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1 %% This BibTeX bibliography file was created using BibDesk.
2 %% http://bibdesk.sourceforge.net/
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5 %% Created for Dan Gezelter at 2008-01-08 17:00:16 -0500
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8 %% Saved with string encoding Western (ASCII)
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10
11
12 @article{hess:209,
13 Author = {Berk Hess},
14 Date-Added = {2008-01-08 16:41:06 -0500},
15 Date-Modified = {2008-01-08 16:41:06 -0500},
16 Doi = {10.1063/1.1421362},
17 Journal = {The Journal of Chemical Physics},
18 Keywords = {viscosity; molecular dynamics method; liquid theory; shear flow},
19 Number = {1},
20 Pages = {209-217},
21 Publisher = {AIP},
22 Title = {Determining the shear viscosity of model liquids from molecular dynamics simulations},
23 Url = {http://link.aip.org/link/?JCP/116/209/1},
24 Volume = {116},
25 Year = {2002}}
26
27 @article{Garcia-de-la-Torre:1997qy,
28 Abstract = {Single-valued hydrodynamic coefficients of a rigid particle can be calculated from existing theories and computer programs for either bead models or ellipsoids. Starting from these coefficients, we review the procedures for the calculation of complex solution properties depending on rotational diffusion, such as the decays of electric birefringence and fluorescence anisotropy. We also describe the calculation of the scattering from factor of bead models. The hydrodynamic coefficients and solution properties can be combined to give universal, shape-dependent functions, which were initially intended for ellipsoidal particles, and are extended here for the most general case. We have implemented all three developments in a new computer program. SOLPRO, for calculation of SOLution PROperties, which can be linked to existing software for bead models or ellipsoids.},
29 Address = {Departamento de Quimica Fisica Universidad de Murcia, Spain. jgt{\char64}fcu,um.es},
30 Au = {Garcia de la Torre, J and Carrasco, B and Harding, SE},
31 Author = {Garcia de la Torre, J and Carrasco, B and Harding, S E},
32 Da = {19970709},
33 Date-Added = {2008-01-08 15:45:31 -0500},
34 Date-Modified = {2008-01-08 15:46:57 -0500},
35 Dcom = {19970709},
36 Edat = {1997/01/01},
37 Issn = {0175-7571 (Print)},
38 Jid = {8409413},
39 Journal = {Eur Biophys J},
40 Jt = {European biophysics journal : EBJ},
41 Keywords = {Birefringence; Fluorescence Polarization; Humans; Immunoglobulin G/chemistry; Models, Structural; *Protein Conformation; Proteins/*chemistry; Scattering, Radiation; *Software; Ultracentrifugation/methods},
42 Language = {eng},
43 Lr = {20061115},
44 Mhda = {1997/01/01 00:01},
45 Number = {5-6},
46 Own = {NLM},
47 Pages = {361--372},
48 Pl = {GERMANY},
49 Pmid = {9213556},
50 Pst = {ppublish},
51 Pt = {Journal Article; Research Support, Non-U.S. Gov't},
52 Pubm = {Print},
53 Rn = {0 (Immunoglobulin G); 0 (Proteins)},
54 Sb = {IM},
55 So = {Eur Biophys J. 1997;25(5-6):361-72. },
56 Stat = {MEDLINE},
57 Title = {SOLPRO: theory and computer program for the prediction of SOLution PROperties of rigid macromolecules and bioparticles.},
58 Volume = {25},
59 Year = {1997}}
60
61 @article{Ravichandran:1999fk,
62 Abstract = {Detailed molecular dynamics simulations of the rotational and the translational motions of Gay-Berne ellipsoids in a sea of Lennard-Jones spheres have been carried out. It is found that while the translational motion of an ellipsoid is isotropic at low density, it becomes increasingly anisotropic with density until the ratio of the parallel to the perpendicular diffusion coefficients becomes nearly equal to the value of the aspect ratio at high density. The latter is in agreement with the prediction of Navier-Stokes hydrodynamics with slip boundary condition. The product of the translational diffusion coefficient and the rotational correlation time also attains a hydrodynamic-like density independent behavior only at high density. The reorientational correlation function becomes nonexponential at high density and low temperature where it also develops a slow decay. The perpendicular component of the velocity time correlation function exhibits a clear double minimum, only at high density, which becomes more pronounced as the aspect ratio is increased. (C) 1999 American Institute of Physics. [S0021-9606(99)51440-2].},
63 Author = {Ravichandran, S and Bagchi, B},
64 Date-Added = {2008-01-08 15:24:48 -0500},
65 Date-Modified = {2008-01-08 15:25:41 -0500},
66 Journal = {Journal of Chemical Physics},
67 Pages = {7505-7511},
68 Title = {Anisotropic diffusion of nonspherical molecules in dense liquids: A molecular dynamics simulation of isolated ellipsoids in the sea of spheres},
69 Volume = {111},
70 Year = {1999}}
71
72 @article{TANG:1993lr,
73 Abstract = {Translational friction coefficients of hard prolate ellipsoids (having aspect ratios of 1-10) have been calculated by solving the linearized Navier-Stokes equations of hydrodynamics, using the method of Faxen's theorem. When the stick boundary condition was used, the present results reproduce the famous work of Lamb. The new information derived from this study arises from the analysis of the friction under the influence of the slip hydrodynamic boundary condition. It was found that the slip friction perpendicular to the long axis of the prolate ellipsoid increases monotonically with aspect ratio, whereas the parallel component of the friction decreases monotonically to an apparent limiting value. The ratio f(perpendicular to)/f(parallel to) of friction coefficients perpendicular and parallel to the long axis of the particle, calculated using slip hydrodynamics, scales roughly as the aspect ratio of the ellipsoid, in accord with the findings from an Enskog (uncorrelated binary collision) kinetic theory of hard ellipsoids and from the estimate derived from molecular dynamics. In contrast, f(perpendicular to)/f(parallel to) derived by means of stick hydrodynamics shows a weak dependence on the aspect ratio and disagrees with kinetic theory and molecular dynamics findings.},
74 Author = {TANG, SA and EVANS, GT},
75 Date-Added = {2008-01-08 15:23:42 -0500},
76 Date-Modified = {2008-01-08 15:24:09 -0500},
77 Journal = {Molecular Physics},
78 Pages = {1443-1457},
79 Title = {A CRITIQUE OF SLIP AND STICK HYDRODYNAMICS FOR ELLIPSOIDAL BODIES},
80 Volume = {80},
81 Year = {1993}}
82
83 @article{Schmidt:2003kx,
84 Abstract = {Using molecular dynamics computer simulation, we have calculated the velocity autocorrelation function and diffusion constant for a spherical solute in a dense fluid of spherical solvent particles. The size and mass of the solute particle are related in such a way that we can naturally approach the Brownian limit (when the solute becomes much larger and more massive than the solvent particles). We find that as long as the solute radius is interpreted as an effective hydrodynamic radius, the Stokes-Einstein law with slip boundary conditions is satisfied as the Brownian limit is approached (specifically, when the solute is roughly 100 times more massive than the solvent particles). In contrast, the Stokes-Einstein law is not satisfied for a tagged particle of the neat solvent. We also find that in the Brownian limit the amplitude of the long-time tail of the solute's velocity autocorrelation function is in good agreement with theoretical hydrodynamic predictions. When the solvent density is substantially lower than the triple density, the Stokes-Einstein law is no longer satisfied, and the amplitude of the long-time tail is not in good agreement with theoretical predictions, signaling the breakdown of hydrodynamics. (C) 2003 American Institute of Physics.},
85 Author = {Schmidt, JR and Skinner, JL},
86 Date-Added = {2008-01-08 15:12:53 -0500},
87 Date-Modified = {2008-01-08 15:13:21 -0500},
88 Doi = {DOI 10.1063/1.1610442},
89 Journal = {Journal of Chemical Physics},
90 Pages = {8062-8068},
91 Title = {Hydrodynamic boundary conditions, the Stokes-Einstein law, and long-time tails in the Brownian limit},
92 Volume = {119},
93 Year = {2003}}
94
95 @article{Schmidt:2004fj,
96 Abstract = {Using molecular dynamics computer simulation, we have calculated the velocity autocorrelation function and diffusion constant for a variety of solutes in a dense fluid of spherical solvent particles. We explore the effects of surface roughness of the solute on the resulting hydrodynamic boundary condition as we naturally approach the Brownian limit (when the solute becomes much larger and more massive than the solvent particles). We find that when the solute and solvent interact through a purely repulsive isotropic potential, in the Brownian limit the Stokes-Einstein law is satisfied with slip boundary conditions. However, when surface roughness is introduced through an anisotropic solute-solvent interaction potential, we find that the Stokes-Einstein law is satisfied with stick boundary conditions. In addition, when the attractive strength of a short-range isotropic solute-solvent potential is increased, the solute becomes dressed with solvent particles, making it effectively rough, and so stick boundary conditions are again recovered.},
97 Author = {Schmidt, JR and Skinner, JL},
98 Date-Added = {2008-01-08 15:12:53 -0500},
99 Date-Modified = {2008-01-08 15:13:20 -0500},
100 Doi = {DOI 10.1021/jp037185r},
101 Journal = {Journal of Physical Chemistry B},
102 Pages = {6767-6771},
103 Title = {Brownian motion of a rough sphere and the Stokes-Einstein Law},
104 Volume = {108},
105 Year = {2004}}
106
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109 Date-Added = {2008-01-08 14:58:56 -0500},
110 Date-Modified = {2008-01-08 14:58:56 -0500},
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119 Date-Added = {2008-01-08 14:58:56 -0500},
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492 @article{Roberts95,
493 Author = {J.~E. Roberts and J. Schnitker},
494 Date-Added = {2008-01-08 14:58:56 -0500},
495 Date-Modified = {2008-01-08 14:58:57 -0500},
496 Journal = {J. Phys. Chem.},
497 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Roberts_BoundryConditionsIonWater_95.pdf},
498 Pages = {1322-1331},
499 Title = {Boundary Conditions in Sumulations of Aqueous Ionic Solutions: A Systematic Study},
500 Volume = {99},
501 Year = {1995}}
502
503 @article{Ayton02,
504 Author = {G. Ayton and G.~A. Voth},
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513 @article{ChoiYim97,
514 Author = {H. Choi-Yim and W.~L. Johnson},
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524 Author = {E. Rabani and J.~D. Gezelter and B.~J. Berne},
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554 Author = {E.~P. Wigner},
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574 @article{NorbertKucerka06012006,
575 Abstract = {X-ray data are presented for the benchmark dipalmitoylphosphatidylcholine lipid bilayer in the most biologically relevant state in which the bilayers are fully hydrated and in the fluid (liquid-crystalline) phase. Form factors F(qz) are obtained from a combination of two sample preparations, oriented stacks of bilayers for qz extending to 0.85 A-1 and unilamellar vesicles for smaller qz. Modeling obtains the electron density profile and values for the area per molecule, for the locations of the component groups, and for the different types of thicknesses of the bilayer, such as the hydrocarbon thickness and the steric thickness.
576 },
577 Author = {Kucerka, Norbert and Tristram-Nagle, Stephanie and Nagle, John F.},
578 Date-Added = {2008-01-08 14:58:56 -0500},
579 Date-Modified = {2008-01-08 14:58:57 -0500},
580 Doi = {10.1529/biophysj.106.086017},
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583 Number = {11},
584 Pages = {L83-85},
585 Title = {{Closer Look at Structure of Fully Hydrated Fluid Phase DPPC Bilayers}},
586 Url = {http://www.biophysj.org/cgi/content/abstract/90/11/L83},
587 Volume = {90},
588 Year = {2006}}
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901 Date-Modified = {2008-01-08 14:58:58 -0500},
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903 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/McCammon_ArtificialEwaldPeriodicity_99.pdf},
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910 Author = {E. Spohr},
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1049 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Tobias_ElectrostaticsCalculations_01.pdf},
1050 Pages = {253-261},
1051 Title = {Electrostatics calculations: recent methodological advances and applications to membranes},
1052 Volume = {11},
1053 Year = {2001}}
1054
1055 @article{Arnold02,
1056 Author = {A. Arnold and J. {de Joannis} and C. Holm},
1057 Date-Added = {2008-01-08 14:58:56 -0500},
1058 Date-Modified = {2008-01-08 14:58:58 -0500},
1059 Doi = {10.1063/1.149195},
1060 Journal = {J. Chem. Phys.},
1061 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Arnold_SlabElectrostatics_02.pdf},
1062 Number = {6},
1063 Pages = {2496-2502},
1064 Title = {Electrostatics in periodic slab geometries. I},
1065 Volume = {117},
1066 Year = {2002}}
1067
1068 @article{deJoannis02,
1069 Author = {J. {de Joannis} and A. Arnold and C. Holm},
1070 Date-Added = {2008-01-08 14:58:56 -0500},
1071 Date-Modified = {2008-01-08 14:58:58 -0500},
1072 Doi = {10.1063/1.149195},
1073 Journal = {J. Chem. Phys.},
1074 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Joannis_SlabElectrostatics_02.pdf},
1075 Number = {6},
1076 Pages = {2503-2512},
1077 Title = {Electrostatics in periodic slab geometries. II},
1078 Volume = {117},
1079 Year = {2002}}
1080
1081 @article{Barenco95,
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1089 Year = 1995}
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1093 Date-Added = {2008-01-08 14:58:56 -0500},
1094 Date-Modified = {2008-01-08 14:58:58 -0500},
1095 Journal = pre,
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1101 @article{Daw84,
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1103 Date-Added = {2008-01-08 14:58:56 -0500},
1104 Date-Modified = {2008-01-08 14:58:58 -0500},
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1114 Date-Added = {2008-01-08 14:58:56 -0500},
1115 Date-Modified = {2008-01-08 14:58:58 -0500},
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1121 Year = 1986}
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1123 @article{Zahn02,
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1125 Date-Added = {2008-01-08 14:58:56 -0500},
1126 Date-Modified = {2008-01-08 14:58:58 -0500},
1127 Journal = {J. Phys. Chem. B},
1128 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/WolfApplications/Zahn_enhancedWolfH2O_02.pdf},
1129 Number = {41},
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1132 Volume = {106},
1133 Year = {2002}}
1134
1135 @article{Metropolis53,
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1138 Date-Modified = {2008-01-08 14:58:58 -0500},
1139 Journal = {J. Chem. Phys.},
1140 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Metropolis_MCCalculations_53.pdf},
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1144 Year = 1953}
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1153 Volume = {54},
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1156 @article{Steane96,
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1158 Date-Added = {2008-01-08 14:58:56 -0500},
1159 Date-Modified = {2008-01-08 14:58:58 -0500},
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1164 Year = 1996}
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1166 @article{Todorova2004,
1167 Author = {L. Todorova and T. Angelov and Y. Marinov and A.~G. Petrov},
1168 Date-Added = {2008-01-08 14:58:56 -0500},
1169 Date-Modified = {2008-01-08 14:58:59 -0500},
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1176 @article{Hunenberger99a,
1177 Author = {P.~H. H\"{u}nenberger and J.~A. McCammon},
1178 Date-Added = {2008-01-08 14:58:56 -0500},
1179 Date-Modified = {2008-01-08 14:58:59 -0500},
1180 Journal = {J. Chem. Phys.},
1181 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Hunenberger_IonSolutionEwaldArtifacts_99.pdf},
1182 Number = {4},
1183 Pages = {1856-1872},
1184 Title = {Ewald artifacts in computer simulations of ionic solvation and ion -- ion interaction: A continuum electrostatics study},
1185 Volume = {110},
1186 Year = {1999}}
1187
1188 @article{Rhee89,
1189 Author = {Y.-J. Rhee and J.~W. Halley and J. Hautman and A. Rahman},
1190 Date-Added = {2008-01-08 14:58:56 -0500},
1191 Date-Modified = {2008-01-08 14:58:59 -0500},
1192 Journal = {Phys. Rev. B},
1193 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Rhee_finiteDimensionEwald_88.pdf},
1194 Number = {1},
1195 Pages = {36-42},
1196 Title = {Ewald methods in molecular dynamics for systems of finite extent in one of three dimensions},
1197 Volume = {40},
1198 Year = {1989}}
1199
1200 @article{Yeh99,
1201 Author = {I.-C. Yeh and M.~L. Berkowitz},
1202 Date-Added = {2008-01-08 14:58:56 -0500},
1203 Date-Modified = {2008-01-08 14:58:59 -0500},
1204 Journal = {J. Chem. Phys.},
1205 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Yeh_SlabCorrectionEwald_99.pdf},
1206 Number = {7},
1207 Pages = {3155-3162},
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1209 Volume = {111},
1210 Year = {1999}}
1211
1212 @article{Brodka04,
1213 Author = {A. Br\'{o}dka},
1214 Date-Added = {2008-01-08 14:58:56 -0500},
1215 Date-Modified = {2008-01-08 14:58:59 -0500},
1216 Doi = {10.1016/j.cplett.2004.10.086},
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1218 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Brodka_PointDipoleSlabEwald_04.pdf},
1219 Pages = {62-67},
1220 Title = {Ewald summation method with electrostatic layer correction for interactions of point dipoles in slab geometry},
1221 Volume = {400},
1222 Year = {2004}}
1223
1224 @article{Chuang98,
1225 Author = {I. Chuang and N. Gershenfeld and M. Kubinec},
1226 Date-Added = {2008-01-08 14:58:56 -0500},
1227 Date-Modified = {2008-01-08 14:58:59 -0500},
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1234 @article{Banerjee02,
1235 Author = {Srilekha Banerjee},
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1247 Date-Modified = {2008-01-08 14:58:59 -0500},
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1286 @article{Benninger:2005qy,
1287 Abstract = {The plasma membrane of cells is an ordered environment, giving rise to anisotropic orientation and restricted motion of molecules and proteins residing in the membrane. At the same time as being an organized matrix of defined structure, the cell membrane is heterogeneous and dynamic. Here we present a method where we use fluorescence imaging of linear dichroism to measure the orientation of molecules relative to the cell membrane. By detecting linear dichroism as well as fluorescence anisotropy, the orientation parameters are separated from dynamic properties such as rotational diffusion and homo energy transfer (energy migration). The sensitivity of the technique is enhanced by using two-photon excitation for higher photo-selection compared to single photon excitation. We show here that we can accurately image lipid organization in whole cell membranes and in delicate structures such as membrane nanotubes connecting two cells. The speed of our wide-field imaging system makes it possible to image changes in orientation and anisotropy occurring on a subsecond timescale. This is demonstrated by time-lapse studies showing that cholesterol depletion rapidly disrupts the orientation of a fluorophore located within the hydrophobic region of the cell membrane but not of a surface bound probe. This is consistent with cholesterol having an important role in stabilizing and ordering the lipid tails within the plasma membrane. },
1288 Annote = {10.1529/biophysj.104.050096},
1289 Author = {Benninger, Richard K. P. and Onfelt, Bjorn and Neil, Mark A. A. and Davis, Daniel M. and French, Paul M. W.},
1290 Date-Added = {2008-01-08 14:58:56 -0500},
1291 Date-Modified = {2008-01-08 14:58:59 -0500},
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1294 Number = {1},
1295 Pages = {609--622},
1296 Title = {Fluorescence Imaging of Two-Photon Linear Dichroism: Cholesterol Depletion Disrupts Molecular Orientation in Cell Membranes},
1297 Ty = {JOUR},
1298 Url = {http://www.biophysj.org/cgi/content/abstract/88/1/609},
1299 Volume = {88},
1300 Year = {2005}}
1301
1302 @inbook{Blumen86,
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1311 Series = {International Symposium on Fractals in Physics},
1312 Title = {Fractals in Physics},
1313 Year = 1986}
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1323 Volume = 43,
1324 Year = 1979}
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1328 Date-Added = {2008-01-08 14:58:56 -0500},
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1496
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1500 Date-Modified = {2008-01-08 14:58:59 -0500},
1501 Journal = {J. Chem. Phys.},
1502 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/TheoryTechniques/Ewald/Luty_LatticeSumElectrostatics_95.pdf},
1503 Number = {8},
1504 Pages = {3014-3021},
1505 Title = {Lattice-sum methods for calculating electrostatic interactions in molecular simulations},
1506 Volume = {103},
1507 Year = {1995}}
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1511 Date-Added = {2008-01-08 14:58:56 -0500},
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1517 Year = 1994}
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1542 Date-Modified = {2008-01-08 14:58:59 -0500},
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1548 Year = 2000}
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1550 @article{Gezelter99,
1551 Author = {J.~D. Gezelter and E. Rabani and B.~J. Berne},
1552 Date-Added = {2008-01-08 14:58:56 -0500},
1553 Date-Modified = {2008-01-08 14:58:59 -0500},
1554 Journal = jcp,
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1557 Volume = 110,
1558 Year = 1999}
1559
1560 @article{Sun97b,
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2138 Date-Added = {2008-01-08 14:58:56 -0500},
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2149 Date-Modified = {2008-01-08 14:59:01 -0500},
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2166 @article{Lent93,
2167 Author = {C.~S. Lent and P.~D. Tougaw and W.~Porod and G.~H. Bernstein},
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2178 Date-Added = {2008-01-08 14:58:56 -0500},
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2188 Date-Added = {2008-01-08 14:58:56 -0500},
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2196 @article{Tavares02,
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2218 Date-Added = {2008-01-08 14:58:56 -0500},
2219 Date-Modified = {2008-01-08 14:59:01 -0500},
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2302 Date-Modified = {2008-01-08 14:59:01 -0500},
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2438 Number = {1752},
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2495 @book{Tolman27,
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2505 @book{Safran94,
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2514 @article{McCullough90,
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2523 Year = 1990}
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2525 @article{Duncan04,
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2546 @article{NorbertKucerka04012005,
2547 Abstract = {Quantitative structures of the fully hydrated fluid phases of dimyristoylphosphatidylcholine (DMPC) and dilauroylphosphatidylcholine (DLPC) were obtained at 30{degrees}C. Data for the relative form factors F(qz) for DMPC were obtained using a combination of four methods. 1), Volumetric data provided F(0). 2), Diffuse x-ray scattering from oriented stacks of bilayers provided relative form factors |F(qz)| for high qz, 0.22 < qz < 0.8 A-1. 3), X-ray scattering from extruded unilamellar vesicles with diameter 600 A provided |F(qz)| for low qz, 0.1 < qz < 0.3 A-1. 4), Previous measurements using a liquid crystallographic x-ray method provided |F(2{pi}h/D)| for h = 1 and 2 for a range of nearly fully hydrated D-spacings. The data from method 4 overlap and validate the new unilamellar vesicles data for DMPC, so method 4 is not required for DLPC or future studies. We used hybrid electron density models to obtain structural results from these form factors. Comparison of the model electron density profiles with that of gel phase DMPC provides areas per lipid A, 60.6 {+/-} 0.5 A2 for DMPC and 63.2 {+/-} 0.5 A2 for DLPC. Constraints on the model provided by volume measurements and component volumes obtained from simulations put the electron density profiles {rho}(z) and the corresponding form factors F(qz) on absolute scales. Various thicknesses, such as the hydrophobic thickness and the steric thickness, are obtained and compared to literature values.
