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Modélisation et simulation de la croissance de métastases pulmonaires

Julien Jouganous 1, 2
1 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Institut Bergonié [Bordeaux], Inria Bordeaux - Sud-Ouest
Abstract : This thesis deals with mathematical modeling and simulation of lung metastases growth. We first present a partial differential equations model to simulate the growth and possibly the response to some types of treatments of metastases to the lung. This model must be personalized to be used individually on clini- cal cases. Consequently, we developed a calibration technic based on medical images of the tumor. Several applications on clinical cases are presented. Then we introduce a simplification of the first model and the calibration algorithm. This new method, more robust, is tested on 36 clinical cases. The results are presented in the third chapter. To finish, a machine learning algorithm based on random forests is used to improve the calibration of the model.
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Submitted on : Thursday, December 17, 2015 - 1:48:29 PM
Last modification on : Friday, October 23, 2020 - 4:45:59 PM
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Julien Jouganous. Modélisation et simulation de la croissance de métastases pulmonaires. Equations aux dérivées partielles [math.AP]. Université de Bordeaux, 2015. Français. ⟨tel-01245553⟩

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