PMID: 8600506Apr 1, 1996Paper

The combined effects of sublethal damage repair, cellular repopulation and redistribution in the mitotic cycle. I. Survival probabilities after exposure to radiation

Radiation Research
M ZaiderG N Minerbo

Abstract

An analytical model is presented that describes radiation-induced cellular inactivation in the presence of sublethal damage repair, cellular repopulation and redistribution in the mitotic cycle (the 3 Rs). The parameters of the model are measurable experimentally. Also taken into account are the initial age distribution of the cell population, the fact that subgroups of cells progress through the cycle at different speeds, the effects of a dose of radiation on the duration of the four phases of the cycle (G1, S, G2, M), the possibility that a certain fraction of the cells are quiescent, and cell loss and/or cell removal from the proliferating population. Survival probabilities are expressed as linear-quadratic functions of dose where the coefficient alpha and beta as well as the recovery constant (t0) are taken to depend on the position of the cell in the mitotic cycle. Explicit analytical expressions for inactivation probability are given for clonogenic cells exposed to continuous or fractionated radiation. Two model calculations are used to illustrate the formalism: in one, the redistribution of cells during fractionated therapy is examined. In the other calculation, it is shown that it is sufficient to take into account diff...Continue Reading

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