-
2
-
-
37449019878
-
-
Long Chen, M. Holst, Jinchao Xu, The finite element approximation of the nonlinear Poisson-Boltzmann equation, SIAM J. Numer. Anal., in press
-
-
-
-
3
-
-
37449028945
-
-
M. Holst, Bo Li, Boundary-value problems of the Poisson-Boltzmann equation, in preparation
-
-
-
-
4
-
-
84986437211
-
Numerical solution of the Poisson-Boltzmann equation: Developing more robust and efficient methods
-
Holst M., and Saied F. Numerical solution of the Poisson-Boltzmann equation: Developing more robust and efficient methods. J. Comput. Chem. 16 (1995) 337-364
-
(1995)
J. Comput. Chem.
, vol.16
, pp. 337-364
-
-
Holst, M.1
Saied, F.2
-
5
-
-
0000486193
-
Adaptive multilevel finite element solution of the Poisson-Boltzmann equation, I: Algorithms and examples
-
Holst M., Baker N., and Wang F. Adaptive multilevel finite element solution of the Poisson-Boltzmann equation, I: Algorithms and examples. J. Comput. Chem. 21 (2000) 1319-1342
-
(2000)
J. Comput. Chem.
, vol.21
, pp. 1319-1342
-
-
Holst, M.1
Baker, N.2
Wang, F.3
-
6
-
-
33748448490
-
A natural coarse graining for simulating large biomolecular motion
-
Gohlke H., and Thorpe M.F. A natural coarse graining for simulating large biomolecular motion. Biophys. J. 91 (2006) 2115-2120
-
(2006)
Biophys. J.
, vol.91
, pp. 2115-2120
-
-
Gohlke, H.1
Thorpe, M.F.2
-
7
-
-
0141486165
-
Existence of a three-dimensional steady state fluid-structure interaction problem
-
Grandmont C. Existence of a three-dimensional steady state fluid-structure interaction problem. J. Math. Fluid Mech. 4 (2002) 76-94
-
(2002)
J. Math. Fluid Mech.
, vol.4
, pp. 76-94
-
-
Grandmont, C.1
-
10
-
-
33745024278
-
Symmetry, form, and shape: Guiding principles for robustness in macromolecular machines
-
Tama F., and Brooks C.L. Symmetry, form, and shape: Guiding principles for robustness in macromolecular machines. Annu. Rev. Biophys. Biomol. Struct. 35 (2006) 115-133
-
(2006)
Annu. Rev. Biophys. Biomol. Struct.
, vol.35
, pp. 115-133
-
-
Tama, F.1
Brooks, C.L.2
-
11
-
-
0032096837
-
Continuum solvation model: Electrostatic forces from numerical solutions to the Poisson-Bolztmann equation
-
Im W., Beglov D., and Roux B. Continuum solvation model: Electrostatic forces from numerical solutions to the Poisson-Bolztmann equation. Comput. Phys. Comm. 111 (1998) 59-75
-
(1998)
Comput. Phys. Comm.
, vol.111
, pp. 59-75
-
-
Im, W.1
Beglov, D.2
Roux, B.3
-
12
-
-
0000539082
-
The Green function for uniformly elliptic equations
-
Grüter M., and Widman K.-O. The Green function for uniformly elliptic equations. Manuscripta Math. 37 (1982) 303-342
-
(1982)
Manuscripta Math.
, vol.37
, pp. 303-342
-
-
Grüter, M.1
Widman, K.-O.2
-
13
-
-
34250235043
-
Composition of functions in Sobolev spaces
-
Moseenkov V.B. Composition of functions in Sobolev spaces. Ukrainian Math. J. 34 (1982) 316-319
-
(1982)
Ukrainian Math. J.
, vol.34
, pp. 316-319
-
-
Moseenkov, V.B.1
-
14
-
-
0001585447
-
Computation of electrostatic forces on solvated molecules using the Poisson-Boltzmann equation
-
Gilson M.K., Davis M.E., Luty B.A., and McCammon J.A. Computation of electrostatic forces on solvated molecules using the Poisson-Boltzmann equation. J. Phys. Chem. 97 (1993) 3591-3600
-
(1993)
J. Phys. Chem.
, vol.97
, pp. 3591-3600
-
-
Gilson, M.K.1
Davis, M.E.2
Luty, B.A.3
McCammon, J.A.4
-
15
-
-
84986524546
-
Calculating electrostatic forces from grid-calculated potentials
-
Davis M.E., and McCammon J.A. Calculating electrostatic forces from grid-calculated potentials. J. Comput. Chem. 11 (1990) 401-409
-
(1990)
J. Comput. Chem.
, vol.11
, pp. 401-409
-
-
Davis, M.E.1
McCammon, J.A.2
-
16
-
-
2442607721
-
Estimates for elliptic systems from composite material
-
Li Y.Y., and Nirenberg L. Estimates for elliptic systems from composite material. Comm. Pure Appl. Math. 56 (2003) 892-925
-
(2003)
Comm. Pure Appl. Math.
