[Probability of tissue cell death, integral cellularity and likelihood of radiation-induced tissue complications]

The paper describes a mathematical model for determining the likelihood of radiation-induced complications in the tissue as a function of the number of surviving cells. It is suggested the irradiated tissue cannot be regarded as a structureless point set of cells and that there are repairable and nonrepairable spatial configurations formed by surviving tissue cells. The probability of none tissue radiation complications may be considered is that of formation of a repairable structure from the surviving tissue cells. The paper shows why the radiation effect of radiation may be coupled (graded) in units of integral cellularity. Recurrent equations have been derived for calculating the number of repairable structures in relation to the conditions of tissue radiation. The values of a number of repairable structures as a function of an area and single dose of radiation are calculated as an example.