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A generalized Michaelis-Menten response surface.

K Hirst·G O Zerbe·W W Hay
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Abstract

We describe an application of recently developed generalized Michaelis-Menten response surface and non-linear mixed model methodologies to model glucose utilization in foetal sheep. More specifically, we model the response surface of glucose utilization rate in the foetal sheep as a function of glucose and insulin concentrations using a three-dimensional analogue of the Michaelis-Menten pharmacokinetic model. To account for multiple measurements per sheep, we apply the non-linear mixed effects model proposed by Lindstrom and Bates using the EM algorithm computational scheme presented by Hirst et al.

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AnimalsFetusGlucoseHumansModels, BiologicalModels, StatisticalPharmacokineticsSheepJournal ArticleResearch Support, U.S. Gov't, P.H.S.

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K Hirst, G O Zerbe, W W Hay. 1996-10-15. A generalized Michaelis-Menten response surface.. https://doi.org/10.1002/(sici)1097-0258(19961015)15%3A19%3C2107%3A%3Aaid-sim338%3E3.0.co%3B2-1

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