Optimal designs for enzyme inhibition kinetic models

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 predict...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Schorning, Kirsten, Dette, Holger, Kettelhake, Katrin, Möller, Tilman
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.09.2017
Subjects
Design optimization
Enzymes
Mathematical models
Response surface methodology
Substrate inhibition
Transformations
Online AccessGet full text

Cover

More Information
Summary: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 corresponding 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.
ISSN:2331-8422