22/10/2015

Séna Apeke

In the context of tumor growth, we build a multiscale stochastic model to predict cancer evolution during treatment by radiotherapy. Biological data are collected at the macroscopic scale, as PET images. We make use of microscopic model, at the cellular level, based on phase transfer probabilities in the celullar cycle. Both models are used by an intermediate model at the mesoscopic scale, which represents populations of cells in the different phases in a PET image voxel. The computations are performed at this mesoscopic scale, and we define functions to manage the interactions between these three scales. The main goal of this application is to simulate the effect of oxygen on tumor evolution during treatment by radiotherapy. For this purpose, we input various oxygen concentration values in the model and for each of them, we compare the clnical results at 8 days of treatment to those provided by the model, by using mutual information criterion. Finally, we use the best fitted oxygen value to predict tumor evolution in the following of the treatment. We highlight that it is useful, for clinical applications, to model tumor growth at our mesoscopic scale if the data are FDG images. This is more realistic, beyong a cerain thresold, than working at the cellular scale. We also prove, by comparing the complexity orders of the algorithms used at cellular and population scales, that it is drastically more efficient in terms of computation time.

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