Optimal designs for enzyme inhibition kinetic models
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Date
2017
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Abstract
In this paper we present a new method for determining optimal designs for enzyme
inhibition kinetic models, which are used to model the influence of the concentration of a
substrate and an inhibition on the velocity of a reaction. The approach uses a nonlinear
transformation of the vector of predictors such that the model in the new coordinates is
given by an incomplete response surface model. Although there exist no explicit solutions
of the optimal design problem for incomplete response surface models so far, the corre-
sponding design problem in the new coordinates is substantially more transparent, such
that explicit or numerical solutions can be determined more easily. The designs for the
original problem can finally be found by an inverse transformation of the optimal designs
determined for the response surface model. We illustrate the method determining explicit
solutions for the D-optimal design and for the optimal design problem for estimating the
individual coefficients in a non-competitive enzyme inhibition kinetic model.
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Keywords
modelling enzyme kinetics reactions, incomplete response surface models, D-optimal designs, optimal designs for individual coefficients