Optimal control for nonlocal reaction-diffusion system describing calcium dynamics in cardiac cell
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | ERRAJI, Elmahdi | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | KARAMI, Fahd | |
| dc.date.accessioned | 2024-04-04T02:42:46Z | |
| dc.date.available | 2024-04-04T02:42:46Z | |
| dc.date.issued | 2021-04 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191273 | |
| dc.description.abstractEn | The 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.iso | en | |
| dc.publisher | Wiley | |
| dc.subject.en | Optimal control | |
| dc.subject.en | calcium model | |
| dc.subject.en | nonlocal diffusion | |
| dc.subject.en | weak solution | |
| dc.subject.en | finite element method | |
| dc.subject.en | first order optimality conditions | |
| dc.subject.en | numerical simulation | |
| dc.title.en | Optimal control for nonlocal reaction-diffusion system describing calcium dynamics in cardiac cell | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1002/mma.7071 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Sciences du Vivant [q-bio] | |
| bordeaux.journal | Mathematical Methods in the Applied Sciences | |
| bordeaux.page | 4802-4834 | |
| bordeaux.volume | 44 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03534731 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03534731v1 | |
| bordeaux.COinS | ctx_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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