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.
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Division of Biostatistics and Research Epidemiology, Henry Ford Health Sciences Center, Detroit, Michigan 48202, USA.
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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