A COMPILATION OF THE D-OPTIMAL DESIGNS IN CHEMICAL KINETICS

Abstract

This paper links the chemical kinetic models that obey the framework of nonlinear statistical models with optimal design theory. We provide the appropriate optimal designs for them, so that the involved parameters can be estimated as well as possible. Therefore, the D-optimality criterion is adopted, under the optimal design approach, for a number of models used in chemical kinetic applications. In the tables, the collected results are presented for 15 models.

Keywords:

• Chemical kinetic models
• D-optimal design
• Experimental designs
• Optimality criteria
• Reaction rate
• Response function

Acknowledgments

The authors would like to express their sincere thanks to all four anonymous reviewers for their critical comments and useful suggestions that improved the final version of the article.

Notes

uⁱ, with i = 1,2,3,4 corresponds to the optimum values of the variable u.

^(*): number of runs: 6, ^(**): number of runs: 7, ^(·): number of runs: 8.