Free access article

Issue M2AN Volume 37, Number 4, July-August 2003 Biological and Biomedical Applications Page(s) 649 - 661 DOI 10.1051/m2an:2003051

M2AN, Vol. 37, N°4, pp. 649-661
DOI: 10.1051/m2an:2003051

Simulation of Electrophysiological Waves with an Unstructured Finite Element Method

Yves Bourgault, Marc Ethier and Victor G. LeBlanc

Department of Mathematics and Statistics, University of Ottawa, On, K1N 6N5 Canada. ybourg@mathstat.uottawa.ca.

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.

Mathematics Subject Classification. 35K57, 65M60, 92Cxx.

Key words: Anisotropic bidomain model, spiral waves, FEM.


© EDP Sciences, SMAI 2003

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