Feature-preserving adaptive mesh generation for molecular shape modeling and simulation

被引:75
作者
Yu, Zeyun [1 ]
Holst, Michael J. [1 ]
Cheng, Yuhui [2 ,3 ]
McCammon, J. Andrew [2 ,3 ]
机构
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
[2] Univ Calif San Diego, Dept Chem & Biochem, La Jolla, CA 92093 USA
[3] Univ Calif San Diego, Dept Pharmacol, La Jolla, CA 92093 USA
关键词
mesh generation; molecular simulation; molecular shape modeling; finite element method; numerical analysis;
D O I
10.1016/j.jmgm.2008.01.007
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
We describe a chain of algorithms for molecular surface and volumetric mesh generation. We take as inputs the centers and radii of all atoms of a molecule and the toolchain outputs both triangular and tetrahedral meshes that can be used for molecular shape modeling and simulation. Experiments on a number of molecules are demonstrated, showing that our methods possess several desirable properties: feature-preservation, local adaptivity, high quality, and smoothness (for surface meshes). We also demonstrate an example of molecular simulation using the finite element method and the meshes generated by our method. The approaches presented and their implementations are also applicable to other types of inputs such as 3D scalar volumes and triangular surface meshes with low quality, and hence can be used for generation/improvement of meshes in a broad range of applications. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:1370 / 1380
页数:11
相关论文
共 57 条
[21]   An improved algorithm for anisotropic nonlinear diffusion for denoising cryo-tomograms [J].
Fernández, JJ ;
Li, S .
JOURNAL OF STRUCTURAL BIOLOGY, 2003, 144 (1-2) :152-161
[22]  
Freitag LA, 1997, INT J NUMER METH ENG, V40, P3979, DOI 10.1002/(SICI)1097-0207(19971115)40:21<3979::AID-NME251>3.0.CO
[23]  
2-9
[24]   A GAUSSIAN DESCRIPTION OF MOLECULAR SHAPE [J].
GRANT, JA ;
PICKUP, BT .
JOURNAL OF PHYSICAL CHEMISTRY, 1995, 99 (11) :3503-3510
[25]  
Hackbusch W., 1985, MULTIGRID METHODS AP, DOI 10.1007/978-3-662-02427-0
[26]  
Hackbusch W., 1978, LECT NOTES MATH, V631, P51
[27]   Adaptive numerical treatment of elliptic systems on manifolds [J].
Holst, M .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2001, 15 (1-4) :139-191
[28]  
Huebner K.H., 2001, FINITE ELEMENT METHO
[29]   Continuum Solvation Model: computation of electrostatic forces from numerical solutions to the Poisson-Boltzmann equation [J].
Im, W ;
Beglov, D ;
Roux, B .
COMPUTER PHYSICS COMMUNICATIONS, 1998, 111 (1-3) :59-75
[30]  
Jollife I, 1986, PRINCIPLE COMPONENT