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3
4 @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 }
41
42 @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 }
90
91 @BOOK{Alexander1987,
92 title = {A Pattern Language: Towns, Buildings, Construction},
93 publisher = {Oxford University Press},
94 year = {1987},
95 author = {C. Alexander},
96 address = {New York},
97 }
98
99 @BOOK{Allen1987,
100 title = {Computer Simulations of Liquids},
101 publisher = {Oxford University Press},
102 year = {1987},
103 author = {M.~P. Allen and D.~J. Tildesley},
104 address = {New York},
105 }
106
107 @ARTICLE{Allison1991,
108 author = {S. A. Allison},
109 title = {A Brownian Dynamics Algorithm for Arbitrary Rigid Bodies - Application
110 to Polarized Dynamic Light-Scattering},
111 journal = {Macromolecules},
112 year = {1991},
113 volume = {24},
114 pages = {530-536},
115 number = {2},
116 month = {Jan 21},
117 abstract = {A Brownian dynamics algorithm is developed to simulate dynamics experiments
118 of rigid macromolecules. It is applied to polarized dynamic light
119 scattering from rodlike sturctures and from a model of a DNA fragment
120 (762 base pairs). A number of rod cases are examined in which the
121 translational anisotropy is increased form zero to a large value.
122 Simulated first cumulants as well as amplitudes and lifetimes of
123 the dynamic form factor are compared with predictions of analytic
124 theories and found to be in very good agreement with them. For DNA
125 fragments 762 base pairs in length or longer, translational anisotropy
126 does not contribute significantly to dynamic light scattering. In
127 a comparison of rigid and flexible simulations on semistiff models
128 of this fragment, it is shown directly that flexing contributes
129 to the faster decay processes probed by light scattering and that
130 the flexible model studies are in good agreement with experiment.},
131 annote = {Eu814 Times Cited:8 Cited References Count:32},
132 issn = {0024-9297},
133 uri = {<Go to ISI>://A1991EU81400029},
134 }
135
136 @ARTICLE{Andersen1983,
137 author = {H. C. Andersen},
138 title = {Rattle - a Velocity Version of the Shake Algorithm for Molecular-Dynamics
139 Calculations},
140 journal = {Journal of Computational Physics},
141 year = {1983},
142 volume = {52},
143 pages = {24-34},
144 number = {1},
145 annote = {Rq238 Times Cited:559 Cited References Count:14},
146 issn = {0021-9991},
147 uri = {<Go to ISI>://A1983RQ23800002},
148 }
149
150 @ARTICLE{Auerbach2005,
151 author = {A. Auerbach},
152 title = {Gating of acetylcholine receptor channels: Brownian motion across
153 a broad transition state},
154 journal = {Proceedings of the National Academy of Sciences of the United States
155 of America},
156 year = {2005},
157 volume = {102},
158 pages = {1408-1412},
159 number = {5},
160 month = {Feb 1},
161 abstract = {Acetylcholine receptor channels (AChRs) are proteins that switch between
162 stable #closed# and #open# conformations. In patch clamp recordings,
163 diliganded AChR gating appears to be a simple, two-state reaction.
164 However, mutagenesis studies indicate that during gating dozens
165 of residues across the protein move asynchronously and are organized
166 into rigid body gating domains (#blocks#). Moreover, there is an
167 upper limit to the apparent channel opening rate constant. These
168 observations suggest that the gating reaction has a broad, corrugated
169 transition state region, with the maximum opening rate reflecting,
170 in part, the mean first-passage time across this ensemble. Simulations
171 reveal that a flat, isotropic energy profile for the transition
172 state can account for many of the essential features of AChR gating.
173 With this mechanism, concerted, local structural transitions that
174 occur on the broad transition state ensemble give rise to fractional
175 measures of reaction progress (Phi values) determined by rate-equilibrium
176 free energy relationship analysis. The results suggest that the
177 coarse-grained AChR gating conformational change propagates through
178 the protein with dynamics that are governed by the Brownian motion
179 of individual gating blocks.},
180 annote = {895QF Times Cited:9 Cited References Count:33},
181 issn = {0027-8424},
182 uri = {<Go to ISI>://000226877300030},
183 }
184
185 @ARTICLE{Baber1995,
186 author = {J. Baber and J. F. Ellena and D. S. Cafiso},
187 title = {Distribution of General-Anesthetics in Phospholipid-Bilayers Determined
188 Using H-2 Nmr and H-1-H-1 Noe Spectroscopy},
189 journal = {Biochemistry},
190 year = {1995},
191 volume = {34},
192 pages = {6533-6539},
193 number = {19},
194 month = {May 16},
195 abstract = {The effect of the general anesthetics halothane, enflurane, and isoflurane
196 on hydrocarbon chain packing in palmitoyl(d(31))oleoylphosphatidylcholine
197 membranes in the liquid crystalline phase was investigated using
198 H-2 NMR. Upon the addition of the anesthetics, the first five methylene
199 units near the interface generally show a very small increase in
200 segmental order, while segments deeper within the bilayer show a
201 small decrease in segmental order. From the H-2 NMR results, the
202 chain length for the perdeuterated palmitoyl chain in the absence
203 of anesthetic was found to be 12.35 Angstrom. Upon the addition
204 of halothane enflurane, or isoflurane, the acyl chain undergoes
205 slight contractions of 0.11, 0.20, or 0.16 Angstrom, respectively,
206 at 50 mol % anesthetic. A simple model was used to estimate the
207 relative amounts of anesthetic located near the interface and deeper
208 in the bilayer hydrocarbon region, and only a slight preference
209 for an interfacial location was observed. Intermolecular H-1-H-1
210 nuclear Overhauser effects (NOEs) were measured between phospholipid
211 and halothane protons. These NOEs are consistent with the intramembrane
212 location of the anesthetics suggested by the H-2 NMR data. In addition,
213 the NOE data indicate that anesthetics prefer the interfacial and
214 hydrocarbon regions of the membrane and are not found in high concentrations
215 in the phospholipid headgroup.},
216 annote = {Qz716 Times Cited:38 Cited References Count:37},
217 issn = {0006-2960},
218 uri = {<Go to ISI>://A1995QZ71600035},
219 }
220
221 @ARTICLE{Banerjee2004,
222 author = {D. Banerjee and B. C. Bag and S. K. Banik and D. S. Ray},
223 title = {Solution of quantum Langevin equation: Approximations, theoretical
224 and numerical aspects},
225 journal = {Journal of Chemical Physics},
226 year = {2004},
227 volume = {120},
228 pages = {8960-8972},
229 number = {19},
230 month = {May 15},
231 abstract = {Based on a coherent state representation of noise operator and an
232 ensemble averaging procedure using Wigner canonical thermal distribution
233 for harmonic oscillators, a generalized quantum Langevin equation
234 has been recently developed [Phys. Rev. E 65, 021109 (2002); 66,
235 051106 (2002)] to derive the equations of motion for probability
236 distribution functions in c-number phase-space. We extend the treatment
237 to explore several systematic approximation schemes for the solutions
238 of the Langevin equation for nonlinear potentials for a wide range
239 of noise correlation, strength and temperature down to the vacuum
240 limit. The method is exemplified by an analytic application to harmonic
241 oscillator for arbitrary memory kernel and with the help of a numerical
242 calculation of barrier crossing, in a cubic potential to demonstrate
243 the quantum Kramers' turnover and the quantum Arrhenius plot. (C)
244 2004 American Institute of Physics.},
245 annote = {816YY Times Cited:8 Cited References Count:35},
246 issn = {0021-9606},
247 uri = {<Go to ISI>://000221146400009},
248 }
249
250 @ARTICLE{Barojas1973,
251 author = {J. Barojas and D. Levesque},
252 title = {Simulation of Diatomic Homonuclear Liquids},
253 journal = {Phys. Rev. A},
254 year = {1973},
255 volume = {7},
256 pages = {1092-1105},
257 }
258
259 @ARTICLE{Barth1998,
260 author = {E. Barth and T. Schlick},
261 title = {Overcoming stability limitations in biomolecular dynamics. I. Combining
262 force splitting via extrapolation with Langevin dynamics in LN},
263 journal = {Journal of Chemical Physics},
264 year = {1998},
265 volume = {109},
266 pages = {1617-1632},
267 number = {5},
268 month = {Aug 1},
269 abstract = {We present an efficient new method termed LN for propagating biomolecular
270 dynamics according to the Langevin equation that arose fortuitously
271 upon analysis of the range of harmonic validity of our normal-mode
272 scheme LIN. LN combines force linearization with force splitting
273 techniques and disposes of LIN'S computationally intensive minimization
274 (anharmonic correction) component. Unlike the competitive multiple-timestepping
275 (MTS) schemes today-formulated to be symplectic and time-reversible-LN
276 merges the slow and fast forces via extrapolation rather than impulses;
277 the Langevin heat bath prevents systematic energy drifts. This combination
278 succeeds in achieving more significant speedups than these MTS methods
279 which are Limited by resonance artifacts to an outer timestep less
280 than some integer multiple of half the period of the fastest motion
281 (around 4-5 fs for biomolecules). We show that LN achieves very
282 good agreement with small-timestep solutions of the Langevin equation
283 in terms of thermodynamics (energy means and variances), geometry,
284 and dynamics (spectral densities) for two proteins in vacuum and
285 a large water system. Significantly, the frequency of updating the
286 slow forces extends to 48 fs or more, resulting in speedup factors
287 exceeding 10. The implementation of LN in any program that employs
288 force-splitting computations is straightforward, with only partial
289 second-derivative information required, as well as sparse Hessian/vector
290 multiplication routines. The linearization part of LN could even
291 be replaced by direct evaluation of the fast components. The application
292 of LN to biomolecular dynamics is well suited for configurational
293 sampling, thermodynamic, and structural questions. (C) 1998 American
294 Institute of Physics.},
295 annote = {105HH Times Cited:29 Cited References Count:49},
296 issn = {0021-9606},
297 uri = {<Go to ISI>://000075066300006},
298 }
299
300 @ARTICLE{Batcho2001,
301 author = {P. F. Batcho and T. Schlick},
302 title = {Special stability advantages of position-Verlet over velocity-Verlet
303 in multiple-time step integration},
304 journal = {Journal of Chemical Physics},
305 year = {2001},
306 volume = {115},
307 pages = {4019-4029},
308 number = {9},
309 month = {Sep 1},
310 abstract = {We present an analysis for a simple two-component harmonic oscillator
311 that compares the use of position-Verlet to velocity-Verlet for
312 multiple-time step integration. The numerical stability analysis
313 based on the impulse-Verlet splitting shows that position-Verlet
314 has enhanced stability, in terms of the largest allowable time step,
315 for cases where an ample separation of time scales exists. Numerical
316 investigations confirm the advantages of the position-Verlet scheme
317 when used for the fastest time scales of the system. Applications
318 to a biomolecule. a solvated protein, for both Newtonian and Langevin
319 dynamics echo these trends over large outer time-step regimes. (C)
320 2001 American Institute of Physics.},
321 annote = {469KV Times Cited:6 Cited References Count:30},
322 issn = {0021-9606},
323 uri = {<Go to ISI>://000170813800005},
324 }
325
326 @ARTICLE{Bates2005,
327 author = {M. A. Bates and G. R. Luckhurst},
328 title = {Biaxial nematic phases and V-shaped molecules: A Monte Carlo simulation
329 study},
330 journal = {Physical Review E},
331 year = {2005},
332 volume = {72},
333 pages = {-},
334 number = {5},
335 month = {Nov},
336 abstract = {Inspired by recent claims that compounds composed of V-shaped molecules
337 can exhibit the elusive biaxial nematic phase, we have developed
338 a generic simulation model for such systems. This contains the features
339 of the molecule that are essential to its liquid crystal behavior,
340 namely the anisotropies of the two arms and the angle between them.
341 The behavior of the model has been investigated using Monte Carlo
342 simulations for a wide range of these structural parameters. This
343 allows us to establish the relationship between the V-shaped molecule
344 and its ability to form a biaxial nematic phase. Of particular importance
345 are the criteria of geometry and the relative anisotropy necessary
346 for the system to exhibit a Landau point, at which the biaxial nematic
347 is formed directly from the isotropic phase. The simulations have
348 also been used to determine the orientational order parameters for
349 a selection of molecular axes. These are especially important because
350 they reveal the phase symmetry and are connected to the experimental
351 determination of this. The simulation results show that, whereas
352 some positions are extremely sensitive to the phase biaxiality,
353 others are totally blind to this.},
354 annote = {Part 1 988LQ Times Cited:0 Cited References Count:38},
355 issn = {1539-3755},
356 uri = {<Go to ISI>://000233603100030},
357 }
358
359 @ARTICLE{Beard2003,
360 author = {D. A. Beard and T. Schlick},
361 title = {Unbiased rotational moves for rigid-body dynamics},
362 journal = {Biophysical Journal},
363 year = {2003},
364 volume = {85},
365 pages = {2973-2976},
366 number = {5},
367 month = {Nov 1},
368 abstract = {We introduce an unbiased protocol for performing rotational moves
369 in rigid-body dynamics simulations. This approach - based on the
370 analytic solution for the rotational equations of motion for an
371 orthogonal coordinate system at constant angular velocity - removes
372 deficiencies that have been largely ignored in Brownian dynamics
373 simulations, namely errors for finite rotations that result from
374 applying the noncommuting rotational matrices in an arbitrary order.
375 Our algorithm should thus replace standard approaches to rotate
376 local coordinate frames in Langevin and Brownian dynamics simulations.},
377 annote = {736UA Times Cited:0 Cited References Count:11},
378 issn = {0006-3495},
379 uri = {<Go to ISI>://000186190500018},
380 }
381
382 @ARTICLE{Beloborodov1998,
383 author = {I. S. Beloborodov and V. Y. Orekhov and A. S. Arseniev},
384 title = {Effect of coupling between rotational and translational Brownian
385 motions on NMR spin relaxation: Consideration using green function
386 of rigid body diffusion},
387 journal = {Journal of Magnetic Resonance},
388 year = {1998},
389 volume = {132},
390 pages = {328-329},
391 number = {2},
392 month = {Jun},
393 abstract = {Using the Green function of arbitrary rigid Brownian diffusion (Goldstein,
394 Biopolymers 33, 409-436, 1993), it was analytically shown that coupling
395 between translation and rotation diffusion degrees of freedom does
396 not affect the correlation functions relevant to the NMR intramolecular
397 relaxation. It follows that spectral densities usually used for
398 the anisotropic rotation diffusion (Woessner, J. Chem. Phys. 37,
399 647-654, 1962) can be regarded as exact in respect to the rotation-translation
400 coupling for the spin system connected with a rigid body. (C) 1998
401 Academic Press.},
402 annote = {Zu605 Times Cited:2 Cited References Count:6},
403 issn = {1090-7807},
404 uri = {<Go to ISI>://000074214800017},
405 }
406
407 @ARTICLE{Berardi1996,
408 author = {R. Berardi and S. Orlandi and C. Zannoni},
409 title = {Antiphase structures in polar smectic liquid crystals and their molecular
410 origin},
411 journal = {Chemical Physics Letters},
412 year = {1996},
413 volume = {261},
414 pages = {357-362},
415 number = {3},
416 month = {Oct 18},
417 abstract = {We demonstrate that the overall molecular dipole organization in a
418 smectic liquid crystal formed of polar molecules can be strongly
419 influenced by the position of the dipole in the molecule. We study
420 by large scale Monte Carlo simulations systems of attractive-repulsive
421 ''Gay-Berne'' elongated ellipsoids with an axial dipole at the center
422 or near the end of the molecule and we show that monolayer smectic
423 liquid crystals and modulated antiferroelectric bilayer stripe domains
424 similar to the experimentally observed ''antiphase'' structures
425 are obtained in the two cases.},
426 annote = {Vn637 Times Cited:49 Cited References Count:26},
427 issn = {0009-2614},
428 uri = {<Go to ISI>://A1996VN63700023},
429 }
430
431 @ARTICLE{Berkov2005,
432 author = {D. V. Berkov and N. L. Gorn},
433 title = {Magnetization precession due to a spin-polarized current in a thin
434 nanoelement: Numerical simulation study},
435 journal = {Physical Review B},
436 year = {2005},
437 volume = {72},
438 pages = {-},
439 number = {9},
440 month = {Sep},
441 abstract = {In this paper a detailed numerical study (in frames of the Slonczewski
442 formalism) of magnetization oscillations driven by a spin-polarized
443 current through a thin elliptical nanoelement is presented. We show
444 that a sophisticated micromagnetic model, where a polycrystalline
445 structure of a nanoelement is taken into account, can explain qualitatively
446 all most important features of the magnetization oscillation spectra
447 recently observed experimentally [S. I. Kiselev , Nature 425, 380
448 (2003)], namely, existence of several equidistant spectral bands,
449 sharp onset and abrupt disappearance of magnetization oscillations
450 with increasing current, absence of the out-of-plane regime predicted
451 by a macrospin model, and the relation between frequencies of so-called
452 small-angle and quasichaotic oscillations. However, a quantitative
453 agreement with experimental results (especially concerning the frequency
454 of quasichaotic oscillations) could not be achieved in the region
455 of reasonable parameter values, indicating that further model refinement
456 is necessary for a complete understanding of the spin-driven magnetization
457 precession even in this relatively simple experimental situation.},
458 annote = {969IT Times Cited:2 Cited References Count:55},
459 issn = {1098-0121},
460 uri = {<Go to ISI>://000232228500058},
461 }
462
463 @ARTICLE{Berkov2005a,
464 author = {D. V. Berkov and N. L. Gorn},
465 title = {Stochastic dynamic simulations of fast remagnetization processes:
466 recent advances and applications},
467 journal = {Journal of Magnetism and Magnetic Materials},
468 year = {2005},
469 volume = {290},
470 pages = {442-448},
471 month = {Apr},
472 abstract = {Numerical simulations of fast remagnetization processes using stochastic
473 dynamics are widely used to study various magnetic systems. In this
474 paper, we first address several crucial methodological problems
475 of such simulations: (i) the influence of finite-element discretization
476 on simulated dynamics, (ii) choice between Ito and Stratonovich
477 stochastic calculi by the solution of micromagnetic stochastic equations
478 of motion and (iii) non-trivial correlation properties of the random
479 (thermal) field. Next, we discuss several examples to demonstrate
480 the great potential of the Langevin dynamics for studying fast remagnetization
481 processes in technically relevant applications: we present numerical
482 analysis of equilibrium magnon spectra in patterned structures,
483 study thermal noise effects on the magnetization dynamics of nanoelements
484 in pulsed fields and show some results for a remagnetization dynamics
485 induced by a spin-polarized current. (c) 2004 Elsevier B.V. All
486 rights reserved.},
487 annote = {Part 1 Sp. Iss. SI 922KU Times Cited:2 Cited References Count:25},
488 issn = {0304-8853},
489 uri = {<Go to ISI>://000228837600109},
490 }
491
492 @ARTICLE{Berkov2002,
493 author = {D. V. Berkov and N. L. Gorn and P. Gornert},
494 title = {Magnetization dynamics in nanoparticle systems: Numerical simulation
495 using Langevin dynamics},
496 journal = {Physica Status Solidi a-Applied Research},
497 year = {2002},
498 volume = {189},
499 pages = {409-421},
500 number = {2},
501 month = {Feb 16},
502 abstract = {We report on recent progress achieved by the development of numerical
503 methods based on the stochastic (Langevin) dynamics applied to systems
504 of interacting magnetic nanoparticles. The method enables direct
505 simulations of the trajectories of magnetic moments taking into
506 account (i) all relevant interactions, (ii) precession dynamics,
507 and (iii) temperature fluctuations included via the random (thermal)
508 field. We present several novel results obtained using new methods
509 developed for the solution of the Langevin equations. In particular,
510 we have investigated magnetic nanodots and disordered granular systems
511 of single-domain magnetic particles. For the first case we have
512 calculated the spectrum and the spatial distribution of spin excitations.
