Simulation of Electrophysiological Waves with an Unstructured Finite Element Method

Yves Bourgault; Marc Ethier; Victor G. LeBlanc

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

Abstract

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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.

How to cite

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Bourgault, Yves, Ethier, Marc, and LeBlanc, Victor G.. "Simulation of Electrophysiological Waves with an Unstructured Finite Element Method." ESAIM: Mathematical Modelling and Numerical Analysis 37.4 (2010): 649-661. <http://eudml.org/doc/194183>.

@article{Bourgault2010,
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},
keywords = {Anisotropic bidomain model; spiral waves; FEM.; FEM},
language = {eng},
month = {3},
number = {4},
pages = {649-661},
publisher = {EDP Sciences},
title = {Simulation of Electrophysiological Waves with an Unstructured Finite Element Method},
url = {http://eudml.org/doc/194183},
volume = {37},
year = {2010},
}

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
DA - 2010/3//
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.; FEM
UR - http://eudml.org/doc/194183
ER -

References

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