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Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling

hal.structure.identifierEcole Nationale d'Ingénieurs de Tunis [ENIT]
dc.contributor.authorAMRI, Abir
hal.structure.identifierEcole Nationale d'Ingénieurs de Tunis [ENIT]
dc.contributor.authorBELLASSOUED, Mourad
hal.structure.identifierEcole Nationale d'Ingénieurs de Tunis [ENIT]
dc.contributor.authorMAHJOUB, Moncef
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorZEMZEMI, Nejib
dc.date.accessioned2024-04-04T02:46:04Z
dc.date.available2024-04-04T02:46:04Z
dc.date.issued2021-07-09
dc.identifier.issn0003-6811
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191516
dc.description.abstractEnIn this paper, we prove a stability estimate of the conductivity parameters identification problem in cardiac electrophysiology. The propagation of the electrical wave in the heart is described by the monodomain model coupled to an elliptic equation describing the diffusion of the electrical wave in the whole body. Our result concerns both heart and torso conductivity parameters. The main difficulty that we solve in this paper is related to the transmission conditions between the heart and the torso. We first, establish Carleman estimates for the coupled heart-torso system. Then, using these estimates and the Bukhgeim and Klibanov approach, we prove a Lipschitz stability estimate of cardiac and torso conductivity parameters.
dc.description.sponsorshipL'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004
dc.language.isoen
dc.publisherTaylor & Francis
dc.subject.enInverse problem
dc.subject.enStability estimate
dc.subject.enCarleman estimate
dc.subject.enCardiac electrophysiology
dc.subject.enConductivity parameters
dc.title.enAnalysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling
dc.typeArticle de revue
dc.identifier.doi10.1080/00036811.2021.1955861
dc.subject.halInformatique [cs]/Modélisation et simulation
bordeaux.journalApplicable Analysis
bordeaux.page1-30
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03301127
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03301127v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Applicable%20Analysis&rft.date=2021-07-09&rft.spage=1-30&rft.epage=1-30&rft.eissn=0003-6811&rft.issn=0003-6811&rft.au=AMRI,%20Abir&BELLASSOUED,%20Mourad&MAHJOUB,%20Moncef&ZEMZEMI,%20Nejib&rft.genre=article


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