Application of optimal control strategies for physiological model of type 1 diabetes - T1D

Abstract

Type 1 diabetes is a serious disease that affects many children and adolescents. The disease causes the pancreas to stop producing insulin, a hormone that regulates blood sugar level Insulin is a hormone that lowers the blood glucose concentration by catalyzing storage of glucose. In this work, the mathematical model describing the whole blood glucose-insulin system was considered where it was derived both based upon the two minimal models of Bergman’s minimal model, which is primarily used to interpret an IVGTT. Our objective is to propose a therapeutic scheme adapted to the needs of the diabetic patient and this through a mathematical model describing type 1. To illustrate the obtained results using Matlab/Simulink TM, various examples are presented.