, vol.56
, pp. 892-925
-
-
Li, Y.Y.1
Nirenberg, L.2
-
18
-
-
0000024779
-
The finite element method for elliptic equations with discontinuous coefficients
-
Babuska I. The finite element method for elliptic equations with discontinuous coefficients. Computing 5 (1970) 207-213
-
(1970)
Computing
, vol.5
, pp. 207-213
-
-
Babuska, I.1
-
19
-
-
0032396367
-
Finite element methods and their convergence for elliptic and parabolic interface problems
-
Chen Z., and Zou J. Finite element methods and their convergence for elliptic and parabolic interface problems. Numer. Math. 79 2 (1998) 175-202
-
(1998)
Numer. Math.
, vol.79
, Issue.2
, pp. 175-202
-
-
Chen, Z.1
Zou, J.2
-
20
-
-
0037144961
-
Some new a priori estimates for second order elliptic and parabolic interface problems
-
Huang J., and Zou J. Some new a priori estimates for second order elliptic and parabolic interface problems. J. Differential Equations 184 (2002) 570-586
-
(2002)
J. Differential Equations
, vol.184
, pp. 570-586
-
-
Huang, J.1
Zou, J.2
-
21
-
-
37449000941
-
p and the classical solution of general boundary value problems for elliptic equations with discontinuous coefficients
-
(in Russian)
-
p and the classical solution of general boundary value problems for elliptic equations with discontinuous coefficients. Uspekhi Mat. Nauk 19 (1964) 230-232 (in Russian)
-
(1964)
Uspekhi Mat. Nauk
, vol.19
, pp. 230-232
-
-
Seftel, Z.G.1
-
22
-
-
0141546158
-
Energy inequalities and general boundary problems for elliptic equations with discontinuous coefficients
-
Seftel Z.G. Energy inequalities and general boundary problems for elliptic equations with discontinuous coefficients. Sibirsk. Mat. Zh. 6 (1965) 636-668
-
(1965)
Sibirsk. Mat. Zh.
, vol.6
, pp. 636-668
-
-
Seftel, Z.G.1
-
23
-
-
37449000941
-
Energy inequalities and general boundary problems for elliptic equations with discontinuous coefficients
-
(in Russian)
-
Seftel Z.G. Energy inequalities and general boundary problems for elliptic equations with discontinuous coefficients. Sibirsk. Mat. Zh. 19 (1964) 230-232 (in Russian)
-
(1964)
Sibirsk. Mat. Zh.
, vol.19
, pp. 230-232
-
-
Seftel, Z.G.1
-
24
-
-
1642464809
-
Poisson-Boltzmann methods for biomolecular electrostatics
-
Baker N. Poisson-Boltzmann methods for biomolecular electrostatics. Methods Enzymol. 383 (2004) 94-118
-
(2004)
Methods Enzymol.
, vol.383
, pp. 94-118
-
-
Baker, N.1
-
25
-
-
0025283002
-
Electrostatic interactions in macromolecules: Theory and applications
-
Sharp K., and Honig B. Electrostatic interactions in macromolecules: Theory and applications. Annu. Rev. Biophys. Chem. 19 (1990) 301-332
-
(1990)
Annu. Rev. Biophys. Chem.
, vol.19
, pp. 301-332
-
-
Sharp, K.1
Honig, B.2
-
26
-
-
37449032941
-
-
M. Holst, The Poisson-Boltzmann equation: Analysis and multilevel numerical solution, PhD thesis, Numerical Computing Group, University of Illinois at Urbana-Champaign, 1994
-
-
-
-
27
-
-
85033849708
-
Finite-difference solution of the Poisson-Boltzmann equation: Complete elimination of self-energy
-
Zhou Z., Payne P., Vasquez M., Kuhn N., and Levitt M. Finite-difference solution of the Poisson-Boltzmann equation: Complete elimination of self-energy. J. Comput. Chem. 11 (1996) 1344-1351
-
(1996)
