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hal.structure.identifierMathématiques, Image et Applications - EA 3165 [MIA]
dc.contributor.authorBADER, Fakhrielddine
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorSAAD, Mazen
hal.structure.identifierEcole Doctorale des Sciences et de la Technologie [EDST]
dc.contributor.authorTALHOUK, Raafat
dc.date.accessioned2024-04-04T02:41:17Z
dc.date.available2024-04-04T02:41:17Z
dc.date.issued2022-06
dc.identifier.issn0167-8019
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191138
dc.description.abstractEnWe present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the intra-and extra-cellular domains, supplemented by a nonlinear ODE system for the dynamics of the ion channels and the gap junctions. We establish the global existence and uniqueness of the weak solutions to our microscopic tridomain model. The global existence of solution, which constitutes the main result of this paper, is proved by means of an approximate non-degenerate system, the Faedo-Galerkin method, and an appropriate compactness argument.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enTridomain model
dc.subject.enGlobal existence
dc.subject.enUniqueness
dc.subject.enWeak solution
dc.subject.enGap junctions
dc.subject.enCardiac electro-physiology
dc.title.enMicroscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 – Modeling and Well-Posedness
dc.typeArticle de revue
dc.identifier.doi10.1007/s10440-022-00498-7
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv2205.15605
bordeaux.journalActa Applicandae Mathematicae
bordeaux.volume179
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue11
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03682214
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03682214v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Applicandae%20Mathematicae&rft.date=2022-06&rft.volume=179&rft.issue=11&rft.eissn=0167-8019&rft.issn=0167-8019&rft.au=BADER,%20Fakhrielddine&BENDAHMANE,%20Mostafa&SAAD,%20Mazen&TALHOUK,%20Raafat&rft.genre=article


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