Determination of bermang'sminimal model parameters for diabetic mice treated with ibervillea sonorae

This article shows the estimation of Bergman's Minimal Model parameters for glucose-insulin interaction in three stages: evolution of the concentration of insulin, evolution of glucose and glucose/insulin interaction itself. First, the dynamics of glucose measured in healthy mice treated with extracts of Ibervillea sonorae root in a range of 100-400 mg/kg; likewise, for mice previously induced with diabetes mellitus type 2 values are determined The different parameter values obtained are compared showing how they influence the dynamics of Bergman's Model. The values of the glucose/insulin interaction where obtained in vivo by blood samples of the mice every hour. The evolution and variability of the estimate are shown in graphical form; alsothe estimation error is quantified by performance curves, which were associated to the energy that is implied in the difference between the values of the parameters obtained and the data obtained in the kinematics of the mice. The results indicate the estimated level reached, where the upper value of the performance curve was 3.0128, while the lower was 0.1978, with standard error values between 1.55% and 10.47%.