2548 },
2549 Author = {Kucerka, Norbert and Liu, Yufeng and Chu, Nanjun and Petrache, Horia I. and Tristram-Nagle, Stephanie and Nagle, John F.},
2550 Date-Added = {2008-01-08 14:58:56 -0500},
2551 Date-Modified = {2008-01-08 14:59:02 -0500},
2552 Doi = {10.1529/biophysj.104.056606},
2553 Eprint = {http://www.biophysj.org/cgi/reprint/88/4/2626.pdf},
2554 Journal = {Biophys. J.},
2555 Number = {4},
2556 Pages = {2626-2637},
2557 Title = {{Structure of Fully Hydrated Fluid Phase DMPC and DLPC Lipid Bilayers Using X-Ray Scattering from Oriented Multilamellar Arrays and from Unilamellar Vesicles}},
2558 Url = {http://www.biophysj.org/cgi/content/abstract/88/4/2626},
2559 Volume = {88},
2560 Year = {2005}}
2561
2562 @article{Lenz07,
2563 Author = {Olaf Lenz and Friederike Schmid},
2564 Date-Added = {2008-01-08 14:58:56 -0500},
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2606 Date-Added = {2008-01-08 14:58:56 -0500},
2607 Date-Modified = {2008-01-08 14:59:02 -0500},
2608 Journal = jpc,
2609 Pages = 13200,
2610 Title = {Supercooled Liquids and Glasses},
2611 Volume = 100,
2612 Year = 1996}
2613
2614 @article{Janiak79,
2615 Author = {M.~J. Janiak and D.~M. Small and G.~G. Shipley},
2616 Date-Added = {2008-01-08 14:58:56 -0500},
2617 Date-Modified = {2008-01-08 14:59:02 -0500},
2618 Journal = {J. Biol. Chem.},
2619 Pages = {6068-6078},
2620 Title = {Temperature and Compositional Dependence of the Structure of Hydrated Dimyristoyl Lecithin},
2621 Volume = 254,
2622 Year = 1979}
2623
2624 @article{Kaasgaard03,
2625 Author = {Thomas Kaasgaard and Chad Leidy and John H. Crowe and Ole G. Mouritsen and Kent J{\o}rgensen},
2626 Date-Added = {2008-01-08 14:58:56 -0500},
2627 Date-Modified = {2008-01-08 14:59:02 -0500},
2628 Journal = bj,
2629 Number = 1,
2630 Pages = {350-360},
2631 Title = {Temperature-Controlled Structure and Kinetics of Ripple Phases in One- and Two-Component Supported Lipid Bilayers},
2632 Volume = 85,
2633 Year = 2003}
2634
2635 @article{Holz00,
2636 Author = {M. Holz and S.~R. Heil and A. Sacco},
2637 Date-Added = {2008-01-08 14:58:56 -0500},
2638 Date-Modified = {2008-01-08 14:59:02 -0500},
2639 Journal = {Phys. Chem. Chem. Phys.},
2640 Pages = {4740-4742},
2641 Title = {Temperature-dependent self-diffusion coefficients of water and six selected molecular liquids for calibration in accurate $^1${\sc h} {\sc nmr pfg} measurements},
2642 Volume = 2,
2643 Year = 2000}
2644
2645 @article{Kob95a,
2646 Author = {W. Kob and H.~C. Andersen},
2647 Date-Added = {2008-01-08 14:58:56 -0500},
2648 Date-Modified = {2008-01-08 14:59:02 -0500},
2649 Journal = pre,
2650 Pages = {4626-4641},
2651 Title = {Testing mode-coupling theory for a supercooled binary Lennard-Jones mixtures: The van Hove corraltion function},
2652 Volume = 51,
2653 Year = 1995}
2654
2655 @article{Kob95b,
2656 Author = {W. Kob and H.~C. Andersen},
2657 Date-Added = {2008-01-08 14:58:56 -0500},
2658 Date-Modified = {2008-01-08 14:59:02 -0500},
2659 Journal = pre,
2660 Pages = {4134-4153},
2661 Title = {Testing mode-coupling theory for a supercooled binary Lennard-Jones mixtures. II. Intermediate scattering function and dynamic susceptibility},
2662 Volume = 52,
2663 Year = 1995}
2664
2665 @article{Adams79,
2666 Author = {D.~J. Adams and E.~M. Adams and G.~J. Hills},
2667 Date-Added = {2008-01-08 14:58:56 -0500},
2668 Date-Modified = {2008-01-08 14:59:02 -0500},
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2670 Number = {2},
2671 Pages = {387-400},
2672 Title = {The computer simulation of polar liquids},
2673 Volume = {38},
2674 Year = {1979}}
2675
2676 @article{Pense92,
2677 Author = {A. W. Pense},
2678 Date-Added = {2008-01-08 14:58:56 -0500},
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2684 Year = 1992}
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2688 Date-Added = {2008-01-08 14:58:56 -0500},
2689 Date-Modified = {2008-01-08 14:59:02 -0500},
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2694 Volume = 80,
2695 Year = 1984}
2696
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2705 Year = 2000}
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2707 @article{Parry75,
2708 Author = {D.~E. Parry},
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2714 Volume = {49},
2715 Year = {1975}}
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2725 Year = 1993}
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2745 Year = 1980}
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2755 Year = 1996}
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2762 Local-Url = {file://localhost/Users/cfennell/Documents/pdf_files/WaterSimulation/Andrea_LongRangeForcesInWater_83.pdf},
2763 Number = {9},
2764 Pages = {4576-4584},
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2766 Volume = {79},
2767 Year = {1983}}
2768
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2851 Volume = 71,
2852 Year = 1993}
2853
2854 @book{Hansen86,
2855 Address = {London},
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2857 Chapter = 7,
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2861 Publisher = {Academic Press},
2862 Title = {Theory of Simple Liquids},
2863 Year = 1986}
2864
2865 @article{Marder84,
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2867 Date-Added = {2008-01-08 14:58:56 -0500},
2868 Date-Modified = {2008-01-08 14:59:02 -0500},
2869 Journal = pnas,
2870 Pages = {6559-6561},
2871 Title = {Theory of the intermediate rippled phase of phospholipid bilayers},
2872 Volume = 81,
2873 Year = 1984}
2874
2875 @book{Tobias90,
2876 Address = {Tucson},
2877 Author = {Sheila Tobias},
2878 Date-Added = {2008-01-08 14:58:56 -0500},
2879 Date-Modified = {2008-01-08 14:59:02 -0500},
2880 Publisher = {Research Corp.},
2881 Title = {They're not Dumb. They're Different: Stalking the Second Tier},
2882 Year = 1990}
2883
2884 @article{Tao91,
2885 Author = {R. Tao and J. M. Sun},
2886 Date-Added = {2008-01-08 14:58:56 -0500},
2887 Date-Modified = {2008-01-08 14:59:02 -0500},
2888 Journal = prl,
2889 Number = 3,
2890 Pages = {398-401},
2891 Title = {Three-Dimensional Structure of Induced Electrorheological Solid},
2892 Volume = 67,
2893 Year = 1991}
2894
2895 @article{Bratko95,
2896 Author = {L. Blum and F. Vericat and D. Bratko},
2897 Date-Added = {2008-01-08 14:58:56 -0500},
2898 Date-Modified = {2008-01-08 14:59:02 -0500},
2899 Journal = jcp,
2900 Number = 3,
2901 Pages = {1461-1462},
2902 Title = {Towards an analytical model of water: The octupolar model},
2903 Volume = 102,
2904 Year = 1995}
2905
2906 @article{Martin98,
2907 Author = {M. Martin and J.~I. Siepmann},
2908 Date-Added = {2008-01-08 14:58:56 -0500},
2909 Date-Modified = {2008-01-08 14:59:02 -0500},
2910 Journal = jpcB,
2911 Pages = {2569-2577},
2912 Title = {Transferable Potentials for Phase Equilibria. 1. United-Atom Description of n-Alkanes},
2913 Volume = 102,
2914 Year = 1998}
2915
2916 @article{Misbah98,
2917 Author = {C. Misbah and J. Duplat and B. Houchmandzadeh},
2918 Date-Added = {2008-01-08 14:58:56 -0500},
2919 Date-Modified = {2008-01-08 14:59:02 -0500},
2920 Journal = prl,
2921 Number = 20,
2922 Pages = {4598-4601},
2923 Title = {Transition to Ripple Phases in Hydrated Amphiphiles},
2924 Volume = 80,
2925 Year = 1998}
2926
2927 @article{Alemany98,
2928 Author = {M.~M.~G. Alemany and C. Rey and L.~J. Gallego},
2929 Date-Added = {2008-01-08 14:58:56 -0500},
2930 Date-Modified = {2008-01-08 14:59:02 -0500},
2931 Journal = jcp,
2932 Pages = {5175-5176},
2933 Title = {Transport coefficients of liquid transition metals: A computer simulation study using the embedded atom model},
2934 Volume = 109,
2935 Year = 1998}
2936
2937 @article{Born12,
2938 Author = {M. Born and Th. Von~Karman},
2939 Date-Added = {2008-01-08 14:58:56 -0500},
2940 Date-Modified = {2008-01-08 14:59:02 -0500},
2941 Journal = {Physik Z.},
2942 Number = {297-309},
2943 Title = {Uber Schwingungen in Raumgittern},
2944 Volume = 13,
2945 Year = 1912}
2946
2947 @incollection{Angell85,
2948 Address = {Springfield, VA},
2949 Author = {C.~A. Angell},
2950 Booktitle = {Relaxations in Complex Systems},
2951 Date-Added = {2008-01-08 14:58:56 -0500},
2952 Date-Modified = {2008-01-08 14:59:03 -0500},
2953 Editor = {K.~Ngai and G.~B. Wright},
2954 Pages = 1,
2955 Publisher = {National Technical Information Service, U.S. Department of Commerce},
2956 Title = {unknown},
2957 Year = 1985}
2958
2959 @article{Ribeiro98,
2960 Author = {M.~C.~C. Ribeiro and P.~A. Madden},
2961 Date-Added = {2008-01-08 14:58:56 -0500},
2962 Date-Modified = {2008-01-08 14:59:03 -0500},
2963 Journal = jcp,
2964 Pages = {3256-3263},
2965 Title = {Unstable Modes in Ionic Melts},
2966 Volume = 108,
2967 Year = 1998}
2968
2969 @article{Mutz1991,
2970 Author = {Mutz, M. and Bensimon, D. and Brienne, M. J.},
2971 Date-Added = {2008-01-08 14:58:56 -0500},
2972 Date-Modified = {2008-01-08 14:59:03 -0500},
2973 Doi = {10.1103/PhysRevLett.67.923},
2974 Journal = {Phys. Rev. Lett.},
2975 Month = {Aug},
2976 Number = {7},
2977 Numpages = {3},
2978 Pages = {923--926},
2979 Publisher = {American Physical Society},
2980 Title = {Wrinkling transition in partially polymerized vesicles},
2981 Volume = {67},
2982 Year = {1991}}
2983
2984 @article{Wendt78,
2985 Author = {H. Wendt and F.~F. Abraham},
2986 Date-Added = {2008-01-08 14:58:56 -0500},
2987 Date-Modified = {2008-01-08 14:59:03 -0500},
2988 Journal = prl,
2989 Pages = 1244,
2990 Volume = 41,
2991 Year = 1978}
2992
2993 @unpublished{Truhlar00,
2994 Author = {D.~G. Truhlar and A. Kohen},
2995 Date-Added = {2008-01-08 14:58:56 -0500},
2996 Date-Modified = {2008-01-08 14:59:03 -0500},
2997 Note = {private correspondence},
2998 Year = {2000}}
2999
3000 @article{Dwyer1977,
3001 Author = {D.~J. Dwyer and G.~W. Simmons and R.~P. Wei},
3002 Date-Added = {2008-01-08 14:58:56 -0500},
3003 Date-Modified = {2008-01-08 14:59:03 -0500},
3004 Journal = {Surf. Sci.},
3005 Pages = 617,
3006 Volume = 64,
3007 Year = 1977}
3008
3009 @article{Macritche78,
3010 Author = {F. MacRitche},
3011 Date-Added = {2008-01-08 14:58:56 -0500},
3012 Date-Modified = {2008-01-08 14:59:03 -0500},
3013 Journal = {Adv. Protein Chem.},
3014 Pages = 283,
3015 Volume = 32,
3016 Year = 1978}
3017
3018 @article{Feder80,
3019 Author = {J. Feder},
3020 Date-Added = {2008-01-08 14:58:56 -0500},
3021 Date-Modified = {2008-01-08 14:59:03 -0500},
3022 Journal = {J. Theor. Biol.},
3023 Pages = 237,
3024 Volume = 87,
3025 Year = 1980}
3026
3027 @article{Ramsden93,
3028 Author = {J.~J. Ramsden},
3029 Date-Added = {2008-01-08 14:58:56 -0500},
3030 Date-Modified = {2008-01-08 14:59:03 -0500},
3031 Journal = prl,
3032 Pages = 295,
3033 Volume = 71,
3034 Year = 1993}
3035
3036 @article{Egelhoff89,
3037 Author = {W.~F. Egelhoff and I. Jacob},
3038 Date-Added = {2008-01-08 14:58:56 -0500},
3039 Date-Modified = {2008-01-08 14:59:03 -0500},
3040 Journal = prl,
3041 Pages = 921,
3042 Volume = 62,
3043 Year = 1989}
3044
3045 @article{Dobson1987,
3046 Author = {B.~W. Dobson},
3047 Date-Added = {2008-01-08 14:58:56 -0500},
3048 Date-Modified = {2008-01-08 14:59:03 -0500},
3049 Journal = prb,
3050 Pages = 1068,
3051 Volume = 36,
3052 Year = 1987}
3053
3054 @article{Davis:1969uq,
3055 Abstract = { Exact solutions of the Stokes equations are derived for the case of two unequal spheres slowly rotating or translating perpendicular to their line of centers in a quiescent, unbounded viscous fluid, following Wakiya[16]. Numerical results are presented for the force and torque coefficients for size ratios from 1[middle dot]0 to 10[middle dot]0, and separations down to 0[middle dot]001 times the radius of the smaller.},
3056 Author = {Davis, M. H.},
3057 Date-Added = {2008-01-08 14:57:14 -0500},
3058 Date-Modified = {2008-01-08 14:57:14 -0500},
3059 Journal = {Chemical Engineering Science},
3060 Number = {12},
3061 Pages = {1769--1776},
3062 Title = {The slow translation and rotation of two unequal spheres in a viscous fluid},
3063 Ty = {JOUR},
3064 Url = {http://www.sciencedirect.com/science/article/B6TFK-445H8BM-84/2/b34951283900cdde792ec1309ec51565},
3065 Volume = {24},
3066 Year = {1969}}
3067
3068 @article{Stimson:1926qy,
3069 Author = {Stimson, M and Jeffery, GB},
3070 Date-Added = {2008-01-08 14:51:23 -0500},
3071 Date-Modified = {2008-01-08 14:51:35 -0500},
3072 Journal = {Proceedings of the Royal Society of London Series A-Containing Papers of a Mathematical and Physical Character},
3073 Pages = {110-116},
3074 Title = {The motion of two spheres in a viscous fluid},
3075 Volume = {111},
3076 Year = {1926}}
3077
3078 @article{Orlandi:2006fk,
3079 Abstract = {Liquid crystal phases formed by bent-shaped (or {\tt{}"{}}banana{\tt{}"{}}) molecules are currently of great interest. Here we investigate by Monte Carlo computer simulations the phases formed by rigid banana molecules modeled combining three Gay-Berne sites and containing either one central or two lateral and transversal dipoles. We show that changing the dipole position and orientation has a profound effect on the mesophase stability and molecular organization. In particular, we find a uniaxial nematic phase only for off-center dipolar models and tilted phases only for the one with terminal dipoles.},
3080 Address = {Dipartimento di Chimica Fisica e Inorganica, and INSTM, Universita di Bologna, Viale Risorgimento 4, 40136 Bologna, Italy.},
3081 Au = {Orlandi, S and Berardi, R and Steltzer, J and Zannoni, C},
3082 Author = {Orlandi, Silvia and Berardi, Roberto and Steltzer, Joachim and Zannoni, Claudio},
3083 Da = {20060407},
3084 Date-Added = {2008-01-08 14:47:56 -0500},
3085 Date-Modified = {2008-01-08 14:48:06 -0500},
3086 Dcom = {20070727},
3087 Doi = {10.1063/1.2176622},
3088 Edat = {2006/04/08 09:00},
3089 Issn = {0021-9606 (Print)},
3090 Jid = {0375360},
3091 Journal = {J Chem Phys},
3092 Jt = {The Journal of chemical physics},
3093 Language = {eng},
3094 Mhda = {2006/04/08 09:01},
3095 Number = {12},
3096 Own = {NLM},
3097 Pages = {124907},
3098 Pl = {United States},
3099 Pmid = {16599725},
3100 Pst = {ppublish},
3101 Pt = {Journal Article},
3102 Pubm = {Print},
3103 So = {J Chem Phys. 2006 Mar 28;124(12):124907.},
3104 Stat = {PubMed-not-MEDLINE},
3105 Title = {A Monte Carlo study of the mesophases formed by polar bent-shaped molecules.},
3106 Volume = {124},
3107 Year = {2006}}
3108
3109 @article{sun:031602,
3110 Author = {Xiuquan Sun and J. Daniel Gezelter},
3111 Date-Added = {2008-01-08 14:42:33 -0500},
3112 Date-Modified = {2008-01-08 14:42:33 -0500},
3113 Doi = {10.1103/PhysRevE.75.031602},
3114 Eid = {031602},
3115 Journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)},
3116 Keywords = {lattice theory; membranes},
3117 Number = {3},
3118 Numpages = {7},
3119 Pages = {031602},
3120 Publisher = {APS},
3121 Title = {Spontaneous corrugation of dipolar membranes},
3122 Url = {http://link.aps.org/abstract/PRE/v75/e031602},
3123 Volume = {75},
3124 Year = {2007}}
3125
3126 @article{Ortega:2007lr,
3127 Abstract = {The equivalent radius for any solution property is the radius of a spherical particle having the same value of solution property as that of the macromolecule under consideration. Equivalent radii for different properties present a dependence on size and shape that are more similar than the values of the properties themselves. Furthermore, the ratios of equivalent radii of two properties depend on the conformation (shape or flexibility), but not on the absolute sizes. We define equivalent radii and their ratios, and describe their evaluation for some common models of rigid and flexible macromolecules. Using radii and ratios, we have devised procedures to fit macromolecular models to experimental properties, allowing the determination of the model parameters. Using these quantities, we can construct target functions for an equilibrated, unbiased optimization. The procedures, which have been implemented in public-domain computer programs, are illustrated for rigid, globular proteins, and the rodlike tobacco mosaic virus, and for semiflexible, wormlike heparin molecules.},
3128 Address = {Departamento de Quimica Fisica, Facultad de Quimica, Universidad de Murcia, 30071 Murcia, Spain.},
3129 Au = {Ortega, A and Garcia de la Torre, J},
3130 Author = {Ortega, A and Garcia de la Torre, J},
3131 Da = {20070813},
3132 Date-Added = {2008-01-08 14:38:03 -0500},
3133 Date-Modified = {2008-01-08 14:38:49 -0500},
3134 Dcom = {20071017},
3135 Dep = {20070724},
3136 Doi = {10.1021/bm700473f},
3137 Edat = {2007/07/25 09:00},
3138 Issn = {1525-7797 (Print)},
3139 Jid = {100892849},
3140 Journal = {Biomacromolecules},
3141 Jt = {Biomacromolecules},
3142 Keywords = {Computer Simulation; Heparin/chemistry; Macromolecular Substances/*chemistry; *Models, Chemical; *Models, Molecular; Molecular Conformation; Particle Size; Protein Conformation; Proteins/chemistry; Software; Solutions},
3143 Language = {eng},
3144 Mhda = {2007/10/18 09:00},
3145 Number = {8},
3146 Own = {NLM},
3147 Pages = {2464--2475},
3148 Phst = {2007/07/24 {$[$}aheadofprint{$]$}},
3149 Pl = {United States},
3150 Pmid = {17645309},
3151 Pst = {ppublish},
3152 Pt = {Journal Article; Research Support, Non-U.S. Gov't},
3153 Pubm = {Print-Electronic},
3154 Rn = {0 (Macromolecular Substances); 0 (Proteins); 0 (Solutions); 9005-49-6 (Heparin)},
3155 Sb = {IM},
3156 So = {Biomacromolecules. 2007 Aug;8(8):2464-75. Epub 2007 Jul 24.},
3157 Stat = {MEDLINE},
3158 Title = {Equivalent radii and ratios of radii from solution properties as indicators of macromolecular conformation, shape, and flexibility.},
3159 Volume = {8},
3160 Year = {2007}}
3161
3162 @article{Torre2003,
3163 Abstract = {While the prediction of hydrodynamic properties of rigid particles
3164 is nowadays feasible using simple and efficient computer programs,
3165 the calculation of such properties and, in general, the dynamic
3166 behavior of flexible macromolecules has not reached a similar situation.
3167 Although the theories are available, usually the computational work
3168 is done using solutions specific for each problem. We intend to
3169 develop computer programs that would greatly facilitate the task
3170 of predicting solution behavior of flexible macromolecules. In this
3171 paper, we first present an overview of the two approaches that are
3172 most practical: the Monte Carlo rigid-body treatment, and the Brownian
3173 dynamics simulation technique. The Monte Carlo procedure is based
3174 on the calculation of properties for instantaneous conformations
3175 of the macromolecule that are regarded as if they were instantaneously
3176 rigid. We describe how a Monte Carlo program can be interfaced to
3177 the programs in the HYDRO suite for rigid particles, and provide
3178 an example of such calculation, for a hypothetical particle: a protein
3179 with two domains connected by a flexible linker. We also describe
3180 briefly the essentials of Brownian dynamics, and propose a general
3181 mechanical model that includes several kinds of intramolecular interactions,
3182 such as bending, internal rotation, excluded volume effects, etc.
3183 We provide an example of the application of this methodology to
3184 the dynamics of a semiflexible, wormlike DNA.},
3185 Annote = {724XK Times Cited:6 Cited References Count:64},
3186 Author = {J. G. {de la Torre} and H. E. Sanchez and A. Ortega and J. G. Hernandez and M. X. Fernandes and F. G. Diaz and M. C. L. Martinez},
3187 Issn = {0175-7571},
3188 Journal = {European Biophysics Journal with Biophysics Letters},
3189 Month = {Aug},
3190 Number = {5},
3191 Pages = {477-486},
3192 Title = {Calculation of the solution properties of flexible macromolecules: methods and applications},
3193 Uri = {<Go to ISI>://000185513400011},
3194 Volume = {32},
3195 Year = {2003}}
3196
3197 @article{Alakent2005,
3198 Abstract = {Time series analysis tools are employed on the principal modes obtained
3199 from the C-alpha trajectories from two independent molecular-dynamics
3200 simulations of alpha-amylase inhibitor (tendamistat). Fluctuations
3201 inside an energy minimum (intraminimum motions), transitions between
3202 minima (interminimum motions), and relaxations in different hierarchical
3203 energy levels are investigated and compared with those encountered
3204 in vacuum by using different sampling window sizes and intervals.
3205 The low-frequency low-indexed mode relationship, established in
3206 vacuum, is also encountered in water, which shows the reliability
3207 of the important dynamics information offered by principal components
3208 analysis in water. It has been shown that examining a short data
3209 collection period (100 ps) may result in a high population of overdamped
3210 modes, while some of the low-frequency oscillations (< 10 cm(-1))
3211 can be captured in water by using a longer data collection period
3212 (1200 ps). Simultaneous analysis of short and long sampling window
3213 sizes gives the following picture of the effect of water on protein
3214 dynamics. Water makes the protein lose its memory: future conformations
3215 are less dependent on previous conformations due to the lowering
3216 of energy barriers in hierarchical levels of the energy landscape.
3217 In short-time dynamics (< 10 ps), damping factors extracted from
3218 time series model parameters are lowered. For tendamistat, the friction
3219 coefficient in the Langevin equation is found to be around 40-60
3220 cm(-1) for the low-indexed modes, compatible with literature. The
3221 fact that water has increased the friction and that on the other
3222 hand has lubrication effect at first sight contradicts. However,
3223 this comes about because water enhances the transitions between
3224 minima and forces the protein to reduce its already inherent inability
3225 to maintain oscillations observed in vacuum. Some of the frequencies
3226 lower than 10 cm(-1) are found to be overdamped, while those higher
3227 than 20 cm(-1) are slightly increased. As for the long-time dynamics
3228 in water, it is found that random-walk motion is maintained for
3229 approximately 200 ps (about five times of that in vacuum) in the
3230 low-indexed modes, showing the lowering of energy barriers between
3231 the higher-level minima.},
3232 Annote = {973OH Times Cited:1 Cited References Count:33},
3233 Author = {B. Alakent and M. C. Camurdan and P. Doruker},
3234 Issn = {0021-9606},
3235 Journal = {Journal of Chemical Physics},
3236 Month = {Oct 8},
3237 Number = {14},
3238 Pages = {-},
3239 Title = {Hierarchical structure of the energy landscape of proteins revisited by time series analysis. II. Investigation of explicit solvent effects},
3240 Uri = {<Go to ISI>://000232532000064},
3241 Volume = {123},
3242 Year = {2005}}
3243
3244 @book{Alexander1987,
3245 Address = {New York},
3246 Author = {C. Alexander},
3247 Publisher = {Oxford University Press},
3248 Title = {A Pattern Language: Towns, Buildings, Construction},
3249 Year = {1987}}
3250
3251 @book{Allen1987,
3252 Address = {New York},
3253 Author = {M.~P. Allen and D.~J. Tildesley},
3254 Publisher = {Oxford University Press},
3255 Title = {Computer Simulations of Liquids},
3256 Year = {1987}}
3257
3258 @article{Allison1991,
3259 Abstract = {A Brownian dynamics algorithm is developed to simulate dynamics experiments
3260 of rigid macromolecules. It is applied to polarized dynamic light
3261 scattering from rodlike sturctures and from a model of a DNA fragment
3262 (762 base pairs). A number of rod cases are examined in which the
3263 translational anisotropy is increased form zero to a large value.
3264 Simulated first cumulants as well as amplitudes and lifetimes of
3265 the dynamic form factor are compared with predictions of analytic
3266 theories and found to be in very good agreement with them. For DNA
3267 fragments 762 base pairs in length or longer, translational anisotropy
3268 does not contribute significantly to dynamic light scattering. In
3269 a comparison of rigid and flexible simulations on semistiff models
3270 of this fragment, it is shown directly that flexing contributes
3271 to the faster decay processes probed by light scattering and that
3272 the flexible model studies are in good agreement with experiment.},
3273 Annote = {Eu814 Times Cited:8 Cited References Count:32},
3274 Author = {S. A. Allison},
3275 Issn = {0024-9297},
3276 Journal = {Macromolecules},
3277 Month = {Jan 21},
3278 Number = {2},
3279 Pages = {530-536},
3280 Title = {A Brownian Dynamics Algorithm for Arbitrary Rigid Bodies - Application to Polarized Dynamic Light-Scattering},
3281 Uri = {<Go to ISI>://A1991EU81400029},
3282 Volume = {24},
3283 Year = {1991}}
3284
3285 @article{Andersen1983,
3286 Annote = {Rq238 Times Cited:559 Cited References Count:14},
3287 Author = {H. C. Andersen},
3288 Issn = {0021-9991},
3289 Journal = {Journal of Computational Physics},
3290 Number = {1},
3291 Pages = {24-34},
3292 Title = {Rattle - a Velocity Version of the Shake Algorithm for Molecular-Dynamics Calculations},
3293 Uri = {<Go to ISI>://A1983RQ23800002},
3294 Volume = {52},
3295 Year = {1983}}
3296
3297 @article{Auerbach2005,
3298 Abstract = {Acetylcholine receptor channels (AChRs) are proteins that switch between
3299 stable #closed# and #open# conformations. In patch clamp recordings,
3300 diliganded AChR gating appears to be a simple, two-state reaction.
3301 However, mutagenesis studies indicate that during gating dozens
3302 of residues across the protein move asynchronously and are organized
3303 into rigid body gating domains (#blocks#). Moreover, there is an
3304 upper limit to the apparent channel opening rate constant. These
3305 observations suggest that the gating reaction has a broad, corrugated
3306 transition state region, with the maximum opening rate reflecting,
3307 in part, the mean first-passage time across this ensemble. Simulations
3308 reveal that a flat, isotropic energy profile for the transition
3309 state can account for many of the essential features of AChR gating.