513 For the second system the complex ac susceptibility chi(omega, T)
514 for various particle concentrations and particle anisotropies were
515 computed and compared with numerous experimental results.},
516 annote = {526TF Times Cited:4 Cited References Count:37},
517 issn = {0031-8965},
518 uri = {<Go to ISI>://000174145200026},
519 }
520
521 @ARTICLE{Bernal1980,
522 author = {J.M. Bernal and J. G. {de la Torre}},
523 title = {Transport Properties and Hydrodynamic Centers of Rigid Macromolecules
524 with Arbitrary Shape},
525 journal = {Biopolymers},
526 year = {1980},
527 volume = {19},
528 pages = {751-766},
529 }
530
531 @ARTICLE{Brenner1967,
532 author = {H. Brenner },
533 title = {Coupling between the Translational and Rotational Brownian Motions
534 of Rigid Particles of Arbitrary shape},
535 journal = {J. Collid. Int. Sci.},
536 year = {1967},
537 volume = {23},
538 pages = {407-436},
539 }
540
541 @ARTICLE{Brooks1983,
542 author = {B. R. Brooks and R. E. Bruccoleri and B. D. Olafson and D. J. States
543 and S. Swaminathan and M. Karplus},
544 title = {Charmm - a Program for Macromolecular Energy, Minimization, and Dynamics
545 Calculations},
546 journal = {Journal of Computational Chemistry},
547 year = {1983},
548 volume = {4},
549 pages = {187-217},
550 number = {2},
551 annote = {Qp423 Times Cited:6414 Cited References Count:96},
552 issn = {0192-8651},
553 uri = {<Go to ISI>://A1983QP42300010},
554 }
555
556 @ARTICLE{Brunger1984,
557 author = {A. Brunger and C. L. Brooks and M. Karplus},
558 title = {Stochastic Boundary-Conditions for Molecular-Dynamics Simulations
559 of St2 Water},
560 journal = {Chemical Physics Letters},
561 year = {1984},
562 volume = {105},
563 pages = {495-500},
564 number = {5},
565 annote = {Sm173 Times Cited:143 Cited References Count:22},
566 issn = {0009-2614},
567 uri = {<Go to ISI>://A1984SM17300007},
568 }
569
570 @ARTICLE{Budd1999,
571 author = {C. J. Budd and G. J. Collins and W. Z. Huang and R. D. Russell},
572 title = {Self-similar numerical solutions of the porous-medium equation using
573 moving mesh methods},
574 journal = {Philosophical Transactions of the Royal Society of London Series
575 a-Mathematical Physical and Engineering Sciences},
576 year = {1999},
577 volume = {357},
578 pages = {1047-1077},
579 number = {1754},
580 month = {Apr 15},
581 abstract = {This paper examines a synthesis of adaptive mesh methods with the
582 use of symmetry to study a partial differential equation. In particular,
583 it considers methods which admit discrete self-similar solutions,
584 examining the convergence of these to the true self-similar solution
585 as well as their stability. Special attention is given to the nonlinear
586 diffusion equation describing flow in a porous medium.},
587 annote = {199EE Times Cited:4 Cited References Count:14},
588 issn = {1364-503X},
589 uri = {<Go to ISI>://000080466800005},
590 }
591
592 @ARTICLE{Camp1999,
593 author = {P. J. Camp and M. P. Allen and A. J. Masters},
594 title = {Theory and computer simulation of bent-core molecules},
595 journal = {Journal of Chemical Physics},
596 year = {1999},
597 volume = {111},
598 pages = {9871-9881},
599 number = {21},
600 month = {Dec 1},
601 abstract = {Fluids of hard bent-core molecules have been studied using theory
602 and computer simulation. The molecules are composed of two hard
603 spherocylinders, with length-to-breadth ratio L/D, joined by their
604 ends at an angle 180 degrees - gamma. For L/D = 2 and gamma = 0,10,20
605 degrees, the simulations show isotropic, nematic, smectic, and solid
606 phases. For L/D = 2 and gamma = 30 degrees, only isotropic, nematic,
607 and solid phases are in evidence, which suggests that there is a
608 nematic-smectic-solid triple point at an angle in the range 20 degrees
609 < gamma < 30 degrees. In all of the orientationally ordered fluid
610 phases the order is purely uniaxial. For gamma = 10 degrees and
611 20 degrees, at the studied densities, the solid is also uniaxially
612 ordered, whilst for gamma = 30 degrees the solid layers are biaxially
613 ordered. For L/D = 2 and gamma = 60 degrees and 90 degrees we find
614 no spontaneous orientational ordering. This is shown to be due to
615 the interlocking of dimer pairs which precludes alignment. We find
616 similar results for L/D = 9.5 and gamma = 72 degrees, where an isotropic-biaxial
617 nematic transition is predicted by Onsager theory. Simulations in
618 the biaxial nematic phase show it to be at least mechanically stable
619 with respect to the isotropic phase, however. We have compared the
620 quasi-exact simulation results in the isotropic phase with the predicted
621 equations of state from three theories: the virial expansion containing
622 the second and third virial coefficients; the Parsons-Lee equation
623 of state; an application of Wertheim's theory of associating fluids
624 in the limit of infinite attractive association energy. For all
625 of the molecule elongations and geometries we have simulated, the
626 Wertheim theory proved to be the most accurate. Interestingly, the
627 isotropic equation of state is virtually independent of the dimer
628 bond angle-a feature that is also reflected in the lack of variation
629 with angle of the calculated second and third virial coefficients.
630 (C) 1999 American Institute of Physics. [S0021-9606(99)50445-5].},
631 annote = {255TC Times Cited:24 Cited References Count:38},
632 issn = {0021-9606},
633 uri = {<Go to ISI>://000083685400056},
634 }
635
636 @ARTICLE{Care2005,
637 author = {C. M. Care and D. J. Cleaver},
638 title = {Computer simulation of liquid crystals},
639 journal = {Reports on Progress in Physics},
640 year = {2005},
641 volume = {68},
642 pages = {2665-2700},
643 number = {11},
644 month = {Nov},
645 abstract = {A review is presented of molecular and mesoscopic computer simulations
646 of liquid crystalline systems. Molecular simulation approaches applied
647 to such systems are described, and the key findings for bulk phase
648 behaviour are reported. Following this, recently developed lattice
649 Boltzmann approaches to the mesoscale modelling of nemato-dynanics
650 are reviewed. This paper concludes with a discussion of possible
651 areas for future development in this field.},
652 annote = {989TU Times Cited:2 Cited References Count:258},
653 issn = {0034-4885},
654 uri = {<Go to ISI>://000233697600004},
655 }
656
657 @ARTICLE{Carrasco1999,
658 author = {B. Carrasco and J. G. {de la Torre}},
659 title = {Hydrodynamic properties of rigid particles: Comparison of different
660 modeling and computational procedures},
661 journal = {Biophysical Journal},
662 year = {1999},
663 volume = {76},
664 pages = {3044-3057},
665 number = {6},
666 month = {Jun},
667 abstract = {The hydrodynamic properties of rigid particles are calculated from
668 models composed of spherical elements (beads) using theories developed
669 by Kirkwood, Bloomfield, and their coworkers. Bead models have usually
670 been built in such a way that the beads fill the volume occupied
671 by the particles. Sometimes the beads are few and of varying sizes
672 (bead models in the strict sense), and other times there are many
673 small beads (filling models). Because hydrodynamic friction takes
674 place at the molecular surface, another possibility is to use shell
675 models, as originally proposed by Bloomfield. In this work, we have
676 developed procedures to build models of the various kinds, and we
677 describe the theory and methods for calculating their hydrodynamic
678 properties, including approximate methods that may be needed to
679 treat models with a very large number of elements. By combining
680 the various possibilities of model building and hydrodynamic calculation,
681 several strategies can be designed. We have made a quantitative
682 comparison of the performance of the various strategies by applying
683 them to some test cases, for which the properties are known a priori.
684 We provide guidelines and computational tools for bead modeling.},
685 annote = {200TT Times Cited:46 Cited References Count:57},
686 issn = {0006-3495},
687 uri = {<Go to ISI>://000080556700016},
688 }
689
690 @ARTICLE{Chandra1999,
691 author = {A. Chandra and T. Ichiye},
692 title = {Dynamical properties of the soft sticky dipole model of water: Molecular
693 dynamics simulations},
694 journal = {Journal of Chemical Physics},
695 year = {1999},
696 volume = {111},
697 pages = {2701-2709},
698 number = {6},
699 month = {Aug 8},
700 abstract = {Dynamical properties of the soft sticky dipole (SSD) model of water
701 are calculated by means of molecular dynamics simulations. Since
702 this is not a simple point model, the forces and torques arising
703 from the SSD potential are derived here. Simulations are carried
704 out in the microcanonical ensemble employing the Ewald method for
705 the electrostatic interactions. Various time correlation functions
706 and dynamical quantities associated with the translational and rotational
707 motion of water molecules are evaluated and compared with those
708 of two other commonly used models of liquid water, namely the transferable
709 intermolecular potential-three points (TIP3P) and simple point charge/extended
710 (SPC/E) models, and also with experiments. The dynamical properties
711 of the SSD water model are found to be in good agreement with the
712 experimental results and appear to be better than the TIP3P and
713 SPC/E models in most cases, as has been previously shown for its
714 thermodynamic, structural, and dielectric properties. Also, molecular
715 dynamics simulations of the SSD model are found to run much faster
716 than TIP3P, SPC/E, and other multisite models. (C) 1999 American
717 Institute of Physics. [S0021-9606(99)51430-X].},
718 annote = {221EN Times Cited:14 Cited References Count:66},
719 issn = {0021-9606},
720 uri = {<Go to ISI>://000081711200038},
721 }
722
723 @ARTICLE{Channell1990,
724 author = {P. J. Channell and C. Scovel},
725 title = {Symplectic Integration of Hamiltonian-Systems},
726 journal = {Nonlinearity},
727 year = {1990},
728 volume = {3},
729 pages = {231-259},
730 number = {2},
731 month = {may},
732 annote = {Dk631 Times Cited:152 Cited References Count:34},
733 issn = {0951-7715},
734 uri = {<Go to ISI>://A1990DK63100001},
735 }
736
737 @ARTICLE{Chen2003,
738 author = {B. Chen and F. Solis},
739 title = {Explicit mixed finite order Runge-Kutta methods},
740 journal = {Applied Numerical Mathematics},
741 year = {2003},
742 volume = {44},
743 pages = {21-30},
744 number = {1-2},
745 month = {Jan},
746 abstract = {We investigate the asymptotic behavior of systems of nonlinear differential
747 equations and introduce a family of mixed methods from combinations
748 of explicit Runge-Kutta methods. These methods have better stability
749 behavior than traditional Runge-Kutta methods and generally extend
750 the range of validity of the calculated solutions. These methods
751 also give a way of determining if the numerical solutions are real
752 or spurious. Emphasis is put on examples coming from mathematical
753 models in ecology. (C) 2002 IMACS. Published by Elsevier Science
754 B.V. All rights reserved.},
755 annote = {633ZD Times Cited:0 Cited References Count:9},
756 issn = {0168-9274},
757 uri = {<Go to ISI>://000180314200002},
758 }
759
760 @ARTICLE{Cheung2004,
761 author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
762 title = {Calculation of flexoelectric coefficients for a nematic liquid crystal
763 by atomistic simulation},
764 journal = {Journal of Chemical Physics},
765 year = {2004},
766 volume = {121},
767 pages = {9131-9139},
768 number = {18},
769 month = {Nov 8},
770 abstract = {Equilibrium molecular dynamics calculations have been performed for
771 the liquid crystal molecule n-4-(trans-4-n-pentylcyclohexyl)benzonitrile
772 (PCH5) using a fully atomistic model. Simulation data have been
773 obtained for a series of temperatures in the nematic phase. The
774 simulation data have been used to calculate the flexoelectric coefficients
775 e(s) and e(b) using the linear response formalism of Osipov and
776 Nemtsov [M. A. Osipov and V. B. Nemtsov, Sov. Phys. Crstallogr.
777 31, 125 (1986)]. The temperature and order parameter dependence
778 of e(s) and e(b) are examined, as are separate contributions from
779 different intermolecular interactions. Values of e(s) and e(b) calculated
780 from simulation are consistent with those found from experiment.
781 (C) 2004 American Institute of Physics.},
782 annote = {866UM Times Cited:4 Cited References Count:61},
783 issn = {0021-9606},
784 uri = {<Go to ISI>://000224798900053},
785 }
786
787 @ARTICLE{Cheung2002,
788 author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
789 title = {Calculation of the rotational viscosity of a nematic liquid crystal},
790 journal = {Chemical Physics Letters},
791 year = {2002},
792 volume = {356},
793 pages = {140-146},
794 number = {1-2},
795 month = {Apr 15},
796 abstract = {Equilibrium molecular dynamics calculations have been performed for
797 the liquid crystal molecule n-4-(trans-4-npentylcyclohexyl)benzonitrile
798 (PCH5) using a fully atomistic model. Simulation data has been obtained
799 for a series of temperatures in the nematic phase. The rotational
800 viscosity co-efficient gamma(1), has been calculated using the angular
801 velocity correlation function of the nematic director, n, the mean
802 squared diffusion of n and statistical mechanical methods based
803 on the rotational diffusion co-efficient. We find good agreement
804 between the first two methods and experimental values. (C) 2002
805 Published by Elsevier Science B.V.},
806 annote = {547KF Times Cited:8 Cited References Count:31},
807 issn = {0009-2614},
808 uri = {<Go to ISI>://000175331000020},
809 }
810
811 @ARTICLE{Chin2004,
812 author = {S. A. Chin},
813 title = {Dynamical multiple-time stepping methods for overcoming resonance
814 instabilities},
815 journal = {Journal of Chemical Physics},
816 year = {2004},
817 volume = {120},
818 pages = {8-13},
819 number = {1},
820 month = {Jan 1},
821 abstract = {Current molecular dynamics simulations of biomolecules using multiple
822 time steps to update the slowly changing force are hampered by instabilities
823 beginning at time steps near the half period of the fastest vibrating
824 mode. These #resonance# instabilities have became a critical barrier
825 preventing the long time simulation of biomolecular dynamics. Attempts
826 to tame these instabilities by altering the slowly changing force
827 and efforts to damp them out by Langevin dynamics do not address
828 the fundamental cause of these instabilities. In this work, we trace
829 the instability to the nonanalytic character of the underlying spectrum
830 and show that a correct splitting of the Hamiltonian, which renders
831 the spectrum analytic, restores stability. The resulting Hamiltonian
832 dictates that in addition to updating the momentum due to the slowly
833 changing force, one must also update the position with a modified
834 mass. Thus multiple-time stepping must be done dynamically. (C)
835 2004 American Institute of Physics.},
836 annote = {757TK Times Cited:1 Cited References Count:22},
837 issn = {0021-9606},
838 uri = {<Go to ISI>://000187577400003},
839 }
840
841 @ARTICLE{Cook2000,
842 author = {M. J. Cook and M. R. Wilson},
843 title = {Simulation studies of dipole correlation in the isotropic liquid
844 phase},
845 journal = {Liquid Crystals},
846 year = {2000},
847 volume = {27},
848 pages = {1573-1583},
849 number = {12},
850 month = {Dec},
851 abstract = {The Kirkwood correlation factor g(1) determines the preference for
852 local parallel or antiparallel dipole association in the isotropic
853 phase. Calamitic mesogens with longitudinal dipole moments and Kirkwood
854 factors greater than 1 have an enhanced effective dipole moment
855 along the molecular long axis. This leads to higher values of Delta
856 epsilon in the nematic phase. This paper describes state-of-the-art
857 molecular dynamics simulations of two calamitic mesogens 4-(trans-4-n-pentylcyclohexyl)benzonitrile
858 (PCH5) and 4-(trans-4-n-pentylcyclohexyl) chlorobenzene (PCH5-Cl)
859 in the isotropic liquid phase using an all-atom force field and
860 taking long range electrostatics into account using an Ewald summation.
861 Using this methodology, PCH5 is seen to prefer antiparallel dipole
862 alignment with a negative g(1) and PCH5-Cl is seen to prefer parallel
863 dipole alignment with a positive g(1); this is in accordance with
864 experimental dielectric measurements. Analysis of the molecular
865 dynamics trajectories allows an assessment of why these molecules
866 behave differently.},
867 annote = {376BF Times Cited:10 Cited References Count:16},
868 issn = {0267-8292},
869 uri = {<Go to ISI>://000165437800002},
870 }
871
872 @ARTICLE{Cui2003,
873 author = {B. X. Cui and M. Y. Shen and K. F. Freed},
874 title = {Folding and misfolding of the papillomavirus E6 interacting peptide
875 E6ap},
876 journal = {Proceedings of the National Academy of Sciences of the United States
877 of America},
878 year = {2003},
879 volume = {100},
880 pages = {7087-7092},
881 number = {12},
882 month = {Jun 10},
883 abstract = {All-atom Langevin dynamics simulations have been performed to study
884 the folding pathways of the 18-residue binding domain fragment E6ap
885 of the human papillomavirus E6 interacting peptide. Six independent
886 folding trajectories, with a total duration of nearly 2 mus, all
887 lead to the same native state in which the E6ap adopts a fluctuating
888 a-helix structure in the central portion (Ser-4-Leu-13) but with
889 very flexible N and C termini. Simulations starting from different
890 core configurations exhibit the E6ap folding dynamics as either
891 a two- or three-state folder with an intermediate misfolded state.
892 The essential leucine hydrophobic core (Leu-9, Leu-12, and Leu-13)
893 is well conserved in the native-state structure but absent in the
894 intermediate structure, suggesting that the leucine core is not
895 only essential for the binding activity of E6ap but also important
896 for the stability of the native structure. The free energy landscape
897 reveals a significant barrier between the basins separating the
898 native and misfolded states. We also discuss the various underlying
899 forces that drive the peptide into its native state.},
900 annote = {689LC Times Cited:3 Cited References Count:48},
901 issn = {0027-8424},
902 uri = {<Go to ISI>://000183493500037},
903 }
904
905 @ARTICLE{Denisov2003,
906 author = {S. I. Denisov and T. V. Lyutyy and K. N. Trohidou},
907 title = {Magnetic relaxation in finite two-dimensional nanoparticle ensembles},
908 journal = {Physical Review B},
909 year = {2003},
910 volume = {67},
911 pages = {-},
912 number = {1},
913 month = {Jan 1},
914 abstract = {We study the slow phase of thermally activated magnetic relaxation
915 in finite two-dimensional ensembles of dipolar interacting ferromagnetic
916 nanoparticles whose easy axes of magnetization are perpendicular
917 to the distribution plane. We develop a method to numerically simulate
918 the magnetic relaxation for the case that the smallest heights of
919 the potential barriers between the equilibrium directions of the
920 nanoparticle magnetic moments are much larger than the thermal energy.
