A mathematical model of the intravenous glucose tolerance test illustrating an ?-order decay rate of plasma insulin in healthy and type 2 diabetic subjects

摘要

The most accurate considered method to determine the insulin sensitivity (S1) and glucose effectiveness (Sg), that is the intravenous glucose tolerance test (IVGTT). In this study, the modified minimal model with additions of an ?-order decay rate of plasma insulin function and an insulin infusion rate function is introduced. This modified model enables estimation of two main feature of type 2 diabetes (T2D) diagnostic, that is the index of Si and Sg-In this paper, the modified model has been was used to study four cases published IVGTT data, including normal glucose tolerance (NGT) or healthy subjects and T2D subjects with different types of insulin infusion rates. This modified model study has been shown that in NGT subjects had higher S_I and S_g index than T2D subjects. The R2 value, the coefficient of determination of between measured and calculated plasma concentrations of these four cases, is above 0.95, which indicates good agreement.