A generalized Michaelis-Menten response surface.
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.
Division of Biostatistics and Research Epidemiology, Henry Ford Health Sciences Center, Detroit, Michigan 48202, USA.
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Hirst
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Zerbe
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Hay
D000818:Animals; D005333:Fetus / Q000378:metabolism; D005947:Glucose / Q000378:metabolism; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D010599:Pharmacokinetics; D012756:Sheep / Q000378:metabolism
D005947:Glucose