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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAYOUB, Houssein
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAINSEBA, Bedreddine
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANGLAIS, Michel
hal.structure.identifierStatistics In System biology and Translational Medicine [SISTM]
hal.structure.identifierEpidémiologie et Biostatistique [Bordeaux]
dc.contributor.authorTHIÉBAUT, Rodolphe
dc.date.accessioned2024-04-04T03:18:06Z
dc.date.available2024-04-04T03:18:06Z
dc.date.issued2015
dc.identifier.issn1547-1063
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194371
dc.description.abstractEnIn this study, we consider a model of T cell homeostasis based on the Smith-Martin model. This nonlinear model is structured by age and CD44 expression. First, we establish the mathematical well-posedness of the model system. Next, we prove the theoretical identifiability regarding the up-regulation of CD44, the proliferation time phase and the rate of entry into division, by using the experimental data. Finally, we compare two versions of the Smith-Martin model and we identify which model fits the experimental data best.
dc.language.isoen
dc.publisherAIMS Press
dc.subject.enand phrases
dc.subject.encd44
dc.subject.enparameters
dc.subject.enpartial differential equations
dc.subject.ent cell homeostasis
dc.title.enParameters identification for a model of T cell homeostasis
dc.typeArticle de revue
dc.identifier.doi10.3934/mbe.2015.12.917
dc.subject.halSciences du Vivant [q-bio]/Santé publique et épidémiologie
bordeaux.journalMathematical Biosciences and Engineering
bordeaux.page917--936
bordeaux.volume12
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01164668
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01164668v1
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