the distribution plane. We develop a method to numerically simulate
803     the magnetic relaxation for the case that the smallest heights of
804     the potential barriers between the equilibrium directions of the
805     nanoparticle magnetic moments are much larger than the thermal energy.
806     Within this framework, we analyze in detail the role that the correlations
807     of the nanoparticle magnetic moments and the finite size of the
808     nanoparticle ensemble play in magnetic relaxation.},
809     annote = {642XH Times Cited:11 Cited References Count:31},
810     issn = {1098-0121},
811     uri = {<Go to ISI>://000180830400056},
812 tim 2685 }
813    
814 tim 2786 @ARTICLE{Derreumaux1998,
815     author = {P. Derreumaux and T. Schlick},
816     title = {The loop opening/closing motion of the enzyme triosephosphate isomerase},
817     journal = {Biophysical Journal},
818     year = {1998},
819     volume = {74},
820     pages = {72-81},
821     number = {1},
822     month = {Jan},
823     abstract = {To explore the origin of the large-scale motion of triosephosphate
824     isomerase's flexible loop (residues 166 to 176) at the active site,
825     several simulation protocols are employed both for the free enzyme
826     in vacuo and for the free enzyme with some solvent modeling: high-temperature
827     Langevin dynamics simulations, sampling by a #dynamics##driver#
828     approach, and potential-energy surface calculations. Our focus is
829     on obtaining the energy barrier to the enzyme's motion and establishing
830     the nature of the loop movement. Previous calculations did not determine
831     this energy barrier and the effect of solvent on the barrier. High-temperature
832     molecular dynamics simulations and crystallographic studies have
833     suggested a rigid-body motion with two hinges located at both ends
834     of the loop; Brownian dynamics simulations at room temperature pointed
835     to a very flexible behavior. The present simulations and analyses
836     reveal that although solute/solvent hydrogen bonds play a crucial
837     role in lowering the energy along the pathway, there still remains
838     a high activation barrier, This finding clearly indicates that,
839     if the loop opens and closes in the absence of a substrate at standard
840     conditions (e.g., room temperature, appropriate concentration of
841     isomerase), the time scale for transition is not in the nanosecond
842     but rather the microsecond range. Our results also indicate that
843     in the context of spontaneous opening in the free enzyme, the motion
844     is of rigid-body type and that the specific interaction between
845     residues Ala(176) and Tyr(208) plays a crucial role in the loop
846     opening/closing mechanism.},
847     annote = {Zl046 Times Cited:30 Cited References Count:29},
848     issn = {0006-3495},
849     uri = {<Go to ISI>://000073393400009},
850 tim 2685 }
851    
852 tim 2786 @ARTICLE{Dullweber1997,
853     author = {A. Dullweber and B. Leimkuhler and R. McLachlan},
854     title = {Symplectic splitting methods for rigid body molecular dynamics},
855     journal = {Journal of Chemical Physics},
856     year = {1997},
857     volume = {107},
858     pages = {5840-5851},
859     number = {15},
860     month = {Oct 15},
861     abstract = {Rigid body molecular models possess symplectic structure and time-reversal
862     symmetry. Standard numerical integration methods destroy both properties,
863     introducing nonphysical dynamical behavior such as numerically induced
864     dissipative states and drift in the energy during long term simulations.
865     This article describes the construction, implementation, and practical
866     application of fast explicit symplectic-reversible integrators for
867     multiple rigid body molecular simulations, These methods use a reduction
868     to Euler equations for the free rigid body, together with a symplectic
869     splitting technique. In every time step, the orientational dynamics
870     of each rigid body is integrated by a sequence of planar rotations.
871     Besides preserving the symplectic and reversible structures of the
872     flow, this scheme accurately conserves the total angular momentum
873     of a system of interacting rigid bodies. Excellent energy conservation
874     fan be obtained relative to traditional methods, especially in long-time
875     simulations. The method is implemented in a research code, ORIENT
876     and compared with a quaternion/extrapolation scheme for the TIP4P
877     model of water. Our experiments show that the symplectic-reversible
878     scheme is far superior to the more traditional quaternion method.
879     (C) 1997 American Institute of Physics.},
880     annote = {Ya587 Times Cited:35 Cited References Count:32},
881     issn = {0021-9606},
882     uri = {<Go to ISI>://A1997YA58700024},
883 tim 2685 }
884    
885 tim 2786 @ARTICLE{Edwards2005,
886     author = {S. A. Edwards and D. R. M. Williams},
887     title = {Stretching a single diblock copolymer in a selective solvent: Langevin
888     dynamics simulations},
889     journal = {Macromolecules},
890     year = {2005},
891     volume = {38},
892     pages = {10590-10595},
893     number = {25},
894     month = {Dec 13},
895     abstract = {Using the Langevin dynamics technique, we have carried out simulations
896     of a single-chain flexible diblock copolymer. The polymer consists
897     of two blocks of equal length, one very poorly solvated and the
898     other close to theta-conditions. We study what happens when such
899     a polymer is stretched, for a range of different stretching speeds,
900     and correlate our observations with features in the plot of force
901     vs extension. We find that at slow speeds this force profile does
902     not increase monotonically, in disagreement with earlier predictions,
903     and that at high speeds there is a strong dependence on which end
904     of the polymer is pulled, as well as a high level of hysteresis.},
905     annote = {992EC Times Cited:0 Cited References Count:13},
906     issn = {0024-9297},
907     uri = {<Go to ISI>://000233866200035},
908 tim 2685 }
909    
910 tim 2786 @ARTICLE{Egberts1988,
911     author = {E. Egberts and H. J. C. Berendsen},
912     title = {Molecular-Dynamics Simulation of a Smectic Liquid-Crystal with Atomic
913     Detail},
914     journal = {Journal of Chemical Physics},
915     year = {1988},
916     volume = {89},
917     pages = {3718-3732},
918     number = {6},
919     month = {Sep 15},
920     annote = {Q0188 Times Cited:219 Cited References Count:43},
921     issn = {0021-9606},
922     uri = {<Go to ISI>://A1988Q018800036},
923 tim 2685 }
924    
925 tim 2786 @ARTICLE{Ermak1978,
926     author = {D. L. Ermak and J. A. Mccammon},
927     title = {Brownian Dynamics with Hydrodynamic Interactions},
928     journal = {Journal of Chemical Physics},
929     year = {1978},
930     volume = {69},
931     pages = {1352-1360},
932     number = {4},
933     annote = {Fp216 Times Cited:785 Cited References Count:42},
934     issn = {0021-9606},
935     uri = {<Go to ISI>://A1978FP21600004},
936 tim 2685 }
937    
938 tim 2786 @ARTICLE{Fennell2004,
939     author = {C. J. Fennell and J. D. Gezelter},
940     title = {On the structural and transport properties of the soft sticky dipole
941     and related single-point water models},
942     journal = {Journal of Chemical Physics},
943     year = {2004},
944     volume = {120},
945     pages = {9175-9184},
946     number = {19},
947     month = {May 15},
948     abstract = {The density maximum and temperature dependence of the self-diffusion
949     constant were investigated for the soft sticky dipole (SSD) water
950     model and two related reparametrizations of this single-point model.
951     A combination of microcanonical and isobaric-isothermal molecular
952     dynamics simulations was used to calculate these properties, both
953     with and without the use of reaction field to handle long-range
954     electrostatics. The isobaric-isothermal simulations of the melting
955     of both ice-I-h and ice-I-c showed a density maximum near 260 K.
956     In most cases, the use of the reaction field resulted in calculated
957     densities which were significantly lower than experimental densities.
958     Analysis of self-diffusion constants shows that the original SSD
959     model captures the transport properties of experimental water very
960     well in both the normal and supercooled liquid regimes. We also
961     present our reparametrized versions of SSD for use both with the
962     reaction field or without any long-range electrostatic corrections.
963     These are called the SSD/RF and SSD/E models, respectively. These
964     modified models were shown to maintain or improve upon the experimental
965     agreement with the structural and transport properties that can
966     be obtained with either the original SSD or the density-corrected
967     version of the original model (SSD1). Additionally, a novel low-density
968     ice structure is presented which appears to be the most stable ice
969     structure for the entire SSD family. (C) 2004 American Institute
970     of Physics.},
971     annote = {816YY Times Cited:5 Cited References Count:39},
972     issn = {0021-9606},
973     uri = {<Go to ISI>://000221146400032},
974 tim 2685 }
975    
976 tim 2786 @ARTICLE{Fernandes2002,
977     author = {M. X. Fernandes and J. G. {de la Torre}},
978     title = {Brownian dynamics simulation of rigid particles of arbitrary shape
979     in external fields},
980     journal = {Biophysical Journal},
981     year = {2002},
982     volume = {83},
983     pages = {3039-3048},
984     number = {6},
985     month = {Dec},
986     abstract = {We have developed a Brownian dynamics simulation algorithm to generate
987     Brownian trajectories of an isolated, rigid particle of arbitrary
988     shape in the presence of electric fields or any other external agents.
