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Activity Number: 233
Type: Contributed
Date/Time: Monday, August 3, 2009 : 2:00 PM to 3:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #304960
Title: A Bayesian Approach to Dose-Response Assessment and Synergy
Author(s): Violeta G. Hennessey*+
Companies: The University of Texas M.D. Anderson Cancer Center
Address: 2222 Maroneal Unit 316, Houston, TX, 77030,
Keywords: Drug interaction ; Hierarchical models ; Combination index method ; Loewe additivity ; Emax model ; Interaction index
Abstract:

We propose a Bayesian approach to dose-response assessment and drug interaction analysis between combined agents. We focus on in vitro dose-response studies that include repeated experiments with multiple replicates. We limit our work to combination studies that use a single-ray experimental design, that is, agents are combined using a fixed-dose ratio. We have developed a Bayesian hierarchical model that accounts for sources of variability inherent in the data and uncertainty in parameter values. The model consists of a modified Hill's equation (Emax model) with an additive residual error on the logarithmic scale. In addition, we have developed a method based on Loewe additivity that allows one to assess the presence of synergy with honest accounting of uncertainty. We apply the proposed model and method to a motivating data set from an in vitro ovarian cancer research study.


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