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Modélisation de la croissance tumorale : estimation de paramètres d'un modèle de croissance et introduction d'un modèle spécifique aux gliomes de tout grade

Jean-Baptiste Lagaert 1, 2
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : This thesis deals with mathematical modeling of tumor growth. Firstly, we present a parameter estimation method. More precisely, it consists in recovering the position of the tumor blood vessel, starting from imaging. The first step is to design a particular vascularization, then we compute the tumor growth with this blood-vessel network by using a model based on partial differential equations and hence we try to recover the initial vascularization solving the inverse problem. We show that the estimated vasculature could be used to efficiently predict the future tumor growth. In the second part of this thesis, we introduce a class of models dedicated to glioma, adapted both to low grade and multiform glioblastoma. In order to take into account their specificities, we include mainly two effects in the model : on the one hand, the infiltrate behaviors of gliomas, and on the other hand, the impact of brain heterogeneity, of brain anisotropy and of brain geometry on the tumor growth. Our models allow us to evaluate the efficiency of anti-angiogenic drugs and to compare it with the effect of drugs inhibiting the invasion ability of glioma. The models have been implemented in 2D and 3D in actual geometry provided by an atlas.
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Submitted on : Thursday, December 15, 2011 - 2:11:31 PM
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Jean-Baptiste Lagaert. Modélisation de la croissance tumorale : estimation de paramètres d'un modèle de croissance et introduction d'un modèle spécifique aux gliomes de tout grade. Analyse numérique [math.NA]. Université Sciences et Technologies - Bordeaux I, 2011. Français. ⟨tel-00652366⟩

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