The Artificial Pancreas: Is it Important to Understand How the β Cell Controls Blood Glucose?

It has been more than 7 years since the first fully automated closed-loop insulin delivery system that linked subcutaneous insulin delivery and glucose sensing was published. Since the initial report, the physiologic insulin delivery (PID) algorithm used to emulate the β cell has been modified from the original proportional-integral-derivative terms needed to fit the β cell's biphasic response to a hyperglycemic clamp to include terms emulating cephalic phase insulin release and the effect of insulin per se to inhibit insulin secretion. In this article, we compare the closed-loop glucose profiles obtained as each new term has been added, reassess the ability of the revised PID model to describe the β cells' insulin response to a hyperglycemic clamp, and look for the first time at its ability to describe the response to a hypoglycemic clamp. We also consider changes that might be added to the model based on perfused pancreas data. We conclude that the changes introduced in the PID model have systematically improved the closed-loop meal response. We note that the changes made do not adversely affect the ability of the model to fit hyperglycemic clamp data but are necessary to fit the response to a hypoglycemic clamp. Finally, we note a number of β cell characteristics observed in the perfused pancreas have not been included in the model. We suggest that continuing the effort to understand and incorporate aspects of how the β cell achieves glucose control can provide valuable insights into how improvements in future artificial pancreas algorithms might be achieved.

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

[2]  V. Grill Time and dose dependencies for priming effect of glucose on insulin secretion. , 1981, The American journal of physiology.

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

[4]  S. Mudaliar,et al.  Insulin aspart (B28 asp-insulin): a fast-acting analog of human insulin: absorption kinetics and action profile compared with regular human insulin in healthy nondiabetic subjects. , 1999, Diabetes care.

[5]  D. Dunger,et al.  Closed-loop insulin delivery for treatment of type 1 diabetes , 2011, BMC medicine.

[6]  Xujing Wang,et al.  Mathematical modeling of insulin secretion and the role of glucose-dependent mobilization, docking, priming and fusion of insulin granules. , 2013, Journal of theoretical biology.

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

[8]  R. Bergman,et al.  Free Fatty Acid as a Link in the Regulation of Hepatic Glucose Output by Peripheral Insulin , 1995, Diabetes.

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

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

[11]  R. Bergman,et al.  Acute enhancement of insulin secretion by FFA in humans is lost with prolonged FFA elevation. , 1999, American journal of physiology. Endocrinology and metabolism.

[12]  H. Landahl,et al.  Comparison of storage- and signal-limited models of pancreatic insulin secretion. , 1980, The American journal of physiology.

[13]  G M Steil,et al.  Dynamics of Glucose Production and Uptake Are More Closely Related to Insulin in Hindlimb Lymph Than in Thoracic Duct Lymph , 1994, Diabetes.

[14]  Lena Eliasson,et al.  Fast insulin secretion reflects exocytosis of docked granules in mouse pancreatic B-cells , 2002, Pflügers Archiv.

[15]  G. Steil,et al.  Evaluation of insulin sensitivity and beta-cell function indexes obtained from minimal model analysis of a meal tolerance test. , 2004, Diabetes.

[16]  Timothy W. Jones,et al.  Analysis of Glucose Responses to Automated Insulin Suspension With Sensor-Augmented Pump Therapy , 2012, Diabetes Care.

[17]  R. Bergman,et al.  Accurate Assessment of β-Cell Function: The Hyperbolic Correction , 2002 .

[18]  H. Landahl,et al.  Heterogeneity and compartmental properties of insulin storage and secretion in rat islets. , 1982, The Journal of clinical investigation.

[19]  David C Klonoff,et al.  Reduction in duration of hypoglycemia by automatic suspension of insulin delivery: the in-clinic ASPIRE study. , 2012, Diabetes technology & therapeutics.

[20]  H. Landahl,et al.  IN VITRO STUDIES SUGGESTING A TWO-COMPARTMENTAL MODEL FOR INSULIN SECRETION , 1970 .

[21]  J. Tobin,et al.  Feedback inhibition of insulin secretion by insulin: relation to the hyperinsulinemia of obesity. , 1982, The New England journal of medicine.

[22]  F. Hariri,et al.  Interstitial fluid glucose dynamics during insulin-induced hypoglycaemia , 2005, Diabetologia.

[23]  Jeppe Sturis,et al.  Estimation of Insulin Secretion Rates from C-Peptide Levels: Comparison of Individual and Standard Kinetic Parameters for C-Peptide Clearance , 1992, Diabetes.

[24]  D. Porte,et al.  Insulin responses to glucose: evidence for a two pool system in man. , 1969, The Journal of clinical investigation.

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

[26]  G. Dalsky,et al.  Insulin secretory capacity in endurance-trained and untrained young men. , 1990, The American journal of physiology.

[27]  H. Landahl,et al.  Role of rate of change of glucose concentration as a signal for insulin release. , 1977, Endocrinology.

[28]  C Cobelli,et al.  Oral glucose tolerance test minimal model indexes of beta-cell function and insulin sensitivity. , 2001, Diabetes.

[29]  R. Bergman New concepts in extracellular signaling for insulin action: the single gateway hypothesis. , 1997, Recent progress in hormone research.

[30]  E. Atlas,et al.  The “Glucositter” overnight automated closed loop system for type 1 diabetes: A randomized crossover trial , 2013, Pediatric Diabetes.

[31]  G. Grodsky,et al.  Evaluation of the Role of Exogenous Insulin on Phasic Insulin Secretion , 1973, Diabetes.

[32]  Continuous subcutaneous insulin infusion (CSII) pumps. , 2012, Advances in experimental medicine and biology.

