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Optimum design of experiments for enzyme inhibition kinetic models

Bogacka, Barbara, Patan, Maciej, Johnson, Patrick, J, Youdim, K and Atkinson, Anthony C. (2011) Optimum design of experiments for enzyme inhibition kinetic models. Journal of Biopharmaceutical Statistics, 21 (3). pp. 555-572. ISSN 1054-3406

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Identification Number: 10.1080/10543406.2010.489979


We find closed-form expressions for the D-optimum designs for three- and four-parameter nonlinear models arising in kinetic models for enzyme inhibition. We calculate the efficiency of designs over a range of parameter values and make recommendations for design when the parameter values are not well known. In a three-parameter experimental example, a standard design has an efficiency of 18.2% of the D-optimum design. Experimental results from a standard design with 120 trials and a D-optimum design with 21 trials give parameter estimates that are in close agreement. The estimated standard errors of these parameter estimates confirm our theoretical results on efficiency and thus on the serious savings that can be made by the use of D-optimum designs.

Item Type: Article
Official URL:
Additional Information: © 2011 Taylor & Francis
Divisions: Statistics
Subjects: H Social Sciences > HA Statistics
Q Science > QP Physiology
R Medicine > RS Pharmacy and materia medica
Date Deposited: 19 May 2011 13:46
Last Modified: 16 May 2024 01:14

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