COUDIÈRE, Yves; HENRY, Jacques; LABARTHE, Simon

doi:10.1137/15M1016886

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COUDIÈRE, Yves
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]

HENRY, Jacques
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]

LABARTHE, Simon
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]

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Article de revue

Ce document a été publié dans

SIAM Journal on Applied Mathematics. 2017, vol. 77, n° 2, p. 409 - 429

Society for Industrial and Applied Mathematics

Résumé en anglais

We investigate a dimensional reduction problem of a reaction-diffusion system related to cardiac electrophysiology modeling in the atria. The atrial tissues are very thin. The physical problem is then routinely stated on a two-dimensional manifold. However, some electrophysiological heterogeneities are located through the thickness of the tissue. Despite their biomedical significance, the usual dimensional reduction techniques tend to average and erase their influence on the two-dimensional propagation. We introduce a two-dimensional model with two coupled superimposed layers that allows us to take into account three-dimensional phenomena, but retains a reasonable computational cost. We present its mathematical derivation, show its convergence toward the three-dimensional model, and check numerically its convergence speed.< Réduire

Mots clés en anglais

asymptotic analysis

surface model

cardiac modeling

atrial model

DOI

http://dx.doi.org/10.1137/15M1016886

Project ANR

L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251