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296    CHAPTER 15 Automated closed-loop insulin delivery




                            Despite the advancement in AP systems, a clinically significant number of hypo-
                         glycemic events were reported during tests of closed-loop delivery systems [41]. To
                         further reduce the risk of hypoglycemia, dual-hormone closed-loop delivery systems
                         are developed that combine insulin delivery with subcutaneous glucagon delivery
                         [42e45]. Glucagon, a hormone produced in the alpha cells of the pancreas, counters
                         the effects of insulin through promoting the breakdown of glycogen to glucose by
                         the liver, thus stabilizing glucose concentrations and preventing hypoglycemia.
                         Other approaches to reduce the risk of hypoglycemia include suggesting rescue car-
                         bohydrates with hypoglycemia, which is predicted by the control algorithms.
                            The incorporation of additional physiological variables in mAP systems and the
                         estimation of model parameters and meal consumption enhance the available infor-
                         mation on the physiologic and metabolic state of the subject. In addition to these
                         innovations, the amount of previously administered insulin that is present in the
                         blood or the subcutaneous space, called as the insulin on board (IOB), must be quan-
                         tified to prevent overdosing. The IOB is typically determined in infusion pumps
                         through static approximations of the insulin action curves [30,46,47]. The insulin
                         action curves, though convenient, do not account for the time-varying dynamics
                         and kinetics of the metabolic states of individuals due to the diurnal variations in
                         the insulin diffusion, absorption, and utilization. Therefore the insulin decay profiles
                         and action curves used in calculating IOB are not accurate enough over the diverse
                         conditions encountered throughout the day to be reliably used in an mAP system. In
                         contrast, accurate estimates of the insulin concentration in the bloodstream can be
                         obtained using CGM measurements with adaptive observers designed for simulta-
                         neous state and parameter estimation. The estimated plasma insulin concentration
                         (PIC) can be subsequently used to design a predictive control algorithm that is
                         dynamically constrained by the estimated PIC and thus explicitly considers the
                         insulin concentration in the bloodstream as part of the optimal control solution
                         [48]. Incorporating PIC constraints in the optimal control problems can prevent
                         insulin stacking that may lead to hypoglycemia.
                            The remainder of the chapter describes the various facets of the AP systems in
                         detail. First, the popular closed-loop glycemic control algorithms, including PID
                         control and MPC, are discussed. Then, dynamic glucose-insulin modeling methods
                         and adaptive control techniques are presented, followed by a review of state and
                         parameter estimation techniques. Finally, closed-loop glycemic control results are
                         demonstrated using an adaptive MPC approach and possible future research direc-
                         tions are briefly outlined.




                         Closed-loop glycemic control algorithms
                         Proportional-integral-derivative control
                         PID control is widely adopted in various industries to regulate an output variable by
                         manipulating an input variable. PID control computes the control action based on the
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