The survival response of a biological system to mixed radiations

The concept of additive radiation action is applied to the process of merging of the intermediate lesions at a common stage in the radiation inactivation pathways for lesions produced by different radiations. This gives rise to a natural nonindependent effect for combined irradiation. Even though the exact nature of this common intermediate lesion is unknown, the effect of this lesion additivity can still be formulated into a mathematical model using the assumptions: (1) there exists a stage in the chain of radiation inactivation events where different types of lesion precursors, produced by different types of radiations in a mixture, inflict lesions which become functionally indistinguishable and hence additive thereafter, to produce the same end point observed; (2) all precursors of all types are simultaneously competing for the opportunity to inflict lesions at the stage indicated in assumption 1, and each precursor has equal opportunity regardless of its origin; (3) if the radiations are delivered sequentially within a sufficiently short time, the lesion precursors of both radiations arrive at the above stage at about the same time and hence inflict lesions which are additive as described in assumptions 1 and 2. The model is quantitative but contains no free-fitting parameters. It is shown to be capable of explaining a large variety of apparently unrelated published experimental results observed for mixtures of high- and low-LET radiations.