Mathematical model of glucose-insulin metabolism from carbohydrates in type 1 diabetes during postprandial and postabsorptive states

In this paper, we propose an extension to our previously developed mathematical model of glucose-insulin metabolism in type 1 diabetes (T1D). It comprises a carbohydrate metabolism subsystem with a solid foundation of the relative impact of carbohydrates on blood glucose levels; an exogenous insulin subsystem that considers the effect of subcutaneous and intravenous rapid-acting insulin; and a glucose-insulin metabolism subsystem in T1D for postprandial and postabsorptive states. Simulations of blood glucose excursion in our model during both states demonstrate the reliability and accuracy of our model.