Optimal insulin infusion resulting from a mathematical model of blood glucose dynamics

Abstract
The application of mathematical optimization techniques to a simplified mathematical model of blood glucose dynamics to derive insulin infusion programs for the control of blood glucose levels in diabetic individuals is discussed. Two particular cases are discussed: first, that of the insulin infusion program which results in an initially high blood glucose level being reduced to acceptable levels; secondly, that of the control of blood glucose levels following a meal, prior to which blood glucose and net blood-glycemic hormone were at their fasting levels.<>