Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications

被引:0
作者
Lu, B. Z. [1 ,3 ]
Zhou, Y. C. [1 ,2 ,3 ]
Holst, M. J. [2 ,3 ]
McCammon, J. A. [1 ,3 ,4 ,5 ]
机构
[1] Univ Calif San Diego, Howard Hughes Med Inst, La Jolla, CA 92093 USA
[2] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
[3] Univ Calif San Diego, Ctr Theoret Biol Phys, La Jolla, CA 92093 USA
[4] Univ Calif San Diego, Dept Chem & Biochem, La Jolla, CA 92093 USA
[5] Univ Calif San Diego, Dept Pharmacol, La Jolla, CA 92093 USA
关键词
biomolecular electrostatics; Poisson-Boltzmann equation; numerical methods; finite difference methods; finite element methods; boundary element methods; adaptive methods; hybrid methods; mesh generation; electrostatic forces;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Efficiency and accuracy are two major concerns in numerical solutions of the Poisson-Boltzmann equation for applications in chemistry and biophysics. Recent developments in boundary element methods, interface methods, adaptive methods, finite element methods, and other approaches for the Poisson-Boltzmann equation as well as related mesh generation techniques are reviewed. We also discussed the challenging problems and possible future work, in particular, for the aim of biophysical applications.
引用
收藏
页码:973 / 1009
页数:37
相关论文
共 173 条
[1]   Dipolar Poisson-Boltzmann equation: Ions and dipoles close to charge interfaces [J].
Abrashkin, Ariel ;
Andelman, David ;
Orland, Henri .
PHYSICAL REVIEW LETTERS, 2007, 99 (07)
[2]   Optimality of multilevel preconditioners for local mesh refinement in three dimensions [J].
Aksoylu, Burak ;
Holst, Michael .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 44 (03) :1005-1025
[3]   WAVELET-LIKE BASES FOR THE FAST SOLUTION OF 2ND-KIND INTEGRAL-EQUATIONS [J].
ALPERT, B ;
BEYLKIN, G ;
COIFMAN, R ;
ROKHLIN, V .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (01) :159-184
[4]   FFTSVD: A fast multiscale boundary-element method solver suitable for bio-MEMS and biomolecule simulation [J].
Altman, MD ;
Bardhan, JP ;
Tidor, B ;
White, JK .
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2006, 25 (02) :274-284
[5]   AN EFFICIENT PROGRAM FOR MANY-BODY SIMULATION [J].
APPEL, AW .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (01) :85-103
[6]   A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].
Atluri, SN ;
Zhu, T .
COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127
[7]   PDB_Hydro: incorporating dipolar solvents with variable density in the Poisson-Boltzmann treatment of macromolecule electrostatics [J].
Azuara, Cyril ;
Lindahl, Erik ;
Koehl, Patrice ;
Orland, Henri ;
Delarue, Marc .
NUCLEIC ACIDS RESEARCH, 2006, 34 :W38-W42
[8]  
Baker N, 2000, J COMPUT CHEM, V21, P1343, DOI 10.1002/1096-987X(20001130)21:15<1343::AID-JCC2>3.0.CO
[9]  
2-K
[10]   Biomolecular applications of Poisson-Boltzmann methods [J].
Baker, NA .
REVIEWS IN COMPUTATIONAL CHEMISTRY, VOL 21, 2005, 21 :349-379