Mathematical simulation of the processes determining dependence of survival of exposed tumor cells on the degree of their oxygenation
Objective: Simulation of cell radiosensitivity dependence on their oxygenation with the purpose to calculate survival of the tumor cells in different layers with various degrees of oxygenation. Material and Methods: Methods of mathematical simulation. Results: Mathematical models were built. Analytical expressions for calculation of dependence of survival of exposed to x-ray or gamma-rays tumor cells on oxygen concentration in the pericellular environment and irradiation dose were obtained. These models are based on the contemporary ideas about the mechanisms of reparation of radiation lesions and the processes realizing oxygen effect using the criterion of survival of eukaryotic cells. Conclusion: Dependence on oxygen concentration in the pericellular environment of the values determining the probability of forming two-thread DNA raptures and probability of reparation of these lesions was established.