-
1
-
-
1542786663
-
Diffuse-interface methods in fluid mechanics
-
D. M. Anderson, G. B. McFadden, and A. A. Wheeler, Diffuse-interface methods in fluid mechanics, Ann. Rev. Fluid Mech., 30 (1998), pp. 139-165.
-
(1998)
Ann. Rev. Fluid Mech.
, vol.30
, pp. 139-165
-
-
Anderson, D.M.1
McFadden, G.B.2
Wheeler, A.A.3
-
2
-
-
79251519623
-
Approximation of Helfrich's functional via diffuse interfaces
-
G. Bellettini and L. Mugnai, Approximation of Helfrich's functional via diffuse interfaces, SIAM J. Math. Anal., 42 (2010), pp. 2402-2433.
-
(2010)
SIAM J. Math. Anal.
, vol.42
, pp. 2402-2433
-
-
Bellettini, G.1
Mugnai, L.2
-
3
-
-
27944442365
-
Sharp-interface projection of a fluctuating phase-field model
-
R. Benítez and L. Ramírez-Piscina, Sharp-interface projection of a fluctuating phase-field model, Phys. Rev. E, 71 (2005), p. 061603.
-
(2005)
Phys. Rev. e
, vol.71
, pp. 061603
-
-
Benítez, R.1
Ramírez-Piscina, L.2
-
4
-
-
0036040289
-
Phase-field simulation of solidification
-
DOI 10.1146/annurev.matsci.32.101901.155803
-
W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma, Phase-field simulation of solidification, Annu. Rev. Materials Res., 32 (2002), pp. 163-194. (Pubitemid 34992569)
-
(2002)
Annual Review of Materials Science
, vol.32
, pp. 163-194
-
-
Boettinger, W.J.1
Warren, J.A.2
Beckermann, C.3
Karma, A.4
-
5
-
-
80054979521
-
Yukawa-field approximation of electrostatic free energy and dielectric boundary force
-
H. B. Cheng, L.-T. Cheng, and B. Li, Yukawa-field approximation of electrostatic free energy and dielectric boundary force, Nonlinearity, 24 (2011), pp. 3215-3236.
-
(2011)
Nonlinearity
, vol.24
, pp. 3215-3236
-
-
Cheng, H.B.1
Cheng, L.-T.2
Li, B.3
-
6
-
-
34548378695
-
Application of the level-set method to the implicit solvation of nonpolar molecules
-
L.-T. Cheng, J. Dzubiella, J. A. McCammon, and B. Li, Application of the level-set method to the implicit solvation of nonpolar molecules, J. Chem. Phys., 127 (2007), 084503.
-
(2007)
J. Chem. Phys.
, vol.127
, pp. 084503
-
-
Cheng, L.-T.1
Dzubiella, J.2
McCammon, J.A.3
Li, B.4
-
7
-
-
77956407030
-
Level-set minimization of potential controlled Hadwiger valuations for molecular solvation
-
L.-T. Cheng, B. Li, and Z. Wang, Level-set minimization of potential controlled Hadwiger valuations for molecular solvation, J. Comput. Phys., 229 (2010), pp. 8497-8510.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 8497-8510
-
-
Cheng, L.-T.1
Li, B.2
Wang, Z.3
-
8
-
-
70350482625
-
Interfaces and hydrophobic interactions in receptor-ligand systems: A level-set variational implicit solvent approach
-
L.-T. Cheng, Z. Wang, P. Setny, J. Dzubiella, B. Li, and J. A. McCammon, Interfaces and hydrophobic interactions in receptor-ligand systems: A level-set variational implicit solvent approach, J. Chem. Phys., 131 (2009), p. 144102.
-
(2009)
J. Chem. Phys.
, vol.131
, pp. 144102
-
-
Cheng, L.-T.1
Wang, Z.2
Setny, P.3
Dzubiella, J.4
Li, B.5
McCammon, J.A.6
-
9
-
-
65249120770
-
Coupling the level-set method with molecular mechanics for variational implicit solvation of nonpolar molecules
-
L.-T. Cheng, Y. Xie, J. Dzubiella, J. A. McCammon, J. Che, and B. Li, Coupling the level-set method with molecular mechanics for variational implicit solvation of nonpolar molecules, J. Chem. Theory Comput., 5 (2009), pp. 257-266.
-
(2009)
J. Chem. Theory Comput.
, vol.5
, pp. 257-266
-
-
Cheng, L.-T.1
Xie, Y.2
Dzubiella, J.3
McCammon, J.A.4
Che, J.5
Li, B.6
-
10
-
-
0036036465
-
Phase-field models of microstructure evolution
-
L.-Q. Chen, Phase-field models of microstructure evolution, Annu. Rev. Materials Res., 32 (2002), pp. 113-140.
