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Modèles statistiques du développement de tumeurs cancéreuses

Mathieu Emily 1
1 TIMB
TIMC - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : Biological mecanisms responsible for carcinogenesis are nowadays poorly understood. Mathematical modeling may improve the knowledge of these mecanisms. The present work is dedicated to the elaboration of statistical procedures for early detection of tumors. Two stochastic models, inspired respectively from the initiation phase and the progression phase, have been proposed. The first model focuses on the detection of genetic instability in cell population. the unknown genealogy of a sample of cells within a tumoral tissue has been modeled by a coalescent tree. The second model analyses the links between cellular adhesion and the spread of a tumor. In order to quantify alterations in cellular adhesion of a cancerous tissue, the Differential Adhesion Hypothesis has been integrated in a Gibbsian model.
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Submitted on : Monday, October 16, 2006 - 6:49:05 PM
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Mathieu Emily. Modèles statistiques du développement de tumeurs cancéreuses. Mathématiques [math]. Institut National Polytechnique de Grenoble - INPG, 2006. Français. ⟨tel-00106972⟩

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