T1DM subject as a time-delay system: Modeling and adaptive control

Abstract

Type 1 Diabetes Mellitus (T1DM) subject model is presented in this paper. The model consists of two parts. A glucose and insulin plasma kinetics is inferred from a minimal model of glucose kinetics commonly used to analyze the results of an intravenous glucose tolerance test (IVGTT). A subcutaneous insulin and a subcutaneous glucose kinetics are modeled as a time-delay. A meal announcement information is considered as a measured disturbance signal and a disturbance model is also proposed. The presented model serves as a base for the design of an adaptive control algorithm for automatic normoglycemia maintaining in T1DM subject. The adaptive control algorithm is also briefly presented in the paper.