Simulation of electrophysiological waves with an unstructured finite element method

被引：18

作者：

Bourgault, Y ^{[1
]}

Ethier, M ^{[1
]}

LeBlanc, VG ^{[1
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2003年 / 37卷 / 04期

关键词：

anisotropic bidomain model; spiral waves; FEM;

D O I：

10.1051/m2an:2003051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.

引用

页码：649 / 661

页数：13

共 17 条

[1]

BARKLEY D, 1994, PHYS REV LETT, V72, P165

[2]

BROWN PN, 1987, UCRL97645 LAWR LIV N

[3] Meandering of the spiral tip: An alternative approach [J].

Golubitsky, M ;

LeBlanc, VG ;

Melbourne, I .

JOURNAL OF NONLINEAR SCIENCE, 1997, 7 (06) :557-586

[4] Reaction-diffusion equations on a sphere: Meandering of spiral waves [J].

Gomatam, J ;

Amdjadi, F .

PHYSICAL REVIEW E, 1997, 56 (04) :3913-3919

[5] A finite volume model of cardiac propagation [J].

Harrild, DM ;

Henriquez, CS .

ANNALS OF BIOMEDICAL ENGINEERING, 1997, 25 (02) :315-334

[6]

Holden A., 1997, COMPUTATIONAL BIOL H, P235

[7]

Holden A, 1997, COMPUTATIONAL BIOL H

[8]

Keener J. P., 1998, MATH PHYSL

[9] A numerical method for the solution of the bidomain equations in cardiac tissue [J].

Keener, JP ;

Bogar, K .

CHAOS, 1998, 8 (01) :234-241

[10]

LeBlanc VG, 2003, DYNAM CONT DIS SER B, V10, P29

← 1 2 →