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Analysis of the ECGI inverse problem solution with respect to the measurement boundary size and the distribution of noise

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.identifierLaboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]
hal.structure.identifierUmm Al-Qura University
dc.contributor.authorJDAY, Fadhel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierIHU-LIRYC
dc.contributor.authorHENRY, Jacques
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierIHU-LIRYC
dc.contributor.authorZEMZEMI, Nejib
dc.date.accessioned2024-04-04T03:04:15Z
dc.date.available2024-04-04T03:04:15Z
dc.date.issued2019
dc.identifier.issn0973-5348
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193136
dc.description.abstractEnIn this work, we analyze the influence of adding a body surface missing data on the solution of the electrocardiographic imaging inverse problem. The difficulty comes from the fact that the measured Cauchy data is provided only on a part of the body surface and thus a missing data boundary is adjacent to a measured boundary. 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 theoretically compare this case to the case where the Dirichlet boundary condition is given on the full accessible surface. We then compare both cases and based on the distribution of noise in the measurements, we conclude whether or not it is worth to use all the data. We use the method of factorization of elliptic boundary value problems combined with the finite element 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.publisherEDP Sciences
dc.subject.enInverse problem
dc.subject.enEectrocardiography imaging
dc.subject.enRiccati equations
dc.subject.enFactorization method
dc.title.enAnalysis of the ECGI inverse problem solution with respect to the measurement boundary size and the distribution of noise
dc.typeArticle de revue
dc.identifier.doi10.1051/mmnp/2018061
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.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01923800
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01923800v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Modelling%20of%20Natural%20Phenomena&rft.date=2019&rft.eissn=0973-5348&rft.issn=0973-5348&rft.au=ADDOUCHE,%20Mohammed&BOUARROUDJ,%20Nadra&JDAY,%20Fadhel&HENRY,%20Jacques&ZEMZEMI,%20Nejib&rft.genre=article


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