921 Within this framework, we analyze in detail the role that the correlations
922 of the nanoparticle magnetic moments and the finite size of the
923 nanoparticle ensemble play in magnetic relaxation.},
924 annote = {642XH Times Cited:11 Cited References Count:31},
925 issn = {1098-0121},
926 uri = {<Go to ISI>://000180830400056},
927 }
928
929 @ARTICLE{Derreumaux1998,
930 author = {P. Derreumaux and T. Schlick},
931 title = {The loop opening/closing motion of the enzyme triosephosphate isomerase},
932 journal = {Biophysical Journal},
933 year = {1998},
934 volume = {74},
935 pages = {72-81},
936 number = {1},
937 month = {Jan},
938 abstract = {To explore the origin of the large-scale motion of triosephosphate
939 isomerase's flexible loop (residues 166 to 176) at the active site,
940 several simulation protocols are employed both for the free enzyme
941 in vacuo and for the free enzyme with some solvent modeling: high-temperature
942 Langevin dynamics simulations, sampling by a #dynamics##driver#
943 approach, and potential-energy surface calculations. Our focus is
944 on obtaining the energy barrier to the enzyme's motion and establishing
945 the nature of the loop movement. Previous calculations did not determine
946 this energy barrier and the effect of solvent on the barrier. High-temperature
947 molecular dynamics simulations and crystallographic studies have
948 suggested a rigid-body motion with two hinges located at both ends
949 of the loop; Brownian dynamics simulations at room temperature pointed
950 to a very flexible behavior. The present simulations and analyses
951 reveal that although solute/solvent hydrogen bonds play a crucial
952 role in lowering the energy along the pathway, there still remains
953 a high activation barrier, This finding clearly indicates that,
954 if the loop opens and closes in the absence of a substrate at standard
955 conditions (e.g., room temperature, appropriate concentration of
956 isomerase), the time scale for transition is not in the nanosecond
957 but rather the microsecond range. Our results also indicate that
958 in the context of spontaneous opening in the free enzyme, the motion
959 is of rigid-body type and that the specific interaction between
960 residues Ala(176) and Tyr(208) plays a crucial role in the loop
961 opening/closing mechanism.},
962 annote = {Zl046 Times Cited:30 Cited References Count:29},
963 issn = {0006-3495},
964 uri = {<Go to ISI>://000073393400009},
965 }
966
967 @ARTICLE{Dullweber1997,
968 author = {A. Dullweber and B. Leimkuhler and R. McLachlan},
969 title = {Symplectic splitting methods for rigid body molecular dynamics},
970 journal = {Journal of Chemical Physics},
971 year = {1997},
972 volume = {107},
973 pages = {5840-5851},
974 number = {15},
975 month = {Oct 15},
976 abstract = {Rigid body molecular models possess symplectic structure and time-reversal
977 symmetry. Standard numerical integration methods destroy both properties,
978 introducing nonphysical dynamical behavior such as numerically induced
979 dissipative states and drift in the energy during long term simulations.
980 This article describes the construction, implementation, and practical
981 application of fast explicit symplectic-reversible integrators for
982 multiple rigid body molecular simulations, These methods use a reduction
983 to Euler equations for the free rigid body, together with a symplectic
984 splitting technique. In every time step, the orientational dynamics
985 of each rigid body is integrated by a sequence of planar rotations.
986 Besides preserving the symplectic and reversible structures of the
987 flow, this scheme accurately conserves the total angular momentum
988 of a system of interacting rigid bodies. Excellent energy conservation
989 fan be obtained relative to traditional methods, especially in long-time
990 simulations. The method is implemented in a research code, ORIENT
991 and compared with a quaternion/extrapolation scheme for the TIP4P
992 model of water. Our experiments show that the symplectic-reversible
993 scheme is far superior to the more traditional quaternion method.
994 (C) 1997 American Institute of Physics.},
995 annote = {Ya587 Times Cited:35 Cited References Count:32},
996 issn = {0021-9606},
997 uri = {<Go to ISI>://A1997YA58700024},
998 }
999
1000 @BOOK{Gamma1994,
1001 title = {Design Patterns: Elements of Reusable Object-Oriented Software},
1002 publisher = {Perason Education},
1003 year = {1994},
1004 author = {E. Gamma, R. Helm, R. Johnson and J. Vlissides},
1005 address = {London},
1006 chapter = {7},
1007 }
1008
1009 @ARTICLE{Edwards2005,
1010 author = {S. A. Edwards and D. R. M. Williams},
1011 title = {Stretching a single diblock copolymer in a selective solvent: Langevin
1012 dynamics simulations},
1013 journal = {Macromolecules},
1014 year = {2005},
1015 volume = {38},
1016 pages = {10590-10595},
1017 number = {25},
1018 month = {Dec 13},
1019 abstract = {Using the Langevin dynamics technique, we have carried out simulations
1020 of a single-chain flexible diblock copolymer. The polymer consists
1021 of two blocks of equal length, one very poorly solvated and the
1022 other close to theta-conditions. We study what happens when such
1023 a polymer is stretched, for a range of different stretching speeds,
1024 and correlate our observations with features in the plot of force
1025 vs extension. We find that at slow speeds this force profile does
1026 not increase monotonically, in disagreement with earlier predictions,
1027 and that at high speeds there is a strong dependence on which end
1028 of the polymer is pulled, as well as a high level of hysteresis.},
1029 annote = {992EC Times Cited:0 Cited References Count:13},
1030 issn = {0024-9297},
1031 uri = {<Go to ISI>://000233866200035},
1032 }
1033
1034 @ARTICLE{Egberts1988,
1035 author = {E. Egberts and H. J. C. Berendsen},
1036 title = {Molecular-Dynamics Simulation of a Smectic Liquid-Crystal with Atomic
1037 Detail},
1038 journal = {Journal of Chemical Physics},
1039 year = {1988},
1040 volume = {89},
1041 pages = {3718-3732},
1042 number = {6},
1043 month = {Sep 15},
1044 annote = {Q0188 Times Cited:219 Cited References Count:43},
1045 issn = {0021-9606},
1046 uri = {<Go to ISI>://A1988Q018800036},
1047 }
1048
1049 @ARTICLE{Ermak1978,
1050 author = {D. L. Ermak and J. A. Mccammon},
1051 title = {Brownian Dynamics with Hydrodynamic Interactions},
1052 journal = {Journal of Chemical Physics},
1053 year = {1978},
1054 volume = {69},
1055 pages = {1352-1360},
1056 number = {4},
1057 annote = {Fp216 Times Cited:785 Cited References Count:42},
1058 issn = {0021-9606},
1059 uri = {<Go to ISI>://A1978FP21600004},
1060 }
1061
1062 @ARTICLE{Evans1977,
1063 author = {D. J. Evans},
1064 title = {Representation of Orientation Space},
1065 journal = {Molecular Physics},
1066 year = {1977},
1067 volume = {34},
1068 pages = {317-325},
1069 number = {2},
1070 annote = {Ds757 Times Cited:271 Cited References Count:18},
1071 issn = {0026-8976},
1072 uri = {<Go to ISI>://A1977DS75700002},
1073 }
1074
1075 @ARTICLE{Fennell2004,
1076 author = {C. J. Fennell and J. D. Gezelter},
1077 title = {On the structural and transport properties of the soft sticky dipole
1078 and related single-point water models},
1079 journal = {Journal of Chemical Physics},
1080 year = {2004},
1081 volume = {120},
1082 pages = {9175-9184},
1083 number = {19},
1084 month = {May 15},
1085 abstract = {The density maximum and temperature dependence of the self-diffusion
1086 constant were investigated for the soft sticky dipole (SSD) water
1087 model and two related reparametrizations of this single-point model.
1088 A combination of microcanonical and isobaric-isothermal molecular
1089 dynamics simulations was used to calculate these properties, both
1090 with and without the use of reaction field to handle long-range
1091 electrostatics. The isobaric-isothermal simulations of the melting
1092 of both ice-I-h and ice-I-c showed a density maximum near 260 K.
1093 In most cases, the use of the reaction field resulted in calculated
1094 densities which were significantly lower than experimental densities.
1095 Analysis of self-diffusion constants shows that the original SSD
1096 model captures the transport properties of experimental water very
1097 well in both the normal and supercooled liquid regimes. We also
1098 present our reparametrized versions of SSD for use both with the
1099 reaction field or without any long-range electrostatic corrections.
1100 These are called the SSD/RF and SSD/E models, respectively. These
1101 modified models were shown to maintain or improve upon the experimental
1102 agreement with the structural and transport properties that can
1103 be obtained with either the original SSD or the density-corrected
1104 version of the original model (SSD1). Additionally, a novel low-density
1105 ice structure is presented which appears to be the most stable ice
1106 structure for the entire SSD family. (C) 2004 American Institute
1107 of Physics.},
1108 annote = {816YY Times Cited:5 Cited References Count:39},
1109 issn = {0021-9606},
1110 uri = {<Go to ISI>://000221146400032},
1111 }
1112
1113 @ARTICLE{Fernandes2002,
1114 author = {M. X. Fernandes and J. G. {de la Torre}},
1115 title = {Brownian dynamics simulation of rigid particles of arbitrary shape
1116 in external fields},
1117 journal = {Biophysical Journal},
1118 year = {2002},
1119 volume = {83},
1120 pages = {3039-3048},
1121 number = {6},
1122 month = {Dec},
1123 abstract = {We have developed a Brownian dynamics simulation algorithm to generate
1124 Brownian trajectories of an isolated, rigid particle of arbitrary
1125 shape in the presence of electric fields or any other external agents.
1126 Starting from the generalized diffusion tensor, which can be calculated
1127 with the existing HYDRO software, the new program BROWNRIG (including
1128 a case-specific subprogram for the external agent) carries out a
1129 simulation that is analyzed later to extract the observable dynamic
1130 properties. We provide a variety of examples of utilization of this
1131 method, which serve as tests of its performance, and also illustrate
1132 its applicability. Examples include free diffusion, transport in
1133 an electric field, and diffusion in a restricting environment.},
1134 annote = {633AD Times Cited:2 Cited References Count:43},
1135 issn = {0006-3495},
1136 uri = {<Go to ISI>://000180256300012},
1137 }
1138
1139 @BOOK{Frenkel1996,
1140 title = {Understanding Molecular Simulation : From Algorithms to Applications},
1141 publisher = {Academic Press},
1142 year = {1996},
1143 author = {D. Frenkel and B. Smit},
1144 address = {New York},
1145 }
1146
1147 @ARTICLE{Gay1981,
1148 author = {J. G. Gay and B. J. Berne},
1149 title = {Modification of the Overlap Potential to Mimic a Linear Site-Site
1150 Potential},
1151 journal = {Journal of Chemical Physics},
1152 year = {1981},
1153 volume = {74},
1154 pages = {3316-3319},
1155 number = {6},
1156 annote = {Lj347 Times Cited:482 Cited References Count:13},
1157 issn = {0021-9606},
1158 uri = {<Go to ISI>://A1981LJ34700029},
1159 }
1160
1161 @ARTICLE{Gelin1999,
1162 author = {M. F. Gelin},
1163 title = {Inertial effects in the Brownian dynamics with rigid constraints},
1164 journal = {Macromolecular Theory and Simulations},
1165 year = {1999},
1166 volume = {8},
1167 pages = {529-543},
1168 number = {6},
1169 month = {Nov},
1170 abstract = {To investigate the influence of inertial effects on the dynamics of
1171 an assembly of beads subjected to rigid constraints and placed in
1172 a buffer medium, a convenient method to introduce suitable generalized
1173 coordinates is presented. Without any restriction on the nature
1174 of the soft forces involved (both stochastic and deterministic),
1175 pertinent Langevin equations are derived. Provided that the Brownian
1176 forces are Gaussian and Markovian, the corresponding Fokker-Planck
1177 equation (FPE) is obtained in the complete phase space of generalized
1178 coordinates and momenta. The correct short time behavior for correlation
1179 functions (CFs) of generalized coordinates is established, and the
1180 diffusion equation with memory (DEM) is deduced from the FPE in
1181 the high friction Limit. The DEM is invoked to perform illustrative
1182 calculations in two dimensions of the orientational CFs for once
1183 broken nonrigid rods immobilized on a surface. These calculations
1184 reveal that the CFs under certain conditions exhibit an oscillatory
1185 behavior, which is irreproducible within the standard diffusion
1186 equation. Several methods are considered for the approximate solution
1187 of the DEM, and their application to three dimensional DEMs is discussed.},
1188 annote = {257MM Times Cited:2 Cited References Count:82},
1189 issn = {1022-1344},
1190 uri = {<Go to ISI>://000083785700002},
1191 }
1192
1193 @BOOK{Goldstein2001,
1194 title = {Classical Mechanics},
1195 publisher = {Addison Wesley},
1196 year = {2001},
1197 author = {H. Goldstein and C. Poole and J. Safko},
1198 address = {San Francisco},
1199 edition = {3rd},
1200 }
1201
1202 @ARTICLE{Gray2003,
1203 author = {J. J. Gray and S. Moughon and C. Wang and O. Schueler-Furman and
1204 B. Kuhlman and C. A. Rohl and D. Baker},
1205 title = {Protein-protein docking with simultaneous optimization of rigid-body
1206 displacement and side-chain conformations},
1207 journal = {Journal of Molecular Biology},
1208 year = {2003},
1209 volume = {331},
1210 pages = {281-299},
1211 number = {1},
1212 month = {Aug 1},
1213 abstract = {Protein-protein docking algorithms provide a means to elucidate structural
1214 details for presently unknown complexes. Here, we present and evaluate
1215 a new method to predict protein-protein complexes from the coordinates
1216 of the unbound monomer components. The method employs a low-resolution,
1217 rigid-body, Monte Carlo search followed by simultaneous optimization
1218 of backbone displacement and side-chain conformations using Monte
1219 Carlo minimization. Up to 10(5) independent simulations are carried
1220 out, and the resulting #decoys# are ranked using an energy function
1221 dominated by van der Waals interactions, an implicit solvation model,
1222 and an orientation-dependent hydrogen bonding potential. Top-ranking
1223 decoys are clustered to select the final predictions. Small-perturbation
1224 studies reveal the formation of binding funnels in 42 of 54 cases
1225 using coordinates derived from the bound complexes and in 32 of
1226 54 cases using independently determined coordinates of one or both
1227 monomers. Experimental binding affinities correlate with the calculated
1228 score function and explain the predictive success or failure of
1229 many targets. Global searches using one or both unbound components
1230 predict at least 25% of the native residue-residue contacts in 28
1231 of the 32 cases where binding funnels exist. The results suggest
1232 that the method may soon be useful for generating models of biologically
1233 important complexes from the structures of the isolated components,
1234 but they also highlight the challenges that must be met to achieve
1235 consistent and accurate prediction of protein-protein interactions.
1236 (C) 2003 Elsevier Ltd. All rights reserved.},
1237 annote = {704QL Times Cited:48 Cited References Count:60},
1238 issn = {0022-2836},
1239 uri = {<Go to ISI>://000184351300022},
1240 }
1241
1242 @ARTICLE{Greengard1994,
1243 author = {L. Greengard},
1244 title = {Fast Algorithms for Classical Physics},
1245 journal = {Science},
1246 year = {1994},
1247 volume = {265},
1248 pages = {909-914},
1249 number = {5174},
1250 month = {Aug 12},
1251 abstract = {Some of the recently developed fast summation methods that have arisen
1252 in scientific computing are described. These methods require an
1253 amount of work proportional to N or N log N to evaluate all pairwise
1254 interactions in an ensemble of N particles. Traditional methods,
1255 by contrast, require an amount of work proportional to N-2. AS a
1256 result, large-scale simulations can be carried out using only modest
1257 computer resources. In combination with supercomputers, it is possible
1258 to address questions that were previously out of reach. Problems
1259 from diffusion, gravitation, and wave propagation are considered.},
1260 annote = {Pb499 Times Cited:99 Cited References Count:44},
1261 issn = {0036-8075},
1262 uri = {<Go to ISI>://A1994PB49900031},
1263 }
1264
1265 @ARTICLE{Greengard1987,
1266 author = {L. Greengard and V. Rokhlin},
1267 title = {A Fast Algorithm for Particle Simulations},
1268 journal = {Journal of Computational Physics},
1269 year = {1987},
1270 volume = {73},
1271 pages = {325-348},
1272 number = {2},
1273 month = {Dec},
1274 annote = {L0498 Times Cited:899 Cited References Count:7},
1275 issn = {0021-9991},
1276 uri = {<Go to ISI>://A1987L049800006},
1277 }
1278
1279 @ARTICLE{Hairer1997,
1280 author = {E. Hairer and C. Lubich},
1281 title = {The life-span of backward error analysis for numerical integrators},
1282 journal = {Numerische Mathematik},
1283 year = {1997},
1284 volume = {76},
1285 pages = {441-462},
1286 number = {4},
1287 month = {Jun},
1288 abstract = {Backward error analysis is a useful tool for the study of numerical
1289 approximations to ordinary differential equations. The numerical
1290 solution is formally interpreted as the exact solution of a perturbed
1291 differential equation, given as a formal and usually divergent series
1292 in powers of the step size. For a rigorous analysis, this series
1293 has to be truncated. In this article we study the influence of this
1294 truncation to the difference between the numerical solution and
1295 the exact solution of the perturbed differential equation. Results
1296 on the long-time behaviour of numerical solutions are obtained in
1297 this way. We present applications to the numerical phase portrait
1298 near hyperbolic equilibrium points, to asymptotically stable periodic
1299 orbits and Hopf bifurcation, and to energy conservation and approximation
1300 of invariant tori in Hamiltonian systems.},
1301 annote = {Xj488 Times Cited:50 Cited References Count:19},
1302 issn = {0029-599X},
1303 uri = {<Go to ISI>://A1997XJ48800002},
1304 }
1305
1306 @ARTICLE{Hao1993,
1307 author = {M. H. Hao and M. R. Pincus and S. Rackovsky and H. A. Scheraga},
1308 title = {Unfolding and Refolding of the Native Structure of Bovine Pancreatic
1309 Trypsin-Inhibitor Studied by Computer-Simulations},
1310 journal = {Biochemistry},
1311 year = {1993},
1312 volume = {32},
1313 pages = {9614-9631},
1314 number = {37},
1315 month = {Sep 21},
1316 abstract = {A new procedure for studying the folding and unfolding of proteins,
1317 with an application to bovine pancreatic trypsin inhibitor (BPTI),
1318 is reported. The unfolding and refolding of the native structure
1319 of the protein are characterized by the dimensions of the protein,
1320 expressed in terms of the three principal radii of the structure
1321 considered as an ellipsoid. A dynamic equation, describing the variations
1322 of the principal radii on the unfolding path, and a numerical procedure
1323 to solve this equation are proposed. Expanded and distorted conformations
1324 are refolded to the native structure by a dimensional-constraint
1325 energy minimization procedure. A unique and reproducible unfolding
1326 pathway for an intermediate of BPTI lacking the [30,51] disulfide
1327 bond is obtained. The resulting unfolded conformations are extended;
1328 they contain near-native local structure, but their longest principal
1329 radii are more than 2.5 times greater than that of the native structure.
1330 The most interesting finding is that the majority of expanded conformations,
1331 generated under various conditions, can be refolded closely to the
1332 native structure, as measured by the correct overall chain fold,
1333 by the rms deviations from the native structure of only 1.9-3.1
1334 angstrom, and by the energy differences of about 10 kcal/mol from
1335 the native structure. Introduction of the [30,51] disulfide bond
1336 at this stage, followed by minimization, improves the closeness
1337 of the refolded structures to the native structure, reducing the
1338 rms deviations to 0.9-2.0 angstrom. The unique refolding of these
1339 expanded structures over such a large conformational space implies
1340 that the folding is strongly dictated by the interactions in the
1341 amino acid sequence of BPTI. The simulations indicate that, under
1342 conditions that favor a compact structure as mimicked by the volume
1343 constraints in our algorithm; the expanded conformations have a
1344 strong tendency to move toward the native structure; therefore,
1345 they probably would be favorable folding intermediates. The results
1346 presented here support a general model for protein folding, i.e.,
1347 progressive formation of partially folded structural units, followed
1348 by collapse to the compact native structure. The general applicability
1349 of the procedure is also discussed.},
1350 annote = {Ly294 Times Cited:27 Cited References Count:57},
1351 issn = {0006-2960},
1352 uri = {<Go to ISI>://A1993LY29400014},
1353 }
1354
1355 @ARTICLE{Hinsen2000,
1356 author = {K. Hinsen and A. J. Petrescu and S. Dellerue and M. C. Bellissent-Funel
1357 and G. R. Kneller},
1358 title = {Harmonicity in slow protein dynamics},
1359 journal = {Chemical Physics},
1360 year = {2000},
1361 volume = {261},
1362 pages = {25-37},
1363 number = {1-2},
1364 month = {Nov 1},
1365 abstract = {The slow dynamics of proteins around its native folded state is usually
1366 described by diffusion in a strongly anharmonic potential. In this
1367 paper, we try to understand the form and origin of the anharmonicities,
1368 with the principal aim of gaining a better understanding of the
1369 principal motion types, but also in order to develop more efficient
1370 numerical methods for simulating neutron scattering spectra of large
1371 proteins. First, we decompose a molecular dynamics (MD) trajectory
1372 of 1.5 ns for a C-phycocyanin dimer surrounded by a layer of water
1373 into three contributions that we expect to be independent: the global
1374 motion of the residues, the rigid-body motion of the sidechains
1375 relative to the backbone, and the internal deformations of the sidechains.
