Bi-Hormonal Glycemic Control Based On Economic Game Theory

Insulin pump therapy is an equipment to control the blood sugar of diabetes with continuous infusion by subcutaneous insulin. According to a number of clinical studies, it is proved that the insulin pump therapy can manage blood sugar well for Type 1 and some Type 2 diabetic patients. It is easy to use and applicable for people of all ages as well. Therefore, the usage of insulin pumps is increasing. Currently, the insulin pump mainly adopts uni-hormonal method (i.e. infusion of insulin only), which can’t take remedial treatment to the hypoglycemia timely while a short time of hypoglycemia may cause great danger and even danger to life. Therefore, the glucagon can be a good choice to solve this problem, in addition, many clinical evidences demonstrate that bi-hormonal therapy (infusion of insulin and glucagon), which can imitate more accurately the physiological way of human’s pancreas islet for secreting two hormones, is the most promising approach for managing blood glucose.Aiming at the above problem, the proposed bi-hormonal control strategy is aimed at further reduce the appearance of hypoglycemia and hence the serious harms caused by hypoglycemia. In this paper, the controllers of two hormone subsystems are designed with corresponding cost function and switching rule by adopting the idea of MPC and combined with game theory. The effectiveness of the proposed method is proved by the simulation, while the advantage is confirmed through the robustness test and contrast trial with two traditional control strategies. The ultimate objective is to design a reasonable and effective control method to coordinate the injections of two kinds of hormones by using of model predictive control (MPC) and game theory, with maximizing the economic benefit.This study focuses on bi-hormonal artificial pancreas system based on MPC and game theory, which might help the readers get more new ideas and methods for diabetes management.