3310 With this mechanism, concerted, local structural transitions that
3311 occur on the broad transition state ensemble give rise to fractional
3312 measures of reaction progress (Phi values) determined by rate-equilibrium
3313 free energy relationship analysis. The results suggest that the
3314 coarse-grained AChR gating conformational change propagates through
3315 the protein with dynamics that are governed by the Brownian motion
3316 of individual gating blocks.},
3317 Annote = {895QF Times Cited:9 Cited References Count:33},
3318 Author = {A. Auerbach},
3319 Issn = {0027-8424},
3320 Journal = {Proceedings of the National Academy of Sciences of the United States of America},
3321 Month = {Feb 1},
3322 Number = {5},
3323 Pages = {1408-1412},
3324 Title = {Gating of acetylcholine receptor channels: Brownian motion across a broad transition state},
3325 Uri = {<Go to ISI>://000226877300030},
3326 Volume = {102},
3327 Year = {2005}}
3328
3329 @article{Baber1995,
3330 Abstract = {The effect of the general anesthetics halothane, enflurane, and isoflurane
3331 on hydrocarbon chain packing in palmitoyl(d(31))oleoylphosphatidylcholine
3332 membranes in the liquid crystalline phase was investigated using
3333 H-2 NMR. Upon the addition of the anesthetics, the first five methylene
3334 units near the interface generally show a very small increase in
3335 segmental order, while segments deeper within the bilayer show a
3336 small decrease in segmental order. From the H-2 NMR results, the
3337 chain length for the perdeuterated palmitoyl chain in the absence
3338 of anesthetic was found to be 12.35 Angstrom. Upon the addition
3339 of halothane enflurane, or isoflurane, the acyl chain undergoes
3340 slight contractions of 0.11, 0.20, or 0.16 Angstrom, respectively,
3341 at 50 mol % anesthetic. A simple model was used to estimate the
3342 relative amounts of anesthetic located near the interface and deeper
3343 in the bilayer hydrocarbon region, and only a slight preference
3344 for an interfacial location was observed. Intermolecular H-1-H-1
3345 nuclear Overhauser effects (NOEs) were measured between phospholipid
3346 and halothane protons. These NOEs are consistent with the intramembrane
3347 location of the anesthetics suggested by the H-2 NMR data. In addition,
3348 the NOE data indicate that anesthetics prefer the interfacial and
3349 hydrocarbon regions of the membrane and are not found in high concentrations
3350 in the phospholipid headgroup.},
3351 Annote = {Qz716 Times Cited:38 Cited References Count:37},
3352 Author = {J. Baber and J. F. Ellena and D. S. Cafiso},
3353 Issn = {0006-2960},
3354 Journal = {Biochemistry},
3355 Month = {May 16},
3356 Number = {19},
3357 Pages = {6533-6539},
3358 Title = {Distribution of General-Anesthetics in Phospholipid-Bilayers Determined Using H-2 Nmr and H-1-H-1 Noe Spectroscopy},
3359 Uri = {<Go to ISI>://A1995QZ71600035},
3360 Volume = {34},
3361 Year = {1995}}
3362
3363 @article{Banerjee2004,
3364 Abstract = {Based on a coherent state representation of noise operator and an
3365 ensemble averaging procedure using Wigner canonical thermal distribution
3366 for harmonic oscillators, a generalized quantum Langevin equation
3367 has been recently developed [Phys. Rev. E 65, 021109 (2002); 66,
3368 051106 (2002)] to derive the equations of motion for probability
3369 distribution functions in c-number phase-space. We extend the treatment
3370 to explore several systematic approximation schemes for the solutions
3371 of the Langevin equation for nonlinear potentials for a wide range
3372 of noise correlation, strength and temperature down to the vacuum
3373 limit. The method is exemplified by an analytic application to harmonic
3374 oscillator for arbitrary memory kernel and with the help of a numerical
3375 calculation of barrier crossing, in a cubic potential to demonstrate
3376 the quantum Kramers' turnover and the quantum Arrhenius plot. (C)
3377 2004 American Institute of Physics.},
3378 Annote = {816YY Times Cited:8 Cited References Count:35},
3379 Author = {D. Banerjee and B. C. Bag and S. K. Banik and D. S. Ray},
3380 Issn = {0021-9606},
3381 Journal = {Journal of Chemical Physics},
3382 Month = {May 15},
3383 Number = {19},
3384 Pages = {8960-8972},
3385 Title = {Solution of quantum Langevin equation: Approximations, theoretical and numerical aspects},
3386 Uri = {<Go to ISI>://000221146400009},
3387 Volume = {120},
3388 Year = {2004}}
3389
3390 @article{Barojas1973,
3391 Author = {J. Barojas and D. Levesque},
3392 Journal = {Phys. Rev. A},
3393 Pages = {1092-1105},
3394 Title = {Simulation of Diatomic Homonuclear Liquids},
3395 Volume = {7},
3396 Year = {1973}}
3397
3398 @article{Barth1998,
3399 Abstract = {We present an efficient new method termed LN for propagating biomolecular
3400 dynamics according to the Langevin equation that arose fortuitously
3401 upon analysis of the range of harmonic validity of our normal-mode
3402 scheme LIN. LN combines force linearization with force splitting
3403 techniques and disposes of LIN'S computationally intensive minimization
3404 (anharmonic correction) component. Unlike the competitive multiple-timestepping
3405 (MTS) schemes today-formulated to be symplectic and time-reversible-LN
3406 merges the slow and fast forces via extrapolation rather than impulses;
3407 the Langevin heat bath prevents systematic energy drifts. This combination
3408 succeeds in achieving more significant speedups than these MTS methods
3409 which are Limited by resonance artifacts to an outer timestep less
3410 than some integer multiple of half the period of the fastest motion
3411 (around 4-5 fs for biomolecules). We show that LN achieves very
3412 good agreement with small-timestep solutions of the Langevin equation
3413 in terms of thermodynamics (energy means and variances), geometry,
3414 and dynamics (spectral densities) for two proteins in vacuum and
3415 a large water system. Significantly, the frequency of updating the
3416 slow forces extends to 48 fs or more, resulting in speedup factors
3417 exceeding 10. The implementation of LN in any program that employs
3418 force-splitting computations is straightforward, with only partial
3419 second-derivative information required, as well as sparse Hessian/vector
3420 multiplication routines. The linearization part of LN could even
3421 be replaced by direct evaluation of the fast components. The application
3422 of LN to biomolecular dynamics is well suited for configurational
3423 sampling, thermodynamic, and structural questions. (C) 1998 American
3424 Institute of Physics.},
3425 Annote = {105HH Times Cited:29 Cited References Count:49},
3426 Author = {E. Barth and T. Schlick},
3427 Issn = {0021-9606},
3428 Journal = {Journal of Chemical Physics},
3429 Month = {Aug 1},
3430 Number = {5},
3431 Pages = {1617-1632},
3432 Title = {Overcoming stability limitations in biomolecular dynamics. I. Combining force splitting via extrapolation with Langevin dynamics in LN},
3433 Uri = {<Go to ISI>://000075066300006},
3434 Volume = {109},
3435 Year = {1998}}
3436
3437 @article{Batcho2001,
3438 Abstract = {We present an analysis for a simple two-component harmonic oscillator
3439 that compares the use of position-Verlet to velocity-Verlet for
3440 multiple-time step integration. The numerical stability analysis
3441 based on the impulse-Verlet splitting shows that position-Verlet
3442 has enhanced stability, in terms of the largest allowable time step,
3443 for cases where an ample separation of time scales exists. Numerical
3444 investigations confirm the advantages of the position-Verlet scheme
3445 when used for the fastest time scales of the system. Applications
3446 to a biomolecule. a solvated protein, for both Newtonian and Langevin
3447 dynamics echo these trends over large outer time-step regimes. (C)
3448 2001 American Institute of Physics.},
3449 Annote = {469KV Times Cited:6 Cited References Count:30},
3450 Author = {P. F. Batcho and T. Schlick},
3451 Issn = {0021-9606},
3452 Journal = {Journal of Chemical Physics},
3453 Month = {Sep 1},
3454 Number = {9},
3455 Pages = {4019-4029},
3456 Title = {Special stability advantages of position-Verlet over velocity-Verlet in multiple-time step integration},
3457 Uri = {<Go to ISI>://000170813800005},
3458 Volume = {115},
3459 Year = {2001}}
3460
3461 @article{Bates2005,
3462 Abstract = {Inspired by recent claims that compounds composed of V-shaped molecules
3463 can exhibit the elusive biaxial nematic phase, we have developed
3464 a generic simulation model for such systems. This contains the features
3465 of the molecule that are essential to its liquid crystal behavior,
3466 namely the anisotropies of the two arms and the angle between them.
3467 The behavior of the model has been investigated using Monte Carlo
3468 simulations for a wide range of these structural parameters. This
3469 allows us to establish the relationship between the V-shaped molecule
3470 and its ability to form a biaxial nematic phase. Of particular importance
3471 are the criteria of geometry and the relative anisotropy necessary
3472 for the system to exhibit a Landau point, at which the biaxial nematic
3473 is formed directly from the isotropic phase. The simulations have
3474 also been used to determine the orientational order parameters for
3475 a selection of molecular axes. These are especially important because
3476 they reveal the phase symmetry and are connected to the experimental
3477 determination of this. The simulation results show that, whereas
3478 some positions are extremely sensitive to the phase biaxiality,
3479 others are totally blind to this.},
3480 Annote = {Part 1 988LQ Times Cited:0 Cited References Count:38},
3481 Author = {M. A. Bates and G. R. Luckhurst},
3482 Issn = {1539-3755},
3483 Journal = {Physical Review E},
3484 Month = {Nov},
3485 Number = {5},
3486 Pages = {-},
3487 Title = {Biaxial nematic phases and V-shaped molecules: A Monte Carlo simulation study},
3488 Uri = {<Go to ISI>://000233603100030},
3489 Volume = {72},
3490 Year = {2005}}
3491
3492 @article{Beard2003,
3493 Abstract = {We introduce an unbiased protocol for performing rotational moves
3494 in rigid-body dynamics simulations. This approach - based on the
3495 analytic solution for the rotational equations of motion for an
3496 orthogonal coordinate system at constant angular velocity - removes
3497 deficiencies that have been largely ignored in Brownian dynamics
3498 simulations, namely errors for finite rotations that result from
3499 applying the noncommuting rotational matrices in an arbitrary order.
3500 Our algorithm should thus replace standard approaches to rotate
3501 local coordinate frames in Langevin and Brownian dynamics simulations.},
3502 Annote = {736UA Times Cited:0 Cited References Count:11},
3503 Author = {D. A. Beard and T. Schlick},
3504 Issn = {0006-3495},
3505 Journal = {Biophysical Journal},
3506 Month = {Nov 1},
3507 Number = {5},
3508 Pages = {2973-2976},
3509 Title = {Unbiased rotational moves for rigid-body dynamics},
3510 Uri = {<Go to ISI>://000186190500018},
3511 Volume = {85},
3512 Year = {2003}}
3513
3514 @article{Beloborodov1998,
3515 Abstract = {Using the Green function of arbitrary rigid Brownian diffusion (Goldstein,
3516 Biopolymers 33, 409-436, 1993), it was analytically shown that coupling
3517 between translation and rotation diffusion degrees of freedom does
3518 not affect the correlation functions relevant to the NMR intramolecular
3519 relaxation. It follows that spectral densities usually used for
3520 the anisotropic rotation diffusion (Woessner, J. Chem. Phys. 37,
3521 647-654, 1962) can be regarded as exact in respect to the rotation-translation
3522 coupling for the spin system connected with a rigid body. (C) 1998
3523 Academic Press.},
3524 Annote = {Zu605 Times Cited:2 Cited References Count:6},
3525 Author = {I. S. Beloborodov and V. Y. Orekhov and A. S. Arseniev},
3526 Issn = {1090-7807},
3527 Journal = {Journal of Magnetic Resonance},
3528 Month = {Jun},
3529 Number = {2},
3530 Pages = {328-329},
3531 Title = {Effect of coupling between rotational and translational Brownian motions on NMR spin relaxation: Consideration using green function of rigid body diffusion},
3532 Uri = {<Go to ISI>://000074214800017},
3533 Volume = {132},
3534 Year = {1998}}
3535
3536 @article{Berardi1996,
3537 Abstract = {We demonstrate that the overall molecular dipole organization in a
3538 smectic liquid crystal formed of polar molecules can be strongly
3539 influenced by the position of the dipole in the molecule. We study
3540 by large scale Monte Carlo simulations systems of attractive-repulsive
3541 ''Gay-Berne'' elongated ellipsoids with an axial dipole at the center
3542 or near the end of the molecule and we show that monolayer smectic
3543 liquid crystals and modulated antiferroelectric bilayer stripe domains
3544 similar to the experimentally observed ''antiphase'' structures
3545 are obtained in the two cases.},
3546 Annote = {Vn637 Times Cited:49 Cited References Count:26},
3547 Author = {R. Berardi and S. Orlandi and C. Zannoni},
3548 Issn = {0009-2614},
3549 Journal = {Chemical Physics Letters},
3550 Month = {Oct 18},
3551 Number = {3},
3552 Pages = {357-362},
3553 Title = {Antiphase structures in polar smectic liquid crystals and their molecular origin},
3554 Uri = {<Go to ISI>://A1996VN63700023},
3555 Volume = {261},
3556 Year = {1996}}
3557
3558 @article{Berkov2005,
3559 Abstract = {In this paper a detailed numerical study (in frames of the Slonczewski
3560 formalism) of magnetization oscillations driven by a spin-polarized
3561 current through a thin elliptical nanoelement is presented. We show
3562 that a sophisticated micromagnetic model, where a polycrystalline
3563 structure of a nanoelement is taken into account, can explain qualitatively
3564 all most important features of the magnetization oscillation spectra
3565 recently observed experimentally [S. I. Kiselev , Nature 425, 380
3566 (2003)], namely, existence of several equidistant spectral bands,
3567 sharp onset and abrupt disappearance of magnetization oscillations
3568 with increasing current, absence of the out-of-plane regime predicted
3569 by a macrospin model, and the relation between frequencies of so-called
3570 small-angle and quasichaotic oscillations. However, a quantitative
3571 agreement with experimental results (especially concerning the frequency
3572 of quasichaotic oscillations) could not be achieved in the region
3573 of reasonable parameter values, indicating that further model refinement
3574 is necessary for a complete understanding of the spin-driven magnetization
3575 precession even in this relatively simple experimental situation.},
3576 Annote = {969IT Times Cited:2 Cited References Count:55},
3577 Author = {D. V. Berkov and N. L. Gorn},
3578 Issn = {1098-0121},
3579 Journal = {Physical Review B},
3580 Month = {Sep},
3581 Number = {9},
3582 Pages = {-},
3583 Title = {Magnetization precession due to a spin-polarized current in a thin nanoelement: Numerical simulation study},
3584 Uri = {<Go to ISI>://000232228500058},
3585 Volume = {72},
3586 Year = {2005}}
3587
3588 @article{Berkov2005a,
3589 Abstract = {Numerical simulations of fast remagnetization processes using stochastic
3590 dynamics are widely used to study various magnetic systems. In this
3591 paper, we first address several crucial methodological problems
3592 of such simulations: (i) the influence of finite-element discretization
3593 on simulated dynamics, (ii) choice between Ito and Stratonovich
3594 stochastic calculi by the solution of micromagnetic stochastic equations
3595 of motion and (iii) non-trivial correlation properties of the random
3596 (thermal) field. Next, we discuss several examples to demonstrate
3597 the great potential of the Langevin dynamics for studying fast remagnetization
3598 processes in technically relevant applications: we present numerical
3599 analysis of equilibrium magnon spectra in patterned structures,
3600 study thermal noise effects on the magnetization dynamics of nanoelements
3601 in pulsed fields and show some results for a remagnetization dynamics
3602 induced by a spin-polarized current. (c) 2004 Elsevier B.V. All
3603 rights reserved.},
3604 Annote = {Part 1 Sp. Iss. SI 922KU Times Cited:2 Cited References Count:25},
3605 Author = {D. V. Berkov and N. L. Gorn},
3606 Issn = {0304-8853},
3607 Journal = {Journal of Magnetism and Magnetic Materials},
3608 Month = {Apr},
3609 Pages = {442-448},
3610 Title = {Stochastic dynamic simulations of fast remagnetization processes: recent advances and applications},
3611 Uri = {<Go to ISI>://000228837600109},
3612 Volume = {290},
3613 Year = {2005}}
3614
3615 @article{Berkov2002,
3616 Abstract = {We report on recent progress achieved by the development of numerical
3617 methods based on the stochastic (Langevin) dynamics applied to systems
3618 of interacting magnetic nanoparticles. The method enables direct
3619 simulations of the trajectories of magnetic moments taking into
3620 account (i) all relevant interactions, (ii) precession dynamics,
3621 and (iii) temperature fluctuations included via the random (thermal)
3622 field. We present several novel results obtained using new methods
3623 developed for the solution of the Langevin equations. In particular,
3624 we have investigated magnetic nanodots and disordered granular systems
3625 of single-domain magnetic particles. For the first case we have
3626 calculated the spectrum and the spatial distribution of spin excitations.
3627 For the second system the complex ac susceptibility chi(omega, T)
3628 for various particle concentrations and particle anisotropies were
3629 computed and compared with numerous experimental results.},
3630 Annote = {526TF Times Cited:4 Cited References Count:37},
3631 Author = {D. V. Berkov and N. L. Gorn and P. Gornert},
3632 Issn = {0031-8965},
3633 Journal = {Physica Status Solidi a-Applied Research},
3634 Month = {Feb 16},
3635 Number = {2},
3636 Pages = {409-421},
3637 Title = {Magnetization dynamics in nanoparticle systems: Numerical simulation using Langevin dynamics},
3638 Uri = {<Go to ISI>://000174145200026},
3639 Volume = {189},
3640 Year = {2002}}
3641
3642 @article{Bernal1980,
3643 Author = {J.M. Bernal and J. G. {de la Torre}},
3644 Journal = {Biopolymers},
3645 Pages = {751-766},
3646 Title = {Transport Properties and Hydrodynamic Centers of Rigid Macromolecules with Arbitrary Shape},
3647 Volume = {19},
3648 Year = {1980}}
3649
3650 @article{Brenner1967,
3651 Author = {H. Brenner},
3652 Journal = {J. Collid. Int. Sci.},
3653 Pages = {407-436},
3654 Title = {Coupling between the Translational and Rotational Brownian Motions of Rigid Particles of Arbitrary shape},
3655 Volume = {23},
3656 Year = {1967}}
3657
3658 @article{Brooks1983,
3659 Annote = {Qp423 Times Cited:6414 Cited References Count:96},
3660 Author = {B. R. Brooks and R. E. Bruccoleri and B. D. Olafson and D. J. States and S. Swaminathan and M. Karplus},
3661 Issn = {0192-8651},
3662 Journal = {Journal of Computational Chemistry},
3663 Number = {2},
3664 Pages = {187-217},
3665 Title = {Charmm - a Program for Macromolecular Energy, Minimization, and Dynamics Calculations},
3666 Uri = {<Go to ISI>://A1983QP42300010},
3667 Volume = {4},
3668 Year = {1983}}
3669
3670 @article{Brunger1984,
3671 Annote = {Sm173 Times Cited:143 Cited References Count:22},
3672 Author = {A. Brunger and C. L. Brooks and M. Karplus},
3673 Issn = {0009-2614},
3674 Journal = {Chemical Physics Letters},
3675 Number = {5},
3676 Pages = {495-500},
3677 Title = {Stochastic Boundary-Conditions for Molecular-Dynamics Simulations of St2 Water},
3678 Uri = {<Go to ISI>://A1984SM17300007},
3679 Volume = {105},
3680 Year = {1984}}
3681
3682 @article{Budd1999,
3683 Abstract = {This paper examines a synthesis of adaptive mesh methods with the
3684 use of symmetry to study a partial differential equation. In particular,
3685 it considers methods which admit discrete self-similar solutions,
3686 examining the convergence of these to the true self-similar solution
3687 as well as their stability. Special attention is given to the nonlinear
3688 diffusion equation describing flow in a porous medium.},
3689 Annote = {199EE Times Cited:4 Cited References Count:14},
3690 Author = {C. J. Budd and G. J. Collins and W. Z. Huang and R. D. Russell},
3691 Issn = {1364-503X},
3692 Journal = {Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences},
3693 Month = {Apr 15},
3694 Number = {1754},
3695 Pages = {1047-1077},
3696 Title = {Self-similar numerical solutions of the porous-medium equation using moving mesh methods},
3697 Uri = {<Go to ISI>://000080466800005},
3698 Volume = {357},
3699 Year = {1999}}
3700
3701 @article{Camp1999,
3702 Abstract = {Fluids of hard bent-core molecules have been studied using theory
3703 and computer simulation. The molecules are composed of two hard
3704 spherocylinders, with length-to-breadth ratio L/D, joined by their
3705 ends at an angle 180 degrees - gamma. For L/D = 2 and gamma = 0,10,20
3706 degrees, the simulations show isotropic, nematic, smectic, and solid
3707 phases. For L/D = 2 and gamma = 30 degrees, only isotropic, nematic,
3708 and solid phases are in evidence, which suggests that there is a
3709 nematic-smectic-solid triple point at an angle in the range 20 degrees
3710 < gamma < 30 degrees. In all of the orientationally ordered fluid
3711 phases the order is purely uniaxial. For gamma = 10 degrees and
3712 20 degrees, at the studied densities, the solid is also uniaxially
3713 ordered, whilst for gamma = 30 degrees the solid layers are biaxially
3714 ordered. For L/D = 2 and gamma = 60 degrees and 90 degrees we find
3715 no spontaneous orientational ordering. This is shown to be due to
3716 the interlocking of dimer pairs which precludes alignment. We find
3717 similar results for L/D = 9.5 and gamma = 72 degrees, where an isotropic-biaxial
3718 nematic transition is predicted by Onsager theory. Simulations in
3719 the biaxial nematic phase show it to be at least mechanically stable
3720 with respect to the isotropic phase, however. We have compared the
3721 quasi-exact simulation results in the isotropic phase with the predicted
3722 equations of state from three theories: the virial expansion containing
3723 the second and third virial coefficients; the Parsons-Lee equation
3724 of state; an application of Wertheim's theory of associating fluids
3725 in the limit of infinite attractive association energy. For all
3726 of the molecule elongations and geometries we have simulated, the
3727 Wertheim theory proved to be the most accurate. Interestingly, the
3728 isotropic equation of state is virtually independent of the dimer
3729 bond angle-a feature that is also reflected in the lack of variation
3730 with angle of the calculated second and third virial coefficients.
3731 (C) 1999 American Institute of Physics. [S0021-9606(99)50445-5].},
3732 Annote = {255TC Times Cited:24 Cited References Count:38},
3733 Author = {P. J. Camp and M. P. Allen and A. J. Masters},
3734 Issn = {0021-9606},
3735 Journal = {Journal of Chemical Physics},
3736 Month = {Dec 1},
3737 Number = {21},
3738 Pages = {9871-9881},
3739 Title = {Theory and computer simulation of bent-core molecules},
3740 Uri = {<Go to ISI>://000083685400056},
3741 Volume = {111},
3742 Year = {1999}}
3743
3744 @article{Care2005,
3745 Abstract = {A review is presented of molecular and mesoscopic computer simulations
3746 of liquid crystalline systems. Molecular simulation approaches applied
3747 to such systems are described, and the key findings for bulk phase
3748 behaviour are reported. Following this, recently developed lattice
3749 Boltzmann approaches to the mesoscale modelling of nemato-dynanics
3750 are reviewed. This paper concludes with a discussion of possible
3751 areas for future development in this field.},
3752 Annote = {989TU Times Cited:2 Cited References Count:258},
3753 Author = {C. M. Care and D. J. Cleaver},
3754 Issn = {0034-4885},
3755 Journal = {Reports on Progress in Physics},
3756 Month = {Nov},
3757 Number = {11},
3758 Pages = {2665-2700},
3759 Title = {Computer simulation of liquid crystals},
3760 Uri = {<Go to ISI>://000233697600004},
3761 Volume = {68},
3762 Year = {2005}}
3763
3764 @article{Carrasco1999,
3765 Abstract = {The hydrodynamic properties of rigid particles are calculated from
3766 models composed of spherical elements (beads) using theories developed
3767 by Kirkwood, Bloomfield, and their coworkers. Bead models have usually
3768 been built in such a way that the beads fill the volume occupied
3769 by the particles. Sometimes the beads are few and of varying sizes
3770 (bead models in the strict sense), and other times there are many
3771 small beads (filling models). Because hydrodynamic friction takes
3772 place at the molecular surface, another possibility is to use shell
3773 models, as originally proposed by Bloomfield. In this work, we have
3774 developed procedures to build models of the various kinds, and we
3775 describe the theory and methods for calculating their hydrodynamic
3776 properties, including approximate methods that may be needed to
3777 treat models with a very large number of elements. By combining
3778 the various possibilities of model building and hydrodynamic calculation,
3779 several strategies can be designed. We have made a quantitative
3780 comparison of the performance of the various strategies by applying
3781 them to some test cases, for which the properties are known a priori.
