Model of cell damage in single session radiation treatments based on continuous-time Markov chains

Roukaya Keinj 1 Magalie Thomassin 2, * Thierry Bastogne 2, 3 Pierre Vallois 3, 4
* Corresponding author
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
2 IRIS, SBS
CRAN - Centre de Recherche en Automatique de Nancy
3 BIGS - Biology, genetics and statistics
Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : A new continuous-time statistical model for modelling the effect of radiotherapy treatment is proposed. In contrast with classical models, it takes in account heterogeneity of cell damage and repair. In this paper, a bi-scale continuous-time model is derived to describe tumor and normal tissue lifespans. We show that the cell lifespan can be described by a continuous-time Markov model. The tumor control probabilities and normal tissue complication probabilities are expressed. The model has been implemented into Matlab and numerical simulations have emphasised the effects of the model parameters on the model output.
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Roukaya Keinj, Magalie Thomassin, Thierry Bastogne, Pierre Vallois. Model of cell damage in single session radiation treatments based on continuous-time Markov chains. IFAC BMS 2012 - 8th IFAC Symposium on Biological and Medical Systems, Aug 2012, Budapest, Hungary. pp.160-165, ⟨10.3182/20120829-3-HU-2029.00081⟩. ⟨hal-00762658⟩

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