-
(2002)
Annu. Rev. Materials Res.
, vol.32
, pp. 113-140
-
-
Chen, L.-Q.1
-
11
-
-
77956414486
-
Differential geometry based solvation model I: Eulerian formulation
-
Z. Chen, N. A. Baker, and G. W. Wei, Differential geometry based solvation model I: Eulerian formulation, J. Comput. Phys., 229 (2010), pp. 8231-8258.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 8231-8258
-
-
Chen, Z.1
Baker, N.A.2
Wei, G.W.3
-
12
-
-
4243463817
-
Electrostatics in biomolecular structure and dynamics
-
M. E. Davis and J. A. McCammon, Electrostatics in biomolecular structure and dynamics, Chem. Rev., 90 (1990), pp. 509-521.
-
(1990)
Chem. Rev.
, vol.90
, pp. 509-521
-
-
Davis, M.E.1
McCammon, J.A.2
-
13
-
-
29144514194
-
A phase field formulation of the Willmore problem
-
DOI 10.1088/0951-7715/18/3/016
-
Q. Du, C. Liu, R. Ryham, and X. Wang, A phase field formulation of the Willmore problem, Nonlinearity, 18 (2005), pp. 1249-1267. (Pubitemid 43025962)
-
(2005)
Nonlinearity
, vol.18
, Issue.3
, pp. 1249-1267
-
-
Du, Q.1
Liu, C.2
Ryham, R.3
Wang, X.4
-
14
-
-
3242875567
-
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
-
DOI 10.1016/j.jcp.2004.01.029, PII S0021999104000373
-
Q. Du, C. Liu, and X. Wang, A phase field approach in the numerical study of the elastic bending energy for vesicle memberanes, J. Comput. Phys., 198 (2004), pp. 450-468. (Pubitemid 38999047)
-
(2004)
Journal of Computational Physics
, vol.198
, Issue.2
, pp. 450-468
-
-
Du, Q.1
Liu, C.2
Wang, X.3
-
15
-
-
33644682762
-
Coupling hydrophobicity, dispersion, and electrostatics in continuum solvent models
-
J. Dzubiella, J. M. J. Swanson, and J. A. McCammon, Coupling hydrophobicity, dispersion, and electrostatics in continuum solvent models, Phys. Rev. Lett., 96 (2006), 087802.
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 087802
-
-
Dzubiella, J.1
Swanson, J.M.J.2
McCammon, J.A.3
-
16
-
-
33644594508
-
Coupling nonpolar and polar solvation free energies in implicit solvent models
-
J. Dzubiella, J. M. J. Swanson, and J. A. McCammon, Coupling nonpolar and polar solvation free energies in implicit solvent models, J. Chem. Phys., 124 (2006), 084905.
-
(2006)
J. Chem. Phys.
, vol.124
, pp. 084905
-
-
Dzubiella, J.1
Swanson, J.M.J.2
McCammon, J.A.3
-
19
-
-
1942456697
-
Recent advances in the development and application of implicit solvent models in biomolecule simulations
-
DOI 10.1016/j.sbi.2004.03.009, PII S0959440X04000430
-
M. Feig and C. L. Brooks III, Recent advances in the development and applications of implicit solvent models in biomolecule simulations, Curr. Opinion Struct. Biology, 14 (2004), pp. 217-224. (Pubitemid 38495800)
-
(2004)
Current Opinion in Structural Biology
, vol.14
, Issue.2
, pp. 217-224
-
-
Feig, M.1
Brooks III, C.L.2
-
20
-
-
0001008594
-
An integral formula for total gradient variation
-
W. H. Fleming and R. Rishel, An integral formula for total gradient variation, Arch.Math., 11 (1960), pp. 218-222.
-
(1960)
Arch.Math.
, vol.11
, pp. 218-222
-
-
Fleming, W.H.1
Rishel, R.2
-
21
-
-
0036873086
-
The Poisson-Boltzmann equation for biomolecular electrostatics: A tool for structural biology
-
DOI 10.1002/jmr.577
-
F. Fogolari, A. Brigo, and H. Molinari, The Poisson-Boltzmann equation for biomolecular electrostatics: A tool for structural biology, J. Mol. Recognit., 15 (2002), pp. 377-392. (Pubitemid 36101029)
-
(2002)
Journal of Molecular Recognition
, vol.15
, Issue.6
, pp. 377-392
-
-
Fogolari, F.1
Brigo, A.2
Molinari, H.3
-
22
-
-
4243832206
-
Diffuse interface in a critical fluid mixture
-
G. H. Gilmer, W. Gilmore, J. Huang, and W. W. Webb, Diffuse interface in a critical fluid mixture, Phys. Rev. Lett., 14 (1965), pp. 491-494.
