Fractional Order Bergman's Minimal Model-A Better Representation of Blood Glucose-Insulin System

Abstract

In this paper, the blood glucose-insulin system in the human body is discussed. Different mathematical models representing this system are presented. MATLAB is used for solution and simulation of each of these models. On the basis of credible experimental data, comparison of these models is done. The results show that the system of glucose-insulin is better described by nonlinear Bergman's model than the linear model. Furthermore, utilizing fractional calculus, integer order nonlinear Bergman's model is modified to fractional order model. It is shown through simulations and comparison of data that the modified fractional order nonlinear Bergman's minimal model gives better representation compared to the integer order nonlinear model.