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A nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology

hal.structure.identifierLaboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]
dc.contributor.authorCHAMEKH, Rabeb
hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [LJAD]
hal.structure.identifierAnalysis and Control of Unsteady Models for Engineering Sciences [ACUMES]
dc.contributor.authorHABBAL, Abderrahmane
hal.structure.identifierLaboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]
dc.contributor.authorKALLEL, Moez
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorZEMZEMI, Nejib
dc.date.accessioned2024-04-04T03:02:04Z
dc.date.available2024-04-04T03:02:04Z
dc.date.issued2019
dc.identifier.issn0973-5348
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192946
dc.description.abstractEnWe consider the identification problem of the conductivity coefficient for an elliptic operator using an incomplete over specified measures on the surface. Our purpose is to introduce an original method based on a game theory approach, and design a new algorithm for the simultaneous identification of conductivity coefficient and data completion process. We define three players with three corresponding criteria. The two first players use Dirichlet and Neumann strategies to solve the completion problem, while the third one uses the conductivity coefficient as strategy, and uses a cost which basically relies on an identifiability theorem. In our work, the numerical experiments seek the development of this algorithm for the electrocardiography imaging inverse problem, dealing with in-homogeneities in the torso domain. Furthermore, in our approach, the conductivity coefficients are known only by an approximate values. we conduct numerical experiments on a 2D torso case including noisy measurements. Results illustrate the ability of our computational approach to tackle the difficult problem of joint identification and data completion. Mathematics Subject Classification. 35J25, 35N05, 91A80. The dates will be set by the publisher.
dc.description.sponsorshipL'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004
dc.language.isoen
dc.publisherEDP Sciences
dc.subject.enNash algorithm
dc.subject.enData completion
dc.subject.enConductivity identification
dc.title.enA nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology
dc.typeArticle de revue
dc.identifier.doi10.1051/mmnp/2018059
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halSciences du Vivant [q-bio]/Ingénierie biomédicale/Imagerie
bordeaux.journalMathematical Modelling of Natural Phenomena
bordeaux.page15
bordeaux.volume14
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01923819
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01923819v1
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