Integral-based identification of a physiological insulin and glucose model on euglycaemic clamp and

Abstract Modelling can enhance the diagnosis and control of metabolic disorders. Clinical effectiveness demands physiological accuracy, patient specificity and identification with limited data. A two-compartment insulin kinetics model and associated insulin-glucose pharmacodynamics are presented. Similarities with C-peptide kinetics are used to simplify parameter identification. Critical patient specific parameters are identified using a novel convex, integral-based method. The model and methods are validated within physiological ranges using euglycaemic clamp (N=146) and IVGTT data. The mean absolute errors in the resulting glucose and insulin profiles are e G = 5.9% ± 6.6% SD and e I = 6.2% ± 6.4% SD for the clamps and area under glucose and insulin profiles deviated and during IVGTT.