3782 We provide guidelines and computational tools for bead modeling.},
3783 Annote = {200TT Times Cited:46 Cited References Count:57},
3784 Author = {B. Carrasco and J. G. {de la Torre}},
3785 Issn = {0006-3495},
3786 Journal = {Biophysical Journal},
3787 Month = {Jun},
3788 Number = {6},
3789 Pages = {3044-3057},
3790 Title = {Hydrodynamic properties of rigid particles: Comparison of different modeling and computational procedures},
3791 Uri = {<Go to ISI>://000080556700016},
3792 Volume = {76},
3793 Year = {1999}}
3794
3795 @article{Chandra1999,
3796 Abstract = {Dynamical properties of the soft sticky dipole (SSD) model of water
3797 are calculated by means of molecular dynamics simulations. Since
3798 this is not a simple point model, the forces and torques arising
3799 from the SSD potential are derived here. Simulations are carried
3800 out in the microcanonical ensemble employing the Ewald method for
3801 the electrostatic interactions. Various time correlation functions
3802 and dynamical quantities associated with the translational and rotational
3803 motion of water molecules are evaluated and compared with those
3804 of two other commonly used models of liquid water, namely the transferable
3805 intermolecular potential-three points (TIP3P) and simple point charge/extended
3806 (SPC/E) models, and also with experiments. The dynamical properties
3807 of the SSD water model are found to be in good agreement with the
3808 experimental results and appear to be better than the TIP3P and
3809 SPC/E models in most cases, as has been previously shown for its
3810 thermodynamic, structural, and dielectric properties. Also, molecular
3811 dynamics simulations of the SSD model are found to run much faster
3812 than TIP3P, SPC/E, and other multisite models. (C) 1999 American
3813 Institute of Physics. [S0021-9606(99)51430-X].},
3814 Annote = {221EN Times Cited:14 Cited References Count:66},
3815 Author = {A. Chandra and T. Ichiye},
3816 Issn = {0021-9606},
3817 Journal = {Journal of Chemical Physics},
3818 Month = {Aug 8},
3819 Number = {6},
3820 Pages = {2701-2709},
3821 Title = {Dynamical properties of the soft sticky dipole model of water: Molecular dynamics simulations},
3822 Uri = {<Go to ISI>://000081711200038},
3823 Volume = {111},
3824 Year = {1999}}
3825
3826 @article{Channell1990,
3827 Annote = {Dk631 Times Cited:152 Cited References Count:34},
3828 Author = {P. J. Channell and C. Scovel},
3829 Issn = {0951-7715},
3830 Journal = {Nonlinearity},
3831 Month = {may},
3832 Number = {2},
3833 Pages = {231-259},
3834 Title = {Symplectic Integration of Hamiltonian-Systems},
3835 Uri = {<Go to ISI>://A1990DK63100001},
3836 Volume = {3},
3837 Year = {1990}}
3838
3839 @article{Chen2003,
3840 Abstract = {We investigate the asymptotic behavior of systems of nonlinear differential
3841 equations and introduce a family of mixed methods from combinations
3842 of explicit Runge-Kutta methods. These methods have better stability
3843 behavior than traditional Runge-Kutta methods and generally extend
3844 the range of validity of the calculated solutions. These methods
3845 also give a way of determining if the numerical solutions are real
3846 or spurious. Emphasis is put on examples coming from mathematical
3847 models in ecology. (C) 2002 IMACS. Published by Elsevier Science
3848 B.V. All rights reserved.},
3849 Annote = {633ZD Times Cited:0 Cited References Count:9},
3850 Author = {B. Chen and F. Solis},
3851 Issn = {0168-9274},
3852 Journal = {Applied Numerical Mathematics},
3853 Month = {Jan},
3854 Number = {1-2},
3855 Pages = {21-30},
3856 Title = {Explicit mixed finite order Runge-Kutta methods},
3857 Uri = {<Go to ISI>://000180314200002},
3858 Volume = {44},
3859 Year = {2003}}
3860
3861 @article{Cheung2004,
3862 Abstract = {Equilibrium molecular dynamics calculations have been performed for
3863 the liquid crystal molecule n-4-(trans-4-n-pentylcyclohexyl)benzonitrile
3864 (PCH5) using a fully atomistic model. Simulation data have been
3865 obtained for a series of temperatures in the nematic phase. The
3866 simulation data have been used to calculate the flexoelectric coefficients
3867 e(s) and e(b) using the linear response formalism of Osipov and
3868 Nemtsov [M. A. Osipov and V. B. Nemtsov, Sov. Phys. Crstallogr.
3869 31, 125 (1986)]. The temperature and order parameter dependence
3870 of e(s) and e(b) are examined, as are separate contributions from
3871 different intermolecular interactions. Values of e(s) and e(b) calculated
3872 from simulation are consistent with those found from experiment.
3873 (C) 2004 American Institute of Physics.},
3874 Annote = {866UM Times Cited:4 Cited References Count:61},
3875 Author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
3876 Issn = {0021-9606},
3877 Journal = {Journal of Chemical Physics},
3878 Month = {Nov 8},
3879 Number = {18},
3880 Pages = {9131-9139},
3881 Title = {Calculation of flexoelectric coefficients for a nematic liquid crystal by atomistic simulation},
3882 Uri = {<Go to ISI>://000224798900053},
3883 Volume = {121},
3884 Year = {2004}}
3885
3886 @article{Cheung2002,
3887 Abstract = {Equilibrium molecular dynamics calculations have been performed for
3888 the liquid crystal molecule n-4-(trans-4-npentylcyclohexyl)benzonitrile
3889 (PCH5) using a fully atomistic model. Simulation data has been obtained
3890 for a series of temperatures in the nematic phase. The rotational
3891 viscosity co-efficient gamma(1), has been calculated using the angular
3892 velocity correlation function of the nematic director, n, the mean
3893 squared diffusion of n and statistical mechanical methods based
3894 on the rotational diffusion co-efficient. We find good agreement
3895 between the first two methods and experimental values. (C) 2002
3896 Published by Elsevier Science B.V.},
3897 Annote = {547KF Times Cited:8 Cited References Count:31},
3898 Author = {D. L. Cheung and S. J. Clark and M. R. Wilson},
3899 Issn = {0009-2614},
3900 Journal = {Chemical Physics Letters},
3901 Month = {Apr 15},
3902 Number = {1-2},
3903 Pages = {140-146},
3904 Title = {Calculation of the rotational viscosity of a nematic liquid crystal},
3905 Uri = {<Go to ISI>://000175331000020},
3906 Volume = {356},
3907 Year = {2002}}
3908
3909 @article{Chin2004,
3910 Abstract = {Current molecular dynamics simulations of biomolecules using multiple
3911 time steps to update the slowly changing force are hampered by instabilities
3912 beginning at time steps near the half period of the fastest vibrating
3913 mode. These #resonance# instabilities have became a critical barrier
3914 preventing the long time simulation of biomolecular dynamics. Attempts
3915 to tame these instabilities by altering the slowly changing force
3916 and efforts to damp them out by Langevin dynamics do not address
3917 the fundamental cause of these instabilities. In this work, we trace
3918 the instability to the nonanalytic character of the underlying spectrum
3919 and show that a correct splitting of the Hamiltonian, which renders
3920 the spectrum analytic, restores stability. The resulting Hamiltonian
3921 dictates that in addition to updating the momentum due to the slowly
3922 changing force, one must also update the position with a modified
3923 mass. Thus multiple-time stepping must be done dynamically. (C)
3924 2004 American Institute of Physics.},
3925 Annote = {757TK Times Cited:1 Cited References Count:22},
3926 Author = {S. A. Chin},
3927 Issn = {0021-9606},
3928 Journal = {Journal of Chemical Physics},
3929 Month = {Jan 1},
3930 Number = {1},
3931 Pages = {8-13},
3932 Title = {Dynamical multiple-time stepping methods for overcoming resonance instabilities},
3933 Uri = {<Go to ISI>://000187577400003},
3934 Volume = {120},
3935 Year = {2004}}
3936
3937 @article{Cook2000,
3938 Abstract = {The Kirkwood correlation factor g(1) determines the preference for
3939 local parallel or antiparallel dipole association in the isotropic
3940 phase. Calamitic mesogens with longitudinal dipole moments and Kirkwood
3941 factors greater than 1 have an enhanced effective dipole moment
3942 along the molecular long axis. This leads to higher values of Delta
3943 epsilon in the nematic phase. This paper describes state-of-the-art
3944 molecular dynamics simulations of two calamitic mesogens 4-(trans-4-n-pentylcyclohexyl)benzonitrile
3945 (PCH5) and 4-(trans-4-n-pentylcyclohexyl) chlorobenzene (PCH5-Cl)
3946 in the isotropic liquid phase using an all-atom force field and
3947 taking long range electrostatics into account using an Ewald summation.
3948 Using this methodology, PCH5 is seen to prefer antiparallel dipole
3949 alignment with a negative g(1) and PCH5-Cl is seen to prefer parallel
3950 dipole alignment with a positive g(1); this is in accordance with
3951 experimental dielectric measurements. Analysis of the molecular
3952 dynamics trajectories allows an assessment of why these molecules
3953 behave differently.},
3954 Annote = {376BF Times Cited:10 Cited References Count:16},
3955 Author = {M. J. Cook and M. R. Wilson},
3956 Issn = {0267-8292},
3957 Journal = {Liquid Crystals},
3958 Month = {Dec},
3959 Number = {12},
3960 Pages = {1573-1583},
3961 Title = {Simulation studies of dipole correlation in the isotropic liquid phase},
3962 Uri = {<Go to ISI>://000165437800002},
3963 Volume = {27},
3964 Year = {2000}}
3965
3966 @article{Cui2003,
3967 Abstract = {All-atom Langevin dynamics simulations have been performed to study
3968 the folding pathways of the 18-residue binding domain fragment E6ap
3969 of the human papillomavirus E6 interacting peptide. Six independent
3970 folding trajectories, with a total duration of nearly 2 mus, all
3971 lead to the same native state in which the E6ap adopts a fluctuating
3972 a-helix structure in the central portion (Ser-4-Leu-13) but with
3973 very flexible N and C termini. Simulations starting from different
3974 core configurations exhibit the E6ap folding dynamics as either
3975 a two- or three-state folder with an intermediate misfolded state.
3976 The essential leucine hydrophobic core (Leu-9, Leu-12, and Leu-13)
3977 is well conserved in the native-state structure but absent in the
3978 intermediate structure, suggesting that the leucine core is not
3979 only essential for the binding activity of E6ap but also important
3980 for the stability of the native structure. The free energy landscape
3981 reveals a significant barrier between the basins separating the
3982 native and misfolded states. We also discuss the various underlying
3983 forces that drive the peptide into its native state.},
3984 Annote = {689LC Times Cited:3 Cited References Count:48},
3985 Author = {B. X. Cui and M. Y. Shen and K. F. Freed},
3986 Issn = {0027-8424},
3987 Journal = {Proceedings of the National Academy of Sciences of the United States of America},
3988 Month = {Jun 10},
3989 Number = {12},
3990 Pages = {7087-7092},
3991 Title = {Folding and misfolding of the papillomavirus E6 interacting peptide E6ap},
3992 Uri = {<Go to ISI>://000183493500037},
3993 Volume = {100},
3994 Year = {2003}}
3995
3996 @article{Denisov2003,
3997 Abstract = {We study the slow phase of thermally activated magnetic relaxation
3998 in finite two-dimensional ensembles of dipolar interacting ferromagnetic
3999 nanoparticles whose easy axes of magnetization are perpendicular
4000 to the distribution plane. We develop a method to numerically simulate
4001 the magnetic relaxation for the case that the smallest heights of
4002 the potential barriers between the equilibrium directions of the
4003 nanoparticle magnetic moments are much larger than the thermal energy.
4004 Within this framework, we analyze in detail the role that the correlations
4005 of the nanoparticle magnetic moments and the finite size of the
4006 nanoparticle ensemble play in magnetic relaxation.},
4007 Annote = {642XH Times Cited:11 Cited References Count:31},
4008 Author = {S. I. Denisov and T. V. Lyutyy and K. N. Trohidou},
4009 Issn = {1098-0121},
4010 Journal = {Physical Review B},
4011 Month = {Jan 1},
4012 Number = {1},
4013 Pages = {-},
4014 Title = {Magnetic relaxation in finite two-dimensional nanoparticle ensembles},
4015 Uri = {<Go to ISI>://000180830400056},
4016 Volume = {67},
4017 Year = {2003}}
4018
4019 @article{Derreumaux1998,
4020 Abstract = {To explore the origin of the large-scale motion of triosephosphate
4021 isomerase's flexible loop (residues 166 to 176) at the active site,
4022 several simulation protocols are employed both for the free enzyme
4023 in vacuo and for the free enzyme with some solvent modeling: high-temperature
4024 Langevin dynamics simulations, sampling by a #dynamics##driver#
4025 approach, and potential-energy surface calculations. Our focus is
4026 on obtaining the energy barrier to the enzyme's motion and establishing
4027 the nature of the loop movement. Previous calculations did not determine
4028 this energy barrier and the effect of solvent on the barrier. High-temperature
4029 molecular dynamics simulations and crystallographic studies have
4030 suggested a rigid-body motion with two hinges located at both ends
4031 of the loop; Brownian dynamics simulations at room temperature pointed
4032 to a very flexible behavior. The present simulations and analyses
4033 reveal that although solute/solvent hydrogen bonds play a crucial
4034 role in lowering the energy along the pathway, there still remains
4035 a high activation barrier, This finding clearly indicates that,
4036 if the loop opens and closes in the absence of a substrate at standard
4037 conditions (e.g., room temperature, appropriate concentration of
4038 isomerase), the time scale for transition is not in the nanosecond
4039 but rather the microsecond range. Our results also indicate that
4040 in the context of spontaneous opening in the free enzyme, the motion
4041 is of rigid-body type and that the specific interaction between
4042 residues Ala(176) and Tyr(208) plays a crucial role in the loop
4043 opening/closing mechanism.},
4044 Annote = {Zl046 Times Cited:30 Cited References Count:29},
4045 Author = {P. Derreumaux and T. Schlick},
4046 Issn = {0006-3495},
4047 Journal = {Biophysical Journal},
4048 Month = {Jan},
4049 Number = {1},
4050 Pages = {72-81},
4051 Title = {The loop opening/closing motion of the enzyme triosephosphate isomerase},
4052 Uri = {<Go to ISI>://000073393400009},
4053 Volume = {74},
4054 Year = {1998}}
4055
4056 @article{Dullweber1997,
4057 Abstract = {Rigid body molecular models possess symplectic structure and time-reversal
4058 symmetry. Standard numerical integration methods destroy both properties,
4059 introducing nonphysical dynamical behavior such as numerically induced
4060 dissipative states and drift in the energy during long term simulations.
4061 This article describes the construction, implementation, and practical
4062 application of fast explicit symplectic-reversible integrators for
4063 multiple rigid body molecular simulations, These methods use a reduction
4064 to Euler equations for the free rigid body, together with a symplectic
4065 splitting technique. In every time step, the orientational dynamics
4066 of each rigid body is integrated by a sequence of planar rotations.
4067 Besides preserving the symplectic and reversible structures of the
4068 flow, this scheme accurately conserves the total angular momentum
4069 of a system of interacting rigid bodies. Excellent energy conservation
4070 fan be obtained relative to traditional methods, especially in long-time
4071 simulations. The method is implemented in a research code, ORIENT
4072 and compared with a quaternion/extrapolation scheme for the TIP4P
4073 model of water. Our experiments show that the symplectic-reversible
4074 scheme is far superior to the more traditional quaternion method.
4075 (C) 1997 American Institute of Physics.},
4076 Annote = {Ya587 Times Cited:35 Cited References Count:32},
4077 Author = {A. Dullweber and B. Leimkuhler and R. McLachlan},
4078 Issn = {0021-9606},
4079 Journal = {Journal of Chemical Physics},
4080 Month = {Oct 15},
4081 Number = {15},
4082 Pages = {5840-5851},
4083 Title = {Symplectic splitting methods for rigid body molecular dynamics},
4084 Uri = {<Go to ISI>://A1997YA58700024},
4085 Volume = {107},
4086 Year = {1997}}
4087
4088 @book{Gamma1994,
4089 Address = {London},
4090 Author = {E. Gamma, R. Helm, R. Johnson and J. Vlissides},
4091 Chapter = {7},
4092 Publisher = {Perason Education},
4093 Title = {Design Patterns: Elements of Reusable Object-Oriented Software},
4094 Year = {1994}}
4095
4096 @article{Edwards2005,
4097 Abstract = {Using the Langevin dynamics technique, we have carried out simulations
4098 of a single-chain flexible diblock copolymer. The polymer consists
4099 of two blocks of equal length, one very poorly solvated and the
4100 other close to theta-conditions. We study what happens when such
4101 a polymer is stretched, for a range of different stretching speeds,
4102 and correlate our observations with features in the plot of force
4103 vs extension. We find that at slow speeds this force profile does
4104 not increase monotonically, in disagreement with earlier predictions,
4105 and that at high speeds there is a strong dependence on which end
4106 of the polymer is pulled, as well as a high level of hysteresis.},
4107 Annote = {992EC Times Cited:0 Cited References Count:13},
4108 Author = {S. A. Edwards and D. R. M. Williams},
4109 Issn = {0024-9297},
4110 Journal = {Macromolecules},
4111 Month = {Dec 13},
4112 Number = {25},
4113 Pages = {10590-10595},
4114 Title = {Stretching a single diblock copolymer in a selective solvent: Langevin dynamics simulations},
4115 Uri = {<Go to ISI>://000233866200035},
4116 Volume = {38},
4117 Year = {2005}}
4118
4119 @article{Egberts1988,
4120 Annote = {Q0188 Times Cited:219 Cited References Count:43},
4121 Author = {E. Egberts and H. J. C. Berendsen},
4122 Issn = {0021-9606},
4123 Journal = {Journal of Chemical Physics},
4124 Month = {Sep 15},
4125 Number = {6},
4126 Pages = {3718-3732},
4127 Title = {Molecular-Dynamics Simulation of a Smectic Liquid-Crystal with Atomic Detail},
4128 Uri = {<Go to ISI>://A1988Q018800036},
4129 Volume = {89},
4130 Year = {1988}}
4131
4132 @article{Ermak1978,
4133 Annote = {Fp216 Times Cited:785 Cited References Count:42},
4134 Author = {D. L. Ermak and J. A. Mccammon},
4135 Issn = {0021-9606},
4136 Journal = {Journal of Chemical Physics},
4137 Number = {4},
4138 Pages = {1352-1360},
4139 Title = {Brownian Dynamics with Hydrodynamic Interactions},
4140 Uri = {<Go to ISI>://A1978FP21600004},
4141 Volume = {69},
4142 Year = {1978}}
4143
4144 @article{Evans1977,
4145 Annote = {Ds757 Times Cited:271 Cited References Count:18},
4146 Author = {D. J. Evans},
4147 Issn = {0026-8976},
4148 Journal = {Molecular Physics},
4149 Number = {2},
4150 Pages = {317-325},
4151 Title = {Representation of Orientation Space},
4152 Uri = {<Go to ISI>://A1977DS75700002},
4153 Volume = {34},
4154 Year = {1977}}
4155
4156 @article{Fennell2004,
4157 Abstract = {The density maximum and temperature dependence of the self-diffusion
4158 constant were investigated for the soft sticky dipole (SSD) water
4159 model and two related reparametrizations of this single-point model.
4160 A combination of microcanonical and isobaric-isothermal molecular
4161 dynamics simulations was used to calculate these properties, both
4162 with and without the use of reaction field to handle long-range
4163 electrostatics. The isobaric-isothermal simulations of the melting
4164 of both ice-I-h and ice-I-c showed a density maximum near 260 K.
4165 In most cases, the use of the reaction field resulted in calculated
4166 densities which were significantly lower than experimental densities.
4167 Analysis of self-diffusion constants shows that the original SSD
4168 model captures the transport properties of experimental water very
4169 well in both the normal and supercooled liquid regimes. We also
4170 present our reparametrized versions of SSD for use both with the
4171 reaction field or without any long-range electrostatic corrections.
4172 These are called the SSD/RF and SSD/E models, respectively. These
4173 modified models were shown to maintain or improve upon the experimental
4174 agreement with the structural and transport properties that can
4175 be obtained with either the original SSD or the density-corrected
4176 version of the original model (SSD1). Additionally, a novel low-density
4177 ice structure is presented which appears to be the most stable ice
4178 structure for the entire SSD family. (C) 2004 American Institute
4179 of Physics.},
4180 Annote = {816YY Times Cited:5 Cited References Count:39},
4181 Author = {C. J. Fennell and J. D. Gezelter},
4182 Issn = {0021-9606},
4183 Journal = {Journal of Chemical Physics},
4184 Month = {May 15},
4185 Number = {19},
4186 Pages = {9175-9184},
4187 Title = {On the structural and transport properties of the soft sticky dipole and related single-point water models},
4188 Uri = {<Go to ISI>://000221146400032},
4189 Volume = {120},
4190 Year = {2004}}
4191
4192 @article{Fernandes2002,
4193 Abstract = {We have developed a Brownian dynamics simulation algorithm to generate
4194 Brownian trajectories of an isolated, rigid particle of arbitrary
4195 shape in the presence of electric fields or any other external agents.
4196 Starting from the generalized diffusion tensor, which can be calculated
4197 with the existing HYDRO software, the new program BROWNRIG (including
4198 a case-specific subprogram for the external agent) carries out a
4199 simulation that is analyzed later to extract the observable dynamic
4200 properties. We provide a variety of examples of utilization of this
4201 method, which serve as tests of its performance, and also illustrate
4202 its applicability. Examples include free diffusion, transport in
4203 an electric field, and diffusion in a restricting environment.},
4204 Annote = {633AD Times Cited:2 Cited References Count:43},
4205 Author = {M. X. Fernandes and J. G. {de la Torre}},
4206 Issn = {0006-3495},
4207 Journal = {Biophysical Journal},
4208 Month = {Dec},
4209 Number = {6},
4210 Pages = {3039-3048},
4211 Title = {Brownian dynamics simulation of rigid particles of arbitrary shape in external fields},
4212 Uri = {<Go to ISI>://000180256300012},
4213 Volume = {83},
4214 Year = {2002}}
4215
4216 @book{Frenkel1996,
4217 Address = {New York},
4218 Author = {D. Frenkel and B. Smit},
4219 Publisher = {Academic Press},
4220 Title = {Understanding Molecular Simulation : From Algorithms to Applications},
4221 Year = {1996}}
4222
4223 @article{Gay1981,
4224 Annote = {Lj347 Times Cited:482 Cited References Count:13},
4225 Author = {J. G. Gay and B. J. Berne},
4226 Issn = {0021-9606},
4227 Journal = {Journal of Chemical Physics},
4228 Number = {6},
4229 Pages = {3316-3319},
4230 Title = {Modification of the Overlap Potential to Mimic a Linear Site-Site Potential},
4231 Uri = {<Go to ISI>://A1981LJ34700029},
4232 Volume = {74},
4233 Year = {1981}}
4234
4235 @article{Gelin1999,
4236 Abstract = {To investigate the influence of inertial effects on the dynamics of
4237 an assembly of beads subjected to rigid constraints and placed in
4238 a buffer medium, a convenient method to introduce suitable generalized
4239 coordinates is presented. Without any restriction on the nature
4240 of the soft forces involved (both stochastic and deterministic),
4241 pertinent Langevin equations are derived. Provided that the Brownian
4242 forces are Gaussian and Markovian, the corresponding Fokker-Planck
4243 equation (FPE) is obtained in the complete phase space of generalized
4244 coordinates and momenta. The correct short time behavior for correlation
4245 functions (CFs) of generalized coordinates is established, and the
4246 diffusion equation with memory (DEM) is deduced from the FPE in
4247 the high friction Limit. The DEM is invoked to perform illustrative
4248 calculations in two dimensions of the orientational CFs for once
4249 broken nonrigid rods immobilized on a surface. These calculations
4250 reveal that the CFs under certain conditions exhibit an oscillatory
4251 behavior, which is irreproducible within the standard diffusion
4252 equation. Several methods are considered for the approximate solution
4253 of the DEM, and their application to three dimensional DEMs is discussed.},
4254 Annote = {257MM Times Cited:2 Cited References Count:82},
4255 Author = {M. F. Gelin},
4256 Issn = {1022-1344},
4257 Journal = {Macromolecular Theory and Simulations},
4258 Month = {Nov},
4259 Number = {6},
4260 Pages = {529-543},
4261 Title = {Inertial effects in the Brownian dynamics with rigid constraints},
4262 Uri = {<Go to ISI>://000083785700002},
4263 Volume = {8},
4264 Year = {1999}}
4265
4266 @article{Goetz1998,
4267 Author = {R. Goetz and R. Lipowsky},
4268 Journal = {Journal of Chemical Physics},
4269 Number = {17},
4270 Pages = {7397},
4271 Title = {Computer simulations of bilayer membranes: Self-assembly and interfacial tension},
4272 Volume = {108},
4273 Year = {1998}}
4274
4275 @book{Goldstein2001,
4276 Address = {San Francisco},
4277 Author = {H. Goldstein and C. Poole and J. Safko},
4278 Edition = {3rd},
4279 Publisher = {Addison Wesley},
4280 Title = {Classical Mechanics},
4281 Year = {2001}}
4282
4283 @article{Gray2003,
4284 Abstract = {Protein-protein docking algorithms provide a means to elucidate structural
4285 details for presently unknown complexes. Here, we present and evaluate
4286 a new method to predict protein-protein complexes from the coordinates
4287 of the unbound monomer components. The method employs a low-resolution,
4288 rigid-body, Monte Carlo search followed by simultaneous optimization
4289 of backbone displacement and side-chain conformations using Monte
4290 Carlo minimization. Up to 10(5) independent simulations are carried
4291 out, and the resulting #decoys# are ranked using an energy function
4292 dominated by van der Waals interactions, an implicit solvation model,
4293 and an orientation-dependent hydrogen bonding potential. Top-ranking
4294 decoys are clustered to select the final predictions. Small-perturbation
4295 studies reveal the formation of binding funnels in 42 of 54 cases
4296 using coordinates derived from the bound complexes and in 32 of
4297 54 cases using independently determined coordinates of one or both
4298 monomers. Experimental binding affinities correlate with the calculated
4299 score function and explain the predictive success or failure of
4300 many targets. Global searches using one or both unbound components
4301 predict at least 25% of the native residue-residue contacts in 28
4302 of the 32 cases where binding funnels exist. The results suggest
4303 that the method may soon be useful for generating models of biologically
4304 important complexes from the structures of the isolated components,
4305 but they also highlight the challenges that must be met to achieve
4306 consistent and accurate prediction of protein-protein interactions.
