COLIN, Thierry; MICHEL, Thomas; POIGNARD, Clair

Metadatos

Licencia de uso del documento

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]

Idioma

Rapport

Este ítem está publicado en

2015-10p. 32 p.

Resumen en inglés

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< Leer menos

Palabras clave en inglés

Tumour growth modelling

partial differential equations

asymptotic analysis

URI

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

Proyecto ANR

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

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251