1376 We show that they are indeed almost independent by verifying the
1377 factorization of the incoherent intermediate scattering function.
1378 Then, we show that the global residue motions, which include all
1379 large-scale backbone motions, can be reproduced by a simple harmonic
1380 model which contains two contributions: a short-time vibrational
1381 term, described by a standard normal mode calculation in a local
1382 minimum, and a long-time diffusive term, described by Brownian motion
1383 in an effective harmonic potential. The potential and the friction
1384 constants were fitted to the MD data. The major anharmonic contribution
1385 to the incoherent intermediate scattering function comes from the
1386 rigid-body diffusion of the sidechains. This model can be used to
1387 calculate scattering functions for large proteins and for long-time
1388 scales very efficiently, and thus provides a useful complement to
1389 MD simulations, which are best suited for detailed studies on smaller
1390 systems or for shorter time scales. (C) 2000 Elsevier Science B.V.
1391 All rights reserved.},
1392 annote = {Sp. Iss. SI 368MT Times Cited:16 Cited References Count:31},
1393 issn = {0301-0104},
1394 uri = {<Go to ISI>://000090121700003},
1395 }
1396
1397 @ARTICLE{Ho1992,
1398 author = {C. Ho and C. D. Stubbs},
1399 title = {Hydration at the Membrane Protein-Lipid Interface},
1400 journal = {Biophysical Journal},
1401 year = {1992},
1402 volume = {63},
1403 pages = {897-902},
1404 number = {4},
1405 month = {Oct},
1406 abstract = {Evidence has been found for the existence water at the protein-lipid
1407 hydrophobic interface ot the membrane proteins, gramicidin and apocytochrome
1408 C, using two related fluorescence spectroscopic approaches. The
1409 first approach exploited the fact that the presence of water in
1410 the excited state solvent cage of a fluorophore increases the rate
1411 of decay. For 1,6-diphenyl-1,3,5-hexatriene (DPH) and 1-palmitoyl-2-[[2-[4-(6-phenyl-trans-1,3,5-hexatrienyl)
1412 phenyl]ethyl]carbonyl]-3-sn-PC (DPH-PC), where the fluorophores
1413 are located in the hydrophobic core of the lipid bilayer, the introduction
1414 of gramicidin reduced the fluorescence lifetime, indicative of an
1415 increased presence of water in the bilayer. Since a high protein:lipid
1416 ratio was used, the fluorophores were forced to be adjacent to the
1417 protein hydrophobic surface, hence the presence of water in this
1418 region could be inferred. Cholesterol is known to reduce the water
1419 content of lipid bilayers and this effect was maintained at the
1420 protein-lipid interface with both gramicidin and apocytochrome C,
1421 again suggesting hydration in this region. The second approach was
1422 to use the fluorescence enhancement induced by exchanging deuterium
1423 oxide (D2O) for H2O. Both the fluorescence intensities of trimethylammonium-DPH,
1424 located in the lipid head group region, and of the gramicidin intrinsic
1425 tryptophans were greater in a D2O buffer compared with H2O, showing
1426 that the fluorophores were exposed to water in the bilayer at the
1427 protein-lipid interface. In the presence of cholesterol the fluorescence
1428 intensity ratio of D2O to H2O decreased, indicating a removal of
1429 water by the cholesterol, in keeping with the lifetime data. Altered
1430 hydration at the protein-lipid interface could affect conformation,
1431 thereby offering a new route by which membrane protein functioning
1432 may be modified.},
1433 annote = {Ju251 Times Cited:55 Cited References Count:44},
1434 issn = {0006-3495},
1435 uri = {<Go to ISI>://A1992JU25100002},
1436 }
1437
1438 @BOOK{Hockney1981,
1439 title = {Computer Simulation Using Particles},
1440 publisher = {McGraw-Hill},
1441 year = {1981},
1442 author = {R.W. Hockney and J.W. Eastwood},
1443 address = {New York},
1444 }
1445
1446 @ARTICLE{Hoover1985,
1447 author = {W. G. Hoover},
1448 title = {Canonical Dynamics - Equilibrium Phase-Space Distributions},
1449 journal = {Physical Review A},
1450 year = {1985},
1451 volume = {31},
1452 pages = {1695-1697},
1453 number = {3},
1454 annote = {Acr30 Times Cited:1809 Cited References Count:11},
1455 issn = {1050-2947},
1456 uri = {<Go to ISI>://A1985ACR3000056},
1457 }
1458
1459 @ARTICLE{Huh2004,
1460 author = {Y. Huh and N. M. Cann},
1461 title = {Discrimination in isotropic, nematic, and smectic phases of chiral
1462 calamitic molecules: A computer simulation study},
1463 journal = {Journal of Chemical Physics},
1464 year = {2004},
1465 volume = {121},
1466 pages = {10299-10308},
1467 number = {20},
1468 month = {Nov 22},
1469 abstract = {Racemic fluids of chiral calamitic molecules are investigated with
1470 molecular dynamics simulations. In particular, the phase behavior
1471 as a function of density is examined for eight racemates. The relationship
1472 between chiral discrimination and orientational order in the phase
1473 is explored. We find that the transition from the isotropic phase
1474 to a liquid crystal phase is accompanied by an increase in chiral
1475 discrimination, as measured by differences in radial distributions.
1476 Among ordered phases, discrimination is largest for smectic phases
1477 with a significant preference for heterochiral contact within the
1478 layers. (C) 2004 American Institute of Physics.},
1479 annote = {870FJ Times Cited:0 Cited References Count:63},
1480 issn = {0021-9606},
1481 uri = {<Go to ISI>://000225042700059},
1482 }
1483
1484 @ARTICLE{Humphrey1996,
1485 author = {W. Humphrey and A. Dalke and K. Schulten},
1486 title = {VMD: Visual molecular dynamics},
1487 journal = {Journal of Molecular Graphics},
1488 year = {1996},
1489 volume = {14},
1490 pages = {33-\&},
1491 number = {1},
1492 month = {Feb},
1493 abstract = {VMD is a molecular graphics program designed for the display and analysis
1494 of molecular assemblies, in particular biopolymers such as proteins
1495 and nucleic acids. VMD can simultaneously display any number of
1496 structures using a wide variety of rendering styles and coloring
1497 methods. Molecules are displayed as one or more ''representations,''
1498 in which each representation embodies a particular rendering method
1499 and coloring scheme for a selected subset of atoms. The atoms displayed
1500 in each representation are chosen using an extensive atom selection
1501 syntax, which includes Boolean operators and regular expressions.
1502 VMD provides a complete graphical user interface for program control,
1503 as well as a text interface using the Tcl embeddable parser to allow
1504 for complex scripts with variable substitution, control loops, and
1505 function calls. Full session logging is supported, which produces
1506 a VMD command script for later playback. High-resolution raster
1507 images of displayed molecules may be produced by generating input
1508 scripts for use by a number of photorealistic image-rendering applications.
1509 VMD has also been expressly designed with the ability to animate
1510 molecular dynamics (MD) simulation trajectories, imported either
1511 from files or from a direct connection to a running MD simulation.
1512 VMD is the visualization component of MDScope, a set of tools for
1513 interactive problem solving in structural biology, which also includes
1514 the parallel MD program NAMD, and the MDCOMM software used to connect
1515 the visualization and simulation programs. VMD is written in C++,
1516 using an object-oriented design; the program, including source code
1517 and extensive documentation, is freely available via anonymous ftp
1518 and through the World Wide Web.},
1519 annote = {Uh515 Times Cited:1418 Cited References Count:19},
1520 issn = {0263-7855},
1521 uri = {<Go to ISI>://A1996UH51500005},
1522 }
1523
1524 @ARTICLE{Izaguirre2001,
1525 author = {J. A. Izaguirre and D. P. Catarello and J. M. Wozniak and R. D. Skeel},
1526 title = {Langevin stabilization of molecular dynamics},
1527 journal = {Journal of Chemical Physics},
1528 year = {2001},
1529 volume = {114},
1530 pages = {2090-2098},
1531 number = {5},
1532 month = {Feb 1},
1533 abstract = {In this paper we show the possibility of using very mild stochastic
1534 damping to stabilize long time step integrators for Newtonian molecular
1535 dynamics. More specifically, stable and accurate integrations are
1536 obtained for damping coefficients that are only a few percent of
1537 the natural decay rate of processes of interest, such as the velocity
1538 autocorrelation function. Two new multiple time stepping integrators,
1539 Langevin Molly (LM) and Brunger-Brooks-Karplus-Molly (BBK-M), are
1540 introduced in this paper. Both use the mollified impulse method
1541 for the Newtonian term. LM uses a discretization of the Langevin
1542 equation that is exact for the constant force, and BBK-M uses the
1543 popular Brunger-Brooks-Karplus integrator (BBK). These integrators,
1544 along with an extrapolative method called LN, are evaluated across
1545 a wide range of damping coefficient values. When large damping coefficients
1546 are used, as one would for the implicit modeling of solvent molecules,
1547 the method LN is superior, with LM closely following. However, with
1548 mild damping of 0.2 ps(-1), LM produces the best results, allowing
1549 long time steps of 14 fs in simulations containing explicitly modeled
1550 flexible water. With BBK-M and the same damping coefficient, time
1551 steps of 12 fs are possible for the same system. Similar results
1552 are obtained for a solvated protein-DNA simulation of estrogen receptor
1553 ER with estrogen response element ERE. A parallel version of BBK-M
1554 runs nearly three times faster than the Verlet-I/r-RESPA (reversible
1555 reference system propagator algorithm) when using the largest stable
1556 time step on each one, and it also parallelizes well. The computation
1557 of diffusion coefficients for flexible water and ER/ERE shows that
1558 when mild damping of up to 0.2 ps-1 is used the dynamics are not
1559 significantly distorted. (C) 2001 American Institute of Physics.},
1560 annote = {397CQ Times Cited:14 Cited References Count:36},
1561 issn = {0021-9606},
1562 uri = {<Go to ISI>://000166676100020},
1563 }
1564
1565 @ARTICLE{Torre1977,
1566 author = {Jose Garcia De La Torre, V.A. Bloomfield},
1567 title = {Hydrodynamic properties of macromolecular complexes. I. Translation},
1568 journal = {Biopolymers},
1569 year = {1977},
1570 volume = {16},
1571 pages = {1747-1763},
1572 }
1573
1574 @ARTICLE{Kale1999,
1575 author = {L. Kale and R. Skeel and M. Bhandarkar and R. Brunner and A. Gursoy
1576 and N. Krawetz and J. Phillips and A. Shinozaki and K. Varadarajan
1577 and K. Schulten},
1578 title = {NAMD2: Greater scalability for parallel molecular dynamics},
1579 journal = {Journal of Computational Physics},
1580 year = {1999},
1581 volume = {151},
1582 pages = {283-312},
1583 number = {1},
1584 month = {May 1},
1585 abstract = {Molecular dynamics programs simulate the behavior of biomolecular
1586 systems, leading to understanding of their functions. However, the
1587 computational complexity of such simulations is enormous. Parallel
1588 machines provide the potential to meet this computational challenge.
1589 To harness this potential, it is necessary to develop a scalable
1590 program. It is also necessary that the program be easily modified
1591 by application-domain programmers. The NAMD2 program presented in
1592 this paper seeks to provide these desirable features. It uses spatial
1593 decomposition combined with force decomposition to enhance scalability.
1594 It uses intelligent periodic load balancing, so as to maximally
1595 utilize the available compute power. It is modularly organized,
1596 and implemented using Charm++, a parallel C++ dialect, so as to
1597 enhance its modifiability. It uses a combination of numerical techniques
1598 and algorithms to ensure that energy drifts are minimized, ensuring
1599 accuracy in long running calculations. NAMD2 uses a portable run-time
1600 framework called Converse that also supports interoperability among
1601 multiple parallel paradigms. As a result, different components of
1602 applications can be written in the most appropriate parallel paradigms.
1603 NAMD2 runs on most parallel machines including workstation clusters
1604 and has yielded speedups in excess of 180 on 220 processors. This
1605 paper also describes the performance obtained on some benchmark
1606 applications. (C) 1999 Academic Press.},
1607 annote = {194FM Times Cited:373 Cited References Count:51},
1608 issn = {0021-9991},
1609 uri = {<Go to ISI>://000080181500013},
1610 }
1611
1612 @ARTICLE{Kane2000,
1613 author = {C. Kane and J. E. Marsden and M. Ortiz and M. West},
1614 title = {Variational integrators and the Newmark algorithm for conservative
1615 and dissipative mechanical systems},
1616 journal = {International Journal for Numerical Methods in Engineering},
1617 year = {2000},
1618 volume = {49},
1619 pages = {1295-1325},
1620 number = {10},
1621 month = {Dec 10},
1622 abstract = {The purpose of this work is twofold. First, we demonstrate analytically
1623 that the classical Newmark family as well as related integration
1624 algorithms are variational in the sense of the Veselov formulation
1625 of discrete mechanics. Such variational algorithms are well known
1626 to be symplectic and momentum preserving and to often have excellent
1627 global energy behaviour. This analytical result is verified through
1628 numerical examples and is believed to be one of the primary reasons
1629 that this class of algorithms performs so well. Second, we develop
1630 algorithms for mechanical systems with forcing, and in particular,
1631 for dissipative systems. In this case, we develop integrators that
1632 are based on a discretization of the Lagrange d'Alembert principle
1633 as well as on a variational formulation of dissipation. It is demonstrated
1634 that these types of structured integrators have good numerical behaviour
1635 in terms of obtaining the correct amounts by which the energy changes
1636 over the integration run. Copyright (C) 2000 John Wiley & Sons,
1637 Ltd.},
1638 annote = {373CJ Times Cited:30 Cited References Count:41},
1639 issn = {0029-5981},
1640 uri = {<Go to ISI>://000165270600004},
1641 }
1642
1643 @ARTICLE{Klimov1997,
1644 author = {D. K. Klimov and D. Thirumalai},
1645 title = {Viscosity dependence of the folding rates of proteins},
1646 journal = {Physical Review Letters},
1647 year = {1997},
1648 volume = {79},
1649 pages = {317-320},
1650 number = {2},
1651 month = {Jul 14},
1652 abstract = {The viscosity (eta) dependence of the folding rates for four sequences
1653 (the native state of three sequences is a beta sheet, while the
1654 fourth forms an alpha helix) is calculated for off-lattice models
1655 of proteins. Assuming that the dynamics is given by the Langevin
1656 equation, we show that the folding rates increase linearly at low
1657 viscosities eta, decrease as 1/eta at large eta, and have a maximum
1658 at intermediate values. The Kramers' theory of barrier crossing
1659 provides a quantitative fit of the numerical results. By mapping
1660 the simulation results to real proteins we estimate that for optimized
1661 sequences the time scale for forming a four turn alpha-helix topology
1662 is about 500 ns, whereas for beta sheet it is about 10 mu s.},
1663 annote = {Xk293 Times Cited:77 Cited References Count:17},
1664 issn = {0031-9007},
1665 uri = {<Go to ISI>://A1997XK29300035},
1666 }
1667
1668 @ARTICLE{Kol1997,
1669 author = {A. Kol and B. B. Laird and B. J. Leimkuhler},
1670 title = {A symplectic method for rigid-body molecular simulation},
1671 journal = {Journal of Chemical Physics},
1672 year = {1997},
1673 volume = {107},
1674 pages = {2580-2588},
1675 number = {7},
1676 month = {Aug 15},
1677 abstract = {Rigid-body molecular dynamics simulations typically are performed
1678 in a quaternion representation. The nonseparable form of the Hamiltonian
1679 in quaternions prevents the use of a standard leapfrog (Verlet)
1680 integrator, so nonsymplectic Runge-Kutta, multistep, or extrapolation
1681 methods are generally used, This is unfortunate since symplectic
1682 methods like Verlet exhibit superior energy conservation in long-time
1683 integrations. In this article, we describe an alternative method,
1684 which we call RSHAKE (for rotation-SHAKE), in which the entire rotation
1685 matrix is evolved (using the scheme of McLachlan and Scovel [J.
1686 Nonlin. Sci, 16 233 (1995)]) in tandem with the particle positions.
1687 We employ a fast approximate Newton solver to preserve the orthogonality
1688 of the rotation matrix. We test our method on a system of soft-sphere
1689 dipoles and compare with quaternion evolution using a 4th-order
1690 predictor-corrector integrator, Although the short-time error of
1691 the quaternion algorithm is smaller for fixed time step than that
1692 for RSHAKE, the quaternion scheme exhibits an energy drift which
1693 is not observed in simulations with RSHAKE, hence a fixed energy
1694 tolerance can be achieved by using a larger time step, The superiority
1695 of RSHAKE increases with system size. (C) 1997 American Institute
1696 of Physics.},
1697 annote = {Xq332 Times Cited:11 Cited References Count:18},
1698 issn = {0021-9606},
1699 uri = {<Go to ISI>://A1997XQ33200046},
1700 }
1701
1702 @ARTICLE{Lansac2001,
1703 author = {Y. Lansac and M. A. Glaser and N. A. Clark},
1704 title = {Microscopic structure and dynamics of a partial bilayer smectic liquid
1705 crystal},
1706 journal = {Physical Review E},
1707 year = {2001},
1708 volume = {6405},
1709 pages = {-},
1710 number = {5},
1711 month = {Nov},
1712 abstract = {Cyanobiphenyls (nCB's) represent a useful and intensively studied
1713 class of mesogens. Many of the peculiar properties of nCB's (e.g.,
1714 the occurence of the partial bilayer smectic-A(d) phase) are thought
1715 to be a manifestation of short-range antiparallel association of
1716 neighboring molecules, resulting from strong dipole-dipole interactions
1717 between cyano groups. To test and extend existing models of microscopic
1718 ordering in nCB's, we carry out large-scale atomistic simulation
1719 studies of the microscopic structure and dynamics of the Sm-A(d)
1720 phase of 4-octyl-4'-cyanobiphenyl (8CB). We compute a variety of
1721 thermodynamic, structural, and dynamical properties for this material,
1722 and make a detailed comparison of our results with experimental
1723 measurements in order to validate our molecular model. Semiquantitative
1724 agreement with experiment is found: the smectic layer spacing and
1725 mass density are well reproduced, translational diffusion constants
1726 are similar to experiment, but the orientational ordering of alkyl
1727 chains is overestimated. This simulation provides a detailed picture
1728 of molecular conformation, smectic layer structure, and intermolecular
1729 correlations in Sm-A(d) 8CB, and demonstrates that pronounced short-range
1730 antiparallel association of molecules arising from dipole-dipole
1731 interactions plays a dominant role in determining the molecular-scale
1732 structure of 8CB.},
1733 annote = {Part 1 496QF Times Cited:10 Cited References Count:60},
1734 issn = {1063-651X},
1735 uri = {<Go to ISI>://000172406900063},
1736 }
1737
1738 @ARTICLE{Lansac2003,
1739 author = {Y. Lansac and P. K. Maiti and N. A. Clark and M. A. Glaser},
1740 title = {Phase behavior of bent-core molecules},
1741 journal = {Physical Review E},
1742 year = {2003},
1743 volume = {67},
1744 pages = {-},
1745 number = {1},
1746 month = {Jan},
1747 abstract = {Recently, a new class of smectic liquid crystal phases characterized
1748 by the spontaneous formation of macroscopic chiral domains from
1749 achiral bent-core molecules has been discovered. We have carried
1750 out Monte Carlo simulations of a minimal hard spherocylinder dimer
1751 model to investigate the role of excluded volume interactions in
1752 determining the phase behavior of bent-core materials and to probe
1753 the molecular origins of polar and chiral symmetry breaking. We
1754 present the phase diagram of hard spherocylinder dimers of length-diameter
1755 ratio of 5 as a function of pressure or density and dimer opening
1756 angle psi. With decreasing psi, a transition from a nonpolar to
1757 a polar smectic A phase is observed near psi=167degrees, and the
1758 nematic phase becomes thermodynamically unstable for psi<135degrees.
