Abstract
We consider the situation wherein an individual is continuously exposed to an environmental agent and wherein the time interval is divided into k subintervals. Applying Moolgavkar and Venzon's (1979) two-stage model, we derive the probability distribution for the number of tumors and the incidence rates at the end of experiments. Within the context of the initiation and promotion phenomena, some data were generated by computer for analyzing the consequences of the model. The numerical results indicate that all the experimental findings are well interpreted by Moolgavkar's (1983) theory that initiation affects only the mutation rate of the normal cells while promotion affects only the birth rate of intermediate cells. Also, all known results from initiation and promotion experiments can be explained by the theory developed in this paper assuming the two-stage model of Moolgavkar and Venzon.
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