Dynamical analysis of a nonlinear model for glucose–insulin system incorporating delays and image-cells compartment Original Research Article

A mathematical model of the glucose–insulin control mechanism which incorporates the role of ββ-cells and time-delays is investigated. An analysis of the model is carried out by relying on the Hopf bifurcation theory in order to derive the conditions under which the system permits different dynamical behavior including the existence of periodic solutions. A genetic algorithm is utilized to find an optimal set of parametric values for which the simulated curve best fits our experimental glycemia data.