the entire collection of dose levels to be used in the trial, is chosen prior to the onset of the trial. In such circumstances, x is chosen to minimize the expected loss with respect to the prior distribution h and patients (or cohorts of patients) are then randomly assigned to the dose levels so obtained. In the ensuing formulations only sequential designs will be explicitly discussed. In other words, we consider designs that select doses on the basis of the information conveyed by the posterior distribution C k rather than the prior distribution h . 2.2. Dose-Toxicity Model A mathematical model is speciﬁed for the relationship between dose level and the probability of dose limiting toxicity. The choice of model is based on previous experience with the treatment regimen under investigation, preclinical toxicology studies, medical theory, and computational trac-tability. We note that the dose to be administered to the ﬁrst patient or cohort of patients is typically chosen on the basis of prior information
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This note was uploaded on 06/13/2011 for the course PHYSICS 101 taught by Professor Shu during the Spring '11 term at FIU.