COLIN, Thierry; MICHEL, Thomas; POIGNARD, Clair

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COLIN, Thierry
Université de Bordeaux [UB]
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]

MICHEL, Thomas
Institut de Mathématiques de Bordeaux [IMB]
Université de Bordeaux [UB]
Modélisation Mathématique pour l'Oncologie [MONC]

POIGNARD, Clair
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]

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Rapport

Ce document a été publié dans

2015-10p. 32 p.

Résumé en anglais

In 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< Réduire

Mots clés en anglais

Tumour growth modelling

partial differential equations

asymptotic analysis

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194061

Project ANR

Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251