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We studied the relationship between the rate of intravenous glucose infusion and the blood glucose concentration at two different physiological levels of hyperinsulinemia in a depancreatized dog. The same degree of changes in the glucose infusion rate generated progressively larger increments in the blood glucose concentration. We then developed a Michaelis-Menten type kinetic model which could appropriately describe this nonlinear relationship of blood glucose response under the condition of hyperinsulinemia. In order to determine the prandial insulin infusion program, we used more simplified equations based on a nonlinear model. The simplified equations were demonstrated to be applicable for estimating the prandial subcutaneous insulin infusion program in the continuous subcutaneous insulin infusion system.

The development of a nonlinear model to describe the blood glucose response for the determination of prandial insulin infusion.