Atkinson, Anthony C. and Bogacka, Barbara (2012) Optimum designs for the equality of parameters in enzyme inhibition kinetic models. Journal of statistical planning and inference, Online . ISSN 0378-3758 (In Press)
Abstract
A general model for enzyme kinetics with inhibition, the "mixed" inhibition model, simplifies to the non-competitive inhibition model when two of the parameters are equal. We reparameterize the model and provide designs for investigating the equality of parameters, which corresponds to a scalar parameter δ being zero. For linear models T-optimum designs for discriminating between models in which δ is, and is not, equal to zero are identical to designs in which the estimate of δ has minimum variance. We show that this equality does not hold for our nonlinear model, except as δ approaches zero. We provide optimum discriminating designs for a series of parameter values. presents analytical expressions for the D-optimum design for the four parameters of the mixed inhibition model.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.journals.elsevier.com/journal-of-statis... |
| Additional Information: | © 2012 Elsevier B.V. |
| Uncontrolled Keywords: | analytical D-optimality, D s (T)-optimality, general equivalence theorem, model-discriminating design, optimum design, T-optimality |
| Library of Congress subject classification: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
| Sets: | Departments > Statistics |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/45337/ |
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