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Mathematical study and asymptotic analysis of a model for tumor drug resistance

hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorCOLIN, Thierry
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorMICHEL, Thomas
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorPOIGNARD, Clair
dc.date.accessioned2024-04-04T03:14:29Z
dc.date.available2024-04-04T03:14:29Z
dc.date.issued2015-10
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194061
dc.description.abstractEnIn this paper we study a partial differential equations model for tumor drug resistance.The aim is to take two different treatments into account: a specific tyrosine kinase inhibitor (TKI)targeted therapy, with a cytotoxic effect, that induces direct cell death, and a multi-targeted TKI,with both cytotoxic and anti-angiogenic effect, which prevents the creation of new blood vessels.The model is based on mass balance equations on cell densities coupled with a diffusion equationfor the nutrients and oxygen concentration. We also consider a necrotic phase composed of deadcells, which are eliminated at a rate 1/τ . We first prove that, for any non-negative τ , the modelis well-posed and in a second part we study the asymptotic behavior for small τ . Such a resultis of great interest for the modeling, since it provides a family of τ -dependent models which iscontinuous with respect to τ
dc.description.sponsorshipInitiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003
dc.language.isoen
dc.subject.enTumour growth modelling
dc.subject.enpartial differential equations
dc.subject.enasymptotic analysis
dc.title.enMathematical study and asymptotic analysis of a model for tumor drug resistance
dc.typeRapport
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.page32 p.
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionInria Bordeaux Sud-Ouest
bordeaux.type.reportrr
hal.identifierhal-01211770
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01211770v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2015-10&rft.spage=32%20p.&rft.epage=32%20p.&rft.au=COLIN,%20Thierry&MICHEL,%20Thomas&POIGNARD,%20Clair&rft.genre=unknown


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