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An asymptotic two-layer monodomain model of cardiac electrophysiology in the atria: derivation and convergence *

hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorCOUDIÈRE, Yves
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorHENRY, Jacques
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorLABARTHE, Simon
dc.date.created2015-04-14
dc.date.issued2017
dc.identifier.issn0036-1399
dc.description.abstractEnWe 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.
dc.description.sponsorshipL'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.rights.urihttp://creativecommons.org/licenses/by-sa/
dc.subject.enasymptotic analysis
dc.subject.ensurface model
dc.subject.encardiac modeling
dc.subject.enatrial model
dc.title.enAn asymptotic two-layer monodomain model of cardiac electrophysiology in the atria: derivation and convergence *
dc.typeArticle de revue
dc.identifier.doi10.1137/15M1016886
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalSIAM Journal on Applied Mathematics
bordeaux.page409 - 429
bordeaux.volume77
bordeaux.issue2
bordeaux.peerReviewedoui
hal.identifierhal-00922717
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00922717v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Applied%20Mathematics&rft.date=2017&rft.volume=77&rft.issue=2&rft.spage=409%20-%20429&rft.epage=409%20-%20429&rft.eissn=0036-1399&rft.issn=0036-1399&rft.au=COUDI%C3%88RE,%20Yves&HENRY,%20Jacques&LABARTHE,%20Simon&rft.genre=article


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