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New approach for solving electrocardiography imaging inverse problem with missing data on the body surface

hal.structure.identifierUniversité Aboubekr Belkaid - University of Belkaïd Abou Bekr [Tlemcen]
dc.contributor.authorADDOUCHE, Mohammed
hal.structure.identifierDépartement de Mathématiques [Oran]
dc.contributor.authorBOUARROUDJ, Nadra
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorHENRY, Jacques
hal.structure.identifierUmm Al-Qura University
dc.contributor.authorJDAY, Fadhel
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorZEMZEMI, Nejib
dc.date.accessioned2024-04-04T03:09:33Z
dc.date.available2024-04-04T03:09:33Z
dc.date.conference2017-05-10
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193615
dc.description.abstractEnIn this work, we provide a new mathematical formulation for the inverse problem in electrocardiography imaging. The novelty of this approach is that we take into account the missing measurements on the body surface. The electrocardiography imaging is formulated as a data completion problem for the Laplace equation. The Neumann boundary condition is given at the whole body surface. The difficulty comes from the fact that the Dirichlet boundary condition is only given on a part of the body surface. In order to construct the electrical potential on the heart surface, we use an optimal control approach where the unknown potential at the external boundary is also part of the control variables. We use the method of factorization of elliptic boundary value problems combined with the finite difference method. We illustrate the theoretical results by some numerical simulations in a cylindrical domain. We numerically study the effect of the size of the missing data zone on the accuracy of the inverse solution.
dc.language.isoen
dc.subject.enelectrocardiography imaging
dc.subject.eninverse problem
dc.subject.enmissing data
dc.subject.enFactorization method
dc.subject.enincomplete data
dc.subject.enoptimal control
dc.title.enNew approach for solving electrocardiography imaging inverse problem with missing data on the body surface
dc.typeCommunication dans un congrès
dc.subject.halInformatique [cs]/Modélisation et simulation
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleTendances des Applications Mathématiques en Tunisie, Algérie, Maroc 10-13 mai 2017
bordeaux.countryTN
bordeaux.conference.cityHammamet
bordeaux.peerReviewedoui
hal.identifierhal-01567821
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2017-05-13
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01567821v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ADDOUCHE,%20Mohammed&BOUARROUDJ,%20Nadra&HENRY,%20Jacques&JDAY,%20Fadhel&ZEMZEMI,%20Nejib&rft.genre=unknown


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