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

Roukaya Keinj (1) , Magalie Thomassin (2) , Thierry Thierry Bastogne (3, 2) , Pierre Vallois (3, 4)

1 MOISE - Modelling, Observations, Identification for Environmental Sciences
2 CRAN - Centre de Recherche en Automatique de Nancy
3 BIGS - Biology, genetics and statistics
4 IECN - Institut Élie Cartan de Nancy

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.

Mots clés: cancer; cell damage heterogeneity; lifespan; optimisation treatment; radiotherapy; continuous-time Markov chain

Domaines: Automatique / Robotique; Cancer; Bibliothèque électronique [cs.DL]; Automatique

Roukaya Keinj, Magalie Thomassin, Thierry Thierry Bastogne, Pierre Vallois. Model of cell damage in single session radiation treatments based on continuous-time Markov chains. 8th IFAC Symposium on Biological and Medical Systems BMS 2012, Aug 2012, Budapest, Hungary. pp.160-165, ⟨10.3182/20120829-3-HU-2029.00081⟩. ⟨hal-00762658⟩