A COMPARISON OF SEVERAL MATHEMATICAL GLUCOSE-INSULIN DYNAMICS MODELS

Many mathematical models have been developed to understand the mechanisms of the Glucose-Insulin dynamics. In general, mathematical models have been used to estimate the glucose dis-appearance and insulin sensitivity which are used to study relative dependencies of Glucose-Insulin. Among them, the real start of modeling the Glucose-Insulin dynamics might be the minimal model proposed by the group of Bergman and Cobelli in the 1980’s [2]. Since then, variant versions based on the minimal model have been considered by many authors [1]. In this talk, we compare and analyze several mathematical models for Glucose-Insulin dynamics containing the developed models by Bergman et al. [17,19], Arino et al. [12] and Roy et al. [21]. We present efficient numerical algorithms to solve the system of non-linear differential equations as well as efficient parameter estimation methods. Also parameter sensitivity analysis [22] is performed for each model. Numerical results are shown.