[Mathematical modeling of the dynamics of the intestinal epithelium in non-irradiated and irradiated mammals].

A mathematical model has been developed to describe the dynamics of the crypt-villus system of the small intestine epithelium in nonirradiated and chronically irradiated mammals. The model involves the chalone mechanism of regulation of crypt cell reproduction and represents a system of nonlinear differentiation equations. The model presents the dynamics of the small intestine epithelium in nonirradiated animals, including stable fluctuations of the concentrations of crypt and villus cells (the limited cycle), and simulates quantitatively the impairment of the intestinal epithelium in small laboratory animals subjected to long-term irradiation.