Optimal designs for enzyme inhibition kinetic models

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dc.contributor.authorSchorning, Kirsten
dc.contributor.authorDette, Holger
dc.contributor.authorKettelhake, Katrin
dc.contributor.authorMöller, Tilman
dc.date.accessioned2017-09-15T13:15:48Z
dc.date.available2017-09-15T13:15:48Z
dc.date.issued2017
dc.description.abstractIn 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.en
dc.identifier.urihttp://hdl.handle.net/2003/36099
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-18115
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB823;17/2017
dc.subjectmodelling enzyme kinetics reactionsen
dc.subjectincomplete response surface modelsen
dc.subjectD-optimal designsen
dc.subjectoptimal designs for individual coefficientsen
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.titleOptimal designs for enzyme inhibition kinetic modelsen
dc.typeTextde
dc.type.publicationtypeworkingPaperde
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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