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hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOUDIÈRE, Yves
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHENRY, Jacques
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLABARTHE, Simon
dc.date.accessioned2024-04-04T03:18:48Z
dc.date.available2024-04-04T03:18:48Z
dc.date.issued2015-03-18
dc.identifier.issn0303-6812
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194446
dc.description.abstractEnNumerical simulations of the cardiac electrophysiology in the atria are often based on the standard bidomain or monodomain equations stated on a two-dimensional manifold. These simulations take advantage of the thinness of the atrial tissue, and their computational cost is reduced, as compared to three-dimensional simulations. However, these models do not take into account the heterogeneities located in the thickness of the tissue, like dis-continuities of the fibre direction, although they can be a substrate for atrial arrhythmia [Hocini et al., 2002, Ho et al., 2002, Nattel, 2002]. We investigate a two-dimensional model with two coupled, superimposed layers that allows to introduce three-dimensional heterogeneities, but retains a reasonable computational cost. We introduce the mathematical derivation of this model and error estimates with respect to the three-dimensional model. We give some numerical illustrations of its interest: we numerically show its convergence for vanishing thickness, introduce an optimization process of the coupling coefficient and assess its validity on physiologically relevant geometries. Our model would be an efficient tool to test the influence of three-dimensional fibre direction heterogeneities in reentries or atrial arrhythmia without using three-dimensional models.
dc.description.sponsorshipModèles numériques haute résolution de l'électrophysiologie cardiaque - ANR-13-MONU-0004
dc.description.sponsorshipL'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004
dc.language.isoen
dc.publisherSpringer
dc.subject.enSurface model
dc.subject.enAtrial model
dc.subject.enAsymptotic analysis
dc.subject.enCardiac modeling
dc.title.enA two layers monodomain model of cardiac electrophysiology of the atria
dc.typeArticle de revue
dc.identifier.doi10.1007/s00285-015-0861-8
dc.subject.halInformatique [cs]/Modélisation et simulation
bordeaux.journalJournal of Mathematical Biology
bordeaux.page35
bordeaux.volume71
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6-7
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01132889
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01132889v1
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