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Adaptive control of artificial pancreas systems for treatment of type 1 diabetes  73


              AL-MPC computation repeated at subsequent sampling instances using new
              CGM measurements, updated states, and newly calculated penalty weights
              of the objective function.



              4Results
              The efficacy of the proposed PMM-AP is demonstrated by using a multi-
              variable simulator (mGIPsim) developed by our research group at Illinois
              Institute of Technology based on a modified Hovorka’s glucose-insulin
              dynamic model that takes into account the effects of different physical activ-
              ities and meals (Rashid et al., 2019). In addition to the CGM values, the
              mGIPsim generates physiological variable signals reported by noninvasive
              wearable devices. MET is a physiological measure expressing the energy cost
              of PA. MET is used to express the intensity and energy expenditure of PAs.
              Aerobic exercises with a stationary bicycle are considered for testing the
              PMM-AP system. Twenty virtual subjects are simulated for 30 days with
              varying times and quantities of meals consumed on each day and different
              intensities and times of physical activities as detailed in Tables 1 and 2.
              The meal and PA information are not entered manually to the PMM-AP
              system as the PMM-AP controller is designed to regulate the BGC in the
              presence of significant disturbances such as unannounced meals and exer-
              cises. The energy expenditure values expressed as MET variations are com-
              puted by the simulator and used as input variables summarizing the


              Table 1 Meal scenario for 30-day closed-loop experiment using mGIPsim.
                                                  Range for values
              Meal
                                   Time                       Amount (g)
              Breakfast            ½ 06 : 00,07 : 00Š         ½  40,60Š
              Lunch                ½ 12 : 00,13 : 00Š         ½ 40,60Š
              Dinner               ½ 18 : 00,19 : 00Š         ½  40,60Š


              Table 2 Exercise scenario for 30-day closed-loop experiment using mGIPsim.
                                               Range for values
              Exercise
                             Time                 Duration (min)     Power

              Bicycling      ½ 10 : 00,11 : 00Š   ½ 30,60Š           ½ 50,90Š
              Bicycling      ½ 16 : 00,17 : 00Š   ½ 30,60Š           ½ 50,90Š
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