-
(1965)
Phys. Rev. Lett.
, vol.14
, pp. 491-494
-
-
Gilmer, G.H.1
Gilmore, W.2
Huang, J.3
Webb, W.W.4
-
24
-
-
38949141177
-
Review: Continuum molecular electrostatics, salt effects, and counterion binding - A review of the Poisson-Boltzmann theory and its modifications
-
DOI 10.1002/bip.20877
-
P. Grochowski and J. Trylska, Continuum molecular electrostatics, salt effects and counterion binding - A review of the Poisson-Boltzmann model and its modifications, Biopolymers, 89 (2008), pp. 93-113. (Pubitemid 351211641)
-
(2008)
Biopolymers
, vol.89
, Issue.2
, pp. 93-113
-
-
Grochowski, P.1
Trylska, J.2
-
25
-
-
4244131779
-
Phase-field model of mode III dynamic fracture
-
A. Karma, D. Kessler, and H. Levine, Phase-field model of mode III dynamic fracture, Phys. Rev. Lett., 87 (2001), p. 045501.
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 045501
-
-
Karma, A.1
Kessler, D.2
Levine, H.3
-
26
-
-
0000752997
-
Phase-field model of dendritic sidebranching with thermal noise
-
A. Karma and W. J. Rappel, Phase-field model of dendritic sidebranching with thermal noise, Phys. Rev. E, 60 (1999), pp. 3614-3625. (Pubitemid 129651253)
-
(1999)
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
, vol.60
, Issue.4 A
, pp. 3614-3625
-
-
Karma, A.1
Rappel, W.-J.2
-
28
-
-
33645820084
-
Large-scale moleculardynamics simulation of nanoscale hydrophobic interaction and nanobubble formation
-
T. Koshi, K. Yasuoka, T. Ebisuzaki, S. Yoo, and X. C. Zeng, Large-scale moleculardynamics simulation of nanoscale hydrophobic interaction and nanobubble formation, J. Chem. Phys., 123 (2005), 204707.
-
(2005)
J. Chem. Phys.
, vol.123
, pp. 204707
-
-
Koshi, T.1
Yasuoka, K.2
Ebisuzaki, T.3
Yoo, S.4
Zeng, X.C.5
-
29
-
-
20844462054
-
Nanoscale hydrophobic interaction and nanobubble nucleation
-
T. Koshi, S. Yoo, K. Yasuoka, X. C. Zeng, T. Narumi, R. Susukita, A. Kawai, H. Furusawa, A. Suenaga, N. Okimoto, N. Futatsugi, and T. Ebisuzaki, Nanoscale hydrophobic interaction and nanobubble nucleation, Phys. Rev. Lett., 93 (2004), 185701.
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 185701
-
-
Koshi, T.1
Yoo, S.2
Yasuoka, K.3
Zeng, X.C.4
Narumi, T.5
Susukita, R.6
Kawai, A.7
Furusawa, H.8
Suenaga, A.9
Okimoto, N.10
Futatsugi, N.11
Ebisuzaki, T.12
-
30
-
-
0000262022
-
Models of pattern formation in first-order phase transitions
-
G. Grinstein and G. Mazenko, eds., World Scientific, River Edge, NJ
-
J. S. Langer, Models of pattern formation in first-order phase transitions, in Directions in Condensed Matter Physics, G. Grinstein and G. Mazenko, eds., World Scientific, River Edge, NJ, 1986.
-
(1986)
Directions in Condensed Matter Physics
-
-
Langer, J.S.1
-
31
-
-
84862908482
-
Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: A shape derivative approach
-
B. Li., X.-L. Cheng, and Z.-F. Zhang, Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: A shape derivative approach, SIAM J. Appl. Math., 71 (2011), pp. 2093-2111.
-
(2011)
SIAM J. Appl. Math.
, vol.71
, pp. 2093-2111
-
-
Li, B.1
Cheng, X.-L.2
Zhang, Z.-F.3
-
32
-
-
70350480299
-
Minimization of electrostatic free energy and the Poisson-Boltzmann equation for molecular solvation with implicit solvent
-
B. Li, Minimization of electrostatic free energy and the Poisson-Boltzmann equation for molecular solvation with implicit solvent, SIAM J. Math. Anal., 40 (2009), pp. 2536-2566.
