A nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology
hal.structure.identifier | Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT] | |
dc.contributor.author | CHAMEKH, Rabeb | |
hal.structure.identifier | Laboratoire Jean Alexandre Dieudonné [LJAD] | |
hal.structure.identifier | Analysis and Control of Unsteady Models for Engineering Sciences [ACUMES] | |
dc.contributor.author | HABBAL, Abderrahmane | |
hal.structure.identifier | Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT] | |
dc.contributor.author | KALLEL, Moez | |
hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
dc.contributor.author | ZEMZEMI, Nejib | |
dc.date.accessioned | 2024-04-04T03:02:04Z | |
dc.date.available | 2024-04-04T03:02:04Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0973-5348 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192946 | |
dc.description.abstractEn | We 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.sponsorship | L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004 | |
dc.language.iso | en | |
dc.publisher | EDP Sciences | |
dc.subject.en | Nash algorithm | |
dc.subject.en | Data completion | |
dc.subject.en | Conductivity identification | |
dc.title.en | A nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1051/mmnp/2018059 | |
dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
dc.subject.hal | Sciences du Vivant [q-bio]/Ingénierie biomédicale/Imagerie | |
bordeaux.journal | Mathematical Modelling of Natural Phenomena | |
bordeaux.page | 15 | |
bordeaux.volume | 14 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 2 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01923819 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01923819v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Modelling%20of%20Natural%20Phenomena&rft.date=2019&rft.volume=14&rft.issue=2&rft.spage=15&rft.epage=15&rft.eissn=0973-5348&rft.issn=0973-5348&rft.au=CHAMEKH,%20Rabeb&HABBAL,%20Abderrahmane&KALLEL,%20Moez&ZEMZEMI,%20Nejib&rft.genre=article |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |