Homework 2. Due Monday 1 May.1. The classic Storer design says that you treat 3 patients at dosei. If none have dose-limiting toxicities(DLT), you escalate to dosei+ 1. If 2 or 3 have DLT, you stop and declare dosei-1 to be the maximumtolerated dose (MTD). If 1 has a DLT, you give 3 more patients dosei.If none of those have DLT, youescalate, but if 1 or more have DLT, you declare dosei-1 to be the MTD. We worked out in class and youcan find in Piantadosi the probability that you escalate to dosei+ 1. (That is, escalate past dosei.)Consider the modified Storer design used in the trial UCD171, where we require six patients to havebeen tested before we will declare a dose to be safe. Recall we declare doseinot to be safe if we have 2 ormore DLT observed in either 3 or 6 patients at that dose. The modification is that if we have not alreadyseen 6 patients at dosei-1, we would have to treat 3 more at that dose before declaring it to be safe. Derivea formula for the probability of stopping at dosei
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Clinical trial, Dose, dLt, Maximum Tolerated Dose, Storer design