Mathematical modeling of food intake and insulin infusion in a patient with type 1 Ddabetes in closed loop

Abstract

Diabetes mellitus type 1 is a condition in which the pancreas loses its ability to produce enough insulin, increasing the levels of blood glucose. This work presents the design of a mathematical model of the glucose - insulin dynamics of a type 1 diabetes patient, contemplating the contribution to the concentration of blood glucose by the intake of carbohydrates, fats and proteins. The model also includes the absorption dynamics of 5 insulin types, different administration methods of exogenous insulin, and the variation of insulin sensitivity during the day. The model was integrated into a closed-loop insulin regulation algorithm, in order to evaluate the performance of the model and the eficiency of closed-loop treatments, compared to open-loop therapies. The results show the response of the model to different situations of a real patient, and tests of the controller’s performance

Keywords

• diabetes tipo 1
• modelo matemático dinámica glucosa - insulina
• regulación de insulina en lazo cerrado