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 m odel glucose utilization in foetal sheep, More specifically, we model the response surface of glucose utilization rate in the foetal sheep a s a function of glucose and insulin concentrations using a three-dimen sional analogue of the Michaelis-Menten pharmacokinetic model. To acco unt 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.