Some classes of hit-theory models

Abstract The quantum biological theory of the interaction (hits) between radiation particles and targets necessary for survival is axiomatically developed. Extensions, to include both biological variability in the probability of a hit and variation in the number of targets, are carried out. The problem of adjustment for spontaneous death is explicitly treated by zero-truncation of relevant distributions. A catalog of thirty-nine models is presented in three tables. Many of these are new. The problem of the aliasing of models resulting from different assumptions is briefly treated. An operational approach to hit-theoretic modelling is presented. The notion of a principle of duality is used to explicate the relation between continuous tolerance-dose distributions and quantal dose-mortality curves. Implications for the theory of bioassay are pointed out. The compendium of hit-theory models will enable the biological investigator to choose an appropriate model for a particular investigation and aid awareness of a set of alternative models which may be consistent with experimental data.

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