-
(2009)
SIAM J. Math. Anal.
, vol.40
, pp. 2536-2566
-
-
Li, B.1
-
33
-
-
84866597924
-
Are hydrodynamic interactions important in the kinetics of hydrophobic collapse?
-
J. Li, J. A. Morrone, and B. J. Berne, Are hydrodynamic interactions important in the kinetics of hydrophobic collapse?, J. Phys. Chem. B, 116 (2012), pp. 11537-11544.
-
(2012)
J. Phys. Chem. B
, vol.116
, pp. 11537-11544
-
-
Li, J.1
Morrone, J.A.2
Berne, B.J.3
-
34
-
-
34250109116
-
The gradient theory of phase transitions and the minimal interface criterion
-
L. Modica, The gradient theory of phase transitions and the minimal interface criterion, Arch. Ration. Mech. Anal., 98 (1987), pp. 123-142.
-
(1987)
Arch. Ration. Mech. Anal.
, vol.98
, pp. 123-142
-
-
Modica, L.1
-
35
-
-
0000265293
-
Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition
-
N. C. Owen, J. Rubinstein, and P. Sternberg, Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition, Proc. Roy. Soc. London A, 429 (1990), pp. 505-532.
-
(1990)
Proc. Roy. Soc. London A
, vol.429
, pp. 505-532
-
-
Owen, N.C.1
Rubinstein, J.2
Sternberg, P.3
-
36
-
-
33749607402
-
On a modified conjecture of De Giorgi
-
DOI 10.1007/s00209-006-0002-6
-
M. Röger and R. Schätzle, On a modified conjecture of De Giorgi, Math. Z., 254 (2006), pp. 675-714. (Pubitemid 44546712)
-
(2006)
Mathematische Zeitschrift
, vol.254
, Issue.4
, pp. 675-714
-
-
Roger, M.1
Schatzle, R.2
-
37
-
-
0032968133
-
Implicit solvent models
-
DOI 10.1016/S0301-4622(98)00226-9, PII S0301462298002269
-
B. Roux and T. Simonson, Implicit solvent models, Biophys. Chem., 78 (1999), pp. 1-20. (Pubitemid 29206654)
-
(1999)
Biophysical Chemistry
, vol.78
, Issue.1-2
, pp. 1-20
-
-
Roux, B.1
Simonson, T.2
-
38
-
-
70350751573
-
Dewettingcontrolled binding of ligands to hydrophobic pockets
-
P. Setny, Z. Wang, L.-T. Cheng, B. Li, J. A. McCammon, and J. Dzubiella, Dewettingcontrolled binding of ligands to hydrophobic pockets, Phys. Rev. Lett., 103 (2009), 187801.
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 187801
-
-
Setny, P.1
Wang, Z.2
Cheng, L.-T.3
Li, B.4
McCammon, J.A.5
Dzubiella, J.6
-
39
-
-
77956336109
-
Computational model for cell morphodynamics
-
D. Shao, W.-J. Rappel, and H. Levine, Computational model for cell morphodynamics, Phys. Rev. Lett., 105 (2010), 108104.
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 108104
-
-
Shao, D.1
Rappel, W.-J.2
Levine, H.3
-
41
-
-
34250095380
-
The effect of a singular perturbation on nonconvex variational problems
-
P. Sternberg, The effect of a singular perturbation on nonconvex variational problems, Arch. Ration. Mech. Anal., 101 (1988), pp. 209-260.
-
(1988)
Arch. Ration. Mech. Anal.
, vol.101
, pp. 209-260
-
-
Sternberg, P.1
-
42
-
-
52649175908
-
Asymptotic analysis of phase field formulations of bending elasticity models
-
X. Wang, Asymptotic analysis of phase field formulations of bending elasticity models, SIAM J. Math. Anal., 39 (2008), pp. 1367-1401.
-
(2008)
SIAM J. Math. Anal.
, vol.39
, pp. 1367-1401
-
-
Wang, X.1
-
43
-
-
84863183831
-
Level-set variational implicit solvation with the Coulomb-field approximation
-
Z. Wang, J. Che, L.-T. Cheng, J. Dzubiella, B. Li, and J. A. McCammon, Level-set variational implicit solvation with the Coulomb-field approximation, J. Chem. Theory Comput., 8 (2012), pp. 386-397.
-
(2012)
J. Chem. Theory Comput.
, vol.8
, pp. 386-397
-
-
Wang, Z.1
Che, J.2
Cheng, L.-T.3
Dzubiella, J.4
Li, B.5
McCammon, J.A.6
|