989     Starting from the generalized diffusion tensor, which can be calculated
990     with the existing HYDRO software, the new program BROWNRIG (including
991     a case-specific subprogram for the external agent) carries out a
992     simulation that is analyzed later to extract the observable dynamic
993     properties. We provide a variety of examples of utilization of this
994     method, which serve as tests of its performance, and also illustrate
995     its applicability. Examples include free diffusion, transport in
996     an electric field, and diffusion in a restricting environment.},
997     annote = {633AD Times Cited:2 Cited References Count:43},
998     issn = {0006-3495},
999     uri = {<Go to ISI>://000180256300012},
1000 tim 2685 }
1001    
1002 tim 2786 @ARTICLE{Gay1981,
1003     author = {J. G. Gay and B. J. Berne},
1004     title = {Modification of the Overlap Potential to Mimic a Linear Site-Site
1005     Potential},
1006     journal = {Journal of Chemical Physics},
1007     year = {1981},
1008     volume = {74},
1009     pages = {3316-3319},
1010     number = {6},
1011     annote = {Lj347 Times Cited:482 Cited References Count:13},
1012     issn = {0021-9606},
1013     uri = {<Go to ISI>://A1981LJ34700029},
1014 tim 2685 }
1015    
1016 tim 2786 @ARTICLE{Gelin1999,
1017     author = {M. F. Gelin},
1018     title = {Inertial effects in the Brownian dynamics with rigid constraints},
1019     journal = {Macromolecular Theory and Simulations},
1020     year = {1999},
1021     volume = {8},
1022     pages = {529-543},
1023     number = {6},
1024     month = {Nov},
1025     abstract = {To investigate the influence of inertial effects on the dynamics of
1026     an assembly of beads subjected to rigid constraints and placed in
1027     a buffer medium, a convenient method to introduce suitable generalized
1028     coordinates is presented. Without any restriction on the nature
1029     of the soft forces involved (both stochastic and deterministic),
1030     pertinent Langevin equations are derived. Provided that the Brownian
1031     forces are Gaussian and Markovian, the corresponding Fokker-Planck
1032     equation (FPE) is obtained in the complete phase space of generalized
1033     coordinates and momenta. The correct short time behavior for correlation
1034     functions (CFs) of generalized coordinates is established, and the
1035     diffusion equation with memory (DEM) is deduced from the FPE in
1036     the high friction Limit. The DEM is invoked to perform illustrative
1037     calculations in two dimensions of the orientational CFs for once
1038     broken nonrigid rods immobilized on a surface. These calculations
1039     reveal that the CFs under certain conditions exhibit an oscillatory
1040     behavior, which is irreproducible within the standard diffusion
1041     equation. Several methods are considered for the approximate solution
1042     of the DEM, and their application to three dimensional DEMs is discussed.},
1043     annote = {257MM Times Cited:2 Cited References Count:82},
1044     issn = {1022-1344},
1045     uri = {<Go to ISI>://000083785700002},
1046 tim 2685 }
1047    
1048 tim 2786 @BOOK{Goldstein2001,
1049     title = {Classical Mechanics},
1050     publisher = {Addison Wesley},
1051     year = {2001},
1052     author = {H. Goldstein and C. Poole and J. Safko},
1053     address = {San Francisco},
1054     edition = {3rd},
1055 tim 2685 }
1056    
1057 tim 2786 @ARTICLE{Gray2003,
1058     author = {J. J. Gray and S. Moughon and C. Wang and O. Schueler-Furman and
1059     B. Kuhlman and C. A. Rohl and D. Baker},
1060     title = {Protein-protein docking with simultaneous optimization of rigid-body
1061     displacement and side-chain conformations},
1062     journal = {Journal of Molecular Biology},
1063     year = {2003},
1064     volume = {331},
1065     pages = {281-299},
1066     number = {1},
1067     month = {Aug 1},
1068     abstract = {Protein-protein docking algorithms provide a means to elucidate structural
1069     details for presently unknown complexes. Here, we present and evaluate
1070     a new method to predict protein-protein complexes from the coordinates
1071     of the unbound monomer components. The method employs a low-resolution,
1072     rigid-body, Monte Carlo search followed by simultaneous optimization
1073     of backbone displacement and side-chain conformations using Monte
1074     Carlo minimization. Up to 10(5) independent simulations are carried
1075     out, and the resulting #decoys# are ranked using an energy function
1076     dominated by van der Waals interactions, an implicit solvation model,
1077     and an orientation-dependent hydrogen bonding potential. Top-ranking
1078     decoys are clustered to select the final predictions. Small-perturbation
1079     studies reveal the formation of binding funnels in 42 of 54 cases
1080     using coordinates derived from the bound complexes and in 32 of
1081     54 cases using independently determined coordinates of one or both
1082     monomers. Experimental binding affinities correlate with the calculated
1083     score function and explain the predictive success or failure of
1084     many targets. Global searches using one or both unbound components
1085     predict at least 25% of the native residue-residue contacts in 28
1086     of the 32 cases where binding funnels exist. The results suggest
1087     that the method may soon be useful for generating models of biologically
1088     important complexes from the structures of the isolated components,
1089     but they also highlight the challenges that must be met to achieve
1090     consistent and accurate prediction of protein-protein interactions.
1091     (C) 2003 Elsevier Ltd. All rights reserved.},
1092     annote = {704QL Times Cited:48 Cited References Count:60},
1093     issn = {0022-2836},
1094     uri = {<Go to ISI>://000184351300022},
1095 tim 2685 }
1096    
1097 tim 2786 @ARTICLE{Hao1993,
1098     author = {M. H. Hao and M. R. Pincus and S. Rackovsky and H. A. Scheraga},
1099     title = {Unfolding and Refolding of the Native Structure of Bovine Pancreatic
1100     Trypsin-Inhibitor Studied by Computer-Simulations},
1101     journal = {Biochemistry},
1102     year = {1993},
1103     volume = {32},
1104     pages = {9614-9631},
1105     number = {37},
1106     month = {Sep 21},
1107     abstract = {A new procedure for studying the folding and unfolding of proteins,
1108     with an application to bovine pancreatic trypsin inhibitor (BPTI),
1109     is reported. The unfolding and refolding of the native structure
1110     of the protein are characterized by the dimensions of the protein,
1111     expressed in terms of the three principal radii of the structure
1112     considered as an ellipsoid. A dynamic equation, describing the variations
1113     of the principal radii on the unfolding path, and a numerical procedure
1114     to solve this equation are proposed. Expanded and distorted conformations
1115     are refolded to the native structure by a dimensional-constraint
1116     energy minimization procedure. A unique and reproducible unfolding
1117     pathway for an intermediate of BPTI lacking the [30,51] disulfide
1118     bond is obtained. The resulting unfolded conformations are extended;
1119     they contain near-native local structure, but their longest principal
1120     radii are more than 2.5 times greater than that of the native structure.
1121     The most interesting finding is that the majority of expanded conformations,
1122     generated under various conditions, can be refolded closely to the
1123     native structure, as measured by the correct overall chain fold,
1124     by the rms deviations from the native structure of only 1.9-3.1
1125     angstrom, and by the energy differences of about 10 kcal/mol from
1126     the native structure. Introduction of the [30,51] disulfide bond
1127     at this stage, followed by minimization, improves the closeness
1128     of the refolded structures to the native structure, reducing the
1129     rms deviations to 0.9-2.0 angstrom. The unique refolding of these
1130     expanded structures over such a large conformational space implies
1131     that the folding is strongly dictated by the interactions in the
1132     amino acid sequence of BPTI. The simulations indicate that, under
1133     conditions that favor a compact structure as mimicked by the volume
1134     constraints in our algorithm; the expanded conformations have a
1135     strong tendency to move toward the native structure; therefore,
1136     they probably would be favorable folding intermediates. The results
1137     presented here support a general model for protein folding, i.e.,
1138     progressive formation of partially folded structural units, followed
1139     by collapse to the compact native structure. The general applicability
1140     of the procedure is also discussed.},
1141     annote = {Ly294 Times Cited:27 Cited References Count:57},
1142     issn = {0006-2960},
1143     uri = {<Go to ISI>://A1993LY29400014},
1144 tim 2685 }
1145    
1146 tim 2786 @ARTICLE{Hinsen2000,
1147     author = {K. Hinsen and A. J. Petrescu and S. Dellerue and M. C. Bellissent-Funel
1148     and G. R. Kneller},
1149     title = {Harmonicity in slow protein dynamics},
1150     journal = {Chemical Physics},
1151     year = {2000},
1152     volume = {261},
1153     pages = {25-37},
1154     number = {1-2},
1155     month = {Nov 1},
1156     abstract = {The slow dynamics of proteins around its native folded state is usually
1157     described by diffusion in a strongly anharmonic potential. In this
1158     paper, we try to understand the form and origin of the anharmonicities,
1159     with the principal aim of gaining a better understanding of the
1160     principal motion types, but also in order to develop more efficient
1161     numerical methods for simulating neutron scattering spectra of large
1162     proteins. First, we decompose a molecular dynamics (MD) trajectory
1163     of 1.5 ns for a C-phycocyanin dimer surrounded by a layer of water
1164     into three contributions that we expect to be independent: the global
1165     motion of the residues, the rigid-body motion of the sidechains
1166     relative to the backbone, and the internal deformations of the sidechains.
1167     We show that they are indeed almost independent by verifying the
1168     factorization of the incoherent intermediate scattering function.
1169     Then, we show that the global residue motions, which include all
1170     large-scale backbone motions, can be reproduced by a simple harmonic
1171     model which contains two contributions: a short-time vibrational
1172     term, described by a standard normal mode calculation in a local
1173     minimum, and a long-time diffusive term, described by Brownian motion
1174     in an effective harmonic potential. The potential and the friction
1175     constants were fitted to the MD data. The major anharmonic contribution
1176     to the incoherent intermediate scattering function comes from the
1177     rigid-body diffusion of the sidechains. This model can be used to
1178     calculate scattering functions for large proteins and for long-time
1179     scales very efficiently, and thus provides a useful complement to
1180     MD simulations, which are best suited for detailed studies on smaller
1181     systems or for shorter time scales. (C) 2000 Elsevier Science B.V.
