Abstract

The CELKIL function subprogram described is a simple FORTRAN algorithm for computing the cellular log-surviving-fraction for any treatment scheme. The surviving cell population is first calculated for each treatment fraction using a modified multi-target, or optionally an exponential-quadratic, model. The effect of cellular repopulation between fractions is computed by means of a logistic growth function. An idealized simulation of a course of fractionated radiation therapy is then effected for repeated recursive cycles of lethality and repopulation. Arguments in the subprogram include 6 parameters and 4 variates. Parameters used were the mean cellular lethal dose ( D o), extrapolation number, slope ratio, regeneration rate, repopulation limit (cell cycles) and a field-size or tumor-volume adjustment. Variates were the dose-per-fraction, number of fractions, average interval between fractions and the field or tumor diameter.

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