Modelling of the Insulin Delivery System for patients with Type 1 Diabetes Mellitus
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A compartmental mathematical model describing the insulin-glucose system of patients with type 1Diabetes is presented in this paper. The model consists of several subsystems including insulin infusion and absorption, exogenous and endogenous glucose introduction/production, glucose distribution in the periphery and provides a realistic prediction of the blood glucose concentration of an individual, under suggested insulin treatment. The simulation results describe daily profiles of glucose concentration in the blood and the influence of insulin on the underlying processes during an open loop insulin therapy. The validation of this model is the first step of designing a closed loop system which will automatically deliver the appropriate amount of insulin for the specific patient and will guarantee the prevention of hyperglycaemia and mainly hypoglycaemia, a condition of high severity. 2011 Elsevier B.V.