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A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation

hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierJohann Radon Institute for Computational and Applied Mathematics [RICAM]
dc.contributor.authorCHAMAKURI, Nagaiah
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOMTE, Eloïse
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAINSEBA, Bedr'Eddine
dc.date.accessioned2024-04-04T03:15:45Z
dc.date.available2024-04-04T03:15:45Z
dc.date.issued2016
dc.identifier.issn0022-247X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194168
dc.description.abstractEnThis work is dedicated to study the cardiac defibrillation problem by using an optimal thoracic electroshock treatment. The problem is formulated as an optimal control problem in a 3D domain surrounded by the bath and including the heart. The control corresponds to the thoracic electroshock and the model describing the electrical activity in the heart is the bidomain model. The bidomain model is coupled with the quasi-static Maxwell's equation to consider the effect of an external bathing medium. The existence and uniqueness of a weak solution for the direct problem is assessed as well as the existence of a weak solution for the adjoint problem. The numerical discretization is realized using a finite element method for the spatial discretization and linearly implicit Runge-Kutta methods for the temporal discretization of the partial differential equations. The numerical results are demonstrated for the termination of re-entry waves.
dc.language.isoen
dc.publisherElsevier
dc.title.enA 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jmaa.2016.01.018
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences du Vivant [q-bio]/Médecine humaine et pathologie/Cardiologie et système cardiovasculaire
bordeaux.journalJournal of Mathematical Analysis and Applications
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01261547
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01261547v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Analysis%20and%20Applications&rft.date=2016&rft.eissn=0022-247X&rft.issn=0022-247X&rft.au=BENDAHMANE,%20Mostafa&CHAMAKURI,%20Nagaiah&COMTE,%20Elo%C3%AFse&AINSEBA,%20Bedr'Eddine&rft.genre=article


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