Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
Résumé
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 elec-trophysiology. We consider space-dependent and tensorial electric conductivities as well as space-dependent physiological and phenomenological non-linear 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 non-linear ionic models in the homogenization process .
Domaines
Physique mathématique [math-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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