1182     All rights reserved.},
1183     annote = {Sp. Iss. SI 368MT Times Cited:16 Cited References Count:31},
1184     issn = {0301-0104},
1185     uri = {<Go to ISI>://000090121700003},
1186 tim 2685 }
1187    
1188 tim 2786 @ARTICLE{Ho1992,
1189     author = {C. Ho and C. D. Stubbs},
1190     title = {Hydration at the Membrane Protein-Lipid Interface},
1191     journal = {Biophysical Journal},
1192     year = {1992},
1193     volume = {63},
1194     pages = {897-902},
1195     number = {4},
1196     month = {Oct},
1197     abstract = {Evidence has been found for the existence water at the protein-lipid
1198     hydrophobic interface ot the membrane proteins, gramicidin and apocytochrome
1199     C, using two related fluorescence spectroscopic approaches. The
1200     first approach exploited the fact that the presence of water in
1201     the excited state solvent cage of a fluorophore increases the rate
1202     of decay. For 1,6-diphenyl-1,3,5-hexatriene (DPH) and 1-palmitoyl-2-[[2-[4-(6-phenyl-trans-1,3,5-hexatrienyl)
1203     phenyl]ethyl]carbonyl]-3-sn-PC (DPH-PC), where the fluorophores
1204     are located in the hydrophobic core of the lipid bilayer, the introduction
1205     of gramicidin reduced the fluorescence lifetime, indicative of an
1206     increased presence of water in the bilayer. Since a high protein:lipid
1207     ratio was used, the fluorophores were forced to be adjacent to the
1208     protein hydrophobic surface, hence the presence of water in this
1209     region could be inferred. Cholesterol is known to reduce the water
1210     content of lipid bilayers and this effect was maintained at the
1211     protein-lipid interface with both gramicidin and apocytochrome C,
1212     again suggesting hydration in this region. The second approach was
1213     to use the fluorescence enhancement induced by exchanging deuterium
1214     oxide (D2O) for H2O. Both the fluorescence intensities of trimethylammonium-DPH,
1215     located in the lipid head group region, and of the gramicidin intrinsic
1216     tryptophans were greater in a D2O buffer compared with H2O, showing
1217     that the fluorophores were exposed to water in the bilayer at the
1218     protein-lipid interface. In the presence of cholesterol the fluorescence
1219     intensity ratio of D2O to H2O decreased, indicating a removal of
1220     water by the cholesterol, in keeping with the lifetime data. Altered
1221     hydration at the protein-lipid interface could affect conformation,
1222     thereby offering a new route by which membrane protein functioning
1223     may be modified.},
1224     annote = {Ju251 Times Cited:55 Cited References Count:44},
1225     issn = {0006-3495},
1226     uri = {<Go to ISI>://A1992JU25100002},
1227 tim 2685 }
1228    
1229 tim 2786 @ARTICLE{Huh2004,
1230     author = {Y. Huh and N. M. Cann},
1231     title = {Discrimination in isotropic, nematic, and smectic phases of chiral
1232     calamitic molecules: A computer simulation study},
1233     journal = {Journal of Chemical Physics},
1234     year = {2004},
1235     volume = {121},
1236     pages = {10299-10308},
1237     number = {20},
1238     month = {Nov 22},
1239     abstract = {Racemic fluids of chiral calamitic molecules are investigated with
1240     molecular dynamics simulations. In particular, the phase behavior
1241     as a function of density is examined for eight racemates. The relationship
1242     between chiral discrimination and orientational order in the phase
1243     is explored. We find that the transition from the isotropic phase
1244     to a liquid crystal phase is accompanied by an increase in chiral
1245     discrimination, as measured by differences in radial distributions.
1246     Among ordered phases, discrimination is largest for smectic phases
1247     with a significant preference for heterochiral contact within the
1248     layers. (C) 2004 American Institute of Physics.},
1249     annote = {870FJ Times Cited:0 Cited References Count:63},
1250     issn = {0021-9606},
1251     uri = {<Go to ISI>://000225042700059},
1252 tim 2685 }
1253    
1254 tim 2786 @ARTICLE{Izaguirre2001,
1255     author = {J. A. Izaguirre and D. P. Catarello and J. M. Wozniak and R. D. Skeel},
1256     title = {Langevin stabilization of molecular dynamics},
1257     journal = {Journal of Chemical Physics},
1258     year = {2001},
1259     volume = {114},
1260     pages = {2090-2098},
1261     number = {5},
1262     month = {Feb 1},
1263     abstract = {In this paper we show the possibility of using very mild stochastic
1264     damping to stabilize long time step integrators for Newtonian molecular
1265     dynamics. More specifically, stable and accurate integrations are
1266     obtained for damping coefficients that are only a few percent of
1267     the natural decay rate of processes of interest, such as the velocity
1268     autocorrelation function. Two new multiple time stepping integrators,
1269     Langevin Molly (LM) and Brunger-Brooks-Karplus-Molly (BBK-M), are
1270     introduced in this paper. Both use the mollified impulse method
1271     for the Newtonian term. LM uses a discretization of the Langevin
1272     equation that is exact for the constant force, and BBK-M uses the
1273     popular Brunger-Brooks-Karplus integrator (BBK). These integrators,
1274     along with an extrapolative method called LN, are evaluated across
1275     a wide range of damping coefficient values. When large damping coefficients
1276     are used, as one would for the implicit modeling of solvent molecules,
1277     the method LN is superior, with LM closely following. However, with
1278     mild damping of 0.2 ps(-1), LM produces the best results, allowing
1279     long time steps of 14 fs in simulations containing explicitly modeled
1280     flexible water. With BBK-M and the same damping coefficient, time
1281     steps of 12 fs are possible for the same system. Similar results
1282     are obtained for a solvated protein-DNA simulation of estrogen receptor
1283     ER with estrogen response element ERE. A parallel version of BBK-M
1284     runs nearly three times faster than the Verlet-I/r-RESPA (reversible
1285     reference system propagator algorithm) when using the largest stable
1286     time step on each one, and it also parallelizes well. The computation
1287     of diffusion coefficients for flexible water and ER/ERE shows that
1288     when mild damping of up to 0.2 ps-1 is used the dynamics are not
1289     significantly distorted. (C) 2001 American Institute of Physics.},
1290     annote = {397CQ Times Cited:14 Cited References Count:36},
1291     issn = {0021-9606},
1292     uri = {<Go to ISI>://000166676100020},
1293 tim 2685 }
1294    
1295 tim 2786 @ARTICLE{Gray2003,
1296     author = {J.~J Gray,S. Moughon, C. Wang },
1297     title = {Protein-protein docking with simultaneous optimization of rigid-body
1298     displacement and side-chain conformations},
1299     journal = {jmb},
1300     year = {2003},
1301     volume = {331},
1302     pages = {281-299},
1303 tim 2685 }
1304    
1305 tim 2786 @ARTICLE{Klimov1997,
1306     author = {D. K. Klimov and D. Thirumalai},
1307     title = {Viscosity dependence of the folding rates of proteins},
1308     journal = {Physical Review Letters},
1309     year = {1997},
1310     volume = {79},
1311     pages = {317-320},
1312     number = {2},
1313     month = {Jul 14},
1314     abstract = {The viscosity (eta) dependence of the folding rates for four sequences
1315     (the native state of three sequences is a beta sheet, while the
1316     fourth forms an alpha helix) is calculated for off-lattice models
1317     of proteins. Assuming that the dynamics is given by the Langevin
1318     equation, we show that the folding rates increase linearly at low
1319     viscosities eta, decrease as 1/eta at large eta, and have a maximum
1320     at intermediate values. The Kramers' theory of barrier crossing
1321     provides a quantitative fit of the numerical results. By mapping
1322     the simulation results to real proteins we estimate that for optimized
1323     sequences the time scale for forming a four turn alpha-helix topology
1324     is about 500 ns, whereas for beta sheet it is about 10 mu s.},
1325     annote = {Xk293 Times Cited:77 Cited References Count:17},
1326     issn = {0031-9007},
1327     uri = {<Go to ISI>://A1997XK29300035},
1328 tim 2685 }
1329    
1330 tim 2786 @ARTICLE{Lansac2001,
1331     author = {Y. Lansac and M. A. Glaser and N. A. Clark},
1332     title = {Microscopic structure and dynamics of a partial bilayer smectic liquid
1333     crystal},
1334     journal = {Physical Review E},
1335     year = {2001},
1336     volume = {6405},
1337     pages = {-},
1338     number = {5},
1339     month = {Nov},
1340     abstract = {Cyanobiphenyls (nCB's) represent a useful and intensively studied
1341     class of mesogens. Many of the peculiar properties of nCB's (e.g.,
1342     the occurence of the partial bilayer smectic-A(d) phase) are thought
1343     to be a manifestation of short-range antiparallel association of
1344     neighboring molecules, resulting from strong dipole-dipole interactions
1345     between cyano groups. To test and extend existing models of microscopic
1346     ordering in nCB's, we carry out large-scale atomistic simulation
1347     studies of the microscopic structure and dynamics of the Sm-A(d)
1348     phase of 4-octyl-4'-cyanobiphenyl (8CB). We compute a variety of
1349     thermodynamic, structural, and dynamical properties for this material,
1350     and make a detailed comparison of our results with experimental
1351     measurements in order to validate our molecular model. Semiquantitative
1352     agreement with experiment is found: the smectic layer spacing and
1353     mass density are well reproduced, translational diffusion constants
1354     are similar to experiment, but the orientational ordering of alkyl
1355     chains is overestimated. This simulation provides a detailed picture
1356     of molecular conformation, smectic layer structure, and intermolecular
1357     correlations in Sm-A(d) 8CB, and demonstrates that pronounced short-range
1358     antiparallel association of molecules arising from dipole-dipole
1359     interactions plays a dominant role in determining the molecular-scale
1360     structure of 8CB.},
1361     annote = {Part 1 496QF Times Cited:10 Cited References Count:60},
1362     issn = {1063-651X},
1363     uri = {<Go to ISI>://000172406900063},
1364 tim 2685 }
1365    
1366 tim 2786 @ARTICLE{Lansac2003,
1367     author = {Y. Lansac and P. K. Maiti and N. A. Clark and M. A. Glaser},
1368     title = {Phase behavior of bent-core molecules},
1369     journal = {Physical Review E},
1370     year = {2003},
1371     volume = {67},
1372     pages = {-},
1373     number = {1},
1374     month = {Jan},
1375     abstract = {Recently, a new class of smectic liquid crystal phases characterized
1376     by the spontaneous formation of macroscopic chiral domains from
1377     achiral bent-core molecules has been discovered. We have carried
1378     out Monte Carlo simulations of a minimal hard spherocylinder dimer
1379     model to investigate the role of excluded volume interactions in
1380     determining the phase behavior of bent-core materials and to probe
1381     the molecular origins of polar and chiral symmetry breaking. We
1382     present the phase diagram of hard spherocylinder dimers of length-diameter
1383     ratio of 5 as a function of pressure or density and dimer opening
1384     angle psi. With decreasing psi, a transition from a nonpolar to
1385     a polar smectic A phase is observed near psi=167degrees, and the
1386     nematic phase becomes thermodynamically unstable for psi<135degrees.