1759 Free energy calculations indicate that the antipolar smectic A (SmAP(A))
1760 phase is more stable than the polar smectic A phase (SmAP(F)). No
1761 chiral smectic or biaxial nematic phases were found.},
1762 annote = {Part 1 646CM Times Cited:15 Cited References Count:38},
1763 issn = {1063-651X},
1764 uri = {<Go to ISI>://000181017300042},
1765 }
1766
1767 @BOOK{Leach2001,
1768 title = {Molecular Modeling: Principles and Applications},
1769 publisher = {Pearson Educated Limited},
1770 year = {2001},
1771 author = {A. Leach},
1772 address = {Harlow, England},
1773 edition = {2nd},
1774 }
1775
1776 @ARTICLE{Leimkuhler1999,
1777 author = {B. Leimkuhler},
1778 title = {Reversible adaptive regularization: perturbed Kepler motion and classical
1779 atomic trajectories},
1780 journal = {Philosophical Transactions of the Royal Society of London Series
1781 a-Mathematical Physical and Engineering Sciences},
1782 year = {1999},
1783 volume = {357},
1784 pages = {1101-1133},
1785 number = {1754},
1786 month = {Apr 15},
1787 abstract = {Reversible and adaptive integration methods based on Kustaanheimo-Stiefel
1788 regularization and modified Sundman transformations are applied
1789 to simulate general perturbed Kepler motion and to compute classical
1790 trajectories of atomic systems (e.g. Rydberg atoms). The new family
1791 of reversible adaptive regularization methods also conserves angular
1792 momentum and exhibits superior energy conservation and numerical
1793 stability in long-time integrations. The schemes are appropriate
1794 for scattering, for astronomical calculations of escape time and
1795 long-term stability, and for classical and semiclassical studies
1796 of atomic dynamics. The components of an algorithm for trajectory
1797 calculations are described. Numerical experiments illustrate the
1798 effectiveness of the reversible approach.},
1799 annote = {199EE Times Cited:11 Cited References Count:48},
1800 issn = {1364-503X},
1801 uri = {<Go to ISI>://000080466800007},
1802 }
1803
1804 @BOOK{Leimkuhler2004,
1805 title = {Simulating Hamiltonian Dynamics},
1806 publisher = {Cambridge University Press},
1807 year = {2004},
1808 author = {B. Leimkuhler and S. Reich},
1809 address = {Cambridge},
1810 }
1811
1812 @ARTICLE{Levelut1981,
1813 author = {A. M. Levelut and R. J. Tarento and F. Hardouin and M. F. Achard
1814 and G. Sigaud},
1815 title = {Number of Sa Phases},
1816 journal = {Physical Review A},
1817 year = {1981},
1818 volume = {24},
1819 pages = {2180-2186},
1820 number = {4},
1821 annote = {Ml751 Times Cited:96 Cited References Count:16},
1822 issn = {1050-2947},
1823 uri = {<Go to ISI>://A1981ML75100057},
1824 }
1825
1826 @ARTICLE{Lieb1982,
1827 author = {W. R. Lieb and M. Kovalycsik and R. Mendelsohn},
1828 title = {Do Clinical-Levels of General-Anesthetics Affect Lipid Bilayers -
1829 Evidence from Raman-Scattering},
1830 journal = {Biochimica Et Biophysica Acta},
1831 year = {1982},
1832 volume = {688},
1833 pages = {388-398},
1834 number = {2},
1835 annote = {Nu461 Times Cited:40 Cited References Count:28},
1836 issn = {0006-3002},
1837 uri = {<Go to ISI>://A1982NU46100012},
1838 }
1839
1840 @ARTICLE{Link1997,
1841 author = {D. R. Link and G. Natale and R. Shao and J. E. Maclennan and N. A.
1842 Clark and E. Korblova and D. M. Walba},
1843 title = {Spontaneous formation of macroscopic chiral domains in a fluid smectic
1844 phase of achiral molecules},
1845 journal = {Science},
1846 year = {1997},
1847 volume = {278},
1848 pages = {1924-1927},
1849 number = {5345},
1850 month = {Dec 12},
1851 abstract = {A smectic liquid-crystal phase made from achiral molecules with bent
1852 cores was found to have fluid layers that exhibit two spontaneous
1853 symmetry-breaking instabilities: polar molecular orientational ordering
1854 about the layer normal and molecular tilt. These instabilities combine
1855 to form a chiral layer structure with a handedness that depends
1856 on the sign of the tilt. The bulk states are either antiferroelectric-racemic,
1857 with the layer polar direction and handedness alternating in sign
1858 from layer to layer, or antiferroelectric-chiral, which is of uniform
1859 layer handedness. Both states exhibit an electric field-induced
1860 transition from antiferroelectric to ferroelectric.},
1861 annote = {Yl002 Times Cited:407 Cited References Count:25},
1862 issn = {0036-8075},
1863 uri = {<Go to ISI>://A1997YL00200028},
1864 }
1865
1866 @ARTICLE{Liwo2005,
1867 author = {A. Liwo and M. Khalili and H. A. Scheraga},
1868 title = {Ab initio simulations of protein folding pathways by molecular dynamics
1869 with the united-residue (UNRES) model of polypeptide chains},
1870 journal = {Febs Journal},
1871 year = {2005},
1872 volume = {272},
1873 pages = {359-360},
1874 month = {Jul},
1875 annote = {Suppl. 1 005MG Times Cited:0 Cited References Count:0},
1876 issn = {1742-464X},
1877 uri = {<Go to ISI>://000234826102043},
1878 }
1879
1880 @ARTICLE{Luty1994,
1881 author = {B. A. Luty and M. E. Davis and I. G. Tironi and W. F. Vangunsteren},
1882 title = {A Comparison of Particle-Particle, Particle-Mesh and Ewald Methods
1883 for Calculating Electrostatic Interactions in Periodic Molecular-Systems},
1884 journal = {Molecular Simulation},
1885 year = {1994},
1886 volume = {14},
1887 pages = {11-20},
1888 number = {1},
1889 abstract = {We compare the Particle-Particle Particle-Mesh (PPPM) and Ewald methods
1890 for calculating electrostatic interactions in periodic molecular
1891 systems. A brief comparison of the theories shows that the methods
1892 are very similar differing mainly in the technique which is used
1893 to perform the ''k-space'' or mesh calculation. Because the PPPM
1894 utilizes the highly efficient numerical Fast Fourier Transform (FFT)
1895 method it requires significantly less computational effort than
1896 the Ewald method and scale's almost linearly with system size.},
1897 annote = {Qf464 Times Cited:50 Cited References Count:20},
1898 issn = {0892-7022},
1899 uri = {<Go to ISI>://A1994QF46400002},
1900 }
1901
1902 @BOOK{Marion1990,
1903 title = {Classical Dynamics of Particles and Systems},
1904 publisher = {Academic Press},
1905 year = {1990},
1906 author = {J.~B. Marion},
1907 address = {New York},
1908 edition = {2rd},
1909 }
1910
1911 @ARTICLE{Marrink1994,
1912 author = {S. J. Marrink and H. J. C. Berendsen},
1913 title = {Simulation of Water Transport through a Lipid-Membrane},
1914 journal = {Journal of Physical Chemistry},
1915 year = {1994},
1916 volume = {98},
1917 pages = {4155-4168},
1918 number = {15},
1919 month = {Apr 14},
1920 abstract = {To obtain insight in the process of water permeation through a lipid
1921 membrane, we performed molecular dynamics simulations on a phospholipid
1922 (DPPC)/water system with atomic detail. Since the actual process
1923 of permeation is too slow to be studied directly, we deduced the
1924 permeation rate indirectly via computation of the free energy and
1925 diffusion rate profiles of a water molecule across the bilayer.
1926 We conclude that the permeation of water through a lipid membrane
1927 cannot be described adequately by a simple homogeneous solubility-diffusion
1928 model. Both the excess free energy and the diffusion rate strongly
1929 depend on the position in the membrane, as a result from the inhomogeneous
1930 nature of the membrane. The calculated excess free energy profile
1931 has a shallow slope and a maximum height of 26 kJ/mol. The diffusion
1932 rate is highest in the middle of the membrane where the lipid density
1933 is low. In the interfacial region almost all water molecules are
1934 bound by the lipid headgroups, and the diffusion turns out to be
1935 1 order of magnitude smaller. The total transport process is essentially
1936 determined by the free energy barrier. The rate-limiting step is
1937 the permeation through the dense part of the lipid tails, where
1938 the resistance is highest. We found a permeation rate of 7(+/-3)
1939 x 10(-2) cm/s at 350 K, comparable to experimental values for DPPC
1940 membranes, if corrected for the temperature of the simulation. Taking
1941 the inhomogeneity of the membrane into account, we define a new
1942 ''four-region'' model which seems to be more realistic than the
1943 ''two-phase'' solubility-diffusion model.},
1944 annote = {Ng219 Times Cited:187 Cited References Count:25},
1945 issn = {0022-3654},
1946 uri = {<Go to ISI>://A1994NG21900040},
1947 }
1948
1949 @ARTICLE{Marsden1998,
1950 author = {J. E. Marsden and G. W. Patrick and S. Shkoller},
1951 title = {Multisymplectic geometry, variational integrators, and nonlinear
1952 PDEs},
1953 journal = {Communications in Mathematical Physics},
1954 year = {1998},
1955 volume = {199},
1956 pages = {351-395},
1957 number = {2},
1958 month = {Dec},
1959 abstract = {This paper presents a geometric-variational approach to continuous
1960 and discrete mechanics and field theories. Using multisymplectic
1961 geometry, we show that the existence of the fundamental geometric
1962 structures as well as their preservation along solutions can be
1963 obtained directly from the variational principle. In particular,
1964 we prove that a unique multisymplectic structure is obtained by
1965 taking the derivative of an action function, and use this structure
1966 to prove covariant generalizations of conservation of symplecticity
1967 and Noether's theorem. Natural discretization schemes for PDEs,
1968 which have these important preservation properties, then follow
1969 by choosing a discrete action functional. In the case of mechanics,
1970 we recover the variational symplectic integrators of Veselov type,
1971 while for PDEs we obtain covariant spacetime integrators which conserve
1972 the corresponding discrete multisymplectic form as well as the discrete
1973 momentum mappings corresponding to symmetries. We show that the
1974 usual notion of symplecticity along an infinite-dimensional space
1975 of fields can be naturally obtained by making a spacetime split.
1976 All of the aspects of our method are demonstrated with a nonlinear
1977 sine-Gordon equation, including computational results and a comparison
1978 with other discretization schemes.},
1979 annote = {154RH Times Cited:88 Cited References Count:36},
1980 issn = {0010-3616},
1981 uri = {<Go to ISI>://000077902200006},
1982 }
1983
1984 @ARTICLE{Matthey2004,
1985 author = {T. Matthey and T. Cickovski and S. Hampton and A. Ko and Q. Ma and
1986 M. Nyerges and T. Raeder and T. Slabach and J. A. Izaguirre},
1987 title = {ProtoMol, an object-oriented framework for prototyping novel algorithms
1988 for molecular dynamics},
1989 journal = {Acm Transactions on Mathematical Software},
1990 year = {2004},
1991 volume = {30},
1992 pages = {237-265},
1993 number = {3},
1994 month = {Sep},
1995 abstract = {PROTOMOL is a high-performance framework in C++ for rapid prototyping
1996 of novel algorithms for molecular dynamics and related applications.
1997 Its flexibility is achieved primarily through the use of inheritance
1998 and design patterns (object-oriented programming): Performance is
1999 obtained by using templates that enable generation of efficient
2000 code for sections critical to performance (generic programming).
2001 The framework encapsulates important optimizations that can be used
2002 by developers, such as parallelism in the force computation. Its
2003 design is based on domain analysis of numerical integrators for
2004 molecular dynamics (MD) and of fast solvers for the force computation,
2005 particularly due to electrostatic interactions. Several new and
2006 efficient algorithms are implemented in PROTOMOL. Finally, it is
2007 shown that PROTOMOL'S sequential performance is excellent when compared
2008 to a leading MD program, and that it scales well for moderate number
2009 of processors. Binaries and source codes for Windows, Linux, Solaris,
2010 IRIX, HP-UX, and AIX platforms are available under open source license
2011 at http://protomol.sourceforge.net.},
2012 annote = {860EP Times Cited:2 Cited References Count:52},
2013 issn = {0098-3500},
2014 uri = {<Go to ISI>://000224325600001},
2015 }
2016
2017 @ARTICLE{McLachlan1993,
2018 author = {R.~I McLachlan},
2019 title = {Explicit Lie-Poisson integration and the Euler equations},
2020 journal = {prl},
2021 year = {1993},
2022 volume = {71},
2023 pages = {3043-3046},
2024 }
2025
2026 @ARTICLE{McLachlan1998,
2027 author = {R. I. McLachlan and G. R. W. Quispel},
2028 title = {Generating functions for dynamical systems with symmetries, integrals,
2029 and differential invariants},
2030 journal = {Physica D},
2031 year = {1998},
2032 volume = {112},
2033 pages = {298-309},
2034 number = {1-2},
2035 month = {Jan 15},
2036 abstract = {We give a survey and some new examples of generating functions for
2037 systems with symplectic structure, systems with a first integral,
2038 systems that preserve volume, and systems with symmetries and/or
2039 time-reversing symmetries. Both ODEs and maps are treated, and we
2040 discuss how generating functions may be used in the structure-preserving
2041 numerical integration of ODEs with the above properties.},
2042 annote = {Yt049 Times Cited:7 Cited References Count:26},
2043 issn = {0167-2789},
2044 uri = {<Go to ISI>://000071558900021},
2045 }
2046
2047 @ARTICLE{McLachlan1998a,
2048 author = {R. I. McLachlan and G. R. W. Quispel and G. S. Turner},
2049 title = {Numerical integrators that preserve symmetries and reversing symmetries},
2050 journal = {Siam Journal on Numerical Analysis},
2051 year = {1998},
2052 volume = {35},
2053 pages = {586-599},
2054 number = {2},
2055 month = {Apr},
2056 abstract = {We consider properties of flows, the relationships between them, and
2057 whether numerical integrators can be made to preserve these properties.
2058 This is done in the context of automorphisms and antiautomorphisms
2059 of a certain group generated by maps associated to vector fields.
2060 This new framework unifies several known constructions. We also
2061 use the concept of #covariance# of a numerical method with respect
2062 to a group of coordinate transformations. The main application is
2063 to explore the relationship between spatial symmetries, reversing
2064 symmetries, and time symmetry of flows and numerical integrators.},
2065 annote = {Zc449 Times Cited:14 Cited References Count:33},
2066 issn = {0036-1429},
2067 uri = {<Go to ISI>://000072580500010},
2068 }
2069
2070 @ARTICLE{McLachlan2005,
2071 author = {R. I. McLachlan and A. Zanna},
2072 title = {The discrete Moser-Veselov algorithm for the free rigid body, revisited},
2073 journal = {Foundations of Computational Mathematics},
2074 year = {2005},
2075 volume = {5},
2076 pages = {87-123},
2077 number = {1},
2078 month = {Feb},
2079 abstract = {In this paper we revisit the Moser-Veselov description of the free
2080 rigid body in body coordinates, which, in the 3 x 3 case, can be
2081 implemented as an explicit, second-order, integrable approximation
2082 of the continuous solution. By backward error analysis, we study
2083 the modified vector field which is integrated exactly by the discrete
2084 algorithm. We deduce that the discrete Moser-Veselov (DMV) is well
2085 approximated to higher order by time reparametrizations of the continuous
2086 equations (modified vector field). We use the modified vector field
2087 to scale the initial data of the DMV to improve the order of the
2088 approximation and show the equivalence of the DMV and the RATTLE
2089 algorithm. Numerical integration with these preprocessed initial
2090 data is several orders of magnitude more accurate than the original
2091 DMV and RATTLE approach.},
2092 annote = {911NS Times Cited:0 Cited References Count:14},
2093 issn = {1615-3375},
2094 uri = {<Go to ISI>://000228011900003},
2095 }
2096
2097 @ARTICLE{Meineke2005,
2098 author = {M. A. Meineke and C. F. Vardeman and T. Lin and C. J. Fennell and
2099 J. D. Gezelter},
2100 title = {OOPSE: An object-oriented parallel simulation engine for molecular
2101 dynamics},
2102 journal = {Journal of Computational Chemistry},
2103 year = {2005},
2104 volume = {26},
2105 pages = {252-271},
2106 number = {3},
2107 month = {Feb},
2108 abstract = {OOPSE is a new molecular dynamics simulation program that is capable
2109 of efficiently integrating equations of motion for atom types with
2110 orientational degrees of freedom (e.g. #sticky# atoms and point
2111 dipoles). Transition metals can also be simulated using the embedded
2112 atom method (EAM) potential included in the code. Parallel simulations
2113 are carried out using the force-based decomposition method. Simulations
2114 are specified using a very simple C-based meta-data language. A
2115 number of advanced integrators are included, and the basic integrator
2116 for orientational dynamics provides substantial improvements over
2117 older quaternion-based schemes. (C) 2004 Wiley Periodicals, Inc.},
2118 annote = {891CF Times Cited:1 Cited References Count:56},
2119 issn = {0192-8651},
2120 uri = {<Go to ISI>://000226558200006},
2121 }
2122
2123 @ARTICLE{Melchionna1993,
2124 author = {S. Melchionna and G. Ciccotti and B. L. Holian},
2125 title = {Hoover Npt Dynamics for Systems Varying in Shape and Size},
2126 journal = {Molecular Physics},
2127 year = {1993},
2128 volume = {78},
2129 pages = {533-544},
2130 number = {3},
2131 month = {Feb 20},
2132 abstract = {In this paper we write down equations of motion (following the approach
2133 pioneered by Hoover) for an exact isothermal-isobaric molecular
2134 dynamics simulation, and we extend them to multiple thermostating
2135 rates, to a shape-varying cell and to molecular systems, coherently
2136 with the previous 'extended system method'. An integration scheme
2137 is proposed together with a numerical illustration of the method.},
2138 annote = {Kq355 Times Cited:172 Cited References Count:17},
2139 issn = {0026-8976},
2140 uri = {<Go to ISI>://A1993KQ35500002},
2141 }
2142
2143 @ARTICLE{Memmer2002,
2144 author = {R. Memmer},
2145 title = {Liquid crystal phases of achiral banana-shaped molecules: a computer
2146 simulation study},
2147 journal = {Liquid Crystals},
2148 year = {2002},
2149 volume = {29},
2150 pages = {483-496},
2151 number = {4},
2152 month = {Apr},
2153 abstract = {The phase behaviour of achiral banana-shaped molecules was studied
2154 by computer simulation. The banana-shaped molecules were described
2155 by model intermolecular interactions based on the Gay-Berne potential.
