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Optimal control for nonlocal reaction-diffusion system describing calcium dynamics in cardiac cell

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierEcole Supérieure de Technologie d'Essaouira
dc.contributor.authorERRAJI, Elmahdi
hal.structure.identifierEcole Supérieure de Technologie d'Essaouira
dc.contributor.authorKARAMI, Fahd
dc.date.accessioned2024-04-04T02:42:46Z
dc.date.available2024-04-04T02:42:46Z
dc.date.issued2021-04
dc.identifier.issn0170-4214
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191273
dc.description.abstractEnThe purpose of this paper is to introduce an optimal control for a nonlocal calcium dynamic model in a cardiac cell acting on ryanodine receptors. The optimal control problem is considered as a coupled nonlocal reaction-diffusion system with a transmission boundary condition covering the sarcoplasmic reticulum and cytosolic domain. We establish the well-posedness result of the adjoint problem using Faedo-Galerkin approximation, a priori estimates and compactness arguments. The numerical discretization of direct and adjoint problems is realized by using the implicit Euler method in time and the finite element for spatial discretization. Moreover, we obtain the stability result in the 2-norm for the direct and the adjoint discrete problems. Finally, in order to illustrate the control of our calcium dynamic model, we present some numerical experiments devoted to constant and nonlocal diffusions using the proposed numerical scheme.
dc.language.isoen
dc.publisherWiley
dc.subject.enOptimal control
dc.subject.encalcium model
dc.subject.ennonlocal diffusion
dc.subject.enweak solution
dc.subject.enfinite element method
dc.subject.enfirst order optimality conditions
dc.subject.ennumerical simulation
dc.title.enOptimal control for nonlocal reaction-diffusion system describing calcium dynamics in cardiac cell
dc.typeArticle de revue
dc.identifier.doi10.1002/mma.7071
dc.subject.halMathématiques [math]
dc.subject.halSciences du Vivant [q-bio]
bordeaux.journalMathematical Methods in the Applied Sciences
bordeaux.page4802-4834
bordeaux.volume44
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03534731
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03534731v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Methods%20in%20the%20Applied%20Sciences&rft.date=2021-04&rft.volume=44&rft.issue=6&rft.spage=4802-4834&rft.epage=4802-4834&rft.eissn=0170-4214&rft.issn=0170-4214&rft.au=BENDAHMANE,%20Mostafa&ERRAJI,%20Elmahdi&KARAMI,%20Fahd&rft.genre=article


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