1387     Free energy calculations indicate that the antipolar smectic A (SmAP(A))
1388     phase is more stable than the polar smectic A phase (SmAP(F)). No
1389     chiral smectic or biaxial nematic phases were found.},
1390     annote = {Part 1 646CM Times Cited:15 Cited References Count:38},
1391     issn = {1063-651X},
1392     uri = {<Go to ISI>://000181017300042},
1393 tim 2685 }
1394    
1395 tim 2786 @BOOK{Leach2001,
1396     title = {Molecular Modeling: Principles and Applications},
1397     publisher = {Pearson Educated Limited},
1398     year = {2001},
1399     author = {A. Leach},
1400     address = {Harlow, England},
1401     edition = {2nd},
1402 tim 2685 }
1403    
1404 tim 2786 @BOOK{Leimkuhler2004,
1405     title = {Simulating Hamiltonian Dynamics},
1406     publisher = {Cambridge University Press},
1407     year = {2004},
1408     author = {B. Leimkuhler and S. Reich},
1409     address = {Cambridge},
1410 tim 2685 }
1411    
1412 tim 2786 @ARTICLE{Levelut1981,
1413     author = {A. M. Levelut and R. J. Tarento and F. Hardouin and M. F. Achard
1414     and G. Sigaud},
1415     title = {Number of Sa Phases},
1416     journal = {Physical Review A},
1417     year = {1981},
1418     volume = {24},
1419     pages = {2180-2186},
1420     number = {4},
1421     annote = {Ml751 Times Cited:96 Cited References Count:16},
1422     issn = {1050-2947},
1423     uri = {<Go to ISI>://A1981ML75100057},
1424 tim 2685 }
1425    
1426 tim 2786 @ARTICLE{Lieb1982,
1427     author = {W. R. Lieb and M. Kovalycsik and R. Mendelsohn},
1428     title = {Do Clinical-Levels of General-Anesthetics Affect Lipid Bilayers -
1429     Evidence from Raman-Scattering},
1430     journal = {Biochimica Et Biophysica Acta},
1431     year = {1982},
1432     volume = {688},
1433     pages = {388-398},
1434     number = {2},
1435     annote = {Nu461 Times Cited:40 Cited References Count:28},
1436     issn = {0006-3002},
1437     uri = {<Go to ISI>://A1982NU46100012},
1438 tim 2685 }
1439    
1440 tim 2786 @ARTICLE{Link1997,
1441     author = {D. R. Link and G. Natale and R. Shao and J. E. Maclennan and N. A.
1442     Clark and E. Korblova and D. M. Walba},
1443     title = {Spontaneous formation of macroscopic chiral domains in a fluid smectic
1444     phase of achiral molecules},
1445     journal = {Science},
1446     year = {1997},
1447     volume = {278},
1448     pages = {1924-1927},
1449     number = {5345},
1450     month = {Dec 12},
1451     abstract = {A smectic liquid-crystal phase made from achiral molecules with bent
1452     cores was found to have fluid layers that exhibit two spontaneous
1453     symmetry-breaking instabilities: polar molecular orientational ordering
1454     about the layer normal and molecular tilt. These instabilities combine
1455     to form a chiral layer structure with a handedness that depends
1456     on the sign of the tilt. The bulk states are either antiferroelectric-racemic,
1457     with the layer polar direction and handedness alternating in sign
1458     from layer to layer, or antiferroelectric-chiral, which is of uniform
1459     layer handedness. Both states exhibit an electric field-induced
1460     transition from antiferroelectric to ferroelectric.},
1461     annote = {Yl002 Times Cited:407 Cited References Count:25},
1462     issn = {0036-8075},
1463     uri = {<Go to ISI>://A1997YL00200028},
1464 tim 2685 }
1465    
1466 tim 2786 @ARTICLE{Liwo2005,
1467     author = {A. Liwo and M. Khalili and H. A. Scheraga},
1468     title = {Ab initio simulations of protein folding pathways by molecular dynamics
1469     with the united-residue (UNRES) model of polypeptide chains},
1470     journal = {Febs Journal},
1471     year = {2005},
1472     volume = {272},
1473     pages = {359-360},
1474     month = {Jul},
1475     annote = {Suppl. 1 005MG Times Cited:0 Cited References Count:0},
1476     issn = {1742-464X},
1477     uri = {<Go to ISI>://000234826102043},
1478 tim 2685 }
1479    
1480 tim 2786 @BOOK{Marion1990,
1481     title = {Classical Dynamics of Particles and Systems},
1482     publisher = {Academic Press},
1483     year = {1990},
1484     author = {J.~B. Marion},
1485     address = {New York},
1486     edition = {2rd},
1487 tim 2685 }
1488    
1489 tim 2786 @ARTICLE{McLachlan1993,
1490     author = {R.~I McLachlan},
1491     title = {Explicit Lie-Poisson integration and the Euler equations},
1492     journal = {prl},
1493     year = {1993},
1494     volume = {71},
1495     pages = {3043-3046},
1496 tim 2685 }
1497    
1498 tim 2786 @ARTICLE{McLachlan2005,
1499     author = {R. I. McLachlan and A. Zanna},
1500     title = {The discrete Moser-Veselov algorithm for the free rigid body, revisited},
1501     journal = {Foundations of Computational Mathematics},
1502     year = {2005},
1503     volume = {5},
1504     pages = {87-123},
1505     number = {1},
1506     month = {Feb},
1507     abstract = {In this paper we revisit the Moser-Veselov description of the free
1508     rigid body in body coordinates, which, in the 3 x 3 case, can be
1509     implemented as an explicit, second-order, integrable approximation
1510     of the continuous solution. By backward error analysis, we study
1511     the modified vector field which is integrated exactly by the discrete
1512     algorithm. We deduce that the discrete Moser-Veselov (DMV) is well
1513     approximated to higher order by time reparametrizations of the continuous
1514     equations (modified vector field). We use the modified vector field
1515     to scale the initial data of the DMV to improve the order of the
1516     approximation and show the equivalence of the DMV and the RATTLE
1517     algorithm. Numerical integration with these preprocessed initial
1518     data is several orders of magnitude more accurate than the original
1519     DMV and RATTLE approach.},
1520     annote = {911NS Times Cited:0 Cited References Count:14},
1521     issn = {1615-3375},
1522     uri = {<Go to ISI>://000228011900003},
1523 tim 2685 }
1524    
1525 tim 2786 @ARTICLE{Memmer2002,
1526     author = {R. Memmer},
1527     title = {Liquid crystal phases of achiral banana-shaped molecules: a computer
1528     simulation study},
1529     journal = {Liquid Crystals},
1530     year = {2002},
1531     volume = {29},
1532     pages = {483-496},
1533     number = {4},
1534     month = {Apr},
1535     abstract = {The phase behaviour of achiral banana-shaped molecules was studied
1536     by computer simulation. The banana-shaped molecules were described
1537     by model intermolecular interactions based on the Gay-Berne potential.
1538     The characteristic molecular structure was considered by joining
1539     two calamitic Gay-Berne particles through a bond to form a biaxial
1540     molecule of point symmetry group C-2v with a suitable bending angle.
1541     The dependence on temperature of systems of N=1024 rigid banana-shaped
1542     molecules with bending angle phi=140degrees has been studied by
1543     means of Monte Carlo simulations in the isobaric-isothermal ensemble
1544     (NpT). On cooling an isotropic system, two phase transitions characterized
1545     by phase transition enthalpy, entropy and relative volume change
1546     have been observed. For the first time by computer simulation of
1547     a many-particle system of banana-shaped molecules, at low temperature
1548     an untilted smectic phase showing a global phase biaxiality and
1549     a spontaneous local polarization in the layers, i.e. a local polar
1550     arrangement of the steric dipoles, with an antiferroelectric-like
1551     superstructure could be proven, a phase structure which recently
1552     has been discovered experimentally. Additionally, at intermediate
1553     temperature a nematic-like phase has been proved, whereas close
1554     to the transition to the smectic phase hints of a spontaneous achiral
1555     symmetry breaking have been determined. Here, in the absence of
1556     a layered structure a helical superstructure has been formed. All
1557     phases have been characterized by visual representations of selected
1558     configurations, scalar and pseudoscalar correlation functions, and
1559     order parameters.},
1560     annote = {531HT Times Cited:12 Cited References Count:37},
1561     issn = {0267-8292},
1562     uri = {<Go to ISI>://000174410500001},
1563 tim 2685 }
1564    
1565 tim 2786 @ARTICLE{Metropolis1949,
1566     author = {N. Metropolis and S. Ulam},
1567     title = {The $\mbox{Monte Carlo}$ Method},
1568     journal = {J. Am. Stat. Ass.},
1569     year = {1949},
1570     volume = {44},
1571     pages = {335-341},
1572 tim 2685 }
1573    
1574 tim 2786 @ARTICLE{Mielke2004,
1575     author = {S. P. Mielke and W. H. Fink and V. V. Krishnan and N. Gronbech-Jensen
1576     and C. J. Benham},
1577     title = {Transcription-driven twin supercoiling of a DNA loop: A Brownian
1578     dynamics study},
1579     journal = {Journal of Chemical Physics},
1580     year = {2004},
1581     volume = {121},
1582     pages = {8104-8112},
1583     number = {16},
1584     month = {Oct 22},
1585     abstract = {The torque generated by RNA polymerase as it tracks along double-stranded
1586     DNA can potentially induce long-range structural deformations integral
1587     to mechanisms of biological significance in both prokaryotes and
1588     eukaryotes. In this paper, we introduce a dynamic computer model
1589     for investigating this phenomenon. Duplex DNA is represented as
1590     a chain of hydrodynamic beads interacting through potentials of
1591     linearly elastic stretching, bending, and twisting, as well as excluded
1592     volume. The chain, linear when relaxed, is looped to form two open
1593     but topologically constrained subdomains. This permits the dynamic
1594     introduction of torsional stress via a centrally applied torque.
