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Activity Number:
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87
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Type:
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Contributed
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Date/Time:
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Sunday, July 31, 2016 : 4:00 PM to 5:50 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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Abstract #319144
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Title:
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Standardized Maximim D-Optimal Designs for Enzyme Kinetic Inhibition Models
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Author(s):
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Ray-Bing Chen* and Ping-Yang Chen and Heng-Chin Tung and Weng Kee Wong
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Companies:
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National Cheng Kung University and National Cheng Kung University and National Cheng Kung University and University of California at Los Angeles
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Keywords:
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Approximate Design ;
Locally D-optimal Design ;
Nonlinear Model ;
Particle Swarm Optimization
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Abstract:
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Locally optimal designs for nonlinear models require a single set of nominal values for the unknown parameters. A more flexible technique is the maximin approach that allows the user to specify a range of values for each parameter of interest. However, the maximin approach is hard to implement because we first have to determine the locally optimal design for each set of nominal values before maximin types of optimal designs can be found via a nested optimization process. We show that swarm optimization techniques can effectively solve such complex optimization problems and help find analytical formulae for maximin D-optimal designs and standardized maximin D-optimal designs. We apply the methodology to find maximin types of optimal designs for 3 inhibition models frequently used to study enzyme kinetics and study properties and relationships among these optimal designs. In particular, we show that locally optimal designs for the inhibition models are not necessarily minimally supported.
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Authors who are presenting talks have a * after their name.
