Mathematical Modelling And Control Of Blood Glucose/insulin Concentrations In An Insulin Dependent Diabetic Subject

ABSTRACT Mathematical models describing the variations in the plasma glucose and J insulin levels over time in an insulin - dependent diabetic person (IDD patient) were formulated. We showed that these models can correctly describe these variations when we solved them sirnuttaneously by andytical approach rather than the normal numerical approach employed for solving non-linear differential equations. The effect of the various parameters involved in the model were tested and it was shown that even though the body cell response to the plasn~a glucose contributes to the determination of the pla…