Simulation of electrophysiological waves with an unstructured finite element method
ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Biological and Biomedical Applications, Tome 37 (2003) no. 4, pp. 649-661.
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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.
DOI :
10.1051/m2an:2003051
Classification :
35K57, 65M60, 92Cxx
Mots-clés : anisotropic bidomain model, spiral waves, FEM
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: Mathematical Modelling and Numerical Analysis }, pages = {649--661}, publisher = {EDP-Sciences}, volume = {37}, number = {4}, year = {2003}, doi = {10.1051/m2an:2003051}, zbl = {1065.92004}, mrnumber = {2018435}, language = {en}, url = {https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis PY - 2003 SP - 649 EP - 661 VL - 37 IS - 4 PB - EDP-Sciences UR - https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis %D 2003 %P 649-661 %V 37 %N 4 %I EDP-Sciences %U https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Special issue on Biological and Biomedical Applications, Tome 37 (2003) no. 4, pp. 649-661. doi : 10.1051/m2an:2003051. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003051/
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