The impact of glucose sensing dynamics on the closed-loop artificial pancreas

A closed-loop artificial pancreas (AP) to provide automated treatment for people with type 1 diabetes mellitus has the potential to improve patient health outcomes; however, the system's success hinges on its ability to quickly detect and react to changing blood glucose concentrations (BG). In this study, the impact of measurement lag on AP robust stability, performance, and time-domain disturbance rejection was investigated and compared to the case of an ideal BG sensor. The analysis was performed for an AP using either intraperitoneal (IP) or subcutaneous (SC) insulin delivery routes. Decreasing the sensor lag resulted in a higher tolerance for model uncertainty for robust stability and performance. In the case of a 20 min sensor lag, the time spent in hyperglycemia after a meal disturbance was 59±19 min and 120 ±22 min for IP and SC insulin, respectively. Switching the sensor to the ideal case decreased the time spent in hyperglycemia by 21±8 min for IP insulin and by 13±3 min for SC insulin. Since the SC system already contains large actuation delays, a faster sensor is not as important to improved performance as it is in the IP case. Significant gains in AP performance can be achieved with the use of IP insulin, but these improvements will not be fully realized unless faster glucose sensing is implemented as well.

[1]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[2]  Alessia Tagliavini Development and evaluation of pid controllers for glucose control in people with type 1 diabetes mellitus , 2012 .

[3]  C. Cobelli,et al.  Time Lag of Glucose From Intravascular to Interstitial Compartment in Humans , 2013, Diabetes.

[4]  Lauren M. Huyett,et al.  Glucose Sensing in the Peritoneal Space Offers Faster Kinetics Than Sensing in the Subcutaneous Space , 2014, Diabetes.

[5]  S. Skogestad Simple analytic rules for model reduction and PID controller tuning , 2004 .

[6]  Lauren M. Huyett,et al.  Closed-Loop Artificial Pancreas Systems: Engineering the Algorithms , 2014, Diabetes Care.

[7]  G. Boden,et al.  Evidence for a Circadian Rhythm of Insulin Sensitivity in Patients With NIDDM Caused by Cyclic Changes in Hepatic Glucose Production , 1996, Diabetes.

[8]  Eyal Dassau,et al.  The impact of insulin pharmacokinetics and pharmacodynamics on the closed-loop artificial pancreas , 2013, 52nd IEEE Conference on Decision and Control.

[9]  Dale E. Seborg,et al.  Control-Relevant Models for Glucose Control Using A Priori Patient Characteristics , 2012, IEEE Transactions on Biomedical Engineering.

[10]  Eyal Dassau,et al.  Design and in silico evaluation of an intraperitoneal-subcutaneous (IP-SC) artificial pancreas , 2014, Comput. Chem. Eng..

[11]  S. Genuth,et al.  The effect of intensive treatment of diabetes on the development and progression of long-term complications in insulin-dependent diabetes mellitus. , 1993, The New England journal of medicine.

[12]  Claudio Cobelli,et al.  Time Lag of Glucose From Intravascular to Interstitial Compartment in Type 1 Diabetes , 2014, Journal of diabetes science and technology.

[13]  B. Goldstein,et al.  Textbook of diabetes , 2017 .

[14]  C. Cobelli,et al.  In Silico Preclinical Trials: A Proof of Concept in Closed-Loop Control of Type 1 Diabetes , 2009, Journal of diabetes science and technology.

[15]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[16]  Gene F. Franklin,et al.  Digital Control Of Dynamic Systems 3rd Edition , 2014 .