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Analysis of a Model for Transfer Phenomena in Biological Populations

hal.structure.identifierSciences Appliquées à L'Environnement [SCALE]
hal.structure.identifierStress Environnementaux et BIOsurveillance des milieux aquatiques [SEBIO]
dc.contributor.authorLE FOLL, Frank
hal.structure.identifierDepartment of Mathematics [Minneapolis]
dc.contributor.authorHINOW, Peter
hal.structure.identifierSciences Appliquées à L'Environnement [SCALE]
dc.contributor.authorFOLL, Frank Le
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAGAL, Pierre
hal.structure.identifierDepartment of Mathematics, Vanderbilt University
dc.contributor.authorWEBB, Glenn
dc.date.accessioned2024-04-04T02:59:37Z
dc.date.available2024-04-04T02:59:37Z
dc.date.issued2009-04-15
dc.identifier.issn0036-1399
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192755
dc.description.abstractEnWe study the problem of transfer in a population structured by a continuum variable corresponding to the quantity being transferred. The transfer of the quantity occurs between individuals according to specified rules. The model is of Boltzmann type with kernels corresponding to the transfer process. We prove that the transfer process preserves total mass of the transferred quantity and the solutions of the simple model converge weakly to Radon measures. We generalize the model by introducing proliferation of individuals and production and diffusion of the transferable quantity. It is shown that the generalized model admits a globally asymptotically stable steady state, provided that transfer is sufficiently small. We discuss an application of our model to cancer cell populations, in which individual cells exchange the surface protein P-glycoprotein, an important factor in acquired multidrug resistance against cancer chemotherapy.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.title.enAnalysis of a Model for Transfer Phenomena in Biological Populations
dc.typeArticle de revue
dc.identifier.doi10.1137/080732420
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.journalSIAM Journal on Applied Mathematics
bordeaux.page40-62
bordeaux.volume70
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02314812
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02314812v1
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