Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
Year: 2018
Type: article
Abstract: The aim of this paper is to provide a complete mathematical analysis of the periodic homogenization procedure that leads to the macroscopic bidomain model in cardiac electrophysiology. We consider space-dependent and tensorial electric conductivities as well as space-dependent physiological and phenomenological nonlinear ionic models. We provide the nondimensionalization of the bidomain equations and derive uniform estimates of the solutions. The homogenization procedure is done using 2-scale convergence theory which enables us to study the behavior of the nonlinear ionic models in the homogenization process.
Authors: Annabelle Collin, Sébastien Imperiale
Institutions: Centre National de la Recherche Scientifique, Université de Bordeaux, Centre Inria de l'université de Bordeaux, Institut Polytechnique de Bordeaux, Institut de Mathématiques de Bordeaux, Institut national de recherche en sciences et technologies du numérique, École Polytechnique, Université Paris-Saclay
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2789618306