Algorithms for a Closed-Loop Artificial Pancreas: The Case for Proportional-Integral-Derivative Control

Closed-loop insulin delivery continues to be one of most promising strategies for achieving near-normal control of blood glucose levels in individuals with diabetes. Of the many components that need to work well for the artificial pancreas to be advanced into routine use, the algorithm used to calculate insulin delivery has received a substantial amount of attention. Most of that attention has focused on the relative merits of proportional-integral-derivative versus model-predictive control. A meta-analysis of the clinical data obtained in studies performed to date with these approaches is conducted here, with the objective of determining if there is a trend for one approach to be performing better than the other approach. Challenges associated with implementing each approach are reviewed with the objective of determining how these approaches might be improved. Results of the meta-analysis, which focused predominantly on the breakfast meal response, suggest that to date, the two approaches have performed similarly. However, uncontrolled variables among the various studies, and the possibility that future improvements could still be effected in either approach, limit the validity of this conclusion. It is suggested that a more detailed examination of the challenges associated with implementing each approach be conducted.

[1]  R. Bergman,et al.  Causal linkage between insulin suppression of lipolysis and suppression of liver glucose output in dogs. , 1996, The Journal of clinical investigation.

[2]  Rik Pintelon,et al.  An Introduction to Identification , 2001 .

[3]  P. N. Paraskevopoulos,et al.  Modern Control Engineering , 2001 .

[4]  G. Steil,et al.  Modeling beta-cell insulin secretion--implications for closed-loop glucose homeostasis. , 2003, Diabetes technology & therapeutics.

[5]  G. Steil,et al.  Closed-loop insulin delivery-the path to physiological glucose control. , 2004, Advanced drug delivery reviews.

[6]  G M Steil,et al.  Modeling insulin action for development of a closed-loop artificial pancreas. , 2005, Diabetes technology & therapeutics.

[7]  G. Steil,et al.  Feasibility of Automating Insulin Delivery for the Treatment of Type 1 Diabetes , 2006, Diabetes.

[8]  L. Magni,et al.  Model Predictive Control of Type 1 Diabetes: An in Silico Trial , 2007, Journal of diabetes science and technology.

[9]  Stephen D Patek,et al.  Linear Quadratic Gaussian-Based Closed-Loop Control of Type 1 Diabetes , 2007, Journal of diabetes science and technology.

[10]  Bruce Buckingham,et al.  Glucose control in pediatric intensive care unit patients using an insulin-glucose algorithm. , 2007, Diabetes technology & therapeutics.

[11]  J. Leahy,et al.  Fully Automated Closed-Loop Insulin Delivery Versus Semiautomated Hybrid Control in Pediatric Patients With Type 1 Diabetes Using an Artificial Pancreas , 2008 .

[12]  Jaques Reifman,et al.  Mathematical Modeling Research to Support the Development of Automated Insulin-Delivery Systems , 2009, Journal of diabetes science and technology.

[13]  S. Patek,et al.  Closed-Loop Artificial Pancreas Using Subcutaneous Glucose Sensing and Insulin Delivery and a Model Predictive Control Algorithm: The Virginia Experience , 2009, Journal of diabetes science and technology.

[14]  L. Magni,et al.  Closed-Loop Artificial Pancreas Using Subcutaneous Glucose Sensing and Insulin Delivery and a Model Predictive Control Algorithm: Preliminary Studies in Padova and Montpellier , 2009, Journal of diabetes science and technology.

[15]  Garry M. Steil,et al.  Identification of Intraday Metabolic Profiles during Closed-Loop Glucose Control in Individuals with Type 1 Diabetes , 2009, Journal of diabetes science and technology.

[16]  Robert G. Sutherlin,et al.  A Bihormonal Closed-Loop Artificial Pancreas for Type 1 Diabetes , 2010, Science Translational Medicine.

[17]  W. Kenneth Ward,et al.  Novel Use of Glucagon in a Closed-Loop System for Prevention of Hypoglycemia in Type 1 Diabetes , 2010, Diabetes Care.

[18]  Jaques Reifman,et al.  Update on Mathematical Modeling Research to Support the Development of Automated Insulin Delivery Systems , 2010, Journal of diabetes science and technology.

[19]  Ahmad Haidar,et al.  Closed-Loop Insulin Delivery During Pregnancy Complicated by Type 1 Diabetes , 2011, Diabetes Care.

[20]  Auto-tuners for PID Controllers , 2011 .

[21]  Janet M. Allen,et al.  Overnight closed loop insulin delivery (artificial pancreas) in adults with type 1 diabetes: crossover randomised controlled studies , 2011, BMJ : British Medical Journal.

[22]  Anirban Roy,et al.  The effect of insulin feedback on closed loop glucose control. , 2011, The Journal of clinical endocrinology and metabolism.

[23]  Anirban Roy,et al.  Effect of Pramlintide on Prandial Glycemic Excursions During Closed-Loop Control in Adolescents and Young Adults With Type 1 Diabetes , 2012, Diabetes Care.

[24]  Jaques Reifman,et al.  Use of a Food and Drug Administration-Approved Type 1 Diabetes Mellitus Simulator to Evaluate and Optimize a Proportional-Integral-Derivative Controller , 2012, Journal of diabetes science and technology.

[25]  G. Steil,et al.  The Identifiable Virtual Patient Model: Comparison of Simulation and Clinical Closed-Loop Study Results , 2012, Journal of diabetes science and technology.

[26]  F. Pigula,et al.  Tight glycemic control versus standard care after pediatric cardiac surgery. , 2012, The New England journal of medicine.

[27]  Stuart A Weinzimer,et al.  Effect of Insulin Feedback on Closed-Loop Glucose Control: A Crossover Study , 2012, Journal of diabetes science and technology.

[28]  F. El-Khatib,et al.  Blood Glucose Control in Type 1 Diabetes With a Bihormonal Bionic Endocrine Pancreas , 2012, Diabetes Care.

[29]  B Wayne Bequette,et al.  Algorithms for a Closed-Loop Artificial Pancreas: The Case for Model Predictive Control , 2013, Journal of diabetes science and technology.

[30]  G. Steil,et al.  The Artificial Pancreas: Is it Important to Understand How the β Cell Controls Blood Glucose? , 2013, Journal of diabetes science and technology.

[31]  G. Steil,et al.  Dietary Fat Acutely Increases Glucose Concentrations and Insulin Requirements in PatientsWith Type 1 Diabetes Implications for carbohydrate-based bolus dose calculation and intensive diabetes management , 2013 .

[32]  G. Steil,et al.  Closed-Loop Insulin Therapy Improves Glycemic Control in Children Aged <7 Years , 2013, Diabetes Care.

[33]  E. Atlas,et al.  Nocturnal glucose control with an artificial pancreas at a diabetes camp. , 2013, The New England journal of medicine.

[34]  Irl B Hirsch,et al.  Use of a "fuzzy logic" controller in a closed-loop artificial pancreas. , 2013, Diabetes technology & therapeutics.