Optimal insulin infusion control via a mathematical blood glucoregulatory model with fuzzy parameters

Abstract

In this paper, we consider a blood glucose-insulin model subject to parameter variation. Our aim is to use a mathematical optimization technique lo derive insulin infusion programs for the regulation of the blood glucose level in the case of worst possible parameter values. Numerical computation and simulation studies are carried out to verify the performance of the method on regulation of initially high blood glucose level while fasting and of blood glucose level after a meal prior to which blood glucose is at its rest level.