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An <i>in vitro</i> cell population dynamics model incorporating cell size, quiescence, and contact inhibition

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCROT, Arnaud
hal.structure.identifierLaboratoire d'Ecotoxicologie - Milieux Aquatiques [LEMA]
dc.contributor.authorLE FOLL, Frank
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAGAL, Pierre
dc.contributor.authorMURAKAWA, Hideki
hal.structure.identifierLaboratoire d'Ecotoxicologie - Milieux Aquatiques [LEMA]
dc.contributor.authorPASQUIER, Jennifer
dc.contributor.authorWEBB, Glenn
dc.date.accessioned2024-04-04T02:59:37Z
dc.date.available2024-04-04T02:59:37Z
dc.date.issued2011-10-24
dc.identifier.issn0218-2025
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192756
dc.description.abstractEnIn this paper, we construct a model to describe the spatial motion of a monolayer of cells occupying a two-dimensional dish. By taking care of nonlocal contact inhibition, quiescence phenomenon, and the cell cycle, we derive porous media-like equation with nonlocal reaction terms. The first part of this paper is devoted to the construction of the model. In the second part we study the well-posedness of the model. We conclude the paper by presenting some numerical simulations of the model and we observe the formation of colonies.
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.subject.encell population dynamics
dc.subject.enspatial motion
dc.subject.encell cycle
dc.subject.encontact inhibition
dc.subject.encell colonies
dc.title.enAn <i>in vitro</i> cell population dynamics model incorporating cell size, quiescence, and contact inhibition
dc.typeArticle de revue
dc.identifier.doi10.1142/S0218202511005404
dc.subject.halSciences du Vivant [q-bio]/Toxicologie/Ecotoxicologie
dc.subject.halSciences du Vivant [q-bio]/Immunologie/Immunité innée
dc.subject.halSciences du Vivant [q-bio]/Biologie cellulaire/Interactions cellulaires [q-bio.CB]
dc.subject.halSciences du Vivant [q-bio]/Biologie cellulaire/Organisation et fonctions cellulaires [q-bio.SC]
bordeaux.journalMathematical Models and Methods in Applied Sciences
bordeaux.page871-892
bordeaux.volume21
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issuesupp01
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02314809
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02314809v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.jtitle=Mathematical%20Models%20and%20Methods%20in%20Applied%20Sciences&amp;rft.date=2011-10-24&amp;rft.volume=21&amp;rft.issue=supp01&amp;rft.spage=871-892&amp;rft.epage=871-892&amp;rft.eissn=0218-2025&amp;rft.issn=0218-2025&amp;rft.au=DUCROT,%20Arnaud&amp;LE%20FOLL,%20Frank&amp;MAGAL,%20Pierre&amp;MURAKAWA,%20Hideki&amp;PASQUIER,%20Jennifer&amp;rft.genre=article


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