Glucose-insulin minimal model augmented: identification and validation

Adriana Aguilera Gonzalez (1) , Holger Voos (2) , Mohamed Darouach (3)

1 CENIDET - Centro Nacional de Investigación y Desarrollo Tecnológico [Mexico]
2 SnT - Interdisciplinary Centre for Security, Reliability and Trust [Luxembourg]
3 CRAN - Centre de Recherche en Automatique de Nancy

In this paper a new mathematical model of the glucose-insulin system is presented. The proposed model represents Type 1 Diabetes Mellitus patients and seeks to give a suitable model of the malfunction of the pancreas. Based on the classic minimal model, this new approach takes into account the description of the glucose dynamic in the subcutaneous layer and a meal disturbance term, together with an additional term that represents the insulin injections, which make this proposal a more realistic approach. Virtual data from UVA/Padova T1DMS software are used for first evaluations of the effectiveness of the proposed model.

Mots clés: Glucose-insulin system; type 1 diabetes mellitus; minimal model augmented; validation

Domaines: Automatique / Robotique

Adriana Aguilera Gonzalez, Holger Voos, Mohamed Darouach. Glucose-insulin minimal model augmented: identification and validation. Congreso Nacional de Control Automatico 2015, Asociacion de Mexico de Control Automatico (AMCA), Oct 2015, Cuernavaca, Mexico. ⟨hal-01242683⟩