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Activity Number: 34
Type: Contributed
Date/Time: Sunday, August 3, 2008 : 2:00 PM to 3:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #301901
Title: Optimal Designs for Toxicity Function with a Downturn
Author(s): Seung Won Hyun*+ and Nancy Flournoy
Companies: University of Missouri-Columbia and University of Missouri-Columbia
Address: , , ,
Keywords: Dose-finding ; Experimental design ; Toxicological assays ; Receptor-meditated response ; A-optimality for adjacent treatment comparisons ; D-optimality
Abstract:

In many toxicological assays, interactions between primary and secondary effects may cause a downturn in the response functions at high concentrations. Downturns have been studied by Margolin (1981), Bretz and Hothorn (2001), Welshons et al. (2003) and others. We obtain optimal designs for several models of such nonmonotone concentration response functions. A related situation occurs in clinical trials on which success is measured as a function of both toxicity and safety. See, for example, Dragalin, Fedorov and Wu (2006) and Rabie and Flournoy (2004).

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Revised September, 2008