[33]  Howard C. Zisser,et al.  Fully Integrated Artificial Pancreas in Type 1 Diabetes , 2012, Diabetes.

[34]  K. M. Erickson,et al.  Prehepatic insulin production in man: kinetic analysis using peripheral connecting peptide behavior. , 1980, The Journal of clinical endocrinology and metabolism.

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

[36]  K. Teff,et al.  How neural mediation of anticipatory and compensatory insulin release helps us tolerate food , 2011, Physiology & Behavior.

[37]  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 .

[38]  R. Bergman,et al.  Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose. , 1981, The Journal of clinical investigation.

[39]  Howard C. Zisser,et al.  Clinical Evaluation of a Personalized Artificial Pancreas , 2013, Diabetes Care.

[40]  J. Bryan,et al.  Docking and fusion of insulin secretory granules in SUR1 knock out mouse β‐cells observed by total internal reflection fluorescence microscopy , 2005, FEBS letters.

[41]  T. Kapellen,et al.  Predicting the Optimal Basal Insulin Infusion Pattern in Children and Adolescents on Insulin Pumps , 2013, Diabetes Care.

[42]  D. B. Keenan,et al.  Closed-Loop Insulin Delivery Utilizing Pole Placement to Compensate for Delays in Subcutaneous Insulin Delivery , 2011, Journal of diabetes science and technology.

[43]  K. Kumakura,et al.  Site of Docking and Fusion of Insulin Secretory Granules in Live MIN6 β Cells Analyzed by TAT-conjugated Anti-syntaxin 1 Antibody and Total Internal Reflection Fluorescence Microscopy* , 2004, Journal of Biological Chemistry.

[44]  G M Steil,et al.  Transendothelial insulin transport is not saturable in vivo. No evidence for a receptor-mediated process. , 1996, The Journal of clinical investigation.

[45]  M. Noda,et al.  Identification of the docked granule pool responsible for the first phase of glucose-stimulated insulin secretion. , 1999, Diabetes.

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

[47]  Roman Hovorka,et al.  Evaluation of a portable ambulatory prototype for automated overnight closed‐loop insulin delivery in young people with type 1 diabetes , 2012, Pediatric diabetes.

[48]  D. Elahi In Praise of the Hyperglycemic Clamp: A method for assessment of β-cell sensitivity and insulin resistance , 1996, Diabetes Care.

[49]  Ahmad Haidar,et al.  Closed-Loop Basal Insulin Delivery Over 36 Hours in Adolescents With Type 1 Diabetes , 2013, Diabetes Care.

[50]  D. Elahi,et al.  Physiological Importance of First-Phase Insulin Release in Elderly Patients With Diabetes , 1998, Diabetes Care.

[51]  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.

[52]  R. DeFronzo,et al.  Glucose clamp technique: a method for quantifying insulin secretion and resistance. , 1979, The American journal of physiology.

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

[54]  Claudio Cobelli,et al.  A subcellular model of glucose-stimulated pancreatic insulin secretion , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[55]  Eyal Dassau,et al.  Pilot Studies of Wearable Outpatient Artificial Pancreas in Type 1 Diabetes , 2012, Diabetes Care.

[56]  R. Bergman,et al.  Accurate assessment of beta-cell function: the hyperbolic correction. , 2002, Diabetes.

[57]  P. Abel,et al.  Automated feedback control of subcutaneous glucose concentration in diabetic dogs , 2004, Diabetologia.

[58]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

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

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

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

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

[63]  G. Steil,et al.  Dietary Fat Acutely Increases Glucose Concentrations and Insulin Requirements in Patients With Type 1 Diabetes , 2013, Diabetes Care.

[64]  G. Grodsky,et al.  Dynamics of insulin secretion by the perfused rat pancreas. , 1968, Endocrinology.

[65]  G. Grodsky,et al.  Excessive Insulin Response to Glucose in Obese Subjects as Measured by Immunochemical Assay , 1963, Diabetes.

[66]  R. Bergman,et al.  Indirect effect of insulin to suppress endogenous glucose production is dominant, even with hyperglucagonemia. , 1997, The Journal of clinical investigation.

[67]  E. Cerasi,et al.  A Mathematical Model for the Glucose Induced Insulin Release in Man , 1974, European journal of clinical investigation.

[68]  C. C. Palerm,et al.  Closed-Loop Insulin Delivery Using a Subcutaneous Glucose Sensor and Intraperitoneal Insulin Delivery , 2009, Diabetes Care.

[69]  Claudio Cobelli,et al.  Oral Glucose Tolerance Test Minimal Model Indexes of β-Cell Function and Insulin Sensitivity , 2001 .

[70]  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.

[71]  A H Clemens,et al.  The development of Biostator, a Glucose Controlled Insulin Infusion System (GCIIS). , 1977, Hormone and metabolic research = Hormon- und Stoffwechselforschung = Hormones et metabolisme.

[72]  G M Steil,et al.  Role of portal insulin delivery in the disappearance of intravenous glucose and assessment of insulin sensitivity. , 1998, Diabetes.

[73]  G. Grodsky,et al.  A threshold distribution hypothesis for packet storage of insulin and its mathematical modeling. , 1972, The Journal of clinical investigation.

[74]  Christofer Toumazou,et al.  A Bio-Inspired Glucose Controller Based on Pancreatic β-Cell Physiology , 2012, Journal of diabetes science and technology.

[75]  M. Gishizky,et al.  Evidence that glucose "marks" beta cells resulting in preferential release of newly synthesized insulin. , 1982, Science.