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Towards the modelling of the Purkinje/ myocardium coupled problem: A well-posedness analysis

hal.structure.identifierUniversité de Tunis El Manar [UTM]
dc.contributor.authorAOUADI, Saloua
hal.structure.identifierUniversité de Tunis El Manar [UTM]
dc.contributor.authorMBARKI, Wajih
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorZEMZEMI, Nejib
dc.date.accessioned2024-04-04T03:04:16Z
dc.date.available2024-04-04T03:04:16Z
dc.date.issued2019
dc.identifier.issn0377-0427
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193137
dc.description.abstractEnThe Purkinje network is the specialized conduction system in the heart. It ensures the physiological spread of the electrical wave in the ventricles. In this work, in an insulated heart framework, we model the free running Purkinje system, using the monodomain equation. The intra-myocardium part of the Purkinje fiber is coupled to the ventricular tissue using the bidomain equation. The coupling is performed through the extracellular potential. We discretize the problem in time using a semi-implicit scheme. Then, we write a variational formulation of the semi discrete problem in a non standard weighted Sobolev functional spaces. We prove the existence and uniqueness of the solution of the Purkinje/myocardium semi-discretized problem. We discretize in space by the finite element P 1 − Lagrange and conduct some numerical tests showing the anterograde and retrograde propagation of the electrical wave between the tissue and the Purkinje fibers.
dc.language.isoen
dc.publisherElsevier
dc.subject.enSemi-implicit scheme
dc.subject.enMonodomain/bidomain
dc.subject.enPurkinje/myocardium
dc.subject.enDiscrete problem
dc.subject.enWeighted Sobolev spaces
dc.title.enTowards the modelling of the Purkinje/ myocardium coupled problem: A well-posedness analysis
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cam.2018.10.024
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Computational and Applied Mathematics
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01923779
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01923779v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20and%20Applied%20Mathematics&rft.date=2019&rft.eissn=0377-0427&rft.issn=0377-0427&rft.au=AOUADI,%20Saloua&MBARKI,%20Wajih&ZEMZEMI,%20Nejib&rft.genre=article


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