Optimum Safe Dose Estimation for Carcinogenic Agents (A Case Study Using Simulated Data)

In this paper we introduce one procedure to estimate safe doses, named exposed or administered dose, for carcinogenic or toxical materials. The model, relying on statistical distribution takes into account a major assumption, which is explained below. *The probabilistic model underlying the waiting time of occurrence (such as tumor occurrence, etc.) is a renewal Weibull Process. The literature on the topic is full of various models, using different assumptions. Most of these models consider the administered dose as effective dose, the derived model is built on this basis, and the safe doses are estimated using extrapolations near low risk doses. Under this assumption we can reach a model different from the ones used before. Our derived model will be our working model in order to estimate the administered safe dose ξ. We intend to estimate x using the final model. At the end of the study, we have estimated optimum safe dose to apply the procedure by using simulated data on computer according to the underlying model and distribution.