J. Comput. Chem.
, vol.11
, pp. 1344-1351
-
-
Zhou, Z.1
Payne, P.2
Vasquez, M.3
Kuhn, N.4
Levitt, M.5
-
28
-
-
37449017618
-
-
Y.C. Zhou, Michael Feig, G.W. Wei, Highly accurate biomolecular electrostatics in continuum dielectric environments, J. Comput. Chem., in press
-
-
-
-
29
-
-
33845868249
-
Order N algorithm for computation of electrostatic interactions in biomolecular systems
-
Lu B., Cheng X., Huang J., and McCammon J.A. Order N algorithm for computation of electrostatic interactions in biomolecular systems. Proc. Natl. Acad. Sci. USA 103 (2006) 19314-19319
-
(2006)
Proc. Natl. Acad. Sci. USA
, vol.103
, pp. 19314-19319
-
-
Lu, B.1
Cheng, X.2
Huang, J.3
McCammon, J.A.4
-
30
-
-
1142298633
-
Basic theory of dielectrophoresis and electrorotation
-
Jones T.B. Basic theory of dielectrophoresis and electrorotation. IEEE Eng. Med. Biol. Mag. 22 (2003) 33-42
-
(2003)
IEEE Eng. Med. Biol. Mag.
, vol.22
, pp. 33-42
-
-
Jones, T.B.1
-
31
-
-
0000538815
-
Analytical molecular surface calculation
-
Connolly M.L. Analytical molecular surface calculation. J. Appl. Cryst. 16 (1983) 548-558
-
(1983)
J. Appl. Cryst.
, vol.16
, pp. 548-558
-
-
Connolly, M.L.1
-
32
-
-
33746828240
-
A finite element framework for studying the mechanical response of macromolecules: Application to the gating of the mechanosenstive channel MscL
-
Tang Y., Cao G., Chen X., Yoo J., Yethiraj A., and Cui Q. A finite element framework for studying the mechanical response of macromolecules: Application to the gating of the mechanosenstive channel MscL. Biophys. J. 91 (2006) 1248-1263
-
(2006)
Biophys. J.
, vol.91
, pp. 1248-1263
-
-
Tang, Y.1
Cao, G.2
Chen, X.3
Yoo, J.4
Yethiraj, A.5
Cui, Q.6
-
33
-
-
33750972883
-
Finite element modeling of lipid bilayer membranes
-
Feng F., and Klug W.S. Finite element modeling of lipid bilayer membranes. J. Comput. Phys. 220 (2006) 394-408
-
(2006)
J. Comput. Phys.
, vol.220
, pp. 394-408
-
-
Feng, F.1
Klug, W.S.2
-
35
-
-
33646943202
-
Molecular dynamics: A survey of methods for simulating the activity of proteins
-
Adcock S.A., and McCammon J.A. Molecular dynamics: A survey of methods for simulating the activity of proteins. Chem. Revs. 106 (2006) 1589-1615
-
(2006)
Chem. Revs.
, vol.106
, pp. 1589-1615
-
-
Adcock, S.A.1
McCammon, J.A.2
-
37
-
-
33749467071
-
A piezoelectric contact problem with slip dependent coefficient of frition
-
Sofonea M., and Essoufi E.-H. A piezoelectric contact problem with slip dependent coefficient of frition. Math. Model. Anal. 9 (2004) 229-242
-
(2004)
Math. Model. Anal.
, vol.9
, pp. 229-242
-
-
Sofonea, M.1
Essoufi, E.-H.2
-
38
-
-
34447097153
-
Analysis and numerical solution of a frictionless contact problem for electro-elastic-visco-plastic materials
-
Han W., Sofonea M., and Kazmi K. Analysis and numerical solution of a frictionless contact problem for electro-elastic-visco-plastic materials. Comput. Methods Appl. Mech. Engrg. 196 (2007) 3915-3926
-
(2007)
Comput. Methods Appl. Mech. Engrg.
, vol.196
, pp. 3915-3926
-
-
Han, W.1
Sofonea, M.2
Kazmi, K.3
-
39
-
-
3142603664
-
Variational principles of nonlinear dynamical fluid-solid interaction systems
-
Xing J.T., and Price W.G. Variational principles of nonlinear dynamical fluid-solid interaction systems. Philos. Trans. R. Soc. Lond. Ser. A 355 (1997) 1063-1095
-
(1997)
Philos. Trans. R. Soc. Lond. Ser. A
, vol.355
, pp. 1063-1095
-
-
Xing, J.T.1
Price, W.G.2
|