4307 (C) 2003 Elsevier Ltd. All rights reserved.},
4308 Annote = {704QL Times Cited:48 Cited References Count:60},
4309 Author = {J. J. Gray and S. Moughon and C. Wang and O. Schueler-Furman and B. Kuhlman and C. A. Rohl and D. Baker},
4310 Issn = {0022-2836},
4311 Journal = {Journal of Molecular Biology},
4312 Month = {Aug 1},
4313 Number = {1},
4314 Pages = {281-299},
4315 Title = {Protein-protein docking with simultaneous optimization of rigid-body displacement and side-chain conformations},
4316 Uri = {<Go to ISI>://000184351300022},
4317 Volume = {331},
4318 Year = {2003}}
4319
4320 @article{Greengard1994,
4321 Abstract = {Some of the recently developed fast summation methods that have arisen
4322 in scientific computing are described. These methods require an
4323 amount of work proportional to N or N log N to evaluate all pairwise
4324 interactions in an ensemble of N particles. Traditional methods,
4325 by contrast, require an amount of work proportional to N-2. AS a
4326 result, large-scale simulations can be carried out using only modest
4327 computer resources. In combination with supercomputers, it is possible
4328 to address questions that were previously out of reach. Problems
4329 from diffusion, gravitation, and wave propagation are considered.},
4330 Annote = {Pb499 Times Cited:99 Cited References Count:44},
4331 Author = {L. Greengard},
4332 Issn = {0036-8075},
4333 Journal = {Science},
4334 Month = {Aug 12},
4335 Number = {5174},
4336 Pages = {909-914},
4337 Title = {Fast Algorithms for Classical Physics},
4338 Uri = {<Go to ISI>://A1994PB49900031},
4339 Volume = {265},
4340 Year = {1994}}
4341
4342 @article{Greengard1987,
4343 Annote = {L0498 Times Cited:899 Cited References Count:7},
4344 Author = {L. Greengard and V. Rokhlin},
4345 Issn = {0021-9991},
4346 Journal = {Journal of Computational Physics},
4347 Month = {Dec},
4348 Number = {2},
4349 Pages = {325-348},
4350 Title = {A Fast Algorithm for Particle Simulations},
4351 Uri = {<Go to ISI>://A1987L049800006},
4352 Volume = {73},
4353 Year = {1987}}
4354
4355 @article{Hairer1997,
4356 Abstract = {Backward error analysis is a useful tool for the study of numerical
4357 approximations to ordinary differential equations. The numerical
4358 solution is formally interpreted as the exact solution of a perturbed
4359 differential equation, given as a formal and usually divergent series
4360 in powers of the step size. For a rigorous analysis, this series
4361 has to be truncated. In this article we study the influence of this
4362 truncation to the difference between the numerical solution and
4363 the exact solution of the perturbed differential equation. Results
4364 on the long-time behaviour of numerical solutions are obtained in
4365 this way. We present applications to the numerical phase portrait
4366 near hyperbolic equilibrium points, to asymptotically stable periodic
4367 orbits and Hopf bifurcation, and to energy conservation and approximation
4368 of invariant tori in Hamiltonian systems.},
4369 Annote = {Xj488 Times Cited:50 Cited References Count:19},
4370 Author = {E. Hairer and C. Lubich},
4371 Issn = {0029-599X},
4372 Journal = {Numerische Mathematik},
4373 Month = {Jun},
4374 Number = {4},
4375 Pages = {441-462},
4376 Title = {The life-span of backward error analysis for numerical integrators},
4377 Uri = {<Go to ISI>://A1997XJ48800002},
4378 Volume = {76},
4379 Year = {1997}}
4380
4381 @article{Hao1993,
4382 Abstract = {A new procedure for studying the folding and unfolding of proteins,
4383 with an application to bovine pancreatic trypsin inhibitor (BPTI),
4384 is reported. The unfolding and refolding of the native structure
4385 of the protein are characterized by the dimensions of the protein,
4386 expressed in terms of the three principal radii of the structure
4387 considered as an ellipsoid. A dynamic equation, describing the variations
4388 of the principal radii on the unfolding path, and a numerical procedure
4389 to solve this equation are proposed. Expanded and distorted conformations
4390 are refolded to the native structure by a dimensional-constraint
4391 energy minimization procedure. A unique and reproducible unfolding
4392 pathway for an intermediate of BPTI lacking the [30,51] disulfide
4393 bond is obtained. The resulting unfolded conformations are extended;
4394 they contain near-native local structure, but their longest principal
4395 radii are more than 2.5 times greater than that of the native structure.
4396 The most interesting finding is that the majority of expanded conformations,
4397 generated under various conditions, can be refolded closely to the
4398 native structure, as measured by the correct overall chain fold,
4399 by the rms deviations from the native structure of only 1.9-3.1
4400 angstrom, and by the energy differences of about 10 kcal/mol from
4401 the native structure. Introduction of the [30,51] disulfide bond
4402 at this stage, followed by minimization, improves the closeness
4403 of the refolded structures to the native structure, reducing the
4404 rms deviations to 0.9-2.0 angstrom. The unique refolding of these
4405 expanded structures over such a large conformational space implies
4406 that the folding is strongly dictated by the interactions in the
4407 amino acid sequence of BPTI. The simulations indicate that, under
4408 conditions that favor a compact structure as mimicked by the volume
4409 constraints in our algorithm; the expanded conformations have a
4410 strong tendency to move toward the native structure; therefore,
4411 they probably would be favorable folding intermediates. The results
4412 presented here support a general model for protein folding, i.e.,
4413 progressive formation of partially folded structural units, followed
4414 by collapse to the compact native structure. The general applicability
4415 of the procedure is also discussed.},
4416 Annote = {Ly294 Times Cited:27 Cited References Count:57},
4417 Author = {M. H. Hao and M. R. Pincus and S. Rackovsky and H. A. Scheraga},
4418 Issn = {0006-2960},
4419 Journal = {Biochemistry},
4420 Month = {Sep 21},
4421 Number = {37},
4422 Pages = {9614-9631},
4423 Title = {Unfolding and Refolding of the Native Structure of Bovine Pancreatic Trypsin-Inhibitor Studied by Computer-Simulations},
4424 Uri = {<Go to ISI>://A1993LY29400014},
4425 Volume = {32},
4426 Year = {1993}}
4427
4428 @article{Hinsen2000,
4429 Abstract = {The slow dynamics of proteins around its native folded state is usually
4430 described by diffusion in a strongly anharmonic potential. In this
4431 paper, we try to understand the form and origin of the anharmonicities,
4432 with the principal aim of gaining a better understanding of the
4433 principal motion types, but also in order to develop more efficient
4434 numerical methods for simulating neutron scattering spectra of large
4435 proteins. First, we decompose a molecular dynamics (MD) trajectory
4436 of 1.5 ns for a C-phycocyanin dimer surrounded by a layer of water
4437 into three contributions that we expect to be independent: the global
4438 motion of the residues, the rigid-body motion of the sidechains
4439 relative to the backbone, and the internal deformations of the sidechains.
4440 We show that they are indeed almost independent by verifying the
4441 factorization of the incoherent intermediate scattering function.
4442 Then, we show that the global residue motions, which include all
4443 large-scale backbone motions, can be reproduced by a simple harmonic
4444 model which contains two contributions: a short-time vibrational
4445 term, described by a standard normal mode calculation in a local
4446 minimum, and a long-time diffusive term, described by Brownian motion
4447 in an effective harmonic potential. The potential and the friction
4448 constants were fitted to the MD data. The major anharmonic contribution
4449 to the incoherent intermediate scattering function comes from the
4450 rigid-body diffusion of the sidechains. This model can be used to
4451 calculate scattering functions for large proteins and for long-time
4452 scales very efficiently, and thus provides a useful complement to
4453 MD simulations, which are best suited for detailed studies on smaller
4454 systems or for shorter time scales. (C) 2000 Elsevier Science B.V.
4455 All rights reserved.},
4456 Annote = {Sp. Iss. SI 368MT Times Cited:16 Cited References Count:31},
4457 Author = {K. Hinsen and A. J. Petrescu and S. Dellerue and M. C. Bellissent-Funel and G. R. Kneller},
4458 Issn = {0301-0104},
4459 Journal = {Chemical Physics},
4460 Month = {Nov 1},
4461 Number = {1-2},
4462 Pages = {25-37},
4463 Title = {Harmonicity in slow protein dynamics},
4464 Uri = {<Go to ISI>://000090121700003},
4465 Volume = {261},
4466 Year = {2000}}
4467
4468 @article{Ho1992,
4469 Abstract = {Evidence has been found for the existence water at the protein-lipid
4470 hydrophobic interface ot the membrane proteins, gramicidin and apocytochrome
4471 C, using two related fluorescence spectroscopic approaches. The
4472 first approach exploited the fact that the presence of water in
4473 the excited state solvent cage of a fluorophore increases the rate
4474 of decay. For 1,6-diphenyl-1,3,5-hexatriene (DPH) and 1-palmitoyl-2-[[2-[4-(6-phenyl-trans-1,3,5-hexatrienyl)
4475 phenyl]ethyl]carbonyl]-3-sn-PC (DPH-PC), where the fluorophores
4476 are located in the hydrophobic core of the lipid bilayer, the introduction
4477 of gramicidin reduced the fluorescence lifetime, indicative of an
4478 increased presence of water in the bilayer. Since a high protein:lipid
4479 ratio was used, the fluorophores were forced to be adjacent to the
4480 protein hydrophobic surface, hence the presence of water in this
4481 region could be inferred. Cholesterol is known to reduce the water
4482 content of lipid bilayers and this effect was maintained at the
4483 protein-lipid interface with both gramicidin and apocytochrome C,
4484 again suggesting hydration in this region. The second approach was
4485 to use the fluorescence enhancement induced by exchanging deuterium
4486 oxide (D2O) for H2O. Both the fluorescence intensities of trimethylammonium-DPH,
4487 located in the lipid head group region, and of the gramicidin intrinsic
4488 tryptophans were greater in a D2O buffer compared with H2O, showing
4489 that the fluorophores were exposed to water in the bilayer at the
4490 protein-lipid interface. In the presence of cholesterol the fluorescence
4491 intensity ratio of D2O to H2O decreased, indicating a removal of
4492 water by the cholesterol, in keeping with the lifetime data. Altered
4493 hydration at the protein-lipid interface could affect conformation,
4494 thereby offering a new route by which membrane protein functioning
4495 may be modified.},
4496 Annote = {Ju251 Times Cited:55 Cited References Count:44},
4497 Author = {C. Ho and C. D. Stubbs},
4498 Issn = {0006-3495},
4499 Journal = {Biophysical Journal},
4500 Month = {Oct},
4501 Number = {4},
4502 Pages = {897-902},
4503 Title = {Hydration at the Membrane Protein-Lipid Interface},
4504 Uri = {<Go to ISI>://A1992JU25100002},
4505 Volume = {63},
4506 Year = {1992}}
4507
4508 @book{Hockney1981,
4509 Address = {New York},
4510 Author = {R.W. Hockney and J.W. Eastwood},
4511 Publisher = {McGraw-Hill},
4512 Title = {Computer Simulation Using Particles},
4513 Year = {1981}}
4514
4515 @article{Hoover1985,
4516 Annote = {Acr30 Times Cited:1809 Cited References Count:11},
4517 Author = {W. G. Hoover},
4518 Issn = {1050-2947},
4519 Journal = {Physical Review A},
4520 Number = {3},
4521 Pages = {1695-1697},
4522 Title = {Canonical Dynamics - Equilibrium Phase-Space Distributions},
4523 Uri = {<Go to ISI>://A1985ACR3000056},
4524 Volume = {31},
4525 Year = {1985}}
4526
4527 @article{Huh2004,
4528 Abstract = {Racemic fluids of chiral calamitic molecules are investigated with
4529 molecular dynamics simulations. In particular, the phase behavior
4530 as a function of density is examined for eight racemates. The relationship
4531 between chiral discrimination and orientational order in the phase
4532 is explored. We find that the transition from the isotropic phase
4533 to a liquid crystal phase is accompanied by an increase in chiral
4534 discrimination, as measured by differences in radial distributions.
4535 Among ordered phases, discrimination is largest for smectic phases
4536 with a significant preference for heterochiral contact within the
4537 layers. (C) 2004 American Institute of Physics.},
4538 Annote = {870FJ Times Cited:0 Cited References Count:63},
4539 Author = {Y. Huh and N. M. Cann},
4540 Issn = {0021-9606},
4541 Journal = {Journal of Chemical Physics},
4542 Month = {Nov 22},
4543 Number = {20},
4544 Pages = {10299-10308},
4545 Title = {Discrimination in isotropic, nematic, and smectic phases of chiral calamitic molecules: A computer simulation study},
4546 Uri = {<Go to ISI>://000225042700059},
4547 Volume = {121},
4548 Year = {2004}}
4549
4550 @article{Humphrey1996,
4551 Abstract = {VMD is a molecular graphics program designed for the display and analysis
4552 of molecular assemblies, in particular biopolymers such as proteins
4553 and nucleic acids. VMD can simultaneously display any number of
4554 structures using a wide variety of rendering styles and coloring
4555 methods. Molecules are displayed as one or more ''representations,''
4556 in which each representation embodies a particular rendering method
4557 and coloring scheme for a selected subset of atoms. The atoms displayed
4558 in each representation are chosen using an extensive atom selection
4559 syntax, which includes Boolean operators and regular expressions.
4560 VMD provides a complete graphical user interface for program control,
4561 as well as a text interface using the Tcl embeddable parser to allow
4562 for complex scripts with variable substitution, control loops, and
4563 function calls. Full session logging is supported, which produces
4564 a VMD command script for later playback. High-resolution raster
4565 images of displayed molecules may be produced by generating input
4566 scripts for use by a number of photorealistic image-rendering applications.
4567 VMD has also been expressly designed with the ability to animate
4568 molecular dynamics (MD) simulation trajectories, imported either
4569 from files or from a direct connection to a running MD simulation.
4570 VMD is the visualization component of MDScope, a set of tools for
4571 interactive problem solving in structural biology, which also includes
4572 the parallel MD program NAMD, and the MDCOMM software used to connect
4573 the visualization and simulation programs. VMD is written in C++,
4574 using an object-oriented design; the program, including source code
4575 and extensive documentation, is freely available via anonymous ftp
4576 and through the World Wide Web.},
4577 Annote = {Uh515 Times Cited:1418 Cited References Count:19},
4578 Author = {W. Humphrey and A. Dalke and K. Schulten},
4579 Issn = {0263-7855},
4580 Journal = {Journal of Molecular Graphics},
4581 Month = {Feb},
4582 Number = {1},
4583 Pages = {33-\&},
4584 Title = {VMD: Visual molecular dynamics},
4585 Uri = {<Go to ISI>://A1996UH51500005},
4586 Volume = {14},
4587 Year = {1996}}
4588
4589 @article{Izaguirre2001,
4590 Abstract = {In this paper we show the possibility of using very mild stochastic
4591 damping to stabilize long time step integrators for Newtonian molecular
4592 dynamics. More specifically, stable and accurate integrations are
4593 obtained for damping coefficients that are only a few percent of
4594 the natural decay rate of processes of interest, such as the velocity
4595 autocorrelation function. Two new multiple time stepping integrators,
4596 Langevin Molly (LM) and Brunger-Brooks-Karplus-Molly (BBK-M), are
4597 introduced in this paper. Both use the mollified impulse method
4598 for the Newtonian term. LM uses a discretization of the Langevin
4599 equation that is exact for the constant force, and BBK-M uses the
4600 popular Brunger-Brooks-Karplus integrator (BBK). These integrators,
4601 along with an extrapolative method called LN, are evaluated across
4602 a wide range of damping coefficient values. When large damping coefficients
4603 are used, as one would for the implicit modeling of solvent molecules,
4604 the method LN is superior, with LM closely following. However, with
4605 mild damping of 0.2 ps(-1), LM produces the best results, allowing
4606 long time steps of 14 fs in simulations containing explicitly modeled
4607 flexible water. With BBK-M and the same damping coefficient, time
4608 steps of 12 fs are possible for the same system. Similar results
4609 are obtained for a solvated protein-DNA simulation of estrogen receptor
4610 ER with estrogen response element ERE. A parallel version of BBK-M
4611 runs nearly three times faster than the Verlet-I/r-RESPA (reversible
4612 reference system propagator algorithm) when using the largest stable
4613 time step on each one, and it also parallelizes well. The computation
4614 of diffusion coefficients for flexible water and ER/ERE shows that
4615 when mild damping of up to 0.2 ps-1 is used the dynamics are not
4616 significantly distorted. (C) 2001 American Institute of Physics.},
4617 Annote = {397CQ Times Cited:14 Cited References Count:36},
4618 Author = {J. A. Izaguirre and D. P. Catarello and J. M. Wozniak and R. D. Skeel},
4619 Issn = {0021-9606},
4620 Journal = {Journal of Chemical Physics},
4621 Month = {Feb 1},
4622 Number = {5},
4623 Pages = {2090-2098},
4624 Title = {Langevin stabilization of molecular dynamics},
4625 Uri = {<Go to ISI>://000166676100020},
4626 Volume = {114},
4627 Year = {2001}}
4628
4629 @article{Torre1977,
4630 Author = {Jose Garcia De La Torre, V.A. Bloomfield},
4631 Journal = {Biopolymers},
4632 Pages = {1747-1763},
4633 Title = {Hydrodynamic properties of macromolecular complexes. I. Translation},
4634 Volume = {16},
4635 Year = {1977}}
4636
4637 @article{Kale1999,
4638 Abstract = {Molecular dynamics programs simulate the behavior of biomolecular
4639 systems, leading to understanding of their functions. However, the
4640 computational complexity of such simulations is enormous. Parallel
4641 machines provide the potential to meet this computational challenge.
4642 To harness this potential, it is necessary to develop a scalable
4643 program. It is also necessary that the program be easily modified
4644 by application-domain programmers. The NAMD2 program presented in
4645 this paper seeks to provide these desirable features. It uses spatial
4646 decomposition combined with force decomposition to enhance scalability.
4647 It uses intelligent periodic load balancing, so as to maximally
4648 utilize the available compute power. It is modularly organized,
4649 and implemented using Charm++, a parallel C++ dialect, so as to
4650 enhance its modifiability. It uses a combination of numerical techniques
4651 and algorithms to ensure that energy drifts are minimized, ensuring
4652 accuracy in long running calculations. NAMD2 uses a portable run-time
4653 framework called Converse that also supports interoperability among
4654 multiple parallel paradigms. As a result, different components of
4655 applications can be written in the most appropriate parallel paradigms.
4656 NAMD2 runs on most parallel machines including workstation clusters
4657 and has yielded speedups in excess of 180 on 220 processors. This
4658 paper also describes the performance obtained on some benchmark
4659 applications. (C) 1999 Academic Press.},
4660 Annote = {194FM Times Cited:373 Cited References Count:51},
4661 Author = {L. Kale and R. Skeel and M. Bhandarkar and R. Brunner and A. Gursoy and N. Krawetz and J. Phillips and A. Shinozaki and K. Varadarajan and K. Schulten},
4662 Issn = {0021-9991},
4663 Journal = {Journal of Computational Physics},
4664 Month = {May 1},
4665 Number = {1},
4666 Pages = {283-312},
4667 Title = {NAMD2: Greater scalability for parallel molecular dynamics},
4668 Uri = {<Go to ISI>://000080181500013},
4669 Volume = {151},
4670 Year = {1999}}
4671
4672 @article{Kane2000,
4673 Abstract = {The purpose of this work is twofold. First, we demonstrate analytically
4674 that the classical Newmark family as well as related integration
4675 algorithms are variational in the sense of the Veselov formulation
4676 of discrete mechanics. Such variational algorithms are well known
4677 to be symplectic and momentum preserving and to often have excellent
4678 global energy behaviour. This analytical result is verified through
4679 numerical examples and is believed to be one of the primary reasons
4680 that this class of algorithms performs so well. Second, we develop
4681 algorithms for mechanical systems with forcing, and in particular,
4682 for dissipative systems. In this case, we develop integrators that
4683 are based on a discretization of the Lagrange d'Alembert principle
4684 as well as on a variational formulation of dissipation. It is demonstrated
4685 that these types of structured integrators have good numerical behaviour
4686 in terms of obtaining the correct amounts by which the energy changes
4687 over the integration run. Copyright (C) 2000 John Wiley & Sons,
4688 Ltd.},
4689 Annote = {373CJ Times Cited:30 Cited References Count:41},
4690 Author = {C. Kane and J. E. Marsden and M. Ortiz and M. West},
4691 Issn = {0029-5981},
4692 Journal = {International Journal for Numerical Methods in Engineering},
4693 Month = {Dec 10},
4694 Number = {10},
4695 Pages = {1295-1325},
4696 Title = {Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems},
4697 Uri = {<Go to ISI>://000165270600004},
4698 Volume = {49},
4699 Year = {2000}}
4700
4701 @article{Klimov1997,
4702 Abstract = {The viscosity (eta) dependence of the folding rates for four sequences
4703 (the native state of three sequences is a beta sheet, while the
4704 fourth forms an alpha helix) is calculated for off-lattice models
4705 of proteins. Assuming that the dynamics is given by the Langevin
4706 equation, we show that the folding rates increase linearly at low
4707 viscosities eta, decrease as 1/eta at large eta, and have a maximum
4708 at intermediate values. The Kramers' theory of barrier crossing
4709 provides a quantitative fit of the numerical results. By mapping
4710 the simulation results to real proteins we estimate that for optimized
4711 sequences the time scale for forming a four turn alpha-helix topology
4712 is about 500 ns, whereas for beta sheet it is about 10 mu s.},
4713 Annote = {Xk293 Times Cited:77 Cited References Count:17},
4714 Author = {D. K. Klimov and D. Thirumalai},
4715 Issn = {0031-9007},
4716 Journal = {Physical Review Letters},
4717 Month = {Jul 14},
4718 Number = {2},
4719 Pages = {317-320},
4720 Title = {Viscosity dependence of the folding rates of proteins},
4721 Uri = {<Go to ISI>://A1997XK29300035},
4722 Volume = {79},
4723 Year = {1997}}
4724
4725 @article{Kol1997,
4726 Abstract = {Rigid-body molecular dynamics simulations typically are performed
4727 in a quaternion representation. The nonseparable form of the Hamiltonian
4728 in quaternions prevents the use of a standard leapfrog (Verlet)
4729 integrator, so nonsymplectic Runge-Kutta, multistep, or extrapolation
4730 methods are generally used, This is unfortunate since symplectic
4731 methods like Verlet exhibit superior energy conservation in long-time
4732 integrations. In this article, we describe an alternative method,
4733 which we call RSHAKE (for rotation-SHAKE), in which the entire rotation
4734 matrix is evolved (using the scheme of McLachlan and Scovel [J.
4735 Nonlin. Sci, 16 233 (1995)]) in tandem with the particle positions.
4736 We employ a fast approximate Newton solver to preserve the orthogonality
4737 of the rotation matrix. We test our method on a system of soft-sphere
4738 dipoles and compare with quaternion evolution using a 4th-order
4739 predictor-corrector integrator, Although the short-time error of
4740 the quaternion algorithm is smaller for fixed time step than that
4741 for RSHAKE, the quaternion scheme exhibits an energy drift which
4742 is not observed in simulations with RSHAKE, hence a fixed energy
4743 tolerance can be achieved by using a larger time step, The superiority
4744 of RSHAKE increases with system size. (C) 1997 American Institute
4745 of Physics.},
4746 Annote = {Xq332 Times Cited:11 Cited References Count:18},
4747 Author = {A. Kol and B. B. Laird and B. J. Leimkuhler},
4748 Issn = {0021-9606},
4749 Journal = {Journal of Chemical Physics},
4750 Month = {Aug 15},
4751 Number = {7},
4752 Pages = {2580-2588},
4753 Title = {A symplectic method for rigid-body molecular simulation},
4754 Uri = {<Go to ISI>://A1997XQ33200046},
4755 Volume = {107},
4756 Year = {1997}}
4757
4758 @article{Lansac2001,
4759 Abstract = {Cyanobiphenyls (nCB's) represent a useful and intensively studied
4760 class of mesogens. Many of the peculiar properties of nCB's (e.g.,
4761 the occurence of the partial bilayer smectic-A(d) phase) are thought
4762 to be a manifestation of short-range antiparallel association of
4763 neighboring molecules, resulting from strong dipole-dipole interactions
4764 between cyano groups. To test and extend existing models of microscopic
4765 ordering in nCB's, we carry out large-scale atomistic simulation
4766 studies of the microscopic structure and dynamics of the Sm-A(d)
4767 phase of 4-octyl-4'-cyanobiphenyl (8CB). We compute a variety of
4768 thermodynamic, structural, and dynamical properties for this material,
4769 and make a detailed comparison of our results with experimental
4770 measurements in order to validate our molecular model. Semiquantitative
4771 agreement with experiment is found: the smectic layer spacing and
4772 mass density are well reproduced, translational diffusion constants
4773 are similar to experiment, but the orientational ordering of alkyl
4774 chains is overestimated. This simulation provides a detailed picture
4775 of molecular conformation, smectic layer structure, and intermolecular
4776 correlations in Sm-A(d) 8CB, and demonstrates that pronounced short-range
4777 antiparallel association of molecules arising from dipole-dipole
4778 interactions plays a dominant role in determining the molecular-scale
4779 structure of 8CB.},
4780 Annote = {Part 1 496QF Times Cited:10 Cited References Count:60},
4781 Author = {Y. Lansac and M. A. Glaser and N. A. Clark},
4782 Issn = {1063-651X},
4783 Journal = {Physical Review E},
4784 Month = {Nov},
4785 Number = {5},
4786 Pages = {-},
4787 Title = {Microscopic structure and dynamics of a partial bilayer smectic liquid crystal},
4788 Uri = {<Go to ISI>://000172406900063},
4789 Volume = {6405},
4790 Year = {2001}}
4791
4792 @article{Lansac2003,
4793 Abstract = {Recently, a new class of smectic liquid crystal phases characterized
4794 by the spontaneous formation of macroscopic chiral domains from
4795 achiral bent-core molecules has been discovered. We have carried
4796 out Monte Carlo simulations of a minimal hard spherocylinder dimer
4797 model to investigate the role of excluded volume interactions in
4798 determining the phase behavior of bent-core materials and to probe
4799 the molecular origins of polar and chiral symmetry breaking. We
4800 present the phase diagram of hard spherocylinder dimers of length-diameter
4801 ratio of 5 as a function of pressure or density and dimer opening
4802 angle psi. With decreasing psi, a transition from a nonpolar to
4803 a polar smectic A phase is observed near psi=167degrees, and the
4804 nematic phase becomes thermodynamically unstable for psi<135degrees.
