Model of the glucose-insulin system of type-1 diabetics and optimization-based bolus calculation

In this contribution, a mathematical model of the glucose-insulin system in the case of type-1 diabetes is presented. This model and is subsequently used to determine an optimal so-called bolus dosage adapted to the diabetic patient´s future behaviour. This model on the one hand is chosen with a level of detail comprising the major part of daily situations. On the other hand, it is still relatively easy to parametrize in order to be usable within a so-called bolus calculator. The validity of the model is shown using real patient measurement data and the bolus optimization is carried out in a simulation environment.