1595     We simulate by Brownian dynamics the 100 mus response of a 477-base
1596     pair B-DNA template to the localized torque generated by the prokaryotic
1597     transcription ensemble. Following a sharp rise at early times, the
1598     distributed twist assumes a nearly constant value in both subdomains,
1599     and a succession of supercoiling deformations occurs as superhelical
1600     stress is increasingly partitioned to writhe. The magnitude of writhe
1601     surpasses that of twist before also leveling off when the structure
1602     reaches mechanical equilibrium with the torsional load. Superhelicity
1603     is simultaneously right handed in one subdomain and left handed
1604     in the other, as predicted by the #transcription-induced##twin-supercoiled-domain#
1605     model [L. F. Liu and J. C. Wang, Proc. Natl. Acad. Sci. U.S.A. 84,
1606     7024 (1987)]. The properties of the chain at the onset of writhing
1607     agree well with predictions from theory, and the generated stress
1608     is ample for driving secondary structural transitions in physiological
1609     DNA. (C) 2004 American Institute of Physics.},
1610     annote = {861ZF Times Cited:3 Cited References Count:34},
1611     issn = {0021-9606},
1612     uri = {<Go to ISI>://000224456500064},
1613 tim 2685 }
1614    
1615 tim 2786 @ARTICLE{Naess2001,
1616     author = {S. N. Naess and H. M. Adland and A. Mikkelsen and A. Elgsaeter},
1617     title = {Brownian dynamics simulation of rigid bodies and segmented polymer
1618     chains. Use of Cartesian rotation vectors as the generalized coordinates
1619     describing angular orientations},
1620     journal = {Physica A},
1621     year = {2001},
1622     volume = {294},
1623     pages = {323-339},
1624     number = {3-4},
1625     month = {May 15},
1626     abstract = {The three Eulerian angles constitute the classical choice of generalized
1627     coordinates used to describe the three degrees of rotational freedom
1628     of a rigid body, but it has long been known that this choice yields
1629     singular equations of motion. The latter is also true when Eulerian
1630     angles are used in Brownian dynamics analyses of the angular orientation
1631     of single rigid bodies and segmented polymer chains. Starting from
1632     kinetic theory we here show that by instead employing the three
1633     components of Cartesian rotation vectors as the generalized coordinates
1634     describing angular orientation, no singularity appears in the configuration
1635     space diffusion equation and the associated Brownian dynamics algorithm.
1636     The suitability of Cartesian rotation vectors in Brownian dynamics
1637     simulations of segmented polymer chains with spring-like or ball-socket
1638     joints is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.},
1639     annote = {433TA Times Cited:7 Cited References Count:19},
1640     issn = {0378-4371},
1641     uri = {<Go to ISI>://000168774800005},
1642 tim 2685 }
1643    
1644 tim 2786 @ARTICLE{Niori1996,
1645     author = {T. Niori and T. Sekine and J. Watanabe and T. Furukawa and H. Takezoe},
1646     title = {Distinct ferroelectric smectic liquid crystals consisting of banana
1647     shaped achiral molecules},
1648     journal = {Journal of Materials Chemistry},
1649     year = {1996},
1650     volume = {6},
1651     pages = {1231-1233},
1652     number = {7},
1653     month = {Jul},
1654     abstract = {The synthesis of a banana-shaped molecule is reported and it is found
1655     that the smectic phase which it forms is biaxial with the molecules
1656     packed in the best,direction into a layer. Because of this characteristic
1657     packing, spontaneous polarization appears parallel to the layer
1658     and switches on reversal of an applied electric field. This is the
1659     first obvious example of ferroelectricity in an achiral smectic
1660     phase and is ascribed to the C-2v symmetry of the molecular packing.},
1661     annote = {Ux855 Times Cited:447 Cited References Count:18},
1662     issn = {0959-9428},
1663     uri = {<Go to ISI>://A1996UX85500025},
1664 tim 2685 }
1665    
1666 tim 2786 @ARTICLE{Noguchi2002,
1667     author = {H. Noguchi and M. Takasu},
1668     title = {Structural changes of pulled vesicles: A Brownian dynamics simulation},
1669     journal = {Physical Review E},
1670     year = {2002},
1671     volume = {65},
1672     pages = {-},
1673     number = {5},
1674     month = {may},
1675     abstract = {We Studied the structural changes of bilayer vesicles induced by mechanical
1676     forces using a Brownian dynamics simulation. Two nanoparticles,
1677     which interact repulsively with amphiphilic molecules, are put inside
1678     a vesicle. The position of one nanoparticle is fixed, and the other
1679     is moved by a constant force as in optical-trapping experiments.
1680     First, the pulled vesicle stretches into a pear or tube shape. Then
1681     the inner monolayer in the tube-shaped region is deformed, and a
1682     cylindrical structure is formed between two vesicles. After stretching
1683     the cylindrical region, fission occurs near the moved vesicle. Soon
1684     after this the cylindrical region shrinks. The trapping force similar
1685     to 100 pN is needed to induce the formation of the cylindrical structure
1686     and fission.},
1687     annote = {Part 1 568PX Times Cited:5 Cited References Count:39},
1688     issn = {1063-651X},
1689     uri = {<Go to ISI>://000176552300084},
1690 tim 2685 }
1691    
1692 tim 2786 @ARTICLE{Noguchi2001,
1693     author = {H. Noguchi and M. Takasu},
1694     title = {Fusion pathways of vesicles: A Brownian dynamics simulation},
1695     journal = {Journal of Chemical Physics},
1696     year = {2001},
1697     volume = {115},
1698     pages = {9547-9551},
1699     number = {20},
1700     month = {Nov 22},
1701     abstract = {We studied the fusion dynamics of vesicles using a Brownian dynamics
1702     simulation. Amphiphilic molecules spontaneously form vesicles with
1703     a bilayer structure. Two vesicles come into contact and form a stalk
1704     intermediate, in which a necklike structure only connects the outer
1705     monolayers, as predicted by the stalk hypothesis. We have found
1706     a new pathway of pore opening from stalks at high temperature: the
1707     elliptic stalk bends and contact between the ends of the arc-shaped
1708     stalk leads to pore opening. On the other hand, we have clarified
1709     that the pore-opening process at low temperature agrees with the
1710     modified stalk model: a pore is induced by contact between the inner
1711     monolayers inside the stalk. (C) 2001 American Institute of Physics.},
1712     annote = {491UW Times Cited:48 Cited References Count:25},
1713     issn = {0021-9606},
1714     uri = {<Go to ISI>://000172129300049},
1715 tim 2685 }
1716    
1717 tim 2786 @ARTICLE{Orlandi2006,
1718     author = {S. Orlandi and R. Berardi and J. Steltzer and C. Zannoni},
1719     title = {A Monte Carlo study of the mesophases formed by polar bent-shaped
1720     molecules},
1721     journal = {Journal of Chemical Physics},
1722     year = {2006},
1723     volume = {124},
1724     pages = {-},
1725     number = {12},
1726     month = {Mar 28},
1727     abstract = {Liquid crystal phases formed by bent-shaped (or #banana#) molecules
1728     are currently of great interest. Here we investigate by Monte Carlo
1729     computer simulations the phases formed by rigid banana molecules
1730     modeled combining three Gay-Berne sites and containing either one
1731     central or two lateral and transversal dipoles. We show that changing
1732     the dipole position and orientation has a profound effect on the
1733     mesophase stability and molecular organization. In particular, we
1734     find a uniaxial nematic phase only for off-center dipolar models
1735     and tilted phases only for the one with terminal dipoles. (c) 2006
1736     American Institute of Physics.},
1737     annote = {028CP Times Cited:0 Cited References Count:42},
1738     issn = {0021-9606},
1739     uri = {<Go to ISI>://000236464000072},
1740 tim 2685 }
1741    
1742 tim 2786 @ARTICLE{Palacios1998,
1743     author = {J. L. Garcia-Palacios and F. J. Lazaro},
1744     title = {Langevin-dynamics study of the dynamical properties of small magnetic
1745     particles},
1746     journal = {Physical Review B},
1747     year = {1998},
1748     volume = {58},
1749     pages = {14937-14958},
1750     number = {22},
1751     month = {Dec 1},
1752     abstract = {The stochastic Landau-Lifshitz-Gilbert equation of motion for a classical
1753     magnetic moment is numerically solved (properly observing the customary
1754     interpretation of it as a Stratonovich stochastic differential equation),
1755     in order to study the dynamics of magnetic nanoparticles. The corresponding
1756     Langevin-dynamics approach allows for the study of the fluctuating
1757     trajectories of individual magnetic moments, where we have encountered
1758     remarkable phenomena in the overbarrier rotation process, such as
1759     crossing-back or multiple crossing of the potential barrier, rooted
1760     in the gyromagnetic nature of the system. Concerning averaged quantities,
1761     we study the linear dynamic response of the archetypal ensemble
1762     of noninteracting classical magnetic moments with axially symmetric
1763     magnetic anisotropy. The results are compared with different analytical
1764     expressions used to model the relaxation of nanoparticle ensembles,
1765     assessing their accuracy. It has been found that, among a number
1766     of heuristic expressions for the linear dynamic susceptibility,
1767     only the simple formula proposed by Shliomis and Stepanov matches
1768     the coarse features of the susceptibility reasonably. By comparing
1769     the numerical results with the asymptotic formula of Storonkin {Sov.
