Mechanistic model of the cells irradiation using the stochastic biophysical input

Abstract

In this paper a full description of the mechanistic model of the cells irradiation is presented. The model is based on the computational Quasi–Markov Chain Monte Carlo method with a stochastic tree of probabilities and using the biophysical input. The biophysics of the cells is described by the probabilities and probability distributions provided as an input. Many biophysical aspects are implemented into the model, i.e. the adaptive response effect or the bystander effect. It results in the sigmoidal relationships for carcinogenic risk as a function of the irradiation. The methodology used makes the model universal and practical for the simulations of general processes. However, the presented theoretical model does not describe the real cells and tissues. Also the exposure geometry, type of radiation as well as microdosimetry are not taken into account in this model. The model is focused mainly on the creation of general and maximal wide mathematical description of irradiated hypothetical cells treated as complex physical systems.