4805 Free energy calculations indicate that the antipolar smectic A (SmAP(A))
4806 phase is more stable than the polar smectic A phase (SmAP(F)). No
4807 chiral smectic or biaxial nematic phases were found.},
4808 Annote = {Part 1 646CM Times Cited:15 Cited References Count:38},
4809 Author = {Y. Lansac and P. K. Maiti and N. A. Clark and M. A. Glaser},
4810 Issn = {1063-651X},
4811 Journal = {Physical Review E},
4812 Month = {Jan},
4813 Number = {1},
4814 Pages = {-},
4815 Title = {Phase behavior of bent-core molecules},
4816 Uri = {<Go to ISI>://000181017300042},
4817 Volume = {67},
4818 Year = {2003}}
4819
4820 @book{Leach2001,
4821 Address = {Harlow, England},
4822 Author = {A. Leach},
4823 Edition = {2nd},
4824 Publisher = {Pearson Educated Limited},
4825 Title = {Molecular Modeling: Principles and Applications},
4826 Year = {2001}}
4827
4828 @article{Leimkuhler1999,
4829 Abstract = {Reversible and adaptive integration methods based on Kustaanheimo-Stiefel
4830 regularization and modified Sundman transformations are applied
4831 to simulate general perturbed Kepler motion and to compute classical
4832 trajectories of atomic systems (e.g. Rydberg atoms). The new family
4833 of reversible adaptive regularization methods also conserves angular
4834 momentum and exhibits superior energy conservation and numerical
4835 stability in long-time integrations. The schemes are appropriate
4836 for scattering, for astronomical calculations of escape time and
4837 long-term stability, and for classical and semiclassical studies
4838 of atomic dynamics. The components of an algorithm for trajectory
4839 calculations are described. Numerical experiments illustrate the
4840 effectiveness of the reversible approach.},
4841 Annote = {199EE Times Cited:11 Cited References Count:48},
4842 Author = {B. Leimkuhler},
4843 Issn = {1364-503X},
4844 Journal = {Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences},
4845 Month = {Apr 15},
4846 Number = {1754},
4847 Pages = {1101-1133},
4848 Title = {Reversible adaptive regularization: perturbed Kepler motion and classical atomic trajectories},
4849 Uri = {<Go to ISI>://000080466800007},
4850 Volume = {357},
4851 Year = {1999}}
4852
4853 @book{Leimkuhler2004,
4854 Address = {Cambridge},
4855 Author = {B. Leimkuhler and S. Reich},
4856 Publisher = {Cambridge University Press},
4857 Title = {Simulating Hamiltonian Dynamics},
4858 Year = {2004}}
4859
4860 @article{Levelut1981,
4861 Annote = {Ml751 Times Cited:96 Cited References Count:16},
4862 Author = {A. M. Levelut and R. J. Tarento and F. Hardouin and M. F. Achard and G. Sigaud},
4863 Issn = {1050-2947},
4864 Journal = {Physical Review A},
4865 Number = {4},
4866 Pages = {2180-2186},
4867 Title = {Number of Sa Phases},
4868 Uri = {<Go to ISI>://A1981ML75100057},
4869 Volume = {24},
4870 Year = {1981}}
4871
4872 @article{Lieb1982,
4873 Annote = {Nu461 Times Cited:40 Cited References Count:28},
4874 Author = {W. R. Lieb and M. Kovalycsik and R. Mendelsohn},
4875 Issn = {0006-3002},
4876 Journal = {Biochimica Et Biophysica Acta},
4877 Number = {2},
4878 Pages = {388-398},
4879 Title = {Do Clinical-Levels of General-Anesthetics Affect Lipid Bilayers - Evidence from Raman-Scattering},
4880 Uri = {<Go to ISI>://A1982NU46100012},
4881 Volume = {688},
4882 Year = {1982}}
4883
4884 @article{Link1997,
4885 Abstract = {A smectic liquid-crystal phase made from achiral molecules with bent
4886 cores was found to have fluid layers that exhibit two spontaneous
4887 symmetry-breaking instabilities: polar molecular orientational ordering
4888 about the layer normal and molecular tilt. These instabilities combine
4889 to form a chiral layer structure with a handedness that depends
4890 on the sign of the tilt. The bulk states are either antiferroelectric-racemic,
4891 with the layer polar direction and handedness alternating in sign
4892 from layer to layer, or antiferroelectric-chiral, which is of uniform
4893 layer handedness. Both states exhibit an electric field-induced
4894 transition from antiferroelectric to ferroelectric.},
4895 Annote = {Yl002 Times Cited:407 Cited References Count:25},
4896 Author = {D. R. Link and G. Natale and R. Shao and J. E. Maclennan and N. A. Clark and E. Korblova and D. M. Walba},
4897 Issn = {0036-8075},
4898 Journal = {Science},
4899 Month = {Dec 12},
4900 Number = {5345},
4901 Pages = {1924-1927},
4902 Title = {Spontaneous formation of macroscopic chiral domains in a fluid smectic phase of achiral molecules},
4903 Uri = {<Go to ISI>://A1997YL00200028},
4904 Volume = {278},
4905 Year = {1997}}
4906
4907 @article{Liwo2005,
4908 Annote = {Suppl. 1 005MG Times Cited:0 Cited References Count:0},
4909 Author = {A. Liwo and M. Khalili and H. A. Scheraga},
4910 Issn = {1742-464X},
4911 Journal = {Febs Journal},
4912 Month = {Jul},
4913 Pages = {359-360},
4914 Title = {Ab initio simulations of protein folding pathways by molecular dynamics with the united-residue (UNRES) model of polypeptide chains},
4915 Uri = {<Go to ISI>://000234826102043},
4916 Volume = {272},
4917 Year = {2005}}
4918
4919 @article{Luty1994,
4920 Abstract = {We compare the Particle-Particle Particle-Mesh (PPPM) and Ewald methods
4921 for calculating electrostatic interactions in periodic molecular
4922 systems. A brief comparison of the theories shows that the methods
4923 are very similar differing mainly in the technique which is used
4924 to perform the ''k-space'' or mesh calculation. Because the PPPM
4925 utilizes the highly efficient numerical Fast Fourier Transform (FFT)
4926 method it requires significantly less computational effort than
4927 the Ewald method and scale's almost linearly with system size.},
4928 Annote = {Qf464 Times Cited:50 Cited References Count:20},
4929 Author = {B. A. Luty and M. E. Davis and I. G. Tironi and W. F. Vangunsteren},
4930 Issn = {0892-7022},
4931 Journal = {Molecular Simulation},
4932 Number = {1},
4933 Pages = {11-20},
4934 Title = {A Comparison of Particle-Particle, Particle-Mesh and Ewald Methods for Calculating Electrostatic Interactions in Periodic Molecular-Systems},
4935 Uri = {<Go to ISI>://A1994QF46400002},
4936 Volume = {14},
4937 Year = {1994}}
4938
4939 @book{Marion1990,
4940 Address = {New York},
4941 Author = {J.~B. Marion},
4942 Edition = {2rd},
4943 Publisher = {Academic Press},
4944 Title = {Classical Dynamics of Particles and Systems},
4945 Year = {1990}}
4946
4947 @article{Marrink1994,
4948 Abstract = {To obtain insight in the process of water permeation through a lipid
4949 membrane, we performed molecular dynamics simulations on a phospholipid
4950 (DPPC)/water system with atomic detail. Since the actual process
4951 of permeation is too slow to be studied directly, we deduced the
4952 permeation rate indirectly via computation of the free energy and
4953 diffusion rate profiles of a water molecule across the bilayer.
4954 We conclude that the permeation of water through a lipid membrane
4955 cannot be described adequately by a simple homogeneous solubility-diffusion
4956 model. Both the excess free energy and the diffusion rate strongly
4957 depend on the position in the membrane, as a result from the inhomogeneous
4958 nature of the membrane. The calculated excess free energy profile
4959 has a shallow slope and a maximum height of 26 kJ/mol. The diffusion
4960 rate is highest in the middle of the membrane where the lipid density
4961 is low. In the interfacial region almost all water molecules are
4962 bound by the lipid headgroups, and the diffusion turns out to be
4963 1 order of magnitude smaller. The total transport process is essentially
4964 determined by the free energy barrier. The rate-limiting step is
4965 the permeation through the dense part of the lipid tails, where
4966 the resistance is highest. We found a permeation rate of 7(+/-3)
4967 x 10(-2) cm/s at 350 K, comparable to experimental values for DPPC
4968 membranes, if corrected for the temperature of the simulation. Taking
4969 the inhomogeneity of the membrane into account, we define a new
4970 ''four-region'' model which seems to be more realistic than the
4971 ''two-phase'' solubility-diffusion model.},
4972 Annote = {Ng219 Times Cited:187 Cited References Count:25},
4973 Author = {S. J. Marrink and H. J. C. Berendsen},
4974 Issn = {0022-3654},
4975 Journal = {Journal of Physical Chemistry},
4976 Month = {Apr 14},
4977 Number = {15},
4978 Pages = {4155-4168},
4979 Title = {Simulation of Water Transport through a Lipid-Membrane},
4980 Uri = {<Go to ISI>://A1994NG21900040},
4981 Volume = {98},
4982 Year = {1994}}
4983
4984 @article{Marrink2004,
4985 Author = {S.~J. Marrink and A.~H. de~Vries and A.~E. Mark},
4986 Journal = {J. Phys. Chem. B},
4987 Pages = {750-760},
4988 Title = {Coarse Grained Model for Semiquantitative Lipid Simulations},
4989 Volume = {108},
4990 Year = {2004}}
4991
4992 @article{Marsden1998,
4993 Abstract = {This paper presents a geometric-variational approach to continuous
4994 and discrete mechanics and field theories. Using multisymplectic
4995 geometry, we show that the existence of the fundamental geometric
4996 structures as well as their preservation along solutions can be
4997 obtained directly from the variational principle. In particular,
4998 we prove that a unique multisymplectic structure is obtained by
4999 taking the derivative of an action function, and use this structure
5000 to prove covariant generalizations of conservation of symplecticity
5001 and Noether's theorem. Natural discretization schemes for PDEs,
5002 which have these important preservation properties, then follow
5003 by choosing a discrete action functional. In the case of mechanics,
5004 we recover the variational symplectic integrators of Veselov type,
5005 while for PDEs we obtain covariant spacetime integrators which conserve
5006 the corresponding discrete multisymplectic form as well as the discrete
5007 momentum mappings corresponding to symmetries. We show that the
5008 usual notion of symplecticity along an infinite-dimensional space
5009 of fields can be naturally obtained by making a spacetime split.
5010 All of the aspects of our method are demonstrated with a nonlinear
5011 sine-Gordon equation, including computational results and a comparison
5012 with other discretization schemes.},
5013 Annote = {154RH Times Cited:88 Cited References Count:36},
5014 Author = {J. E. Marsden and G. W. Patrick and S. Shkoller},
5015 Issn = {0010-3616},
5016 Journal = {Communications in Mathematical Physics},
5017 Month = {Dec},
5018 Number = {2},
5019 Pages = {351-395},
5020 Title = {Multisymplectic geometry, variational integrators, and nonlinear PDEs},
5021 Uri = {<Go to ISI>://000077902200006},
5022 Volume = {199},
5023 Year = {1998}}
5024
5025 @article{Matthey2004,
5026 Abstract = {PROTOMOL is a high-performance framework in C++ for rapid prototyping
5027 of novel algorithms for molecular dynamics and related applications.
5028 Its flexibility is achieved primarily through the use of inheritance
5029 and design patterns (object-oriented programming): Performance is
5030 obtained by using templates that enable generation of efficient
5031 code for sections critical to performance (generic programming).
5032 The framework encapsulates important optimizations that can be used
5033 by developers, such as parallelism in the force computation. Its
5034 design is based on domain analysis of numerical integrators for
5035 molecular dynamics (MD) and of fast solvers for the force computation,
5036 particularly due to electrostatic interactions. Several new and
5037 efficient algorithms are implemented in PROTOMOL. Finally, it is
5038 shown that PROTOMOL'S sequential performance is excellent when compared
5039 to a leading MD program, and that it scales well for moderate number
5040 of processors. Binaries and source codes for Windows, Linux, Solaris,
5041 IRIX, HP-UX, and AIX platforms are available under open source license
5042 at http://protomol.sourceforge.net.},
5043 Annote = {860EP Times Cited:2 Cited References Count:52},
5044 Author = {T. Matthey and T. Cickovski and S. Hampton and A. Ko and Q. Ma and M. Nyerges and T. Raeder and T. Slabach and J. A. Izaguirre},
5045 Issn = {0098-3500},
5046 Journal = {Acm Transactions on Mathematical Software},
5047 Month = {Sep},
5048 Number = {3},
5049 Pages = {237-265},
5050 Title = {ProtoMol, an object-oriented framework for prototyping novel algorithms for molecular dynamics},
5051 Uri = {<Go to ISI>://000224325600001},
5052 Volume = {30},
5053 Year = {2004}}
5054
5055 @article{McLachlan1993,
5056 Author = {R.~I McLachlan},
5057 Journal = {prl},
5058 Pages = {3043-3046},
5059 Title = {Explicit Lie-Poisson integration and the Euler equations},
5060 Volume = {71},
5061 Year = {1993}}
5062
5063 @article{McLachlan1998,
5064 Abstract = {We give a survey and some new examples of generating functions for
5065 systems with symplectic structure, systems with a first integral,
5066 systems that preserve volume, and systems with symmetries and/or
5067 time-reversing symmetries. Both ODEs and maps are treated, and we
5068 discuss how generating functions may be used in the structure-preserving
5069 numerical integration of ODEs with the above properties.},
5070 Annote = {Yt049 Times Cited:7 Cited References Count:26},
5071 Author = {R. I. McLachlan and G. R. W. Quispel},
5072 Issn = {0167-2789},
5073 Journal = {Physica D},
5074 Month = {Jan 15},
5075 Number = {1-2},
5076 Pages = {298-309},
5077 Title = {Generating functions for dynamical systems with symmetries, integrals, and differential invariants},
5078 Uri = {<Go to ISI>://000071558900021},
5079 Volume = {112},
5080 Year = {1998}}
5081
5082 @article{McLachlan1998a,
5083 Abstract = {We consider properties of flows, the relationships between them, and
5084 whether numerical integrators can be made to preserve these properties.
5085 This is done in the context of automorphisms and antiautomorphisms
5086 of a certain group generated by maps associated to vector fields.
5087 This new framework unifies several known constructions. We also
5088 use the concept of #covariance# of a numerical method with respect
5089 to a group of coordinate transformations. The main application is
5090 to explore the relationship between spatial symmetries, reversing
5091 symmetries, and time symmetry of flows and numerical integrators.},
5092 Annote = {Zc449 Times Cited:14 Cited References Count:33},
5093 Author = {R. I. McLachlan and G. R. W. Quispel and G. S. Turner},
5094 Issn = {0036-1429},
5095 Journal = {Siam Journal on Numerical Analysis},
5096 Month = {Apr},
5097 Number = {2},
5098 Pages = {586-599},
5099 Title = {Numerical integrators that preserve symmetries and reversing symmetries},
5100 Uri = {<Go to ISI>://000072580500010},
5101 Volume = {35},
5102 Year = {1998}}
5103
5104 @article{McLachlan2005,
5105 Abstract = {In this paper we revisit the Moser-Veselov description of the free
5106 rigid body in body coordinates, which, in the 3 x 3 case, can be
5107 implemented as an explicit, second-order, integrable approximation
5108 of the continuous solution. By backward error analysis, we study
5109 the modified vector field which is integrated exactly by the discrete
5110 algorithm. We deduce that the discrete Moser-Veselov (DMV) is well
5111 approximated to higher order by time reparametrizations of the continuous
5112 equations (modified vector field). We use the modified vector field
5113 to scale the initial data of the DMV to improve the order of the
5114 approximation and show the equivalence of the DMV and the RATTLE
5115 algorithm. Numerical integration with these preprocessed initial
5116 data is several orders of magnitude more accurate than the original
5117 DMV and RATTLE approach.},
5118 Annote = {911NS Times Cited:0 Cited References Count:14},
5119 Author = {R. I. McLachlan and A. Zanna},
5120 Issn = {1615-3375},
5121 Journal = {Foundations of Computational Mathematics},
5122 Month = {Feb},
5123 Number = {1},
5124 Pages = {87-123},
5125 Title = {The discrete Moser-Veselov algorithm for the free rigid body, revisited},
5126 Uri = {<Go to ISI>://000228011900003},
5127 Volume = {5},
5128 Year = {2005}}
5129
5130 @article{Meineke2005,
5131 Abstract = {OOPSE is a new molecular dynamics simulation program that is capable
5132 of efficiently integrating equations of motion for atom types with
5133 orientational degrees of freedom (e.g. #sticky# atoms and point
5134 dipoles). Transition metals can also be simulated using the embedded
5135 atom method (EAM) potential included in the code. Parallel simulations
5136 are carried out using the force-based decomposition method. Simulations
5137 are specified using a very simple C-based meta-data language. A
5138 number of advanced integrators are included, and the basic integrator
5139 for orientational dynamics provides substantial improvements over
5140 older quaternion-based schemes. (C) 2004 Wiley Periodicals, Inc.},
5141 Annote = {891CF Times Cited:1 Cited References Count:56},
5142 Author = {M. A. Meineke and C. F. Vardeman and T. Lin and C. J. Fennell and J. D. Gezelter},
5143 Issn = {0192-8651},
5144 Journal = {Journal of Computational Chemistry},
5145 Month = {Feb},
5146 Number = {3},
5147 Pages = {252-271},
5148 Title = {OOPSE: An object-oriented parallel simulation engine for molecular dynamics},
5149 Uri = {<Go to ISI>://000226558200006},
5150 Volume = {26},
5151 Year = {2005}}
5152
5153 @article{Melchionna1993,
5154 Abstract = {In this paper we write down equations of motion (following the approach
5155 pioneered by Hoover) for an exact isothermal-isobaric molecular
5156 dynamics simulation, and we extend them to multiple thermostating
5157 rates, to a shape-varying cell and to molecular systems, coherently
5158 with the previous 'extended system method'. An integration scheme
5159 is proposed together with a numerical illustration of the method.},
5160 Annote = {Kq355 Times Cited:172 Cited References Count:17},
5161 Author = {S. Melchionna and G. Ciccotti and B. L. Holian},
5162 Issn = {0026-8976},
5163 Journal = {Molecular Physics},
5164 Month = {Feb 20},
5165 Number = {3},
5166 Pages = {533-544},
5167 Title = {Hoover Npt Dynamics for Systems Varying in Shape and Size},
5168 Uri = {<Go to ISI>://A1993KQ35500002},
5169 Volume = {78},
5170 Year = {1993}}
5171
5172 @article{Memmer2002,
5173 Abstract = {The phase behaviour of achiral banana-shaped molecules was studied
5174 by computer simulation. The banana-shaped molecules were described
5175 by model intermolecular interactions based on the Gay-Berne potential.
5176 The characteristic molecular structure was considered by joining
5177 two calamitic Gay-Berne particles through a bond to form a biaxial
5178 molecule of point symmetry group C-2v with a suitable bending angle.
5179 The dependence on temperature of systems of N=1024 rigid banana-shaped
5180 molecules with bending angle phi=140degrees has been studied by
5181 means of Monte Carlo simulations in the isobaric-isothermal ensemble
5182 (NpT). On cooling an isotropic system, two phase transitions characterized
5183 by phase transition enthalpy, entropy and relative volume change
5184 have been observed. For the first time by computer simulation of
5185 a many-particle system of banana-shaped molecules, at low temperature
5186 an untilted smectic phase showing a global phase biaxiality and
5187 a spontaneous local polarization in the layers, i.e. a local polar
5188 arrangement of the steric dipoles, with an antiferroelectric-like
5189 superstructure could be proven, a phase structure which recently
5190 has been discovered experimentally. Additionally, at intermediate
5191 temperature a nematic-like phase has been proved, whereas close
5192 to the transition to the smectic phase hints of a spontaneous achiral
5193 symmetry breaking have been determined. Here, in the absence of
5194 a layered structure a helical superstructure has been formed. All
5195 phases have been characterized by visual representations of selected
5196 configurations, scalar and pseudoscalar correlation functions, and
5197 order parameters.},
5198 Annote = {531HT Times Cited:12 Cited References Count:37},
5199 Author = {R. Memmer},
5200 Issn = {0267-8292},
5201 Journal = {Liquid Crystals},
5202 Month = {Apr},
5203 Number = {4},
5204 Pages = {483-496},
5205 Title = {Liquid crystal phases of achiral banana-shaped molecules: a computer simulation study},
5206 Uri = {<Go to ISI>://000174410500001},
5207 Volume = {29},
5208 Year = {2002}}
5209
5210 @article{Metropolis1949,
5211 Author = {N. Metropolis and S. Ulam},
5212 Journal = {J. Am. Stat. Ass.},
5213 Pages = {335-341},
5214 Title = {The $\mbox{Monte Carlo}$ Method},
5215 Volume = {44},
5216 Year = {1949}}
5217
5218 @article{Mielke2004,
5219 Abstract = {The torque generated by RNA polymerase as it tracks along double-stranded
5220 DNA can potentially induce long-range structural deformations integral
5221 to mechanisms of biological significance in both prokaryotes and
5222 eukaryotes. In this paper, we introduce a dynamic computer model
5223 for investigating this phenomenon. Duplex DNA is represented as
5224 a chain of hydrodynamic beads interacting through potentials of
5225 linearly elastic stretching, bending, and twisting, as well as excluded
5226 volume. The chain, linear when relaxed, is looped to form two open
5227 but topologically constrained subdomains. This permits the dynamic
5228 introduction of torsional stress via a centrally applied torque.
5229 We simulate by Brownian dynamics the 100 mus response of a 477-base
5230 pair B-DNA template to the localized torque generated by the prokaryotic
5231 transcription ensemble. Following a sharp rise at early times, the
5232 distributed twist assumes a nearly constant value in both subdomains,
5233 and a succession of supercoiling deformations occurs as superhelical
5234 stress is increasingly partitioned to writhe. The magnitude of writhe
5235 surpasses that of twist before also leveling off when the structure
5236 reaches mechanical equilibrium with the torsional load. Superhelicity
5237 is simultaneously right handed in one subdomain and left handed
5238 in the other, as predicted by the #transcription-induced##twin-supercoiled-domain#
5239 model [L. F. Liu and J. C. Wang, Proc. Natl. Acad. Sci. U.S.A. 84,
5240 7024 (1987)]. The properties of the chain at the onset of writhing
5241 agree well with predictions from theory, and the generated stress
5242 is ample for driving secondary structural transitions in physiological
5243 DNA. (C) 2004 American Institute of Physics.},
5244 Annote = {861ZF Times Cited:3 Cited References Count:34},
5245 Author = {S. P. Mielke and W. H. Fink and V. V. Krishnan and N. Gronbech-Jensen and C. J. Benham},
5246 Issn = {0021-9606},
5247 Journal = {Journal of Chemical Physics},
5248 Month = {Oct 22},
5249 Number = {16},
5250 Pages = {8104-8112},
5251 Title = {Transcription-driven twin supercoiling of a DNA loop: A Brownian dynamics study},
5252 Uri = {<Go to ISI>://000224456500064},
5253 Volume = {121},
5254 Year = {2004}}
5255
5256 @article{Naess2001,
5257 Abstract = {The three Eulerian angles constitute the classical choice of generalized
5258 coordinates used to describe the three degrees of rotational freedom
5259 of a rigid body, but it has long been known that this choice yields
5260 singular equations of motion. The latter is also true when Eulerian
5261 angles are used in Brownian dynamics analyses of the angular orientation
5262 of single rigid bodies and segmented polymer chains. Starting from
5263 kinetic theory we here show that by instead employing the three
5264 components of Cartesian rotation vectors as the generalized coordinates
5265 describing angular orientation, no singularity appears in the configuration
5266 space diffusion equation and the associated Brownian dynamics algorithm.
5267 The suitability of Cartesian rotation vectors in Brownian dynamics
5268 simulations of segmented polymer chains with spring-like or ball-socket
5269 joints is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.},
5270 Annote = {433TA Times Cited:7 Cited References Count:19},
5271 Author = {S. N. Naess and H. M. Adland and A. Mikkelsen and A. Elgsaeter},
5272 Issn = {0378-4371},
5273 Journal = {Physica A},
5274 Month = {May 15},
5275 Number = {3-4},
5276 Pages = {323-339},
5277 Title = {Brownian dynamics simulation of rigid bodies and segmented polymer chains. Use of Cartesian rotation vectors as the generalized coordinates describing angular orientations},
5278 Uri = {<Go to ISI>://000168774800005},
5279 Volume = {294},
5280 Year = {2001}}
5281
5282 @article{Niori1996,
5283 Abstract = {The synthesis of a banana-shaped molecule is reported and it is found
5284 that the smectic phase which it forms is biaxial with the molecules
5285 packed in the best,direction into a layer. Because of this characteristic
5286 packing, spontaneous polarization appears parallel to the layer
5287 and switches on reversal of an applied electric field. This is the
5288 first obvious example of ferroelectricity in an achiral smectic
5289 phase and is ascribed to the C-2v symmetry of the molecular packing.},
5290 Annote = {Ux855 Times Cited:447 Cited References Count:18},
5291 Author = {T. Niori and T. Sekine and J. Watanabe and T. Furukawa and H. Takezoe},
5292 Issn = {0959-9428},
5293 Journal = {Journal of Materials Chemistry},
5294 Month = {Jul},
5295 Number = {7},
5296 Pages = {1231-1233},
5297 Title = {Distinct ferroelectric smectic liquid crystals consisting of banana shaped achiral molecules},
5298 Uri = {<Go to ISI>://A1996UX85500025},
5299 Volume = {6},
5300 Year = {1996}}
5301
5302 @article{Noguchi2002,
5303 Abstract = {We Studied the structural changes of bilayer vesicles induced by mechanical
5304 forces using a Brownian dynamics simulation. Two nanoparticles,
5305 which interact repulsively with amphiphilic molecules, are put inside
5306 a vesicle. The position of one nanoparticle is fixed, and the other
5307 is moved by a constant force as in optical-trapping experiments.
