Modélisation de la croissance d'une tumeur après traitement par radiothérapie

Roukaya Keinj 1, 2, 3, 4
1 Probabilités et statistiques
IECL - Institut Élie Cartan de Lorraine
2 BIGS - Biology, genetics and statistics
IECN - Institut Élie Cartan de Nancy, INRIA Lorraine
4 Probabilités et statistiques
CRAN - Centre de Recherche en Automatique de Nancy
Abstract : In this thesis, we have proposed a Markov chain modeling of the cell and tumor behaviors during radiotherapy. Our approach is based on the target theory where it is assumed that the cell contains a number of sensitive sites called targets which must be all deactivated to produce the cell death. A ﰑrst task was to provide a discrete-time model taking cell repair between dose fractions and the heterogeneity of cellular damage into account. Then, we proposed a stochastic model of the cell lifespan. This model was also extended to a cell population and allowed to derive new expressions of the eﰓciency and complication probabilities of the treatment. Finally, we focused on the development of a model based on Markov chain in continuous time which could be applied to the responses of tumors treated by photodynamic therapy.
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Theses
Probabilités [math.PR]. Université Henri Poincaré - Nancy I, 2011. Français


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Roukaya Keinj. Modélisation de la croissance d'une tumeur après traitement par radiothérapie. Probabilités [math.PR]. Université Henri Poincaré - Nancy I, 2011. Français. <tel-00671961>

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