1770     Phys. Crystallogr. 30, 489 (1985) [Kristallografiya 30, 841 (1985)]},
1771     the effects of the intra-potential-well relaxation modes on the
1772     low-temperature longitudinal dynamic response have been assessed,
1773     showing their relatively small reflection in the susceptibility
1774     curves but their dramatic influence on the phase shifts. Comparison
1775     of the numerical results with the exact zero-damping expression
1776     for the transverse susceptibility by Garanin, Ishchenko, and Panina
1777     {Theor. Math. Phys. (USSR) 82, 169 (1990) [Teor. Mat. Fit. 82, 242
1778     (1990)]}, reveals a sizable contribution of the spread of the precession
1779     frequencies of the magnetic moment in the anisotropy field to the
1780     dynamic response at intermediate-to-high temperatures. [S0163-1829
1781     (98)00446-9].},
1782     annote = {146XW Times Cited:66 Cited References Count:45},
1783     issn = {0163-1829},
1784     uri = {<Go to ISI>://000077460000052},
1785 tim 2685 }
1786    
1787 tim 2786 @ARTICLE{Pastor1988,
1788     author = {R. W. Pastor and B. R. Brooks and A. Szabo},
1789     title = {An Analysis of the Accuracy of Langevin and Molecular-Dynamics Algorithms},
1790     journal = {Molecular Physics},
1791     year = {1988},
1792     volume = {65},
1793     pages = {1409-1419},
1794     number = {6},
1795     month = {Dec 20},
1796     annote = {T1302 Times Cited:61 Cited References Count:26},
1797     issn = {0026-8976},
1798     uri = {<Go to ISI>://A1988T130200011},
1799 tim 2685 }
1800    
1801 tim 2786 @ARTICLE{Pelzl1999,
1802     author = {G. Pelzl and S. Diele and W. Weissflog},
1803     title = {Banana-shaped compounds - A new field of liquid crystals},
1804     journal = {Advanced Materials},
1805     year = {1999},
1806     volume = {11},
1807     pages = {707-724},
1808     number = {9},
1809     month = {Jul 5},
1810     annote = {220RC Times Cited:313 Cited References Count:49},
1811     issn = {0935-9648},
1812     uri = {<Go to ISI>://000081680400007},
1813 tim 2685 }
1814    
1815 tim 2786 @ARTICLE{Perram1985,
1816     author = {J. W. Perram and M. S. Wertheim},
1817     title = {Statistical-Mechanics of Hard Ellipsoids .1. Overlap Algorithm and
1818     the Contact Function},
1819     journal = {Journal of Computational Physics},
1820     year = {1985},
1821     volume = {58},
1822     pages = {409-416},
1823     number = {3},
1824     annote = {Akb93 Times Cited:71 Cited References Count:12},
1825     issn = {0021-9991},
1826     uri = {<Go to ISI>://A1985AKB9300008},
1827 tim 2685 }
1828    
1829 tim 2786 @ARTICLE{Petrache1998,
1830     author = {H. I. Petrache and S. Tristram-Nagle and J. F. Nagle},
1831     title = {Fluid phase structure of EPC and DMPC bilayers},
1832     journal = {Chemistry and Physics of Lipids},
1833     year = {1998},
1834     volume = {95},
1835     pages = {83-94},
1836     number = {1},
1837     month = {Sep},
1838     abstract = {X-ray diffraction data taken at high instrumental resolution were
1839     obtained for EPC and DMPC under various osmotic pressures, primarily
1840     at T = 30 degrees C. The headgroup thickness D-HH was obtained from
1841     relative electron density profiles. By using volumetric results
1842     and by comparing to gel phase DPPC we obtain areas A(EPC)(F) = 69.4
1843     +/- 1.1 Angstrom(2) and A(DMPC)(F) = 59.7 +/- 0.2 Angstrom(2). The
1844     analysis also gives estimates for the areal compressibility K-A.
1845     The A(F) results lead to other structural results regarding membrane
1846     thickness and associated waters. Using the recently determined absolute
1847     electrons density profile of DPPC, the AF results also lead to absolute
1848     electron density profiles and absolute continuous transforms \F(q)\
1849     for EPC and DMPC, Limited measurements of temperature dependence
1850     show directly that fluctuations increase with increasing temperature
1851     and that a small decrease in bending modulus K-c accounts for the
1852     increased water spacing reported by Simon et al. (1995) Biophys.
1853     J. 69, 1473-1483. (C) 1998 Elsevier Science Ireland Ltd. All rights
1854     reserved.},
1855     annote = {130AT Times Cited:98 Cited References Count:39},
1856     issn = {0009-3084},
1857     uri = {<Go to ISI>://000076497600007},
1858 tim 2685 }
1859    
1860 tim 2786 @ARTICLE{Powles1973,
1861     author = {J.~G. Powles},
1862     title = {A general ellipsoid can not always serve as a modle for the rotational
1863     diffusion properties of arbitrary shaped rigid molecules},
1864     journal = {Advan. Phys.},
1865     year = {1973},
1866     volume = {22},
1867     pages = {1-56},
1868 tim 2685 }
1869    
1870 tim 2786 @ARTICLE{Recio2004,
1871     author = {J. Fernandez-Recio and M. Totrov and R. Abagyan},
1872     title = {Identification of protein-protein interaction sites from docking
1873     energy landscapes},
1874     journal = {Journal of Molecular Biology},
1875     year = {2004},
1876     volume = {335},
1877     pages = {843-865},
1878     number = {3},
1879     month = {Jan 16},
1880     abstract = {Protein recognition is one of the most challenging and intriguing
1881     problems in structural biology. Despite all the available structural,
1882     sequence and biophysical information about protein-protein complexes,
1883     the physico-chemical patterns, if any, that make a protein surface
1884     likely to be involved in protein-protein interactions, remain elusive.
1885     Here, we apply protein docking simulations and analysis of the interaction
1886     energy landscapes to identify protein-protein interaction sites.
1887     The new protocol for global docking based on multi-start global
1888     energy optimization of an allatom model of the ligand, with detailed
1889     receptor potentials and atomic solvation parameters optimized in
1890     a training set of 24 complexes, explores the conformational space
1891     around the whole receptor without restrictions. The ensembles of
1892     the rigid-body docking solutions generated by the simulations were
1893     subsequently used to project the docking energy landscapes onto
1894     the protein surfaces. We found that highly populated low-energy
1895     regions consistently corresponded to actual binding sites. The procedure
1896     was validated on a test set of 21 known protein-protein complexes
1897     not used in the training set. As much as 81% of the predicted high-propensity
1898     patch residues were located correctly in the native interfaces.
1899     This approach can guide the design of mutations on the surfaces
1900     of proteins, provide geometrical details of a possible interaction,
1901     and help to annotate protein surfaces in structural proteomics.
1902     (C) 2003 Elsevier Ltd. All rights reserved.},
1903     annote = {763GQ Times Cited:21 Cited References Count:59},
1904     issn = {0022-2836},
1905     uri = {<Go to ISI>://000188066900016},
1906 tim 2685 }
1907    
1908 tim 2786 @ARTICLE{Reddy2006,
1909     author = {R. A. Reddy and C. Tschierske},
1910     title = {Bent-core liquid crystals: polar order, superstructural chirality
1911     and spontaneous desymmetrisation in soft matter systems},
1912     journal = {Journal of Materials Chemistry},
1913     year = {2006},
1914     volume = {16},
1915     pages = {907-961},
1916     number = {10},
1917     abstract = {An overview on the recent developments in the field of liquid crystalline
1918     bent-core molecules (so-called banana liquid crystals) is given.
