The Artificial Pancreas: modeling and glycemic regulation

Abstract: In this talk I will discuss some recent progress and challenges emerging from the Artificial Pancreas Project, a project focused on modeling and control of diabetes under insulin injections. Since variables such as glucose, insulin concentration in blood plasma and exogenous insulin infusions are non-negative by nature, significative theoretical challenges arise for modeling and controlling positive systems. The main open problems which are discussed and solved include: (i) a new model which is consistent with the functional insulinotherapy; (ii) the analysis of this mathematical model as an externally positive system; and (iii) the design of a positive control algorithm for glycemic regulation. Finally, some in-silico results will be presented which are based on clinical data from patients obtained from the Nantes and Rennes University Hospitals.

Hosted by Marco Tulio Angulo, IM-UNAM Juriquilla.