A coupled system of PDEs and ODEs arising in electrocardiograms modellingReport as inadecuate




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1 REO - Numerical simulation of biological flows LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6

Abstract : We study the well-posedness of a coupled system of PDEs and ODEs arising in the numerical simulation of electrocardiograms. It consists of a system of degenerate reaction-diffusion equations, the so-called bidomain equations, governing the electrical activity of the heart, and a diffusion equation governing the potential in the surrounding tissues. Global existence of weak solutions is proved for an abstract class of ionic models including Mitchell-Schaeffer, FitzHugh-Nagumo, Aliev-Panfilov and MacCulloch. Uniqueness is proved in the case of the FitzHugh-Nagumo ionic model. The proof is based on a regularisation argument with a Faedo-Galerkin-compactness procedure.

Keywords : Bidomain model reaction-diffusion system electrocardiograms modelling





Author: Muriel Boulakia - Miguel Angel Fernández - Jean-Frédéric Gerbeau - Nejib Zemzemi -

Source: https://hal.archives-ouvertes.fr/



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