1919     After some basic issues, dealing with general aspects of the systematisation
1920     of the mesophases, development of polar order and chirality in this
1921     class of LC systems and explaining some general structure-property
1922     relationships, we focus on fascinating new developments in this
1923     field, such as modulated, undulated and columnar phases, so-called
1924     B7 phases, phase biaxiality, ferroelectric and antiferroelectric
1925     polar order in smectic and columnar phases, amplification and switching
1926     of chirality and the spontaneous formation of superstructural and
1927     supramolecular chirality.},
1928     annote = {021NS Times Cited:2 Cited References Count:316},
1929     issn = {0959-9428},
1930     uri = {<Go to ISI>://000235990500001},
1931 tim 2685 }
1932    
1933 tim 2786 @ARTICLE{Ros2005,
1934     author = {M. B. Ros and J. L. Serrano and M. R. {de la Fuente} and C. L. Folcia},
1935     title = {Banana-shaped liquid crystals: a new field to explore},
1936     journal = {Journal of Materials Chemistry},
1937     year = {2005},
1938     volume = {15},
1939     pages = {5093-5098},
1940     number = {48},
1941     abstract = {The recent literature in the field of liquid crystals shows that banana-shaped
1942     mesogenic materials represent a bewitching and stimulating field
1943     of research that is interesting both academically and in terms of
1944     applications. Numerous topics are open to investigation in this
1945     area because of the rich phenomenology and new possibilities that
1946     these materials offer. The principal concepts in this area are reviewed
1947     along with recent results. In addition, new directions to stimulate
1948     further research activities are highlighted.},
1949     annote = {990XA Times Cited:3 Cited References Count:72},
1950     issn = {0959-9428},
1951     uri = {<Go to ISI>://000233775500001},
1952 tim 2685 }
1953    
1954 tim 2786 @ARTICLE{Roy2005,
1955     author = {A. Roy and N. V. Madhusudana},
1956     title = {A frustrated packing model for the B-6-B-1-SmAP(A) sequence of phases
1957     in banana shaped molecules},
1958     journal = {European Physical Journal E},
1959     year = {2005},
1960     volume = {18},
1961     pages = {253-258},
1962     number = {3},
1963     month = {Nov},
1964     abstract = {A vast majority of compounds with bent core or banana shaped molecules
1965     exhibit the phase sequence B-6-B-1-B-2 as the chain length is increased
1966     in a homologous series. The B-6 phase has an intercalated fluid
1967     lamellar structure with a layer spacing of half the molecular length.
1968     The B-1 phase has a two dimensionally periodic rectangular columnar
1969     structure. The B-2 phase has a monolayer fluid lamellar structure
1970     with molecules tilted with respect to the layer normal. Neglecting
1971     the tilt order of the molecules in the B-2 phase, we have developed
1972     a frustrated packing model to describe this phase sequence qualitatively.
1973     The model has some analogy with that of the frustrated smectics
1974     exhibited by highly polar rod like molecules.},
1975     annote = {985FW Times Cited:0 Cited References Count:30},
1976     issn = {1292-8941},
1977     uri = {<Go to ISI>://000233363300002},
1978 tim 2685 }
1979    
1980 tim 2786 @ARTICLE{Sandu1999,
1981     author = {A. Sandu and T. Schlick},
1982     title = {Masking resonance artifacts in force-splitting methods for biomolecular
1983     simulations by extrapolative Langevin dynamics},
1984     journal = {Journal of Computational Physics},
1985     year = {1999},
1986     volume = {151},
1987     pages = {74-113},
1988     number = {1},
1989     month = {May 1},
1990     abstract = {Numerical resonance artifacts have become recognized recently as a
1991     limiting factor to increasing the timestep in multiple-timestep
1992     (MTS) biomolecular dynamics simulations. At certain timesteps correlated
1993     to internal motions (e.g., 5 fs, around half the period of the fastest
1994     bond stretch, T-min), visible inaccuracies or instabilities can
1995     occur. Impulse-MTS schemes are vulnerable to these resonance errors
1996     since large energy pulses are introduced to the governing dynamics
1997     equations when the slow forces are evaluated. We recently showed
1998     that such resonance artifacts can be masked significantly by applying
1999     extrapolative splitting to stochastic dynamics. Theoretical and
2000     numerical analyses of force-splitting integrators based on the Verlet
2001     discretization are reported here for linear models to explain these
2002     observations and to suggest how to construct effective integrators
2003     for biomolecular dynamics that balance stability with accuracy.
2004     Analyses for Newtonian dynamics demonstrate the severe resonance
2005     patterns of the Impulse splitting, with this severity worsening
2006     with the outer timestep. Delta t: Constant Extrapolation is generally
2007     unstable, but the disturbances do not grow with Delta t. Thus. the
2008     stochastic extrapolative combination can counteract generic instabilities
2009     and largely alleviate resonances with a sufficiently strong Langevin
2010     heat-bath coupling (gamma), estimates for which are derived here
2011     based on the fastest and slowest motion periods. These resonance
2012     results generally hold for nonlinear test systems: a water tetramer
2013     and solvated protein. Proposed related approaches such as Extrapolation/Correction
2014     and Midpoint Extrapolation work better than Constant Extrapolation
2015     only for timesteps less than T-min/2. An effective extrapolative
2016     stochastic approach for biomolecules that balances long-timestep
2017     stability with good accuracy for the fast subsystem is then applied
2018     to a biomolecule using a three-class partitioning: the medium forces
2019     are treated by Midpoint Extrapolation via position Verlet, and the
2020     slow forces are incorporated by Constant Extrapolation. The resulting
2021     algorithm (LN) performs well on a solvated protein system in terms
2022     of thermodynamic properties and yields an order of magnitude speedup
2023     with respect to single-timestep Langevin trajectories. Computed
2024     spectral density functions also show how the Newtonian modes can
2025     be approximated by using a small gamma in the range Of 5-20 ps(-1).
2026     (C) 1999 Academic Press.},
2027     annote = {194FM Times Cited:14 Cited References Count:32},
2028     issn = {0021-9991},
2029     uri = {<Go to ISI>://000080181500004},
2030 tim 2685 }
2031    
2032 tim 2786 @ARTICLE{Satoh1996,
2033     author = {K. Satoh and S. Mita and S. Kondo},
2034     title = {Monte Carlo simulations using the dipolar Gay-Berne model: Effect
2035     of terminal dipole moment on mesophase formation},
2036     journal = {Chemical Physics Letters},
2037     year = {1996},
2038     volume = {255},
2039     pages = {99-104},
2040     number = {1-3},
2041     month = {Jun 7},
2042     abstract = {The effects of dipole-dipole interaction on mesophase formation are
2043     investigated with a Monte Carlo simulation using the dipolar Gay-Berne
2044     potential. It is shown that the dipole moment at the end of a molecule
2045     causes a shift in the nematic-isotropic transition toward higher
2046     temperature and a spread of the temperature range of the nematic
2047     phase and that layer structures with various interdigitations are
2048     formed in the smectic phase.},
2049     annote = {Uq975 Times Cited:32 Cited References Count:33},
2050     issn = {0009-2614},
2051     uri = {<Go to ISI>://A1996UQ97500017},
2052 tim 2685 }
2053    
2054 tim 2786 @ARTICLE{Shen2002,
2055     author = {M. Y. Shen and K. F. Freed},
2056     title = {Long time dynamics of met-enkephalin: Comparison of explicit and
2057     implicit solvent models},
2058     journal = {Biophysical Journal},
2059     year = {2002},
2060     volume = {82},
2061     pages = {1791-1808},
2062     number = {4},
2063     month = {Apr},
2064     abstract = {Met-enkephalin is one of the smallest opiate peptides. Yet, its dynamical
2065     structure and receptor docking mechanism are still not well understood.
2066     The conformational dynamics of this neuron peptide in liquid water
2067     are studied here by using all-atom molecular dynamics (MID) and
2068     implicit water Langevin dynamics (LD) simulations with AMBER potential
2069     functions and the three-site transferable intermolecular potential
2070     (TIP3P) model for water. To achieve the same simulation length in
2071     physical time, the full MID simulations require 200 times as much
2072     CPU time as the implicit water LID simulations. The solvent hydrophobicity
2073     and dielectric behavior are treated in the implicit solvent LD simulations
2074     by using a macroscopic solvation potential, a single dielectric
2075     constant, and atomic friction coefficients computed using the accessible
2076     surface area method with the TIP3P model water viscosity as determined
2077     here from MID simulations for pure TIP3P water. Both the local and
2078     the global dynamics obtained from the implicit solvent LD simulations
2079     agree very well with those from the explicit solvent MD simulations.
2080     The simulations provide insights into the conformational restrictions
2081     that are associated with the bioactivity of the opiate peptide dermorphin
2082     for the delta-receptor.},
2083     annote = {540MH Times Cited:36 Cited References Count:45},
2084     issn = {0006-3495},
2085     uri = {<Go to ISI>://000174932400010},
2086 tim 2685 }
2087    
2088 tim 2786 @ARTICLE{Shillcock2005,
2089     author = {J. C. Shillcock and R. Lipowsky},
2090     title = {Tension-induced fusion of bilayer membranes and vesicles},
2091     journal = {Nature Materials},
2092     year = {2005},
2093     volume = {4},
2094     pages = {225-228},
2095     number = {3},
2096     month = {Mar},
2097     annote = {901QJ Times Cited:9 Cited References Count:23},
2098     issn = {1476-1122},
2099     uri = {<Go to ISI>://000227296700019},
2100 tim 2685 }
2101    
2102 tim 2786 @ARTICLE{Skeel2002,
2103     author = {R. D. Skeel and J. A. Izaguirre},
2104     title = {An impulse integrator for Langevin dynamics},
2105     journal = {Molecular Physics},
2106     year = {2002},
2107     volume = {100},
2108     pages = {3885-3891},
2109     number = {24},
2110     month = {Dec 20},
2111     abstract = {The best simple method for Newtonian molecular dynamics is indisputably
2112     the leapfrog Stormer-Verlet method. The appropriate generalization
2113     to simple Langevin dynamics is unclear. An analysis is presented
2114     comparing an 'impulse method' (kick; fluctuate; kick), the 1982
2115     method of van Gunsteren and Berendsen, and the Brunger-Brooks-Karplus
2116     (BBK) method. It is shown how the impulse method and the van Gunsteren-Berendsen
2117     methods can be implemented as efficiently as the BBK method. Other
2118     considerations suggest that the impulse method is the best basic
2119     method for simple Langevin dynamics, with the van Gunsteren-Berendsen
2120     method a close contender.},
2121     annote = {633RX Times Cited:8 Cited References Count:22},
2122     issn = {0026-8976},
2123     uri = {<Go to ISI>://000180297200014},
2124 tim 2685 }
2125    
2126 tim 2786 @ARTICLE{Skeel1997,
2127     author = {R. D. Skeel and G. H. Zhang and T. Schlick},
2128     title = {A family of symplectic integrators: Stability, accuracy, and molecular
2129     dynamics applications},
2130     journal = {Siam Journal on Scientific Computing},
2131     year = {1997},
2132     volume = {18},
2133     pages = {203-222},
2134     number = {1},
2135     month = {Jan},
2136     abstract = {The following integration methods for special second-order ordinary
2137     differential equations are studied: leapfrog, implicit midpoint,
2138     trapezoid, Stormer-Verlet, and Cowell-Numerov. We show that all
2139     are members, or equivalent to members, of a one-parameter family
2140     of schemes. Some methods have more than one common form, and we
2141     discuss a systematic enumeration of these forms. We also present
2142     a stability and accuracy analysis based on the idea of ''modified
2143     equations'' and a proof of symplecticness. It follows that Cowell-Numerov
2144     and ''LIM2'' (a method proposed by Zhang and Schlick) are symplectic.
