Parameter and State Estimation of a Mathematical Model of Carbohydrate Intake

Abstract Carbohydrate intake is one of the main disturbances in blood glucose metabolism and one of the major care-issues in diabetes therapy. For this reason, the dynamics of glucose absorption after a meal intake must be included in glucose metabolism models. Current interest in developing patient-specific models has shown the necessity to estimate key parameters in models of carbohydrate intake, which cannot be measured with available sensor technology. In this contribution, we present a scheme to estimate a parameter and a state related to absorption of glucose in the intestine, which depend on the amount of carbohydrates ingested in a meal. The scheme is based on an adaptive observer with exponential convergence to estimate states and uncertain constant parameters.