5308 First, the pulled vesicle stretches into a pear or tube shape. Then
5309 the inner monolayer in the tube-shaped region is deformed, and a
5310 cylindrical structure is formed between two vesicles. After stretching
5311 the cylindrical region, fission occurs near the moved vesicle. Soon
5312 after this the cylindrical region shrinks. The trapping force similar
5313 to 100 pN is needed to induce the formation of the cylindrical structure
5314 and fission.},
5315 Annote = {Part 1 568PX Times Cited:5 Cited References Count:39},
5316 Author = {H. Noguchi and M. Takasu},
5317 Issn = {1063-651X},
5318 Journal = {Physical Review E},
5319 Month = {may},
5320 Number = {5},
5321 Pages = {-},
5322 Title = {Structural changes of pulled vesicles: A Brownian dynamics simulation},
5323 Uri = {<Go to ISI>://000176552300084},
5324 Volume = {65},
5325 Year = {2002}}
5326
5327 @article{Noguchi2001,
5328 Abstract = {We studied the fusion dynamics of vesicles using a Brownian dynamics
5329 simulation. Amphiphilic molecules spontaneously form vesicles with
5330 a bilayer structure. Two vesicles come into contact and form a stalk
5331 intermediate, in which a necklike structure only connects the outer
5332 monolayers, as predicted by the stalk hypothesis. We have found
5333 a new pathway of pore opening from stalks at high temperature: the
5334 elliptic stalk bends and contact between the ends of the arc-shaped
5335 stalk leads to pore opening. On the other hand, we have clarified
5336 that the pore-opening process at low temperature agrees with the
5337 modified stalk model: a pore is induced by contact between the inner
5338 monolayers inside the stalk. (C) 2001 American Institute of Physics.},
5339 Annote = {491UW Times Cited:48 Cited References Count:25},
5340 Author = {H. Noguchi and M. Takasu},
5341 Issn = {0021-9606},
5342 Journal = {Journal of Chemical Physics},
5343 Month = {Nov 22},
5344 Number = {20},
5345 Pages = {9547-9551},
5346 Title = {Fusion pathways of vesicles: A Brownian dynamics simulation},
5347 Uri = {<Go to ISI>://000172129300049},
5348 Volume = {115},
5349 Year = {2001}}
5350
5351 @book{Olver1986,
5352 Address = {New York},
5353 Author = {P.J. Olver},
5354 Publisher = {Springer},
5355 Title = {Applications of Lie groups to differential equatitons},
5356 Year = {1986}}
5357
5358 @article{Omelyan1998,
5359 Abstract = {A revised version of the quaternion approach for numerical integration
5360 of the equations of motion for rigid polyatomic molecules is proposed.
5361 The modified approach is based on a formulation of the quaternion
5362 dynamics with constraints. This allows one to resolve the rigidity
5363 problem rigorously using constraint forces. It is shown that the
5364 procedure for preservation of molecular rigidity can be realized
5365 particularly simply within the Verlet algorithm in velocity form.
5366 We demonstrate that the method presented leads to an improved numerical
5367 stability with respect to the usual quaternion rescaling scheme
5368 and it is roughly as good as the cumbersome atomic-constraint technique.
5369 (C) 1998 American Institute of Physics.},
5370 Annote = {Yx279 Times Cited:12 Cited References Count:28},
5371 Author = {I. P. Omelyan},
5372 Issn = {0894-1866},
5373 Journal = {Computers in Physics},
5374 Month = {Jan-Feb},
5375 Number = {1},
5376 Pages = {97-103},
5377 Title = {On the numerical integration of motion for rigid polyatomics: The modified quaternion approach},
5378 Uri = {<Go to ISI>://000072024300025},
5379 Volume = {12},
5380 Year = {1998}}
5381
5382 @article{Omelyan1998a,
5383 Abstract = {An algorithm for numerical integration of the rigid-body equations
5384 of motion is proposed. The algorithm uses the leapfrog scheme and
5385 the quantities involved are angular velocities and orientational
5386 variables that can be expressed in terms of either principal axes
5387 or quaternions. Due to specific features of the algorithm, orthonormality
5388 and unit norms of the orientational variables are integrals of motion,
5389 despite an approximate character of the produced trajectories. It
5390 is shown that the method presented appears to be the most efficient
5391 among all such algorithms known.},
5392 Annote = {101XL Times Cited:8 Cited References Count:22},
5393 Author = {I. P. Omelyan},
5394 Issn = {1063-651X},
5395 Journal = {Physical Review E},
5396 Month = {Jul},
5397 Number = {1},
5398 Pages = {1169-1172},
5399 Title = {Algorithm for numerical integration of the rigid-body equations of motion},
5400 Uri = {<Go to ISI>://000074893400151},
5401 Volume = {58},
5402 Year = {1998}}
5403
5404 @article{Owren1992,
5405 Abstract = {Continuous, explicit Runge-Kutta methods with the minimal number of
5406 stages are considered. These methods are continuously differentiable
5407 if and only if one of the stages is the FSAL evaluation. A characterization
5408 of a subclass of these methods is developed for orders 3, 4, and
5409 5. It is shown how the free parameters of these methods can be used
5410 either to minimize the continuous truncation error coefficients
5411 or to maximize the stability region. As a representative for these
5412 methods the fifth-order method with minimized error coefficients
5413 is chosen, supplied with an error estimation method, and analysed
5414 by using the DETEST software. The results are compared with a similar
5415 implementation of the Dormand-Prince 5(4) pair with interpolant,
5416 showing a significant advantage in the new method for the chosen
5417 problems.},
5418 Annote = {Ju936 Times Cited:25 Cited References Count:20},
5419 Author = {B. Owren and M. Zennaro},
5420 Issn = {0196-5204},
5421 Journal = {Siam Journal on Scientific and Statistical Computing},
5422 Month = {Nov},
5423 Number = {6},
5424 Pages = {1488-1501},
5425 Title = {Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods},
5426 Uri = {<Go to ISI>://A1992JU93600013},
5427 Volume = {13},
5428 Year = {1992}}
5429
5430 @article{Palacios1998,
5431 Abstract = {The stochastic Landau-Lifshitz-Gilbert equation of motion for a classical
5432 magnetic moment is numerically solved (properly observing the customary
5433 interpretation of it as a Stratonovich stochastic differential equation),
5434 in order to study the dynamics of magnetic nanoparticles. The corresponding
5435 Langevin-dynamics approach allows for the study of the fluctuating
5436 trajectories of individual magnetic moments, where we have encountered
5437 remarkable phenomena in the overbarrier rotation process, such as
5438 crossing-back or multiple crossing of the potential barrier, rooted
5439 in the gyromagnetic nature of the system. Concerning averaged quantities,
5440 we study the linear dynamic response of the archetypal ensemble
5441 of noninteracting classical magnetic moments with axially symmetric
5442 magnetic anisotropy. The results are compared with different analytical
5443 expressions used to model the relaxation of nanoparticle ensembles,
5444 assessing their accuracy. It has been found that, among a number
5445 of heuristic expressions for the linear dynamic susceptibility,
5446 only the simple formula proposed by Shliomis and Stepanov matches
5447 the coarse features of the susceptibility reasonably. By comparing
5448 the numerical results with the asymptotic formula of Storonkin {Sov.
5449 Phys. Crystallogr. 30, 489 (1985) [Kristallografiya 30, 841 (1985)]},
5450 the effects of the intra-potential-well relaxation modes on the
5451 low-temperature longitudinal dynamic response have been assessed,
5452 showing their relatively small reflection in the susceptibility
5453 curves but their dramatic influence on the phase shifts. Comparison
5454 of the numerical results with the exact zero-damping expression
5455 for the transverse susceptibility by Garanin, Ishchenko, and Panina
5456 {Theor. Math. Phys. (USSR) 82, 169 (1990) [Teor. Mat. Fit. 82, 242
5457 (1990)]}, reveals a sizable contribution of the spread of the precession
5458 frequencies of the magnetic moment in the anisotropy field to the
5459 dynamic response at intermediate-to-high temperatures. [S0163-1829
5460 (98)00446-9].},
5461 Annote = {146XW Times Cited:66 Cited References Count:45},
5462 Author = {J. L. Garcia-Palacios and F. J. Lazaro},
5463 Issn = {0163-1829},
5464 Journal = {Physical Review B},
5465 Month = {Dec 1},
5466 Number = {22},
5467 Pages = {14937-14958},
5468 Title = {Langevin-dynamics study of the dynamical properties of small magnetic particles},
5469 Uri = {<Go to ISI>://000077460000052},
5470 Volume = {58},
5471 Year = {1998}}
5472
5473 @article{Parr1995,
5474 Abstract = {Despite the parsing power of LR/LALR algorithms, e.g. YACC, programmers
5475 often choose to write recursive-descent parsers by hand to obtain
5476 increased flexibility, better error handling, and ease of debugging.
5477 We introduce ANTLR, a public-domain parser generator that combines
5478 the flexibility of hand-coded parsing with the convenience of a
5479 parser generator, which is a component of PCCTS. ANTLR has many
5480 features that make it easier to use than other language tools. Most
5481 important, ANTLR provides predicates which let the programmer systematically
5482 direct the parse via arbitrary expressions using semantic and syntactic
5483 context; in practice, the use of predicates eliminates the need
5484 to hand-tweak the ANTLR output, even for difficult parsing problems.
5485 ANTLR also integrates the description of lexical and syntactic analysis,
5486 accepts LL(k) grammars for k > 1 with extended BNF notation, and
5487 can automatically generate abstract syntax trees. ANTLR is widely
5488 used, with over 1000 registered industrial and academic users in
5489 37 countries. It has been ported to many popular systems such as
5490 the PC, Macintosh, and a variety of UNIX platforms; a commercial
5491 C++ front-end has been developed as a result of one of our industrial
5492 collaborations.},
5493 Annote = {Rk104 Times Cited:19 Cited References Count:10},
5494 Author = {T. J. Parr and R. W. Quong},
5495 Issn = {0038-0644},
5496 Journal = {Software-Practice \& Experience},
5497 Month = {Jul},
5498 Number = {7},
5499 Pages = {789-810},
5500 Title = {Antlr - a Predicated-Ll(K) Parser Generator},
5501 Uri = {<Go to ISI>://A1995RK10400004},
5502 Volume = {25},
5503 Year = {1995}}
5504
5505 @article{Pastor1988,
5506 Annote = {T1302 Times Cited:61 Cited References Count:26},
5507 Author = {R. W. Pastor and B. R. Brooks and A. Szabo},
5508 Issn = {0026-8976},
5509 Journal = {Molecular Physics},
5510 Month = {Dec 20},
5511 Number = {6},
5512 Pages = {1409-1419},
5513 Title = {An Analysis of the Accuracy of Langevin and Molecular-Dynamics Algorithms},
5514 Uri = {<Go to ISI>://A1988T130200011},
5515 Volume = {65},
5516 Year = {1988}}
5517
5518 @article{Pelzl1999,
5519 Annote = {220RC Times Cited:313 Cited References Count:49},
5520 Author = {G. Pelzl and S. Diele and W. Weissflog},
5521 Issn = {0935-9648},
5522 Journal = {Advanced Materials},
5523 Month = {Jul 5},
5524 Number = {9},
5525 Pages = {707-724},
5526 Title = {Banana-shaped compounds - A new field of liquid crystals},
5527 Uri = {<Go to ISI>://000081680400007},
5528 Volume = {11},
5529 Year = {1999}}
5530
5531 @article{Perram1985,
5532 Annote = {Akb93 Times Cited:71 Cited References Count:12},
5533 Author = {J. W. Perram and M. S. Wertheim},
5534 Issn = {0021-9991},
5535 Journal = {Journal of Computational Physics},
5536 Number = {3},
5537 Pages = {409-416},
5538 Title = {Statistical-Mechanics of Hard Ellipsoids .1. Overlap Algorithm and the Contact Function},
5539 Uri = {<Go to ISI>://A1985AKB9300008},
5540 Volume = {58},
5541 Year = {1985}}
5542
5543 @article{Rotne1969,
5544 Author = {F. Perrin},
5545 Journal = {J. Chem. Phys.},
5546 Pages = {4831-4837},
5547 Title = {Variational treatment of hydrodynamic interaction in polymers},
5548 Volume = {50},
5549 Year = {1969}}
5550
5551 @article{Perrin1936,
5552 Author = {F. Perrin},
5553 Journal = {J. Phys. Radium},
5554 Pages = {1-11},
5555 Title = {Mouvement brownien d'un ellipsoid(II). Rotation libre et depolarisation des fluorescences. Translation et diffusion de moleculese ellipsoidales},
5556 Volume = {7},
5557 Year = {1936}}
5558
5559 @article{Perrin1934,
5560 Author = {F. Perrin},
5561 Journal = {J. Phys. Radium},
5562 Pages = {497-511},
5563 Title = {Mouvement brownien d'un ellipsoid(I). Dispersion dielectrique pour des molecules ellipsoidales},
5564 Volume = {5},
5565 Year = {1934}}
5566
5567 @article{Petrache2000,
5568 Author = {H.~I. Petrache and S.~W. Dodd and M.~F. Brown},
5569 Journal = {Biophysical Journal},
5570 Pages = {3172-3192},
5571 Title = {Area per Lipid and Acyl Length Distributions in Fluid Phosphatidylcholines Determined by $^2\text{H}$ {\sc nmr} Spectroscopy},
5572 Volume = {79},
5573 Year = {2000}}
5574
5575 @article{Petrache1998,
5576 Abstract = {X-ray diffraction data taken at high instrumental resolution were
5577 obtained for EPC and DMPC under various osmotic pressures, primarily
5578 at T = 30 degrees C. The headgroup thickness D-HH was obtained from
5579 relative electron density profiles. By using volumetric results
5580 and by comparing to gel phase DPPC we obtain areas A(EPC)(F) = 69.4
5581 +/- 1.1 Angstrom(2) and A(DMPC)(F) = 59.7 +/- 0.2 Angstrom(2). The
5582 analysis also gives estimates for the areal compressibility K-A.
5583 The A(F) results lead to other structural results regarding membrane
5584 thickness and associated waters. Using the recently determined absolute
5585 electrons density profile of DPPC, the AF results also lead to absolute
5586 electron density profiles and absolute continuous transforms \F(q)\
5587 for EPC and DMPC, Limited measurements of temperature dependence
5588 show directly that fluctuations increase with increasing temperature
5589 and that a small decrease in bending modulus K-c accounts for the
5590 increased water spacing reported by Simon et al. (1995) Biophys.
5591 J. 69, 1473-1483. (C) 1998 Elsevier Science Ireland Ltd. All rights
5592 reserved.},
5593 Annote = {130AT Times Cited:98 Cited References Count:39},
5594 Author = {H. I. Petrache and S. Tristram-Nagle and J. F. Nagle},
5595 Issn = {0009-3084},
5596 Journal = {Chemistry and Physics of Lipids},
5597 Month = {Sep},
5598 Number = {1},
5599 Pages = {83-94},
5600 Title = {Fluid phase structure of EPC and DMPC bilayers},
5601 Uri = {<Go to ISI>://000076497600007},
5602 Volume = {95},
5603 Year = {1998}}
5604
5605 @article{Powles1973,
5606 Author = {J.~G. Powles},
5607 Journal = {Advan. Phys.},
5608 Pages = {1-56},
5609 Title = {A general ellipsoid can not always serve as a modle for the rotational diffusion properties of arbitrary shaped rigid molecules},
5610 Volume = {22},
5611 Year = {1973}}
5612
5613 @article{Recio2004,
5614 Abstract = {Protein recognition is one of the most challenging and intriguing
5615 problems in structural biology. Despite all the available structural,
5616 sequence and biophysical information about protein-protein complexes,
5617 the physico-chemical patterns, if any, that make a protein surface
5618 likely to be involved in protein-protein interactions, remain elusive.
5619 Here, we apply protein docking simulations and analysis of the interaction
5620 energy landscapes to identify protein-protein interaction sites.
5621 The new protocol for global docking based on multi-start global
5622 energy optimization of an allatom model of the ligand, with detailed
5623 receptor potentials and atomic solvation parameters optimized in
5624 a training set of 24 complexes, explores the conformational space
5625 around the whole receptor without restrictions. The ensembles of
5626 the rigid-body docking solutions generated by the simulations were
5627 subsequently used to project the docking energy landscapes onto
5628 the protein surfaces. We found that highly populated low-energy
5629 regions consistently corresponded to actual binding sites. The procedure
5630 was validated on a test set of 21 known protein-protein complexes
5631 not used in the training set. As much as 81% of the predicted high-propensity
5632 patch residues were located correctly in the native interfaces.
5633 This approach can guide the design of mutations on the surfaces
5634 of proteins, provide geometrical details of a possible interaction,
5635 and help to annotate protein surfaces in structural proteomics.
5636 (C) 2003 Elsevier Ltd. All rights reserved.},
5637 Annote = {763GQ Times Cited:21 Cited References Count:59},
5638 Author = {J. Fernandez-Recio and M. Totrov and R. Abagyan},
5639 Issn = {0022-2836},
5640 Journal = {Journal of Molecular Biology},
5641 Month = {Jan 16},
5642 Number = {3},
5643 Pages = {843-865},
5644 Title = {Identification of protein-protein interaction sites from docking energy landscapes},
5645 Uri = {<Go to ISI>://000188066900016},
5646 Volume = {335},
5647 Year = {2004}}
5648
5649 @article{Reddy2006,
5650 Abstract = {An overview on the recent developments in the field of liquid crystalline
5651 bent-core molecules (so-called banana liquid crystals) is given.
5652 After some basic issues, dealing with general aspects of the systematisation
5653 of the mesophases, development of polar order and chirality in this
5654 class of LC systems and explaining some general structure-property
5655 relationships, we focus on fascinating new developments in this
5656 field, such as modulated, undulated and columnar phases, so-called
5657 B7 phases, phase biaxiality, ferroelectric and antiferroelectric
5658 polar order in smectic and columnar phases, amplification and switching
5659 of chirality and the spontaneous formation of superstructural and
5660 supramolecular chirality.},
5661 Annote = {021NS Times Cited:2 Cited References Count:316},
5662 Author = {R. A. Reddy and C. Tschierske},
5663 Issn = {0959-9428},
5664 Journal = {Journal of Materials Chemistry},
5665 Number = {10},
5666 Pages = {907-961},
5667 Title = {Bent-core liquid crystals: polar order, superstructural chirality and spontaneous desymmetrisation in soft matter systems},
5668 Uri = {<Go to ISI>://000235990500001},
5669 Volume = {16},
5670 Year = {2006}}
5671
5672 @article{Reich1999,
5673 Abstract = {Backward error analysis has become an important tool for understanding
5674 the long time behavior of numerical integration methods. This is
5675 true in particular for the integration of Hamiltonian systems where
5676 backward error analysis can be used to show that a symplectic method
5677 will conserve energy over exponentially long periods of time. Such
5678 results are typically based on two aspects of backward error analysis:
5679 (i) It can be shown that the modified vector fields have some qualitative
5680 properties which they share with the given problem and (ii) an estimate
5681 is given for the difference between the best interpolating vector
5682 field and the numerical method. These aspects have been investigated
5683 recently, for example, by Benettin and Giorgilli in [J. Statist.
5684 Phys., 74 (1994), pp. 1117-1143], by Hairer in [Ann. Numer. Math.,
5685 1 (1994), pp. 107-132], and by Hairer and Lubich in [Numer. Math.,
5686 76 (1997), pp. 441-462]. In this paper we aim at providing a unifying
5687 framework and a simplification of the existing results and corresponding
5688 proofs. Our approach to backward error analysis is based on a simple
5689 recursive definition of the modified vector fields that does not
5690 require explicit Taylor series expansion of the numerical method
5691 and the corresponding flow maps as in the above-cited works. As
5692 an application we discuss the long time integration of chaotic Hamiltonian
5693 systems and the approximation of time averages along numerically
5694 computed trajectories.},
5695 Annote = {237HV Times Cited:43 Cited References Count:41},
5696 Author = {S. Reich},
5697 Issn = {0036-1429},
5698 Journal = {Siam Journal on Numerical Analysis},
5699 Month = {Sep 8},
5700 Number = {5},
5701 Pages = {1549-1570},
5702 Title = {Backward error analysis for numerical integrators},
5703 Uri = {<Go to ISI>://000082650600010},
5704 Volume = {36},
5705 Year = {1999}}
5706
5707 @article{Ros2005,
5708 Abstract = {The recent literature in the field of liquid crystals shows that banana-shaped
5709 mesogenic materials represent a bewitching and stimulating field
5710 of research that is interesting both academically and in terms of
5711 applications. Numerous topics are open to investigation in this
5712 area because of the rich phenomenology and new possibilities that
5713 these materials offer. The principal concepts in this area are reviewed
5714 along with recent results. In addition, new directions to stimulate
5715 further research activities are highlighted.},
5716 Annote = {990XA Times Cited:3 Cited References Count:72},
5717 Author = {M. B. Ros and J. L. Serrano and M. R. {de la Fuente} and C. L. Folcia},
5718 Issn = {0959-9428},
5719 Journal = {Journal of Materials Chemistry},
5720 Number = {48},
5721 Pages = {5093-5098},
5722 Title = {Banana-shaped liquid crystals: a new field to explore},
5723 Uri = {<Go to ISI>://000233775500001},
5724 Volume = {15},
5725 Year = {2005}}
5726
5727 @article{Roux1991,
5728 Abstract = {The mobility of water, Na+. and K+ has been calculated inside a periodic
5729 poly-(L,D)-alanine beta-helix, a model for the interior of the gramicidin
5730 channel. Because of the different dynamical regimes for the three
5731 species (high barrier for Na+, low barrier for K+, almost free diffusion
5732 for water), different methods are used to calculate the mobilities.
5733 By use of activated dynamics and a potential of mean force determined
5734 previously (Roux, B.; Karplus, M. Biophys. J. 1991, 59, 961), the
5735 barrier crossing rate of Na+ ion is determined. The motion of Na+
5736 at the transition state is controlled by local interactions and
5737 collisions with the neighboring carbonyls and the two nearest water
5738 molecules. There are significant deviations from transition-state
5739 theory; the transmission coefficient is equal to 0.11. The water
5740 and K+ motions are found to be well described by a diffusive model;
5741 the motion of K+ appears to be controlled by the diffusion of water.
5742 The time-dependent friction functions of Na+ and K+ ions in the
5743 periodic beta-helix are calculated and analyzed by using a generalized
5744 Langevin equation approach. Both Na+ and K+ suffer many rapid collisions,
5745 and their dynamics is overdamped and noninertial. Thus, the selectivity
5746 sequence of ions in the beta-helix is not influenced strongly by
5747 their masses.},
5748 Annote = {Fr756 Times Cited:97 Cited References Count:65},
5749 Author = {B. Roux and M. Karplus},
5750 Issn = {0022-3654},
5751 Journal = {Journal of Physical Chemistry},
5752 Month = {Jun 13},
5753 Number = {12},
5754 Pages = {4856-4868},
5755 Title = {Ion-Transport in a Gramicidin-Like Channel - Dynamics and Mobility},
5756 Uri = {<Go to ISI>://A1991FR75600049},
5757 Volume = {95},
5758 Year = {1991}}
5759
5760 @article{Roy2005,
5761 Abstract = {A vast majority of compounds with bent core or banana shaped molecules
5762 exhibit the phase sequence B-6-B-1-B-2 as the chain length is increased
5763 in a homologous series. The B-6 phase has an intercalated fluid
5764 lamellar structure with a layer spacing of half the molecular length.
5765 The B-1 phase has a two dimensionally periodic rectangular columnar
5766 structure. The B-2 phase has a monolayer fluid lamellar structure
5767 with molecules tilted with respect to the layer normal. Neglecting
5768 the tilt order of the molecules in the B-2 phase, we have developed
5769 a frustrated packing model to describe this phase sequence qualitatively.
5770 The model has some analogy with that of the frustrated smectics
5771 exhibited by highly polar rod like molecules.},
5772 Annote = {985FW Times Cited:0 Cited References Count:30},
5773 Author = {A. Roy and N. V. Madhusudana},
5774 Issn = {1292-8941},
5775 Journal = {European Physical Journal E},
5776 Month = {Nov},
5777 Number = {3},
5778 Pages = {253-258},
5779 Title = {A frustrated packing model for the B-6-B-1-SmAP(A) sequence of phases in banana shaped molecules},
5780 Uri = {<Go to ISI>://000233363300002},
5781 Volume = {18},
5782 Year = {2005}}
5783
5784 @article{Ryckaert1977,
5785 Annote = {Cz253 Times Cited:3680 Cited References Count:7},
5786 Author = {J. P. Ryckaert and G. Ciccotti and H. J. C. Berendsen},
5787 Issn = {0021-9991},
5788 Journal = {Journal of Computational Physics},
5789 Number = {3},
5790 Pages = {327-341},
5791 Title = {Numerical-Integration of Cartesian Equations of Motion of a System with Constraints - Molecular-Dynamics of N-Alkanes},
5792 Uri = {<Go to ISI>://A1977CZ25300007},
5793 Volume = {23},
5794 Year = {1977}}
5795
5796 @article{Sagui1999,
5797 Abstract = {Current computer simulations of biomolecules typically make use of
5798 classical molecular dynamics methods, as a very large number (tens
5799 to hundreds of thousands) of atoms are involved over timescales
5800 of many nanoseconds. The methodology for treating short-range bonded
5801 and van der Waals interactions has matured. However, long-range
5802 electrostatic interactions still represent a bottleneck in simulations.
5803 In this article, we introduce the basic issues for an accurate representation
5804 of the relevant electrostatic interactions. In spite of the huge
5805 computational time demanded by most biomolecular systems, it is
5806 no longer necessary to resort to uncontrolled approximations such
5807 as the use of cutoffs. In particular, we discuss the Ewald summation
5808 methods, the fast particle mesh methods, and the fast multipole
5809 methods. We also review recent efforts to understand the role of
5810 boundary conditions in systems with long-range interactions, and
5811 conclude with a short perspective on future trends.},
5812 Annote = {213KJ Times Cited:126 Cited References Count:73},
5813 Author = {C. Sagui and T. A. Darden},
5814 Issn = {1056-8700},
5815 Journal = {Annual Review of Biophysics and Biomolecular Structure},
5816 Pages = {155-179},
5817 Title = {Molecular dynamics simulations of biomolecules: Long-range electrostatic effects},
5818 Uri = {<Go to ISI>://000081271400008},
5819 Volume = {28},
5820 Year = {1999}}
5821
5822 @article{Sandu1999,
5823 Abstract = {Numerical resonance artifacts have become recognized recently as a
5824 limiting factor to increasing the timestep in multiple-timestep
5825 (MTS) biomolecular dynamics simulations. At certain timesteps correlated
5826 to internal motions (e.g., 5 fs, around half the period of the fastest
5827 bond stretch, T-min), visible inaccuracies or instabilities can
5828 occur. Impulse-MTS schemes are vulnerable to these resonance errors
5829 since large energy pulses are introduced to the governing dynamics
5830 equations when the slow forces are evaluated. We recently showed
5831 that such resonance artifacts can be masked significantly by applying
5832 extrapolative splitting to stochastic dynamics. Theoretical and
5833 numerical analyses of force-splitting integrators based on the Verlet
5834 discretization are reported here for linear models to explain these
5835 observations and to suggest how to construct effective integrators
5836 for biomolecular dynamics that balance stability with accuracy.
