A congestion model for cell migration
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DAMBRINE, Julien | |
| hal.structure.identifier | Mathématiques Appliquées Paris 5 [MAP5 - UMR 8145] | |
| dc.contributor.author | MEUNIER, Nicolas | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LM-Orsay] | |
| dc.contributor.author | MAURY, Bertrand | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LM-Orsay] | |
| dc.contributor.author | ROUDNEFF-CHUPIN, Aude | |
| dc.date.accessioned | 2024-04-04T02:26:41Z | |
| dc.date.available | 2024-04-04T02:26:41Z | |
| dc.date.created | 2011-02-01 | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0010-3640 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189971 | |
| dc.description.abstractEn | This paper deals with a class of macroscopic models for cell migration in a saturated medium for two-species mixtures. Those species tend to achieve some motion according to a desired velocity, and congestion forces them to adapt their velocity. This adaptation is modelled by a correction velocity which is chosen minimal in a least-square sense. We are especially interested in two situations: a single active species moves in a passive matrix (cell migration) with a given desired velocity, and a closed-loop Keller-Segel type model, where the desired velocity is the gradient of a self-emitted chemoattractant. We propose a theoretical framework for the open-loop model (desired velocities are defined as gradients of given functions) based on a formulation in the form of a gradient flow in the Wasserstein space. We propose a numerical strategy to discretize the model, and illustrate its behaviour in the case of a prescribed velocity, and for the saturated Keller-Segel model. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/cpaa.2012.11.243 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.identifier.arxiv | 1102.0147 | |
| dc.description.sponsorshipEurope | Multi-level patient-specific artery and atherogenesis model for outcome prediction, decision support treatment, and virtual hand-on training | |
| bordeaux.journal | Communications on Pure and Applied Mathematics | |
| bordeaux.page | 243-260 | |
| bordeaux.volume | 11 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00625868 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| dc.title.it | A congestion model for cell migration | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00625868v1 | |
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