2156 The characteristic molecular structure was considered by joining
2157 two calamitic Gay-Berne particles through a bond to form a biaxial
2158 molecule of point symmetry group C-2v with a suitable bending angle.
2159 The dependence on temperature of systems of N=1024 rigid banana-shaped
2160 molecules with bending angle phi=140degrees has been studied by
2161 means of Monte Carlo simulations in the isobaric-isothermal ensemble
2162 (NpT). On cooling an isotropic system, two phase transitions characterized
2163 by phase transition enthalpy, entropy and relative volume change
2164 have been observed. For the first time by computer simulation of
2165 a many-particle system of banana-shaped molecules, at low temperature
2166 an untilted smectic phase showing a global phase biaxiality and
2167 a spontaneous local polarization in the layers, i.e. a local polar
2168 arrangement of the steric dipoles, with an antiferroelectric-like
2169 superstructure could be proven, a phase structure which recently
2170 has been discovered experimentally. Additionally, at intermediate
2171 temperature a nematic-like phase has been proved, whereas close
2172 to the transition to the smectic phase hints of a spontaneous achiral
2173 symmetry breaking have been determined. Here, in the absence of
2174 a layered structure a helical superstructure has been formed. All
2175 phases have been characterized by visual representations of selected
2176 configurations, scalar and pseudoscalar correlation functions, and
2177 order parameters.},
2178 annote = {531HT Times Cited:12 Cited References Count:37},
2179 issn = {0267-8292},
2180 uri = {<Go to ISI>://000174410500001},
2181 }
2182
2183 @ARTICLE{Metropolis1949,
2184 author = {N. Metropolis and S. Ulam},
2185 title = {The $\mbox{Monte Carlo}$ Method},
2186 journal = {J. Am. Stat. Ass.},
2187 year = {1949},
2188 volume = {44},
2189 pages = {335-341},
2190 }
2191
2192 @ARTICLE{Mielke2004,
2193 author = {S. P. Mielke and W. H. Fink and V. V. Krishnan and N. Gronbech-Jensen
2194 and C. J. Benham},
2195 title = {Transcription-driven twin supercoiling of a DNA loop: A Brownian
2196 dynamics study},
2197 journal = {Journal of Chemical Physics},
2198 year = {2004},
2199 volume = {121},
2200 pages = {8104-8112},
2201 number = {16},
2202 month = {Oct 22},
2203 abstract = {The torque generated by RNA polymerase as it tracks along double-stranded
2204 DNA can potentially induce long-range structural deformations integral
2205 to mechanisms of biological significance in both prokaryotes and
2206 eukaryotes. In this paper, we introduce a dynamic computer model
2207 for investigating this phenomenon. Duplex DNA is represented as
2208 a chain of hydrodynamic beads interacting through potentials of
2209 linearly elastic stretching, bending, and twisting, as well as excluded
2210 volume. The chain, linear when relaxed, is looped to form two open
2211 but topologically constrained subdomains. This permits the dynamic
2212 introduction of torsional stress via a centrally applied torque.
2213 We simulate by Brownian dynamics the 100 mus response of a 477-base
2214 pair B-DNA template to the localized torque generated by the prokaryotic
2215 transcription ensemble. Following a sharp rise at early times, the
2216 distributed twist assumes a nearly constant value in both subdomains,
2217 and a succession of supercoiling deformations occurs as superhelical
2218 stress is increasingly partitioned to writhe. The magnitude of writhe
2219 surpasses that of twist before also leveling off when the structure
2220 reaches mechanical equilibrium with the torsional load. Superhelicity
2221 is simultaneously right handed in one subdomain and left handed
2222 in the other, as predicted by the #transcription-induced##twin-supercoiled-domain#
2223 model [L. F. Liu and J. C. Wang, Proc. Natl. Acad. Sci. U.S.A. 84,
2224 7024 (1987)]. The properties of the chain at the onset of writhing
2225 agree well with predictions from theory, and the generated stress
2226 is ample for driving secondary structural transitions in physiological
2227 DNA. (C) 2004 American Institute of Physics.},
2228 annote = {861ZF Times Cited:3 Cited References Count:34},
2229 issn = {0021-9606},
2230 uri = {<Go to ISI>://000224456500064},
2231 }
2232
2233 @ARTICLE{Naess2001,
2234 author = {S. N. Naess and H. M. Adland and A. Mikkelsen and A. Elgsaeter},
2235 title = {Brownian dynamics simulation of rigid bodies and segmented polymer
2236 chains. Use of Cartesian rotation vectors as the generalized coordinates
2237 describing angular orientations},
2238 journal = {Physica A},
2239 year = {2001},
2240 volume = {294},
2241 pages = {323-339},
2242 number = {3-4},
2243 month = {May 15},
2244 abstract = {The three Eulerian angles constitute the classical choice of generalized
2245 coordinates used to describe the three degrees of rotational freedom
2246 of a rigid body, but it has long been known that this choice yields
2247 singular equations of motion. The latter is also true when Eulerian
2248 angles are used in Brownian dynamics analyses of the angular orientation
2249 of single rigid bodies and segmented polymer chains. Starting from
2250 kinetic theory we here show that by instead employing the three
2251 components of Cartesian rotation vectors as the generalized coordinates
2252 describing angular orientation, no singularity appears in the configuration
2253 space diffusion equation and the associated Brownian dynamics algorithm.
2254 The suitability of Cartesian rotation vectors in Brownian dynamics
2255 simulations of segmented polymer chains with spring-like or ball-socket
2256 joints is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.},
2257 annote = {433TA Times Cited:7 Cited References Count:19},
2258 issn = {0378-4371},
2259 uri = {<Go to ISI>://000168774800005},
2260 }
2261
2262 @ARTICLE{Niori1996,
2263 author = {T. Niori and T. Sekine and J. Watanabe and T. Furukawa and H. Takezoe},
2264 title = {Distinct ferroelectric smectic liquid crystals consisting of banana
2265 shaped achiral molecules},
2266 journal = {Journal of Materials Chemistry},
2267 year = {1996},
2268 volume = {6},
2269 pages = {1231-1233},
2270 number = {7},
2271 month = {Jul},
2272 abstract = {The synthesis of a banana-shaped molecule is reported and it is found
2273 that the smectic phase which it forms is biaxial with the molecules
2274 packed in the best,direction into a layer. Because of this characteristic
2275 packing, spontaneous polarization appears parallel to the layer
2276 and switches on reversal of an applied electric field. This is the
2277 first obvious example of ferroelectricity in an achiral smectic
2278 phase and is ascribed to the C-2v symmetry of the molecular packing.},
2279 annote = {Ux855 Times Cited:447 Cited References Count:18},
2280 issn = {0959-9428},
2281 uri = {<Go to ISI>://A1996UX85500025},
2282 }
2283
2284 @ARTICLE{Noguchi2002,
2285 author = {H. Noguchi and M. Takasu},
2286 title = {Structural changes of pulled vesicles: A Brownian dynamics simulation},
2287 journal = {Physical Review E},
2288 year = {2002},
2289 volume = {65},
2290 pages = {-},
2291 number = {5},
2292 month = {may},
2293 abstract = {We Studied the structural changes of bilayer vesicles induced by mechanical
2294 forces using a Brownian dynamics simulation. Two nanoparticles,
2295 which interact repulsively with amphiphilic molecules, are put inside
2296 a vesicle. The position of one nanoparticle is fixed, and the other
2297 is moved by a constant force as in optical-trapping experiments.
2298 First, the pulled vesicle stretches into a pear or tube shape. Then
2299 the inner monolayer in the tube-shaped region is deformed, and a
2300 cylindrical structure is formed between two vesicles. After stretching
2301 the cylindrical region, fission occurs near the moved vesicle. Soon
2302 after this the cylindrical region shrinks. The trapping force similar
2303 to 100 pN is needed to induce the formation of the cylindrical structure
2304 and fission.},
2305 annote = {Part 1 568PX Times Cited:5 Cited References Count:39},
2306 issn = {1063-651X},
2307 uri = {<Go to ISI>://000176552300084},
2308 }
2309
2310 @ARTICLE{Noguchi2001,
2311 author = {H. Noguchi and M. Takasu},
2312 title = {Fusion pathways of vesicles: A Brownian dynamics simulation},
2313 journal = {Journal of Chemical Physics},
2314 year = {2001},
2315 volume = {115},
2316 pages = {9547-9551},
2317 number = {20},
2318 month = {Nov 22},
2319 abstract = {We studied the fusion dynamics of vesicles using a Brownian dynamics
2320 simulation. Amphiphilic molecules spontaneously form vesicles with
2321 a bilayer structure. Two vesicles come into contact and form a stalk
2322 intermediate, in which a necklike structure only connects the outer
2323 monolayers, as predicted by the stalk hypothesis. We have found
2324 a new pathway of pore opening from stalks at high temperature: the
2325 elliptic stalk bends and contact between the ends of the arc-shaped
2326 stalk leads to pore opening. On the other hand, we have clarified
2327 that the pore-opening process at low temperature agrees with the
2328 modified stalk model: a pore is induced by contact between the inner
2329 monolayers inside the stalk. (C) 2001 American Institute of Physics.},
2330 annote = {491UW Times Cited:48 Cited References Count:25},
2331 issn = {0021-9606},
2332 uri = {<Go to ISI>://000172129300049},
2333 }
2334
2335 @BOOK{Olver1986,
2336 title = {Applications of Lie groups to differential equatitons},
2337 publisher = {Springer},
2338 year = {1986},
2339 author = {P.J. Olver},
2340 address = {New York},
2341 }
2342
2343 @ARTICLE{Omelyan1998,
2344 author = {I. P. Omelyan},
2345 title = {On the numerical integration of motion for rigid polyatomics: The
2346 modified quaternion approach},
2347 journal = {Computers in Physics},
2348 year = {1998},
2349 volume = {12},
2350 pages = {97-103},
2351 number = {1},
2352 month = {Jan-Feb},
2353 abstract = {A revised version of the quaternion approach for numerical integration
2354 of the equations of motion for rigid polyatomic molecules is proposed.
2355 The modified approach is based on a formulation of the quaternion
2356 dynamics with constraints. This allows one to resolve the rigidity
2357 problem rigorously using constraint forces. It is shown that the
2358 procedure for preservation of molecular rigidity can be realized
2359 particularly simply within the Verlet algorithm in velocity form.
2360 We demonstrate that the method presented leads to an improved numerical
2361 stability with respect to the usual quaternion rescaling scheme
2362 and it is roughly as good as the cumbersome atomic-constraint technique.
2363 (C) 1998 American Institute of Physics.},
2364 annote = {Yx279 Times Cited:12 Cited References Count:28},
2365 issn = {0894-1866},
2366 uri = {<Go to ISI>://000072024300025},
2367 }
2368
2369 @ARTICLE{Omelyan1998a,
2370 author = {I. P. Omelyan},
2371 title = {Algorithm for numerical integration of the rigid-body equations of
2372 motion},
2373 journal = {Physical Review E},
2374 year = {1998},
2375 volume = {58},
2376 pages = {1169-1172},
2377 number = {1},
2378 month = {Jul},
2379 abstract = {An algorithm for numerical integration of the rigid-body equations
2380 of motion is proposed. The algorithm uses the leapfrog scheme and
2381 the quantities involved are angular velocities and orientational
2382 variables that can be expressed in terms of either principal axes
2383 or quaternions. Due to specific features of the algorithm, orthonormality
2384 and unit norms of the orientational variables are integrals of motion,
2385 despite an approximate character of the produced trajectories. It
2386 is shown that the method presented appears to be the most efficient
2387 among all such algorithms known.},
2388 annote = {101XL Times Cited:8 Cited References Count:22},
2389 issn = {1063-651X},
2390 uri = {<Go to ISI>://000074893400151},
2391 }
2392
2393 @ARTICLE{Orlandi2006,
2394 author = {S. Orlandi and R. Berardi and J. Steltzer and C. Zannoni},
2395 title = {A Monte Carlo study of the mesophases formed by polar bent-shaped
2396 molecules},
2397 journal = {Journal of Chemical Physics},
2398 year = {2006},
2399 volume = {124},
2400 pages = {-},
2401 number = {12},
2402 month = {Mar 28},
2403 abstract = {Liquid crystal phases formed by bent-shaped (or #banana#) molecules
2404 are currently of great interest. Here we investigate by Monte Carlo
2405 computer simulations the phases formed by rigid banana molecules
2406 modeled combining three Gay-Berne sites and containing either one
2407 central or two lateral and transversal dipoles. We show that changing
2408 the dipole position and orientation has a profound effect on the
2409 mesophase stability and molecular organization. In particular, we
2410 find a uniaxial nematic phase only for off-center dipolar models
2411 and tilted phases only for the one with terminal dipoles. (c) 2006
2412 American Institute of Physics.},
2413 annote = {028CP Times Cited:0 Cited References Count:42},
2414 issn = {0021-9606},
2415 uri = {<Go to ISI>://000236464000072},
2416 }
2417
2418 @ARTICLE{Owren1992,
2419 author = {B. Owren and M. Zennaro},
2420 title = {Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods},
2421 journal = {Siam Journal on Scientific and Statistical Computing},
2422 year = {1992},
2423 volume = {13},
2424 pages = {1488-1501},
2425 number = {6},
2426 month = {Nov},
2427 abstract = {Continuous, explicit Runge-Kutta methods with the minimal number of
2428 stages are considered. These methods are continuously differentiable
2429 if and only if one of the stages is the FSAL evaluation. A characterization
2430 of a subclass of these methods is developed for orders 3, 4, and
2431 5. It is shown how the free parameters of these methods can be used
2432 either to minimize the continuous truncation error coefficients
2433 or to maximize the stability region. As a representative for these
2434 methods the fifth-order method with minimized error coefficients
2435 is chosen, supplied with an error estimation method, and analysed
2436 by using the DETEST software. The results are compared with a similar
2437 implementation of the Dormand-Prince 5(4) pair with interpolant,
2438 showing a significant advantage in the new method for the chosen
2439 problems.},
2440 annote = {Ju936 Times Cited:25 Cited References Count:20},
2441 issn = {0196-5204},
2442 uri = {<Go to ISI>://A1992JU93600013},
2443 }
2444
2445 @ARTICLE{Palacios1998,
2446 author = {J. L. Garcia-Palacios and F. J. Lazaro},
2447 title = {Langevin-dynamics study of the dynamical properties of small magnetic
2448 particles},
2449 journal = {Physical Review B},
2450 year = {1998},
2451 volume = {58},
2452 pages = {14937-14958},
2453 number = {22},
2454 month = {Dec 1},
2455 abstract = {The stochastic Landau-Lifshitz-Gilbert equation of motion for a classical
2456 magnetic moment is numerically solved (properly observing the customary
2457 interpretation of it as a Stratonovich stochastic differential equation),
2458 in order to study the dynamics of magnetic nanoparticles. The corresponding
2459 Langevin-dynamics approach allows for the study of the fluctuating
2460 trajectories of individual magnetic moments, where we have encountered
2461 remarkable phenomena in the overbarrier rotation process, such as
2462 crossing-back or multiple crossing of the potential barrier, rooted
2463 in the gyromagnetic nature of the system. Concerning averaged quantities,
2464 we study the linear dynamic response of the archetypal ensemble
2465 of noninteracting classical magnetic moments with axially symmetric
2466 magnetic anisotropy. The results are compared with different analytical
2467 expressions used to model the relaxation of nanoparticle ensembles,
2468 assessing their accuracy. It has been found that, among a number
2469 of heuristic expressions for the linear dynamic susceptibility,
2470 only the simple formula proposed by Shliomis and Stepanov matches
2471 the coarse features of the susceptibility reasonably. By comparing
2472 the numerical results with the asymptotic formula of Storonkin {Sov.
2473 Phys. Crystallogr. 30, 489 (1985) [Kristallografiya 30, 841 (1985)]},
2474 the effects of the intra-potential-well relaxation modes on the
2475 low-temperature longitudinal dynamic response have been assessed,
2476 showing their relatively small reflection in the susceptibility
2477 curves but their dramatic influence on the phase shifts. Comparison
2478 of the numerical results with the exact zero-damping expression
2479 for the transverse susceptibility by Garanin, Ishchenko, and Panina
2480 {Theor. Math. Phys. (USSR) 82, 169 (1990) [Teor. Mat. Fit. 82, 242
2481 (1990)]}, reveals a sizable contribution of the spread of the precession
2482 frequencies of the magnetic moment in the anisotropy field to the
2483 dynamic response at intermediate-to-high temperatures. [S0163-1829
2484 (98)00446-9].},
2485 annote = {146XW Times Cited:66 Cited References Count:45},
2486 issn = {0163-1829},
2487 uri = {<Go to ISI>://000077460000052},
2488 }
2489
2490 @ARTICLE{Parr1995,
2491 author = {T. J. Parr and R. W. Quong},
2492 title = {Antlr - a Predicated-Ll(K) Parser Generator},
2493 journal = {Software-Practice \& Experience},
2494 year = {1995},
2495 volume = {25},
2496 pages = {789-810},
2497 number = {7},
2498 month = {Jul},
2499 abstract = {Despite the parsing power of LR/LALR algorithms, e.g. YACC, programmers
2500 often choose to write recursive-descent parsers by hand to obtain
2501 increased flexibility, better error handling, and ease of debugging.
2502 We introduce ANTLR, a public-domain parser generator that combines
2503 the flexibility of hand-coded parsing with the convenience of a
2504 parser generator, which is a component of PCCTS. ANTLR has many
2505 features that make it easier to use than other language tools. Most
2506 important, ANTLR provides predicates which let the programmer systematically
2507 direct the parse via arbitrary expressions using semantic and syntactic
2508 context; in practice, the use of predicates eliminates the need
2509 to hand-tweak the ANTLR output, even for difficult parsing problems.
