A constrained optimum experimental design problem for model discrimination with a continuously varying factor

  • Uciński D
  • Bogacka B
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Abstract

We present the theoretical background and the numerical procedure for calculating optimum experimental designs for non-linear model discrimination in the presence of constraints. The design support points consist of two kinds of factors: a continuous function of time and discrete levels of other quantitative factors. That is, some of the experimental conditions are allowed to continually vary during the experimental run. We implement the theory in a chemical kinetic model discrimination problem. © 2007 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Non-linear regression
  • Optimal design with constraints
  • Reaction kinetics
  • Semi-infinite programming
  • T-optimality criterion

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Authors

  • Dariusz Uciński

  • Barbara Bogacka

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