5837 Analyses for Newtonian dynamics demonstrate the severe resonance
5838 patterns of the Impulse splitting, with this severity worsening
5839 with the outer timestep. Delta t: Constant Extrapolation is generally
5840 unstable, but the disturbances do not grow with Delta t. Thus. the
5841 stochastic extrapolative combination can counteract generic instabilities
5842 and largely alleviate resonances with a sufficiently strong Langevin
5843 heat-bath coupling (gamma), estimates for which are derived here
5844 based on the fastest and slowest motion periods. These resonance
5845 results generally hold for nonlinear test systems: a water tetramer
5846 and solvated protein. Proposed related approaches such as Extrapolation/Correction
5847 and Midpoint Extrapolation work better than Constant Extrapolation
5848 only for timesteps less than T-min/2. An effective extrapolative
5849 stochastic approach for biomolecules that balances long-timestep
5850 stability with good accuracy for the fast subsystem is then applied
5851 to a biomolecule using a three-class partitioning: the medium forces
5852 are treated by Midpoint Extrapolation via position Verlet, and the
5853 slow forces are incorporated by Constant Extrapolation. The resulting
5854 algorithm (LN) performs well on a solvated protein system in terms
5855 of thermodynamic properties and yields an order of magnitude speedup
5856 with respect to single-timestep Langevin trajectories. Computed
5857 spectral density functions also show how the Newtonian modes can
5858 be approximated by using a small gamma in the range Of 5-20 ps(-1).
5859 (C) 1999 Academic Press.},
5860 Annote = {194FM Times Cited:14 Cited References Count:32},
5861 Author = {A. Sandu and T. Schlick},
5862 Issn = {0021-9991},
5863 Journal = {Journal of Computational Physics},
5864 Month = {May 1},
5865 Number = {1},
5866 Pages = {74-113},
5867 Title = {Masking resonance artifacts in force-splitting methods for biomolecular simulations by extrapolative Langevin dynamics},
5868 Uri = {<Go to ISI>://000080181500004},
5869 Volume = {151},
5870 Year = {1999}}
5871
5872 @article{Sasaki2004,
5873 Abstract = {Tris(2-aminoethyl) amine derivatives with appended urea and sulfonamide
5874 groups are shown to facilitate the translocation of fluorescent
5875 phospholipid probes and endogenous phosphatidylserine across vesicle
5876 and erythrocyte cell membranes. The synthetic translocases appear
5877 to operate by binding to the phospholipid head groups and forming
5878 lipophilic supramolecular complexes which diffuse through the non-polar
5879 interior of the bilayer membrane.},
5880 Annote = {760PX Times Cited:8 Cited References Count:25},
5881 Author = {Y. Sasaki and R. Shukla and B. D. Smith},
5882 Issn = {1477-0520},
5883 Journal = {Organic \& Biomolecular Chemistry},
5884 Number = {2},
5885 Pages = {214-219},
5886 Title = {Facilitated phosphatidylserine flip-flop across vesicle and cell membranes using urea-derived synthetic translocases},
5887 Uri = {<Go to ISI>://000187843800012},
5888 Volume = {2},
5889 Year = {2004}}
5890
5891 @article{Satoh1996,
5892 Abstract = {The effects of dipole-dipole interaction on mesophase formation are
5893 investigated with a Monte Carlo simulation using the dipolar Gay-Berne
5894 potential. It is shown that the dipole moment at the end of a molecule
5895 causes a shift in the nematic-isotropic transition toward higher
5896 temperature and a spread of the temperature range of the nematic
5897 phase and that layer structures with various interdigitations are
5898 formed in the smectic phase.},
5899 Annote = {Uq975 Times Cited:32 Cited References Count:33},
5900 Author = {K. Satoh and S. Mita and S. Kondo},
5901 Issn = {0009-2614},
5902 Journal = {Chemical Physics Letters},
5903 Month = {Jun 7},
5904 Number = {1-3},
5905 Pages = {99-104},
5906 Title = {Monte Carlo simulations using the dipolar Gay-Berne model: Effect of terminal dipole moment on mesophase formation},
5907 Uri = {<Go to ISI>://A1996UQ97500017},
5908 Volume = {255},
5909 Year = {1996}}
5910
5911 @article{Schaps1999,
5912 Annote = {163EC Times Cited:0 Cited References Count:0},
5913 Author = {G. L. Schaps},
5914 Issn = {1044-789X},
5915 Journal = {Dr Dobbs Journal},
5916 Month = {Mar},
5917 Number = {3},
5918 Pages = {84-+},
5919 Title = {Compiler construction with ANTLR and Java - Tools for building tools},
5920 Uri = {<Go to ISI>://000078389200023},
5921 Volume = {24},
5922 Year = {1999}}
5923
5924 @article{Shen2002,
5925 Abstract = {Met-enkephalin is one of the smallest opiate peptides. Yet, its dynamical
5926 structure and receptor docking mechanism are still not well understood.
5927 The conformational dynamics of this neuron peptide in liquid water
5928 are studied here by using all-atom molecular dynamics (MID) and
5929 implicit water Langevin dynamics (LD) simulations with AMBER potential
5930 functions and the three-site transferable intermolecular potential
5931 (TIP3P) model for water. To achieve the same simulation length in
5932 physical time, the full MID simulations require 200 times as much
5933 CPU time as the implicit water LID simulations. The solvent hydrophobicity
5934 and dielectric behavior are treated in the implicit solvent LD simulations
5935 by using a macroscopic solvation potential, a single dielectric
5936 constant, and atomic friction coefficients computed using the accessible
5937 surface area method with the TIP3P model water viscosity as determined
5938 here from MID simulations for pure TIP3P water. Both the local and
5939 the global dynamics obtained from the implicit solvent LD simulations
5940 agree very well with those from the explicit solvent MD simulations.
5941 The simulations provide insights into the conformational restrictions
5942 that are associated with the bioactivity of the opiate peptide dermorphin
5943 for the delta-receptor.},
5944 Annote = {540MH Times Cited:36 Cited References Count:45},
5945 Author = {M. Y. Shen and K. F. Freed},
5946 Issn = {0006-3495},
5947 Journal = {Biophysical Journal},
5948 Month = {Apr},
5949 Number = {4},
5950 Pages = {1791-1808},
5951 Title = {Long time dynamics of met-enkephalin: Comparison of explicit and implicit solvent models},
5952 Uri = {<Go to ISI>://000174932400010},
5953 Volume = {82},
5954 Year = {2002}}
5955
5956 @article{Shillcock2005,
5957 Annote = {901QJ Times Cited:9 Cited References Count:23},
5958 Author = {J. C. Shillcock and R. Lipowsky},
5959 Issn = {1476-1122},
5960 Journal = {Nature Materials},
5961 Month = {Mar},
5962 Number = {3},
5963 Pages = {225-228},
5964 Title = {Tension-induced fusion of bilayer membranes and vesicles},
5965 Uri = {<Go to ISI>://000227296700019},
5966 Volume = {4},
5967 Year = {2005}}
5968
5969 @article{Shimada1993,
5970 Abstract = {To make improved treatments of electrostatic interactions in biomacromolecular
5971 simulations, two possibilities are considered. The first is the
5972 famous particle-particle and particle-mesh (PPPM) method developed
5973 by Hockney and Eastwood, and the second is a new one developed here
5974 in their spirit but by the use of the multipole expansion technique
5975 suggested by Ladd. It is then numerically found that the new PPPM
5976 method gives more accurate results for a two-particle system at
5977 small separation of particles. Preliminary numerical examination
5978 of the various computational methods for a single configuration
5979 of a model BPTI-water system containing about 24,000 particles indicates
5980 that both of the PPPM methods give far more accurate values with
5981 reasonable computational cost than do the conventional truncation
5982 methods. It is concluded the two PPPM methods are nearly comparable
5983 in overall performance for the many-particle systems, although the
5984 first method has the drawback that the accuracy in the total electrostatic
5985 energy is not high for configurations of charged particles randomly
5986 generated.},
5987 Annote = {Lh164 Times Cited:27 Cited References Count:47},
5988 Author = {J. Shimada and H. Kaneko and T. Takada},
5989 Issn = {0192-8651},
5990 Journal = {Journal of Computational Chemistry},
5991 Month = {Jul},
5992 Number = {7},
5993 Pages = {867-878},
5994 Title = {Efficient Calculations of Coulombic Interactions in Biomolecular Simulations with Periodic Boundary-Conditions},
5995 Uri = {<Go to ISI>://A1993LH16400011},
5996 Volume = {14},
5997 Year = {1993}}
5998
5999 @article{Skeel2002,
6000 Abstract = {The best simple method for Newtonian molecular dynamics is indisputably
6001 the leapfrog Stormer-Verlet method. The appropriate generalization
6002 to simple Langevin dynamics is unclear. An analysis is presented
6003 comparing an 'impulse method' (kick; fluctuate; kick), the 1982
6004 method of van Gunsteren and Berendsen, and the Brunger-Brooks-Karplus
6005 (BBK) method. It is shown how the impulse method and the van Gunsteren-Berendsen
6006 methods can be implemented as efficiently as the BBK method. Other
6007 considerations suggest that the impulse method is the best basic
6008 method for simple Langevin dynamics, with the van Gunsteren-Berendsen
6009 method a close contender.},
6010 Annote = {633RX Times Cited:8 Cited References Count:22},
6011 Author = {R. D. Skeel and J. A. Izaguirre},
6012 Issn = {0026-8976},
6013 Journal = {Molecular Physics},
6014 Month = {Dec 20},
6015 Number = {24},
6016 Pages = {3885-3891},
6017 Title = {An impulse integrator for Langevin dynamics},
6018 Uri = {<Go to ISI>://000180297200014},
6019 Volume = {100},
6020 Year = {2002}}
6021
6022 @article{Skeel1997,
6023 Abstract = {The following integration methods for special second-order ordinary
6024 differential equations are studied: leapfrog, implicit midpoint,
6025 trapezoid, Stormer-Verlet, and Cowell-Numerov. We show that all
6026 are members, or equivalent to members, of a one-parameter family
6027 of schemes. Some methods have more than one common form, and we
6028 discuss a systematic enumeration of these forms. We also present
6029 a stability and accuracy analysis based on the idea of ''modified
6030 equations'' and a proof of symplecticness. It follows that Cowell-Numerov
6031 and ''LIM2'' (a method proposed by Zhang and Schlick) are symplectic.
6032 A different interpretation of the values used by these integrators
6033 leads to higher accuracy and better energy conservation. Hence,
6034 we suggest that the straightforward analysis of energy conservation
6035 is misleading.},
6036 Annote = {We981 Times Cited:30 Cited References Count:35},
6037 Author = {R. D. Skeel and G. H. Zhang and T. Schlick},
6038 Issn = {1064-8275},
6039 Journal = {Siam Journal on Scientific Computing},
6040 Month = {Jan},
6041 Number = {1},
6042 Pages = {203-222},
6043 Title = {A family of symplectic integrators: Stability, accuracy, and molecular dynamics applications},
6044 Uri = {<Go to ISI>://A1997WE98100012},
6045 Volume = {18},
6046 Year = {1997}}
6047
6048 @article{Tao2005,
6049 Abstract = {Recently a microscopic theory for the dynamics of suspensions of long
6050 thin rigid rods was presented, confirming and expanding the well-known
6051 theory by Doi and Edwards [The Theory of Polymer Dynamics (Clarendon,
6052 Oxford, 1986)] and Kuzuu [J. Phys. Soc. Jpn. 52, 3486 (1983)]. Here
6053 this theory is put to the test by comparing it against computer
6054 simulations. A Brownian dynamics simulation program was developed
6055 to follow the dynamics of the rods, with a length over a diameter
6056 ratio of 60, on the Smoluchowski time scale. The model accounts
6057 for excluded volume interactions between rods, but neglects hydrodynamic
6058 interactions. The self-rotational diffusion coefficients D-r(phi)
6059 of the rods were calculated by standard methods and by a new, more
6060 efficient method based on calculating average restoring torques.
6061 Collective decay of orientational order was calculated by means
6062 of equilibrium and nonequilibrium simulations. Our results show
6063 that, for the currently accessible volume fractions, the decay times
6064 in both cases are virtually identical. Moreover, the observed decay
6065 of diffusion coefficients with volume fraction is much quicker than
6066 predicted by the theory, which is attributed to an oversimplification
6067 of dynamic correlations in the theory. (c) 2005 American Institute
6068 of Physics.},
6069 Annote = {943DN Times Cited:3 Cited References Count:26},
6070 Author = {Y. G. Tao and W. K. {den Otter} and J. T. Padding and J. K. G. Dhont and W. J. Briels},
6071 Issn = {0021-9606},
6072 Journal = {Journal of Chemical Physics},
6073 Month = {Jun 22},
6074 Number = {24},
6075 Pages = {-},
6076 Title = {Brownian dynamics simulations of the self- and collective rotational diffusion coefficients of rigid long thin rods},
6077 Uri = {<Go to ISI>://000230332400077},
6078 Volume = {122},
6079 Year = {2005}}
6080
6081 @book{Tolman1979,
6082 Address = {New York},
6083 Author = {R.~C. Tolman},
6084 Chapter = {2},
6085 Pages = {19-22},
6086 Publisher = {Dover Publications, Inc.},
6087 Title = {The Principles of Statistical Mechanics},
6088 Year = {1979}}
6089
6090 @article{Tu1995,
6091 Abstract = {We report a constant pressure and temperature molecular dynamics simulation
6092 of a fully hydrated liquid crystal (L(alpha) phase bilayer of dipalmitoylphosphatidylcholine
6093 at 50 degrees C and 28 water molecules/lipid. We have shown that
6094 the bilayer is stable throughout the 1550-ps simulation and have
6095 demonstrated convergence of the system dimensions. Several important
6096 aspects of the bilayer structure have been investigated and compared
6097 favorably with experimental results. For example, the average positions
6098 of specific carbon atoms along the bilayer normal agree well with
6099 neutron diffraction data, and the electron density profile is in
6100 accord with x-ray diffraction results. The hydrocarbon chain deuterium
6101 order parameters agree reasonably well with NMR results for the
6102 middles of the chains, but the simulation predicts too much order
6103 at the chain ends. In spite of the deviations in the order parameters,
6104 the hydrocarbon chain packing density appears to be essentially
6105 correct, inasmuch as the area/lipid and bilayer thickness are in
6106 agreement with the most refined experimental estimates. The deuterium
6107 order parameters for the glycerol and choline groups, as well as
6108 the phosphorus chemical shift anisotropy, are in qualitative agreement
6109 with those extracted from NMR measurements.},
6110 Annote = {Tv018 Times Cited:108 Cited References Count:34},
6111 Author = {K. Tu and D. J. Tobias and M. L. Klein},
6112 Issn = {0006-3495},
6113 Journal = {Biophysical Journal},
6114 Month = {Dec},
6115 Number = {6},
6116 Pages = {2558-2562},
6117 Title = {Constant pressure and temperature molecular dynamics simulation of a fully hydrated liquid crystal phase dipalmitoylphosphatidylcholine bilayer},
6118 Uri = {<Go to ISI>://A1995TV01800037},
6119 Volume = {69},
6120 Year = {1995}}
6121
6122 @article{Tuckerman1992,
6123 Abstract = {The Trotter factorization of the Liouville propagator is used to generate
6124 new reversible molecular dynamics integrators. This strategy is
6125 applied to derive reversible reference system propagator algorithms
6126 (RESPA) that greatly accelerate simulations of systems with a separation
6127 of time scales or with long range forces. The new algorithms have
6128 all of the advantages of previous RESPA integrators but are reversible,
6129 and more stable than those methods. These methods are applied to
6130 a set of paradigmatic systems and are shown to be superior to earlier
6131 methods. It is shown how the new RESPA methods are related to predictor-corrector
6132 integrators. Finally, we show how these methods can be used to accelerate
6133 the integration of the equations of motion of systems with Nose
6134 thermostats.},
6135 Annote = {Je891 Times Cited:680 Cited References Count:19},
6136 Author = {M. Tuckerman and B. J. Berne and G. J. Martyna},
6137 Issn = {0021-9606},
6138 Journal = {Journal of Chemical Physics},
6139 Month = {Aug 1},
6140 Number = {3},
6141 Pages = {1990-2001},
6142 Title = {Reversible Multiple Time Scale Molecular-Dynamics},
6143 Uri = {<Go to ISI>://A1992JE89100044},
6144 Volume = {97},
6145 Year = {1992}}
6146
6147 @book{Varadarajan1974,
6148 Address = {New York},
6149 Author = {V.S. Varadarajan},
6150 Publisher = {Prentice-Hall},
6151 Title = {Lie groups, Lie algebras, and their representations},
6152 Year = {1974}}
6153
6154 @article{Vincent1995,
6155 Abstract = {We have implemented a portable parallel version of the macromolecular
6156 modeling package AMBER4. The message passing paradigm was used.
6157 All message passing constructs are compliant with the Message Passing
6158 Interface (MPI) standard. The molecular dynamics/minimization module
6159 MINMD and the free-energy perturbation module Gibbs have been implemented
6160 in parallel on a number of machines, including a Gray T3D, an IBM
6161 SP1/SP2, and a collection of networked workstations. In addition,
6162 the code has been tested with an MPI implementation from Argonne
6163 National Laboratories/Mississippi State University which runs on
6164 many parallel machines. The goal of this work is to decrease the
6165 amount of time required to perform molecular dynamics simulations.
6166 Performance results for a Lipid bilayer molecular dynamics simulation
6167 on a Gray T3D, an IBM SP1/SPZ and a Gray C90 are compared. (C) 1995
6168 by John Wiley & Sons, Inc.},
6169 Annote = {Ta403 Times Cited:16 Cited References Count:23},
6170 Author = {J. J. Vincent and K. M. Merz},
6171 Issn = {0192-8651},
6172 Journal = {Journal of Computational Chemistry},
6173 Month = {Nov},
6174 Number = {11},
6175 Pages = {1420-1427},
6176 Title = {A Highly Portable Parallel Implementation of Amber4 Using the Message-Passing Interface Standard},
6177 Uri = {<Go to ISI>://A1995TA40300009},
6178 Volume = {16},
6179 Year = {1995}}
6180
6181 @article{Wegener1979,
6182 Author = {W.~A. Wegener, V.~J. Koester and R.~M. Dowben},
6183 Journal = {Proc. Natl. Acad. Sci.},
6184 Number = {12},
6185 Pages = {6356-6360},
6186 Title = {A general ellipsoid can not always serve as a modle for the rotational diffusion properties of arbitrary shaped rigid molecules},
6187 Volume = {76},
6188 Year = {1979}}
6189
6190 @article{Wilson2006,
6191 Author = {G.~V. Wilson},
6192 Journal = {American Scientist},
6193 Title = {Where's the Real Bottleneck in Scientific Computing?},
6194 Volume = {94},
6195 Year = {2006}}
6196
6197 @article{Withers2003,
6198 Abstract = {The effects of longitudinal quadrupole moments on the formation of
6199 liquid crystalline phases are studied by means of constant NPT Monte
6200 Carlo simulation methods. The popular Gay-Berne model mesogen is
6201 used as the reference fluid, which displays the phase sequences
6202 isotropic-smectic A-smectic B and isotropic-smectic B at high (T*=2.0)
6203 and low (T*=1.5) temperatures, respectively. With increasing quadrupole
6204 magnitude the smectic phases are observed to be stabilized with
6205 respect to the isotropic liquid, while the smectic B is destabilized
6206 with respect to the smectic A. At the lower temperature, a sufficiently
6207 large quadrupole magnitude results in the injection of the smectic
6208 A phase into the phase sequence and the replacement of the smectic
6209 B phase by the tilted smectic J phase. The nematic phase is also
6210 injected into the phase sequence at both temperatures considered,
6211 and ultimately for sufficiently large quadrupole magnitudes no coherent
6212 layered structures were observed. The stabilization of the smectic
6213 A phase supports the commonly held belief that, while the inclusion
6214 of polar groups is not a prerequisite for the formation of the smectic
6215 A phase, quadrupolar interactions help to increase the temperature
6216 and pressure range for which the smectic A phase is observed. The
6217 quality of the layered structure is worsened with increasing quadrupole
6218 magnitude. This behavior, along with the injection of the nematic
6219 phase into the phase sequence, indicate that the general tendency
6220 of the quadrupolar interactions is to destabilize the layered structure.
6221 A pressure dependence upon the smectic layer spacing is observed.
6222 This behavior is in much closer agreement with experimental findings
6223 than has been observed previously for nonpolar Gay-Berne and hard
6224 spherocylinder models. (C) 2003 American Institute of Physics.},
6225 Annote = {738EF Times Cited:3 Cited References Count:43},
6226 Author = {I. M. Withers},
6227 Issn = {0021-9606},
6228 Journal = {Journal of Chemical Physics},
6229 Month = {Nov 15},
6230 Number = {19},
6231 Pages = {10209-10223},
6232 Title = {Effects of longitudinal quadrupoles on the phase behavior of a Gay-Berne fluid},
6233 Uri = {<Go to ISI>://000186273200027},
6234 Volume = {119},
6235 Year = {2003}}
6236
6237 @article{Wolf1999,
6238 Abstract = {Based on a recent result showing that the net Coulomb potential in
6239 condensed ionic systems is rather short ranged, an exact and physically
6240 transparent method permitting the evaluation of the Coulomb potential
6241 by direct summation over the r(-1) Coulomb pair potential is presented.
6242 The key observation is that the problems encountered in determining
6243 the Coulomb energy by pairwise, spherically truncated r(-1) summation
6244 are a direct consequence of the fact that the system summed over
6245 is practically never neutral. A simple method is developed that
6246 achieves charge neutralization wherever the r(-1) pair potential
6247 is truncated. This enables the extraction of the Coulomb energy,
6248 forces, and stresses from a spherically truncated, usually charged
6249 environment in a manner that is independent of the grouping of the
6250 pair terms. The close connection of our approach with the Ewald
6251 method is demonstrated and exploited, providing an efficient method
6252 for the simulation of even highly disordered ionic systems by direct,
6253 pairwise r(-1) summation with spherical truncation at rather short
6254 range, i.e., a method which fully exploits the short-ranged nature
6255 of the interactions in ionic systems. The method is validated by
6256 simulations of crystals, liquids, and interfacial systems, such
6257 as free surfaces and grain boundaries. (C) 1999 American Institute
6258 of Physics. [S0021-9606(99)51517-1].},
6259 Annote = {189PD Times Cited:70 Cited References Count:34},
6260 Author = {D. Wolf and P. Keblinski and S. R. Phillpot and J. Eggebrecht},
6261 Issn = {0021-9606},
6262 Journal = {Journal of Chemical Physics},
6263 Month = {May 1},
6264 Number = {17},
6265 Pages = {8254-8282},
6266 Title = {Exact method for the simulation of Coulombic systems by spherically truncated, pairwise r(-1) summation},
6267 Uri = {<Go to ISI>://000079913000008},
6268 Volume = {110},
6269 Year = {1999}}
6270
6271 @article{Yoshida1990,
6272 Annote = {Ej798 Times Cited:492 Cited References Count:9},
6273 Author = {H. Yoshida},
6274 Issn = {0375-9601},
6275 Journal = {Physics Letters A},
6276 Month = {Nov 12},
6277 Number = {5-7},
6278 Pages = {262-268},
6279 Title = {Construction of Higher-Order Symplectic Integrators},
6280 Uri = {<Go to ISI>://A1990EJ79800009},
6281 Volume = {150},
6282 Year = {1990}}
6283
6284 @article{Blum1972,
6285 Author = {L. Blum and A.~J. Torruella},
6286 Journal = {Journal of Chemical Physics},
6287 Number = 1,
6288 Pages = {303-309},
6289 Title = {Computer simulations of bilayer membranes: Self-assembly and interfacial tension},
6290 Volume = 56,
6291 Year = 1972}
6292
6293 @article{Stone1978,
6294 Author = {A.~J. Stone},
6295 Journal = {Molecular Physics},
6296 Number = 1,
6297 Pages = {241-256},
6298 Title = {The description of bimolecular potentials, forces and torques: the S and V function expansions},
6299 Volume = 36,
6300 Year = 1978}
6301
6302 @article{Berardi2003,
6303 Author = {R. Berardi, M. Cecchini and C. Zannoni},
6304 Journal = {Journal of Chemical Physics},
6305 Number = 18,
6306 Pages = {9933-9946},
6307 Title = {A Monte Carlo study of the chiral columnar organizations of dissymmetric discotic mesogens},
6308 Volume = 119,
6309 Year = 2003}
6310
6311 @article{Beard2000,
6312 Author = {D. A. Beard and T. Schlick},
6313 Journal = {Journal of Chemical Physics},
6314 Number = 17,
6315 Pages = {7313-7322},
6316 Title = {Inertial Stochastic Dynamics. I. Long-time-step Methods for Langevin Dynamics},
6317 Volume = 112,
6318 Year = 2000}
6319
6320 @book{Hirsch1997,
6321 Address = {New York},
6322 Author = {M.W. Hirsch},
6323 Publisher = {Springer},
6324 Title = {Differential Topology},
6325 Year = {1997}}
6326
6327 @book{Jost2002,
6328 Address = {Berlin},
6329 Author = {J. Jost},
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