# Simulation of electrophysiological waves with an unstructured finite element method

Yves Bourgault; Marc Ethier; Victor G. LeBlanc

- Volume: 37, Issue: 4, page 649-661
- ISSN: 0764-583X

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topBourgault, Yves, Ethier, Marc, and LeBlanc, Victor G.. "Simulation of electrophysiological waves with an unstructured finite element method." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.4 (2003): 649-661. <http://eudml.org/doc/245864>.

@article{Bourgault2003,

abstract = {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.},

author = {Bourgault, Yves, Ethier, Marc, LeBlanc, Victor G.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {anisotropic bidomain model; spiral waves; FEM; Anisotropic bidomain model},

language = {eng},

number = {4},

pages = {649-661},

publisher = {EDP-Sciences},

title = {Simulation of electrophysiological waves with an unstructured finite element method},

url = {http://eudml.org/doc/245864},

volume = {37},

year = {2003},

}

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: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 4

SP - 649

EP - 661

AB - 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.

LA - eng

KW - anisotropic bidomain model; spiral waves; FEM; Anisotropic bidomain model

UR - http://eudml.org/doc/245864

ER -

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