2510 ANTLR also integrates the description of lexical and syntactic analysis,
2511 accepts LL(k) grammars for k > 1 with extended BNF notation, and
2512 can automatically generate abstract syntax trees. ANTLR is widely
2513 used, with over 1000 registered industrial and academic users in
2514 37 countries. It has been ported to many popular systems such as
2515 the PC, Macintosh, and a variety of UNIX platforms; a commercial
2516 C++ front-end has been developed as a result of one of our industrial
2517 collaborations.},
2518 annote = {Rk104 Times Cited:19 Cited References Count:10},
2519 issn = {0038-0644},
2520 uri = {<Go to ISI>://A1995RK10400004},
2521 }
2522
2523 @ARTICLE{Pastor1988,
2524 author = {R. W. Pastor and B. R. Brooks and A. Szabo},
2525 title = {An Analysis of the Accuracy of Langevin and Molecular-Dynamics Algorithms},
2526 journal = {Molecular Physics},
2527 year = {1988},
2528 volume = {65},
2529 pages = {1409-1419},
2530 number = {6},
2531 month = {Dec 20},
2532 annote = {T1302 Times Cited:61 Cited References Count:26},
2533 issn = {0026-8976},
2534 uri = {<Go to ISI>://A1988T130200011},
2535 }
2536
2537 @ARTICLE{Pelzl1999,
2538 author = {G. Pelzl and S. Diele and W. Weissflog},
2539 title = {Banana-shaped compounds - A new field of liquid crystals},
2540 journal = {Advanced Materials},
2541 year = {1999},
2542 volume = {11},
2543 pages = {707-724},
2544 number = {9},
2545 month = {Jul 5},
2546 annote = {220RC Times Cited:313 Cited References Count:49},
2547 issn = {0935-9648},
2548 uri = {<Go to ISI>://000081680400007},
2549 }
2550
2551 @ARTICLE{Perram1985,
2552 author = {J. W. Perram and M. S. Wertheim},
2553 title = {Statistical-Mechanics of Hard Ellipsoids .1. Overlap Algorithm and
2554 the Contact Function},
2555 journal = {Journal of Computational Physics},
2556 year = {1985},
2557 volume = {58},
2558 pages = {409-416},
2559 number = {3},
2560 annote = {Akb93 Times Cited:71 Cited References Count:12},
2561 issn = {0021-9991},
2562 uri = {<Go to ISI>://A1985AKB9300008},
2563 }
2564
2565 @ARTICLE{Rotne1969,
2566 author = {F. Perrin},
2567 title = {Variational treatment of hydrodynamic interaction in polymers},
2568 journal = {J. Chem. Phys.},
2569 year = {1969},
2570 volume = {50},
2571 pages = {4831¨C4837},
2572 }
2573
2574 @ARTICLE{Perrin1936,
2575 author = {F. Perrin},
2576 title = {Mouvement brownien d'un ellipsoid(II). Rotation libre et depolarisation
2577 des fluorescences. Translation et diffusion de moleculese ellipsoidales},
2578 journal = {J. Phys. Radium},
2579 year = {1936},
2580 volume = {7},
2581 pages = {1-11},
2582 }
2583
2584 @ARTICLE{Perrin1934,
2585 author = {F. Perrin},
2586 title = {Mouvement brownien d'un ellipsoid(I). Dispersion dielectrique pour
2587 des molecules ellipsoidales},
2588 journal = {J. Phys. Radium},
2589 year = {1934},
2590 volume = {5},
2591 pages = {497-511},
2592 }
2593
2594 @ARTICLE{Petrache2000,
2595 author = {H.~I. Petrache and S.~W. Dodd and M.~F. Brown},
2596 title = {Area per Lipid and Acyl Length Distributions in Fluid Phosphatidylcholines
2597 Determined by $^2\text{H}$ {\sc nmr} Spectroscopy},
2598 journal = {Biophysical Journal},
2599 year = {2000},
2600 volume = {79},
2601 pages = {3172-3192},
2602 }
2603
2604 @ARTICLE{Petrache1998,
2605 author = {H. I. Petrache and S. Tristram-Nagle and J. F. Nagle},
2606 title = {Fluid phase structure of EPC and DMPC bilayers},
2607 journal = {Chemistry and Physics of Lipids},
2608 year = {1998},
2609 volume = {95},
2610 pages = {83-94},
2611 number = {1},
2612 month = {Sep},
2613 abstract = {X-ray diffraction data taken at high instrumental resolution were
2614 obtained for EPC and DMPC under various osmotic pressures, primarily
2615 at T = 30 degrees C. The headgroup thickness D-HH was obtained from
2616 relative electron density profiles. By using volumetric results
2617 and by comparing to gel phase DPPC we obtain areas A(EPC)(F) = 69.4
2618 +/- 1.1 Angstrom(2) and A(DMPC)(F) = 59.7 +/- 0.2 Angstrom(2). The
2619 analysis also gives estimates for the areal compressibility K-A.
2620 The A(F) results lead to other structural results regarding membrane
2621 thickness and associated waters. Using the recently determined absolute
2622 electrons density profile of DPPC, the AF results also lead to absolute
2623 electron density profiles and absolute continuous transforms \F(q)\
2624 for EPC and DMPC, Limited measurements of temperature dependence
2625 show directly that fluctuations increase with increasing temperature
2626 and that a small decrease in bending modulus K-c accounts for the
2627 increased water spacing reported by Simon et al. (1995) Biophys.
2628 J. 69, 1473-1483. (C) 1998 Elsevier Science Ireland Ltd. All rights
2629 reserved.},
2630 annote = {130AT Times Cited:98 Cited References Count:39},
2631 issn = {0009-3084},
2632 uri = {<Go to ISI>://000076497600007},
2633 }
2634
2635 @ARTICLE{Powles1973,
2636 author = {J.~G. Powles},
2637 title = {A general ellipsoid can not always serve as a modle for the rotational
2638 diffusion properties of arbitrary shaped rigid molecules},
2639 journal = {Advan. Phys.},
2640 year = {1973},
2641 volume = {22},
2642 pages = {1-56},
2643 }
2644
2645 @ARTICLE{Recio2004,
2646 author = {J. Fernandez-Recio and M. Totrov and R. Abagyan},
2647 title = {Identification of protein-protein interaction sites from docking
2648 energy landscapes},
2649 journal = {Journal of Molecular Biology},
2650 year = {2004},
2651 volume = {335},
2652 pages = {843-865},
2653 number = {3},
2654 month = {Jan 16},
2655 abstract = {Protein recognition is one of the most challenging and intriguing
2656 problems in structural biology. Despite all the available structural,
2657 sequence and biophysical information about protein-protein complexes,
2658 the physico-chemical patterns, if any, that make a protein surface
2659 likely to be involved in protein-protein interactions, remain elusive.
2660 Here, we apply protein docking simulations and analysis of the interaction
2661 energy landscapes to identify protein-protein interaction sites.
2662 The new protocol for global docking based on multi-start global
2663 energy optimization of an allatom model of the ligand, with detailed
2664 receptor potentials and atomic solvation parameters optimized in
2665 a training set of 24 complexes, explores the conformational space
2666 around the whole receptor without restrictions. The ensembles of
2667 the rigid-body docking solutions generated by the simulations were
2668 subsequently used to project the docking energy landscapes onto
2669 the protein surfaces. We found that highly populated low-energy
2670 regions consistently corresponded to actual binding sites. The procedure
2671 was validated on a test set of 21 known protein-protein complexes
2672 not used in the training set. As much as 81% of the predicted high-propensity
2673 patch residues were located correctly in the native interfaces.
2674 This approach can guide the design of mutations on the surfaces
2675 of proteins, provide geometrical details of a possible interaction,
2676 and help to annotate protein surfaces in structural proteomics.
2677 (C) 2003 Elsevier Ltd. All rights reserved.},
2678 annote = {763GQ Times Cited:21 Cited References Count:59},
2679 issn = {0022-2836},
2680 uri = {<Go to ISI>://000188066900016},
2681 }
2682
2683 @ARTICLE{Reddy2006,
2684 author = {R. A. Reddy and C. Tschierske},
2685 title = {Bent-core liquid crystals: polar order, superstructural chirality
2686 and spontaneous desymmetrisation in soft matter systems},
2687 journal = {Journal of Materials Chemistry},
2688 year = {2006},
2689 volume = {16},
2690 pages = {907-961},
2691 number = {10},
2692 abstract = {An overview on the recent developments in the field of liquid crystalline
2693 bent-core molecules (so-called banana liquid crystals) is given.
2694 After some basic issues, dealing with general aspects of the systematisation
2695 of the mesophases, development of polar order and chirality in this
2696 class of LC systems and explaining some general structure-property
2697 relationships, we focus on fascinating new developments in this
2698 field, such as modulated, undulated and columnar phases, so-called
2699 B7 phases, phase biaxiality, ferroelectric and antiferroelectric
2700 polar order in smectic and columnar phases, amplification and switching
2701 of chirality and the spontaneous formation of superstructural and
2702 supramolecular chirality.},
2703 annote = {021NS Times Cited:2 Cited References Count:316},
2704 issn = {0959-9428},
2705 uri = {<Go to ISI>://000235990500001},
2706 }
2707
2708 @ARTICLE{Reich1999,
2709 author = {S. Reich},
2710 title = {Backward error analysis for numerical integrators},
2711 journal = {Siam Journal on Numerical Analysis},
2712 year = {1999},
2713 volume = {36},
2714 pages = {1549-1570},
2715 number = {5},
2716 month = {Sep 8},
2717 abstract = {Backward error analysis has become an important tool for understanding
2718 the long time behavior of numerical integration methods. This is
2719 true in particular for the integration of Hamiltonian systems where
2720 backward error analysis can be used to show that a symplectic method
2721 will conserve energy over exponentially long periods of time. Such
2722 results are typically based on two aspects of backward error analysis:
2723 (i) It can be shown that the modified vector fields have some qualitative
2724 properties which they share with the given problem and (ii) an estimate
2725 is given for the difference between the best interpolating vector
2726 field and the numerical method. These aspects have been investigated
2727 recently, for example, by Benettin and Giorgilli in [J. Statist.
2728 Phys., 74 (1994), pp. 1117-1143], by Hairer in [Ann. Numer. Math.,
2729 1 (1994), pp. 107-132], and by Hairer and Lubich in [Numer. Math.,
2730 76 (1997), pp. 441-462]. In this paper we aim at providing a unifying
2731 framework and a simplification of the existing results and corresponding
2732 proofs. Our approach to backward error analysis is based on a simple
2733 recursive definition of the modified vector fields that does not
2734 require explicit Taylor series expansion of the numerical method
2735 and the corresponding flow maps as in the above-cited works. As
2736 an application we discuss the long time integration of chaotic Hamiltonian
2737 systems and the approximation of time averages along numerically
2738 computed trajectories.},
2739 annote = {237HV Times Cited:43 Cited References Count:41},
2740 issn = {0036-1429},
2741 uri = {<Go to ISI>://000082650600010},
2742 }
2743
2744 @ARTICLE{Ros2005,
2745 author = {M. B. Ros and J. L. Serrano and M. R. {de la Fuente} and C. L. Folcia},
2746 title = {Banana-shaped liquid crystals: a new field to explore},
2747 journal = {Journal of Materials Chemistry},
2748 year = {2005},
2749 volume = {15},
2750 pages = {5093-5098},
2751 number = {48},
2752 abstract = {The recent literature in the field of liquid crystals shows that banana-shaped
2753 mesogenic materials represent a bewitching and stimulating field
2754 of research that is interesting both academically and in terms of
2755 applications. Numerous topics are open to investigation in this
2756 area because of the rich phenomenology and new possibilities that
2757 these materials offer. The principal concepts in this area are reviewed
2758 along with recent results. In addition, new directions to stimulate
2759 further research activities are highlighted.},
2760 annote = {990XA Times Cited:3 Cited References Count:72},
2761 issn = {0959-9428},
2762 uri = {<Go to ISI>://000233775500001},
2763 }
2764
2765 @ARTICLE{Roux1991,
2766 author = {B. Roux and M. Karplus},
2767 title = {Ion-Transport in a Gramicidin-Like Channel - Dynamics and Mobility},
2768 journal = {Journal of Physical Chemistry},
2769 year = {1991},
2770 volume = {95},
2771 pages = {4856-4868},
2772 number = {12},
2773 month = {Jun 13},
2774 abstract = {The mobility of water, Na+. and K+ has been calculated inside a periodic
2775 poly-(L,D)-alanine beta-helix, a model for the interior of the gramicidin
2776 channel. Because of the different dynamical regimes for the three
2777 species (high barrier for Na+, low barrier for K+, almost free diffusion
2778 for water), different methods are used to calculate the mobilities.
2779 By use of activated dynamics and a potential of mean force determined
2780 previously (Roux, B.; Karplus, M. Biophys. J. 1991, 59, 961), the
2781 barrier crossing rate of Na+ ion is determined. The motion of Na+
2782 at the transition state is controlled by local interactions and
2783 collisions with the neighboring carbonyls and the two nearest water
2784 molecules. There are significant deviations from transition-state
2785 theory; the transmission coefficient is equal to 0.11. The water
2786 and K+ motions are found to be well described by a diffusive model;
2787 the motion of K+ appears to be controlled by the diffusion of water.
2788 The time-dependent friction functions of Na+ and K+ ions in the
2789 periodic beta-helix are calculated and analyzed by using a generalized
2790 Langevin equation approach. Both Na+ and K+ suffer many rapid collisions,
2791 and their dynamics is overdamped and noninertial. Thus, the selectivity
2792 sequence of ions in the beta-helix is not influenced strongly by
2793 their masses.},
2794 annote = {Fr756 Times Cited:97 Cited References Count:65},
2795 issn = {0022-3654},
2796 uri = {<Go to ISI>://A1991FR75600049},
2797 }
2798
2799 @ARTICLE{Roy2005,
2800 author = {A. Roy and N. V. Madhusudana},
2801 title = {A frustrated packing model for the B-6-B-1-SmAP(A) sequence of phases
2802 in banana shaped molecules},
2803 journal = {European Physical Journal E},
2804 year = {2005},
2805 volume = {18},
2806 pages = {253-258},
2807 number = {3},
2808 month = {Nov},
2809 abstract = {A vast majority of compounds with bent core or banana shaped molecules
2810 exhibit the phase sequence B-6-B-1-B-2 as the chain length is increased
2811 in a homologous series. The B-6 phase has an intercalated fluid
2812 lamellar structure with a layer spacing of half the molecular length.
2813 The B-1 phase has a two dimensionally periodic rectangular columnar
2814 structure. The B-2 phase has a monolayer fluid lamellar structure
2815 with molecules tilted with respect to the layer normal. Neglecting
2816 the tilt order of the molecules in the B-2 phase, we have developed
2817 a frustrated packing model to describe this phase sequence qualitatively.
2818 The model has some analogy with that of the frustrated smectics
2819 exhibited by highly polar rod like molecules.},
2820 annote = {985FW Times Cited:0 Cited References Count:30},
2821 issn = {1292-8941},
2822 uri = {<Go to ISI>://000233363300002},
2823 }
2824
2825 @ARTICLE{Ryckaert1977,
2826 author = {J. P. Ryckaert and G. Ciccotti and H. J. C. Berendsen},
2827 title = {Numerical-Integration of Cartesian Equations of Motion of a System
2828 with Constraints - Molecular-Dynamics of N-Alkanes},
2829 journal = {Journal of Computational Physics},
2830 year = {1977},
2831 volume = {23},
2832 pages = {327-341},
2833 number = {3},
2834 annote = {Cz253 Times Cited:3680 Cited References Count:7},
2835 issn = {0021-9991},
2836 uri = {<Go to ISI>://A1977CZ25300007},
2837 }
2838
2839 @ARTICLE{Sagui1999,
2840 author = {C. Sagui and T. A. Darden},
2841 title = {Molecular dynamics simulations of biomolecules: Long-range electrostatic
2842 effects},
2843 journal = {Annual Review of Biophysics and Biomolecular Structure},
2844 year = {1999},
2845 volume = {28},
2846 pages = {155-179},
2847 abstract = {Current computer simulations of biomolecules typically make use of
2848 classical molecular dynamics methods, as a very large number (tens
2849 to hundreds of thousands) of atoms are involved over timescales
2850 of many nanoseconds. The methodology for treating short-range bonded
2851 and van der Waals interactions has matured. However, long-range
2852 electrostatic interactions still represent a bottleneck in simulations.
2853 In this article, we introduce the basic issues for an accurate representation
2854 of the relevant electrostatic interactions. In spite of the huge
2855 computational time demanded by most biomolecular systems, it is
2856 no longer necessary to resort to uncontrolled approximations such
2857 as the use of cutoffs. In particular, we discuss the Ewald summation
2858 methods, the fast particle mesh methods, and the fast multipole
2859 methods. We also review recent efforts to understand the role of
2860 boundary conditions in systems with long-range interactions, and
2861 conclude with a short perspective on future trends.},
2862 annote = {213KJ Times Cited:126 Cited References Count:73},
2863 issn = {1056-8700},
2864 uri = {<Go to ISI>://000081271400008},
2865 }
2866
2867 @ARTICLE{Sandu1999,
2868 author = {A. Sandu and T. Schlick},
2869 title = {Masking resonance artifacts in force-splitting methods for biomolecular
2870 simulations by extrapolative Langevin dynamics},
2871 journal = {Journal of Computational Physics},
2872 year = {1999},
2873 volume = {151},
2874 pages = {74-113},
2875 number = {1},
2876 month = {May 1},
2877 abstract = {Numerical resonance artifacts have become recognized recently as a
2878 limiting factor to increasing the timestep in multiple-timestep
2879 (MTS) biomolecular dynamics simulations. At certain timesteps correlated
2880 to internal motions (e.g., 5 fs, around half the period of the fastest
2881 bond stretch, T-min), visible inaccuracies or instabilities can
2882 occur. Impulse-MTS schemes are vulnerable to these resonance errors
2883 since large energy pulses are introduced to the governing dynamics
2884 equations when the slow forces are evaluated. We recently showed
2885 that such resonance artifacts can be masked significantly by applying
2886 extrapolative splitting to stochastic dynamics. Theoretical and
2887 numerical analyses of force-splitting integrators based on the Verlet
2888 discretization are reported here for linear models to explain these
2889 observations and to suggest how to construct effective integrators
2890 for biomolecular dynamics that balance stability with accuracy.
2891 Analyses for Newtonian dynamics demonstrate the severe resonance
2892 patterns of the Impulse splitting, with this severity worsening
2893 with the outer timestep. Delta t: Constant Extrapolation is generally
2894 unstable, but the disturbances do not grow with Delta t. Thus. the
2895 stochastic extrapolative combination can counteract generic instabilities
2896 and largely alleviate resonances with a sufficiently strong Langevin
2897 heat-bath coupling (gamma), estimates for which are derived here
2898 based on the fastest and slowest motion periods. These resonance
2899 results generally hold for nonlinear test systems: a water tetramer
2900 and solvated protein. Proposed related approaches such as Extrapolation/Correction
2901 and Midpoint Extrapolation work better than Constant Extrapolation
2902 only for timesteps less than T-min/2. An effective extrapolative
2903 stochastic approach for biomolecules that balances long-timestep
2904 stability with good accuracy for the fast subsystem is then applied
2905 to a biomolecule using a three-class partitioning: the medium forces
2906 are treated by Midpoint Extrapolation via position Verlet, and the
2907 slow forces are incorporated by Constant Extrapolation. The resulting
2908 algorithm (LN) performs well on a solvated protein system in terms
2909 of thermodynamic properties and yields an order of magnitude speedup
2910 with respect to single-timestep Langevin trajectories. Computed
2911 spectral density functions also show how the Newtonian modes can
2912 be approximated by using a small gamma in the range Of 5-20 ps(-1).
2913 (C) 1999 Academic Press.},
2914 annote = {194FM Times Cited:14 Cited References Count:32},
2915 issn = {0021-9991},
2916 uri = {<Go to ISI>://000080181500004},
2917 }
2918
2919 @ARTICLE{Sasaki2004,
2920 author = {Y. Sasaki and R. Shukla and B. D. Smith},
2921 title = {Facilitated phosphatidylserine flip-flop across vesicle and cell
2922 membranes using urea-derived synthetic translocases},
2923 journal = {Organic \& Biomolecular Chemistry},
2924 year = {2004},
2925 volume = {2},
2926 pages = {214-219},
2927 number = {2},
2928 abstract = {Tris(2-aminoethyl) amine derivatives with appended urea and sulfonamide
2929 groups are shown to facilitate the translocation of fluorescent
2930 phospholipid probes and endogenous phosphatidylserine across vesicle
2931 and erythrocyte cell membranes. The synthetic translocases appear
2932 to operate by binding to the phospholipid head groups and forming
2933 lipophilic supramolecular complexes which diffuse through the non-polar
2934 interior of the bilayer membrane.},
2935 annote = {760PX Times Cited:8 Cited References Count:25},
2936 issn = {1477-0520},
2937 uri = {<Go to ISI>://000187843800012},
2938 }
2939
2940 @ARTICLE{Satoh1996,
2941 author = {K. Satoh and S. Mita and S. Kondo},
2942 title = {Monte Carlo simulations using the dipolar Gay-Berne model: Effect
2943 of terminal dipole moment on mesophase formation},
2944 journal = {Chemical Physics Letters},
2945 year = {1996},
2946 volume = {255},
2947 pages = {99-104},
2948 number = {1-3},
2949 month = {Jun 7},
2950 abstract = {The effects of dipole-dipole interaction on mesophase formation are
2951 investigated with a Monte Carlo simulation using the dipolar Gay-Berne
2952 potential. It is shown that the dipole moment at the end of a molecule
2953 causes a shift in the nematic-isotropic transition toward higher
2954 temperature and a spread of the temperature range of the nematic
2955 phase and that layer structures with various interdigitations are
2956 formed in the smectic phase.},
2957 annote = {Uq975 Times Cited:32 Cited References Count:33},
2958 issn = {0009-2614},
2959 uri = {<Go to ISI>://A1996UQ97500017},
2960 }
2961
2962 @ARTICLE{Schaps1999,
2963 author = {G. L. Schaps},
2964 title = {Compiler construction with ANTLR and Java - Tools for building tools},
2965 journal = {Dr Dobbs Journal},
2966 year = {1999},
2967 volume = {24},
2968 pages = {84-+},
2969 number = {3},
2970 month = {Mar},
2971 annote = {163EC Times Cited:0 Cited References Count:0},
2972 issn = {1044-789X},
2973 uri = {<Go to ISI>://000078389200023},
2974 }
2975
2976 @ARTICLE{Shen2002,
2977 author = {M. Y. Shen and K. F. Freed},
2978 title = {Long time dynamics of met-enkephalin: Comparison of explicit and
2979 implicit solvent models},
2980 journal = {Biophysical Journal},
2981 year = {2002},
2982 volume = {82},
2983 pages = {1791-1808},
2984 number = {4},
2985 month = {Apr},
2986 abstract = {Met-enkephalin is one of the smallest opiate peptides. Yet, its dynamical
2987 structure and receptor docking mechanism are still not well understood.
