Optimum Experimental Designs for Choosing Between Competitive and Non Competitive Models of Enzyme Inhibition

Abstract

In the study of the inhibition of enzyme reactions the Michaelis–Menten model is extended to include two experimental variables and three or more parameters. We combine the three-parameter models for competitive and non competitive inhibition in a four-parameter model and use optimum design theory to find D- and Ds-optimum designs for discriminating between the models. These designs are compared with compound T-optimum designs which provide the most powerful tests for discrimination between models. A single design is found with high discrimination efficiency whichever model is true.

Keywords:

• Combined model
• Comparable parameters
• Compound T-optimality
• Ds-optimality
• General equivalence theorem
• Model-building

Mathematics Subject Classification:

• Primary 62K05
• Secondary 62J02, 62P10, 62K20

Acknowledgments

I remain grateful to Barbara Bogacka and Kuresh Youdim for continuing stimulating discussions on the subject of this article.