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

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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https://theses.hal.science/tel-01746268
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Submitted on : Monday, February 20, 2012 - 10:10:31 AM
Last modification on : Wednesday, February 2, 2022 - 3:59:43 PM
Long-term archiving on: : Wednesday, December 14, 2016 - 7:00:37 AM

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  • HAL Id : tel-01746268, version 2

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Roukaya Keinj. Modélisation de la croissance d'une tumeur après traitement par radiothérapie. Probabilités [math.PR]. Université Henri Poincaré - Nancy 1, 2011. Français. ⟨NNT : 2011NAN10111⟩. ⟨tel-01746268v2⟩

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