2145     A different interpretation of the values used by these integrators
2146     leads to higher accuracy and better energy conservation. Hence,
2147     we suggest that the straightforward analysis of energy conservation
2148     is misleading.},
2149     annote = {We981 Times Cited:30 Cited References Count:35},
2150     issn = {1064-8275},
2151     uri = {<Go to ISI>://A1997WE98100012},
2152 tim 2685 }
2153    
2154 tim 2786 @ARTICLE{Tao2005,
2155     author = {Y. G. Tao and W. K. {den Otter} and J. T. Padding and J. K. G. Dhont
2156     and W. J. Briels},
2157     title = {Brownian dynamics simulations of the self- and collective rotational
2158     diffusion coefficients of rigid long thin rods},
2159     journal = {Journal of Chemical Physics},
2160     year = {2005},
2161     volume = {122},
2162     pages = {-},
2163     number = {24},
2164     month = {Jun 22},
2165     abstract = {Recently a microscopic theory for the dynamics of suspensions of long
2166     thin rigid rods was presented, confirming and expanding the well-known
2167     theory by Doi and Edwards [The Theory of Polymer Dynamics (Clarendon,
2168     Oxford, 1986)] and Kuzuu [J. Phys. Soc. Jpn. 52, 3486 (1983)]. Here
2169     this theory is put to the test by comparing it against computer
2170     simulations. A Brownian dynamics simulation program was developed
2171     to follow the dynamics of the rods, with a length over a diameter
2172     ratio of 60, on the Smoluchowski time scale. The model accounts
2173     for excluded volume interactions between rods, but neglects hydrodynamic
2174     interactions. The self-rotational diffusion coefficients D-r(phi)
2175     of the rods were calculated by standard methods and by a new, more
2176     efficient method based on calculating average restoring torques.
2177     Collective decay of orientational order was calculated by means
2178     of equilibrium and nonequilibrium simulations. Our results show
2179     that, for the currently accessible volume fractions, the decay times
2180     in both cases are virtually identical. Moreover, the observed decay
2181     of diffusion coefficients with volume fraction is much quicker than
2182     predicted by the theory, which is attributed to an oversimplification
2183     of dynamic correlations in the theory. (c) 2005 American Institute
2184     of Physics.},
2185     annote = {943DN Times Cited:3 Cited References Count:26},
2186     issn = {0021-9606},
2187     uri = {<Go to ISI>://000230332400077},
2188 tim 2685 }
2189    
2190 tim 2786 @BOOK{Tolman1979,
2191     title = {The Principles of Statistical Mechanics},
2192     publisher = {Dover Publications, Inc.},
2193     year = {1979},
2194     author = {R.~C. Tolman},
2195     address = {New York},
2196     chapter = {2},
2197     pages = {19-22},
2198 tim 2685 }
2199    
2200 tim 2786 @ARTICLE{Tu1995,
2201     author = {K. Tu and D. J. Tobias and M. L. Klein},
2202     title = {Constant pressure and temperature molecular dynamics simulation of
2203     a fully hydrated liquid crystal phase dipalmitoylphosphatidylcholine
2204     bilayer},
2205     journal = {Biophysical Journal},
2206     year = {1995},
2207     volume = {69},
2208     pages = {2558-2562},
2209     number = {6},
2210     month = {Dec},
2211     abstract = {We report a constant pressure and temperature molecular dynamics simulation
2212     of a fully hydrated liquid crystal (L(alpha) phase bilayer of dipalmitoylphosphatidylcholine
2213     at 50 degrees C and 28 water molecules/lipid. We have shown that
2214     the bilayer is stable throughout the 1550-ps simulation and have
2215     demonstrated convergence of the system dimensions. Several important
2216     aspects of the bilayer structure have been investigated and compared
2217     favorably with experimental results. For example, the average positions
2218     of specific carbon atoms along the bilayer normal agree well with
2219     neutron diffraction data, and the electron density profile is in
2220     accord with x-ray diffraction results. The hydrocarbon chain deuterium
2221     order parameters agree reasonably well with NMR results for the
2222     middles of the chains, but the simulation predicts too much order
2223     at the chain ends. In spite of the deviations in the order parameters,
2224     the hydrocarbon chain packing density appears to be essentially
2225     correct, inasmuch as the area/lipid and bilayer thickness are in
2226     agreement with the most refined experimental estimates. The deuterium
2227     order parameters for the glycerol and choline groups, as well as
2228     the phosphorus chemical shift anisotropy, are in qualitative agreement
2229     with those extracted from NMR measurements.},
2230     annote = {Tv018 Times Cited:108 Cited References Count:34},
2231     issn = {0006-3495},
2232     uri = {<Go to ISI>://A1995TV01800037},
2233 tim 2685 }
2234    
2235 tim 2786 @ARTICLE{Tuckerman1992,
2236     author = {M. Tuckerman and B. J. Berne and G. J. Martyna},
2237     title = {Reversible Multiple Time Scale Molecular-Dynamics},
2238     journal = {Journal of Chemical Physics},
2239     year = {1992},
2240     volume = {97},
2241     pages = {1990-2001},
2242     number = {3},
2243     month = {Aug 1},
2244     abstract = {The Trotter factorization of the Liouville propagator is used to generate
2245     new reversible molecular dynamics integrators. This strategy is
2246     applied to derive reversible reference system propagator algorithms
2247     (RESPA) that greatly accelerate simulations of systems with a separation
2248     of time scales or with long range forces. The new algorithms have
2249     all of the advantages of previous RESPA integrators but are reversible,
2250     and more stable than those methods. These methods are applied to
2251     a set of paradigmatic systems and are shown to be superior to earlier
2252     methods. It is shown how the new RESPA methods are related to predictor-corrector
2253     integrators. Finally, we show how these methods can be used to accelerate
2254     the integration of the equations of motion of systems with Nose
2255     thermostats.},
2256     annote = {Je891 Times Cited:680 Cited References Count:19},
2257     issn = {0021-9606},
2258     uri = {<Go to ISI>://A1992JE89100044},
2259 tim 2685 }
2260    
2261 tim 2786 @ARTICLE{Wegener1979,
2262     author = {W.~A. Wegener, V.~J. Koester and R.~M. Dowben},
2263     title = {A general ellipsoid can not always serve as a modle for the rotational
2264     diffusion properties of arbitrary shaped rigid molecules},
2265     journal = {Proc. Natl. Acad. Sci.},
2266     year = {1979},
2267     volume = {76},
2268     pages = {6356-6360},
2269     number = {12},
2270 tim 2685 }
2271    
2272 tim 2786 @ARTICLE{Withers2003,
2273     author = {I. M. Withers},
2274     title = {Effects of longitudinal quadrupoles on the phase behavior of a Gay-Berne
2275     fluid},
2276     journal = {Journal of Chemical Physics},
2277     year = {2003},
2278     volume = {119},
2279     pages = {10209-10223},
2280     number = {19},
2281     month = {Nov 15},
2282     abstract = {The effects of longitudinal quadrupole moments on the formation of
2283     liquid crystalline phases are studied by means of constant NPT Monte
2284     Carlo simulation methods. The popular Gay-Berne model mesogen is
2285     used as the reference fluid, which displays the phase sequences
2286     isotropic-smectic A-smectic B and isotropic-smectic B at high (T*=2.0)
2287     and low (T*=1.5) temperatures, respectively. With increasing quadrupole
2288     magnitude the smectic phases are observed to be stabilized with
2289     respect to the isotropic liquid, while the smectic B is destabilized
2290     with respect to the smectic A. At the lower temperature, a sufficiently
2291     large quadrupole magnitude results in the injection of the smectic
2292     A phase into the phase sequence and the replacement of the smectic
2293     B phase by the tilted smectic J phase. The nematic phase is also
2294     injected into the phase sequence at both temperatures considered,
2295     and ultimately for sufficiently large quadrupole magnitudes no coherent
2296     layered structures were observed. The stabilization of the smectic
2297     A phase supports the commonly held belief that, while the inclusion
2298     of polar groups is not a prerequisite for the formation of the smectic
2299     A phase, quadrupolar interactions help to increase the temperature
2300     and pressure range for which the smectic A phase is observed. The
2301     quality of the layered structure is worsened with increasing quadrupole
2302     magnitude. This behavior, along with the injection of the nematic
2303     phase into the phase sequence, indicate that the general tendency
2304     of the quadrupolar interactions is to destabilize the layered structure.
2305     A pressure dependence upon the smectic layer spacing is observed.
2306     This behavior is in much closer agreement with experimental findings
2307     than has been observed previously for nonpolar Gay-Berne and hard
2308     spherocylinder models. (C) 2003 American Institute of Physics.},
2309     annote = {738EF Times Cited:3 Cited References Count:43},
2310     issn = {0021-9606},
2311     uri = {<Go to ISI>://000186273200027},
2312 tim 2685 }
2313