BADER, Fakhrielddine; BENDAHMANE, Mostafa; SAAD, Mazen; TALHOUK, Raafat

doi:10.1007/s10440-022-00498-7

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BADER, Fakhrielddine
Mathématiques, Image et Applications - EA 3165 [MIA]

BENDAHMANE, Mostafa
Institut de Mathématiques de Bordeaux [IMB]
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]

SAAD, Mazen
Laboratoire de Mathématiques Jean Leray [LMJL]

Langue

Article de revue

Ce document a été publié dans

Acta Applicandae Mathematicae. 2022-06, vol. 179, n° 11

Springer Verlag

Résumé en anglais

We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the intra-and extra-cellular domains, supplemented by a nonlinear ODE system for the dynamics of the ion channels and the gap junctions. We establish the global existence and uniqueness of the weak solutions to our microscopic tridomain model. The global existence of solution, which constitutes the main result of this paper, is proved by means of an approximate non-degenerate system, the Faedo-Galerkin method, and an appropriate compactness argument.< Réduire

Mots clés en anglais

Tridomain model

Global existence

Uniqueness

Weak solution

Gap junctions

Cardiac electro-physiology

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191138

DOI

http://dx.doi.org/10.1007/s10440-022-00498-7

Project ANR

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251