Linear feedback-based control of blood glucose in a modified model for glucose-insulin kinetics: A theoretical study

Article Type

Research Article

Publication Title

International Journal of Biomathematics


In this paper, we present a modified minimal model for glucose and insulin kinetics model. The model proposed here is a smooth approximation of the original non-smooth minimal model. The dynamical properties like dissipativity, existence of equilibrium and stability of the system at the equilibrium points are investigated. A linear feedback-based control strategy is studied to control the blood glucose level in the situation where the physical system fails to regulate the blood glucose level automatically. A critical control parameter value kc is determined in terms of the system parameters. Extensive numerical simulation is performed with different parameter sets. Assuming different values for the feedback gain parameter, ranges of physiological parameter α are determined where the feedback gain is sufficient to stabilize the control system.



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