Mathematical study and asymptotic analysis of a model for tumor drug resistance
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | COLIN, Thierry | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | MICHEL, Thomas | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | POIGNARD, Clair | |
| dc.date.accessioned | 2024-04-04T03:14:29Z | |
| dc.date.available | 2024-04-04T03:14:29Z | |
| dc.date.issued | 2015-10 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194061 | |
| dc.description.abstractEn | 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 | |
| dc.description.sponsorship | Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003 | |
| dc.language.iso | en | |
| dc.subject.en | Tumour growth modelling | |
| dc.subject.en | partial differential equations | |
| dc.subject.en | asymptotic analysis | |
| dc.title.en | Mathematical study and asymptotic analysis of a model for tumor drug resistance | |
| dc.type | Rapport | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.page | 32 p. | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.type.institution | Inria Bordeaux Sud-Ouest | |
| bordeaux.type.report | rr | |
| hal.identifier | hal-01211770 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01211770v1 | |
| bordeaux.COinS | ctx_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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