Optimum experimental designs for choosing between competitive and non competitive models of enzyme inhibition

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.