2988 The conformational dynamics of this neuron peptide in liquid water
2989 are studied here by using all-atom molecular dynamics (MID) and
2990 implicit water Langevin dynamics (LD) simulations with AMBER potential
2991 functions and the three-site transferable intermolecular potential
2992 (TIP3P) model for water. To achieve the same simulation length in
2993 physical time, the full MID simulations require 200 times as much
2994 CPU time as the implicit water LID simulations. The solvent hydrophobicity
2995 and dielectric behavior are treated in the implicit solvent LD simulations
2996 by using a macroscopic solvation potential, a single dielectric
2997 constant, and atomic friction coefficients computed using the accessible
2998 surface area method with the TIP3P model water viscosity as determined
2999 here from MID simulations for pure TIP3P water. Both the local and
3000 the global dynamics obtained from the implicit solvent LD simulations
3001 agree very well with those from the explicit solvent MD simulations.
3002 The simulations provide insights into the conformational restrictions
3003 that are associated with the bioactivity of the opiate peptide dermorphin
3004 for the delta-receptor.},
3005 annote = {540MH Times Cited:36 Cited References Count:45},
3006 issn = {0006-3495},
3007 uri = {<Go to ISI>://000174932400010},
3008 }
3009
3010 @ARTICLE{Shillcock2005,
3011 author = {J. C. Shillcock and R. Lipowsky},
3012 title = {Tension-induced fusion of bilayer membranes and vesicles},
3013 journal = {Nature Materials},
3014 year = {2005},
3015 volume = {4},
3016 pages = {225-228},
3017 number = {3},
3018 month = {Mar},
3019 annote = {901QJ Times Cited:9 Cited References Count:23},
3020 issn = {1476-1122},
3021 uri = {<Go to ISI>://000227296700019},
3022 }
3023
3024 @ARTICLE{Shimada1993,
3025 author = {J. Shimada and H. Kaneko and T. Takada},
3026 title = {Efficient Calculations of Coulombic Interactions in Biomolecular
3027 Simulations with Periodic Boundary-Conditions},
3028 journal = {Journal of Computational Chemistry},
3029 year = {1993},
3030 volume = {14},
3031 pages = {867-878},
3032 number = {7},
3033 month = {Jul},
3034 abstract = {To make improved treatments of electrostatic interactions in biomacromolecular
3035 simulations, two possibilities are considered. The first is the
3036 famous particle-particle and particle-mesh (PPPM) method developed
3037 by Hockney and Eastwood, and the second is a new one developed here
3038 in their spirit but by the use of the multipole expansion technique
3039 suggested by Ladd. It is then numerically found that the new PPPM
3040 method gives more accurate results for a two-particle system at
3041 small separation of particles. Preliminary numerical examination
3042 of the various computational methods for a single configuration
3043 of a model BPTI-water system containing about 24,000 particles indicates
3044 that both of the PPPM methods give far more accurate values with
3045 reasonable computational cost than do the conventional truncation
3046 methods. It is concluded the two PPPM methods are nearly comparable
3047 in overall performance for the many-particle systems, although the
3048 first method has the drawback that the accuracy in the total electrostatic
3049 energy is not high for configurations of charged particles randomly
3050 generated.},
3051 annote = {Lh164 Times Cited:27 Cited References Count:47},
3052 issn = {0192-8651},
3053 uri = {<Go to ISI>://A1993LH16400011},
3054 }
3055
3056 @ARTICLE{Skeel2002,
3057 author = {R. D. Skeel and J. A. Izaguirre},
3058 title = {An impulse integrator for Langevin dynamics},
3059 journal = {Molecular Physics},
3060 year = {2002},
3061 volume = {100},
3062 pages = {3885-3891},
3063 number = {24},
3064 month = {Dec 20},
3065 abstract = {The best simple method for Newtonian molecular dynamics is indisputably
3066 the leapfrog Stormer-Verlet method. The appropriate generalization
3067 to simple Langevin dynamics is unclear. An analysis is presented
3068 comparing an 'impulse method' (kick; fluctuate; kick), the 1982
3069 method of van Gunsteren and Berendsen, and the Brunger-Brooks-Karplus
3070 (BBK) method. It is shown how the impulse method and the van Gunsteren-Berendsen
3071 methods can be implemented as efficiently as the BBK method. Other
3072 considerations suggest that the impulse method is the best basic
3073 method for simple Langevin dynamics, with the van Gunsteren-Berendsen
3074 method a close contender.},
3075 annote = {633RX Times Cited:8 Cited References Count:22},
3076 issn = {0026-8976},
3077 uri = {<Go to ISI>://000180297200014},
3078 }
3079
3080 @ARTICLE{Skeel1997,
3081 author = {R. D. Skeel and G. H. Zhang and T. Schlick},
3082 title = {A family of symplectic integrators: Stability, accuracy, and molecular
3083 dynamics applications},
3084 journal = {Siam Journal on Scientific Computing},
3085 year = {1997},
3086 volume = {18},
3087 pages = {203-222},
3088 number = {1},
3089 month = {Jan},
3090 abstract = {The following integration methods for special second-order ordinary
3091 differential equations are studied: leapfrog, implicit midpoint,
3092 trapezoid, Stormer-Verlet, and Cowell-Numerov. We show that all
3093 are members, or equivalent to members, of a one-parameter family
3094 of schemes. Some methods have more than one common form, and we
3095 discuss a systematic enumeration of these forms. We also present
3096 a stability and accuracy analysis based on the idea of ''modified
3097 equations'' and a proof of symplecticness. It follows that Cowell-Numerov
3098 and ''LIM2'' (a method proposed by Zhang and Schlick) are symplectic.
3099 A different interpretation of the values used by these integrators
3100 leads to higher accuracy and better energy conservation. Hence,
3101 we suggest that the straightforward analysis of energy conservation
3102 is misleading.},
3103 annote = {We981 Times Cited:30 Cited References Count:35},
3104 issn = {1064-8275},
3105 uri = {<Go to ISI>://A1997WE98100012},
3106 }
3107
3108 @ARTICLE{Tao2005,
3109 author = {Y. G. Tao and W. K. {den Otter} and J. T. Padding and J. K. G. Dhont
3110 and W. J. Briels},
3111 title = {Brownian dynamics simulations of the self- and collective rotational
3112 diffusion coefficients of rigid long thin rods},
3113 journal = {Journal of Chemical Physics},
3114 year = {2005},
3115 volume = {122},
3116 pages = {-},
3117 number = {24},
3118 month = {Jun 22},
3119 abstract = {Recently a microscopic theory for the dynamics of suspensions of long
3120 thin rigid rods was presented, confirming and expanding the well-known
3121 theory by Doi and Edwards [The Theory of Polymer Dynamics (Clarendon,
3122 Oxford, 1986)] and Kuzuu [J. Phys. Soc. Jpn. 52, 3486 (1983)]. Here
3123 this theory is put to the test by comparing it against computer
3124 simulations. A Brownian dynamics simulation program was developed
3125 to follow the dynamics of the rods, with a length over a diameter
3126 ratio of 60, on the Smoluchowski time scale. The model accounts
3127 for excluded volume interactions between rods, but neglects hydrodynamic
3128 interactions. The self-rotational diffusion coefficients D-r(phi)
3129 of the rods were calculated by standard methods and by a new, more
3130 efficient method based on calculating average restoring torques.
3131 Collective decay of orientational order was calculated by means
3132 of equilibrium and nonequilibrium simulations. Our results show
3133 that, for the currently accessible volume fractions, the decay times
3134 in both cases are virtually identical. Moreover, the observed decay
3135 of diffusion coefficients with volume fraction is much quicker than
3136 predicted by the theory, which is attributed to an oversimplification
3137 of dynamic correlations in the theory. (c) 2005 American Institute
3138 of Physics.},
3139 annote = {943DN Times Cited:3 Cited References Count:26},
3140 issn = {0021-9606},
3141 uri = {<Go to ISI>://000230332400077},
3142 }
3143
3144 @BOOK{Tolman1979,
3145 title = {The Principles of Statistical Mechanics},
3146 publisher = {Dover Publications, Inc.},
3147 year = {1979},
3148 author = {R.~C. Tolman},
3149 address = {New York},
3150 chapter = {2},
3151 pages = {19-22},
3152 }
3153
3154 @ARTICLE{Tu1995,
3155 author = {K. Tu and D. J. Tobias and M. L. Klein},
3156 title = {Constant pressure and temperature molecular dynamics simulation of
3157 a fully hydrated liquid crystal phase dipalmitoylphosphatidylcholine
3158 bilayer},
3159 journal = {Biophysical Journal},
3160 year = {1995},
3161 volume = {69},
3162 pages = {2558-2562},
3163 number = {6},
3164 month = {Dec},
3165 abstract = {We report a constant pressure and temperature molecular dynamics simulation
3166 of a fully hydrated liquid crystal (L(alpha) phase bilayer of dipalmitoylphosphatidylcholine
3167 at 50 degrees C and 28 water molecules/lipid. We have shown that
3168 the bilayer is stable throughout the 1550-ps simulation and have
3169 demonstrated convergence of the system dimensions. Several important
3170 aspects of the bilayer structure have been investigated and compared
3171 favorably with experimental results. For example, the average positions
3172 of specific carbon atoms along the bilayer normal agree well with
3173 neutron diffraction data, and the electron density profile is in
3174 accord with x-ray diffraction results. The hydrocarbon chain deuterium
3175 order parameters agree reasonably well with NMR results for the
3176 middles of the chains, but the simulation predicts too much order
3177 at the chain ends. In spite of the deviations in the order parameters,
3178 the hydrocarbon chain packing density appears to be essentially
3179 correct, inasmuch as the area/lipid and bilayer thickness are in
3180 agreement with the most refined experimental estimates. The deuterium
3181 order parameters for the glycerol and choline groups, as well as
3182 the phosphorus chemical shift anisotropy, are in qualitative agreement
3183 with those extracted from NMR measurements.},
3184 annote = {Tv018 Times Cited:108 Cited References Count:34},
3185 issn = {0006-3495},
3186 uri = {<Go to ISI>://A1995TV01800037},
3187 }
3188
3189 @ARTICLE{Tuckerman1992,
3190 author = {M. Tuckerman and B. J. Berne and G. J. Martyna},
3191 title = {Reversible Multiple Time Scale Molecular-Dynamics},
3192 journal = {Journal of Chemical Physics},
3193 year = {1992},
3194 volume = {97},
3195 pages = {1990-2001},
3196 number = {3},
3197 month = {Aug 1},
3198 abstract = {The Trotter factorization of the Liouville propagator is used to generate
3199 new reversible molecular dynamics integrators. This strategy is
3200 applied to derive reversible reference system propagator algorithms
3201 (RESPA) that greatly accelerate simulations of systems with a separation
3202 of time scales or with long range forces. The new algorithms have
3203 all of the advantages of previous RESPA integrators but are reversible,
3204 and more stable than those methods. These methods are applied to
3205 a set of paradigmatic systems and are shown to be superior to earlier
3206 methods. It is shown how the new RESPA methods are related to predictor-corrector
3207 integrators. Finally, we show how these methods can be used to accelerate
3208 the integration of the equations of motion of systems with Nose
3209 thermostats.},
3210 annote = {Je891 Times Cited:680 Cited References Count:19},
3211 issn = {0021-9606},
3212 uri = {<Go to ISI>://A1992JE89100044},
3213 }
3214
3215 @BOOK{Varadarajan1974,
3216 title = {Lie groups, Lie algebras, and their representations},
3217 publisher = {Prentice-Hall},
3218 year = {1974},
3219 author = {V.S. Varadarajan},
3220 address = {New York},
3221 }
3222
3223 @ARTICLE{Vincent1995,
3224 author = {J. J. Vincent and K. M. Merz},
3225 title = {A Highly Portable Parallel Implementation of Amber4 Using the Message-Passing
3226 Interface Standard},
3227 journal = {Journal of Computational Chemistry},
3228 year = {1995},
3229 volume = {16},
3230 pages = {1420-1427},
3231 number = {11},
3232 month = {Nov},
3233 abstract = {We have implemented a portable parallel version of the macromolecular
3234 modeling package AMBER4. The message passing paradigm was used.
3235 All message passing constructs are compliant with the Message Passing
3236 Interface (MPI) standard. The molecular dynamics/minimization module
3237 MINMD and the free-energy perturbation module Gibbs have been implemented
3238 in parallel on a number of machines, including a Gray T3D, an IBM
3239 SP1/SP2, and a collection of networked workstations. In addition,
3240 the code has been tested with an MPI implementation from Argonne
3241 National Laboratories/Mississippi State University which runs on
3242 many parallel machines. The goal of this work is to decrease the
3243 amount of time required to perform molecular dynamics simulations.
3244 Performance results for a Lipid bilayer molecular dynamics simulation
3245 on a Gray T3D, an IBM SP1/SPZ and a Gray C90 are compared. (C) 1995
3246 by John Wiley & Sons, Inc.},
3247 annote = {Ta403 Times Cited:16 Cited References Count:23},
3248 issn = {0192-8651},
3249 uri = {<Go to ISI>://A1995TA40300009},
3250 }
3251
3252 @ARTICLE{Wegener1979,
3253 author = {W.~A. Wegener, V.~J. Koester and R.~M. Dowben},
3254 title = {A general ellipsoid can not always serve as a modle for the rotational
3255 diffusion properties of arbitrary shaped rigid molecules},
3256 journal = {Proc. Natl. Acad. Sci.},
3257 year = {1979},
3258 volume = {76},
3259 pages = {6356-6360},
3260 number = {12},
3261 }
3262
3263 @ARTICLE{Wilson2006,
3264 author = {G.~V. Wilson },
3265 title = {Where's the Real Bottleneck in Scientific Computing?},
3266 journal = {American Scientist},
3267 year = {2006},
3268 volume = {94},
3269 }
3270
3271 @ARTICLE{Withers2003,
3272 author = {I. M. Withers},
3273 title = {Effects of longitudinal quadrupoles on the phase behavior of a Gay-Berne
3274 fluid},
3275 journal = {Journal of Chemical Physics},
3276 year = {2003},
3277 volume = {119},
3278 pages = {10209-10223},
3279 number = {19},
3280 month = {Nov 15},
3281 abstract = {The effects of longitudinal quadrupole moments on the formation of
3282 liquid crystalline phases are studied by means of constant NPT Monte
3283 Carlo simulation methods. The popular Gay-Berne model mesogen is
3284 used as the reference fluid, which displays the phase sequences
3285 isotropic-smectic A-smectic B and isotropic-smectic B at high (T*=2.0)
3286 and low (T*=1.5) temperatures, respectively. With increasing quadrupole
3287 magnitude the smectic phases are observed to be stabilized with
3288 respect to the isotropic liquid, while the smectic B is destabilized
3289 with respect to the smectic A. At the lower temperature, a sufficiently
3290 large quadrupole magnitude results in the injection of the smectic
3291 A phase into the phase sequence and the replacement of the smectic
3292 B phase by the tilted smectic J phase. The nematic phase is also
3293 injected into the phase sequence at both temperatures considered,
3294 and ultimately for sufficiently large quadrupole magnitudes no coherent
3295 layered structures were observed. The stabilization of the smectic
3296 A phase supports the commonly held belief that, while the inclusion
3297 of polar groups is not a prerequisite for the formation of the smectic
3298 A phase, quadrupolar interactions help to increase the temperature
3299 and pressure range for which the smectic A phase is observed. The
3300 quality of the layered structure is worsened with increasing quadrupole
3301 magnitude. This behavior, along with the injection of the nematic
3302 phase into the phase sequence, indicate that the general tendency
3303 of the quadrupolar interactions is to destabilize the layered structure.
3304 A pressure dependence upon the smectic layer spacing is observed.
3305 This behavior is in much closer agreement with experimental findings
3306 than has been observed previously for nonpolar Gay-Berne and hard
3307 spherocylinder models. (C) 2003 American Institute of Physics.},
3308 annote = {738EF Times Cited:3 Cited References Count:43},
3309 issn = {0021-9606},
3310 uri = {<Go to ISI>://000186273200027},
3311 }
3312
3313 @ARTICLE{Wolf1999,
3314 author = {D. Wolf and P. Keblinski and S. R. Phillpot and J. Eggebrecht},
3315 title = {Exact method for the simulation of Coulombic systems by spherically
3316 truncated, pairwise r(-1) summation},
3317 journal = {Journal of Chemical Physics},
3318 year = {1999},
3319 volume = {110},
3320 pages = {8254-8282},
3321 number = {17},
3322 month = {May 1},
3323 abstract = {Based on a recent result showing that the net Coulomb potential in
3324 condensed ionic systems is rather short ranged, an exact and physically
3325 transparent method permitting the evaluation of the Coulomb potential
3326 by direct summation over the r(-1) Coulomb pair potential is presented.
3327 The key observation is that the problems encountered in determining
3328 the Coulomb energy by pairwise, spherically truncated r(-1) summation
3329 are a direct consequence of the fact that the system summed over
3330 is practically never neutral. A simple method is developed that
3331 achieves charge neutralization wherever the r(-1) pair potential
3332 is truncated. This enables the extraction of the Coulomb energy,
3333 forces, and stresses from a spherically truncated, usually charged
3334 environment in a manner that is independent of the grouping of the
3335 pair terms. The close connection of our approach with the Ewald
3336 method is demonstrated and exploited, providing an efficient method
3337 for the simulation of even highly disordered ionic systems by direct,
3338 pairwise r(-1) summation with spherical truncation at rather short
3339 range, i.e., a method which fully exploits the short-ranged nature
3340 of the interactions in ionic systems. The method is validated by
3341 simulations of crystals, liquids, and interfacial systems, such
3342 as free surfaces and grain boundaries. (C) 1999 American Institute
3343 of Physics. [S0021-9606(99)51517-1].},
3344 annote = {189PD Times Cited:70 Cited References Count:34},
3345 issn = {0021-9606},
3346 uri = {<Go to ISI>://000079913000008},
3347 }
3348
3349 @ARTICLE{Yoshida1990,
3350 author = {H. Yoshida},
3351 title = {Construction of Higher-Order Symplectic Integrators},
3352 journal = {Physics Letters A},
3353 year = {1990},
3354 volume = {150},
3355 pages = {262-268},
3356 number = {5-7},
3357 month = {Nov 12},
3358 annote = {Ej798 Times Cited:492 Cited References Count:9},
3359 issn = {0375-9601},
3360 uri = {<Go to ISI>://A1990EJ79800009},
3361 }
3362