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On 3D Numerical Inverse Problems for the Bidomain Model in Electrocardiology

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAINSEBA, Bedr'Eddine
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLOPEZ, Alejandro
dc.date.accessioned2024-04-04T03:16:08Z
dc.date.available2024-04-04T03:16:08Z
dc.date.created2015
dc.date.issued2015
dc.identifier.issn0898-1221
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194194
dc.description.abstractEnIn the inverse problem en electrocardiology, the goal is to recover electrophysiological activity in the heart without measuring directly on its surface (without using catheter interventions). Note that today the inverse computation is frequently used by solving the quasi-static model. This model doesnt take into account the heart dynamic in time and may result in considerable errors in the reconstruction of the solution on the heart. In this paper, a 3D numerical inverse problem constrained by the bidomain equations in electrocardiology is investigated. The state equations consisting in a coupled reaction-diffusion system modelling the propagation of the intracelullar and extracellular electrical potentials, and ionic currents, are extended to further consider the effect of an external bathing medium. Thus, we demonstrate that the novel concept of applying electrophysiological data might be useful to improve noninvasive reconstruction of electrical heart activity. Finally, we present numerical experiments representing the effect of the heart dynamic on the inverse solutions.
dc.language.isoen
dc.publisherElsevier
dc.subject.enNon-Homogeneous
dc.subject.enHomogeneous
dc.subject.enElectrocardiology
dc.subject.enNumerical simulation
dc.subject.enInverse problem
dc.title.enOn 3D Numerical Inverse Problems for the Bidomain Model in Electrocardiology
dc.typeArticle de revue
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences du Vivant [q-bio]/Médecine humaine et pathologie/Physiologie [q-bio.TO]
bordeaux.journalComputers & Mathematics with Applications
bordeaux.page255–274
bordeaux.volume69
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01256825
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01256825v1
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