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.
Mots-clés : anisotropic bidomain model, spiral waves, FEM
@article{M2AN_2003__37_4_649_0,
author = {Bourgault, Yves and Ethier, Marc and LeBlanc, Victor G.},
title = {Simulation of electrophysiological waves with an unstructured finite element method},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {649--661},
publisher = {EDP-Sciences},
volume = {37},
number = {4},
year = {2003},
doi = {10.1051/m2an:2003051},
mrnumber = {2018435},
zbl = {1065.92004},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2003051/}
}
TY - JOUR AU - Bourgault, Yves AU - Ethier, Marc AU - LeBlanc, Victor G. TI - Simulation of electrophysiological waves with an unstructured finite element method JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 649 EP - 661 VL - 37 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003051/ DO - 10.1051/m2an:2003051 LA - en ID - M2AN_2003__37_4_649_0 ER -
%0 Journal Article %A Bourgault, Yves %A Ethier, Marc %A LeBlanc, Victor G. %T Simulation of electrophysiological waves with an unstructured finite element method %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 649-661 %V 37 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003051/ %R 10.1051/m2an:2003051 %G en %F M2AN_2003__37_4_649_0
Bourgault, Yves; Ethier, Marc; LeBlanc, Victor G. Simulation of electrophysiological waves with an unstructured finite element method. ESAIM: Modélisation mathématique et analyse numérique, Special issue on Biological and Biomedical Applications, Tome 37 (2003) no. 4, pp. 649-661. doi : 10.1051/m2an:2003051. http://www.numdam.org/articles/10.1051/m2an:2003051/
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