Model predictive control with integral action for artificial pancreas

Abstract A Model Predictive Control (MPC) approach with integral action, called Integral MPC (IMPC), for Artificial Pancreas systems is proposed. IMPC ensures beneficial effects in terms of regulation to target in presence of disturbances and model uncertainties. The proposed approach exploits individualized models identified by Constrained Optimization (CO) described in Messori et al. (2016). In order to assess the proposed IMPC in comparison with a previously published MPC, in silico experiments are carried out on realistic scenarios performed on the 100 virtual patients of the UVA/PADOVA simulator.

[1]  Roman Hovorka,et al.  Home use of closed-loop insulin delivery for overnight glucose control in adults with type 1 diabetes: a 4-week, multicentre, randomised crossover study. , 2014, The lancet. Diabetes & endocrinology.

[2]  Claudio Cobelli,et al.  Randomized Summer Camp Crossover Trial in 5- to 9-Year-Old Children: Outpatient Wearable Artificial Pancreas Is Feasible and Safe , 2016, Diabetes Care.

[3]  C. Cobelli,et al.  The university of Virginia/Padova type 1 diabetes simulator matches the glucose traces of a clinical trial. , 2014 .

[4]  Moshe Phillip,et al.  Feasibility study of automated overnight closed-loop glucose control under MD-logic artificial pancreas in patients with type 1 diabetes: the DREAM Project. , 2012, Diabetes technology & therapeutics.

[5]  Claudio Cobelli,et al.  Artificial Pancreas: Model Predictive Control Design from Clinical Experience , 2013, Journal of diabetes science and technology.

[6]  Giovanni Sparacino,et al.  Diabetes: Models, Signals, and Control , 2009 .

[7]  Claudio Cobelli,et al.  One-Day Bayesian Cloning of Type 1 Diabetes Subjects: Toward a Single-Day UVA/Padova Type 1 Diabetes Simulator , 2016, IEEE Transactions on Biomedical Engineering.

[8]  Bhim Singh,et al.  Variable Forgetting Factor Recursive Least Square Control Algorithm for DSTATCOM , 2015, IEEE Transactions on Power Delivery.

[9]  Claudio Cobelli,et al.  Artificial Pancreas: from in-silico to in-vivo , 2015 .

[10]  Claudio Cobelli,et al.  Circadian variability of insulin sensitivity: physiological input for in silico artificial pancreas. , 2015, Diabetes technology & therapeutics.

[11]  Malgorzata E. Wilinska,et al.  Overnight Closed-Loop Insulin Delivery with Model Predictive Control: Assessment of Hypoglycemia and Hyperglycemia Risk Using Simulation Studies , 2009, Journal of diabetes science and technology.

[12]  Claudio Cobelli,et al.  GIM, Simulation Software of Meal Glucose—Insulin Model , 2007, Journal of diabetes science and technology.

[13]  C. Cobelli,et al.  The UVA/PADOVA Type 1 Diabetes Simulator , 2014, Journal of diabetes science and technology.

[14]  Denis Gillet,et al.  A therapy parameter-based model for predicting blood glucose concentrations in patients with type 1 diabetes , 2015, Comput. Methods Programs Biomed..

[15]  Claudio Cobelli,et al.  2 month evening and night closed-loop glucose control in patients with type 1 diabetes under free-living conditions: a randomised crossover trial. , 2015, The lancet. Diabetes & endocrinology.

[16]  R. Hovorka,et al.  Coming of age: the artificial pancreas for type 1 diabetes , 2016, Diabetologia.

[17]  Giuseppe De Nicolao,et al.  MPC based Artificial Pancreas: Strategies for individualization and meal compensation , 2012, Annu. Rev. Control..

[18]  Giuseppe De Nicolao,et al.  Model individualization for artificial pancreas , 2016, Comput. Methods Programs Biomed..

[19]  Gian Paolo Incremona,et al.  Individualized model predictive control for the artificial pancreas: In silico evaluation of closed-loop glucose control , 2018 .

[20]  Claudio Cobelli,et al.  Toward a Run-to-Run Adaptive Artificial Pancreas: In Silico Results , 2018, IEEE Transactions on Biomedical Engineering.

[21]  Eyal Dassau,et al.  Zone Model Predictive Control: A Strategy to Minimize Hyper- and Hypoglycemic Events , 2010, Journal of diabetes science and technology.

[22]  David M Nathan,et al.  Outpatient glycemic control with a bionic pancreas in type 1 diabetes. , 2014, The New England journal of medicine.

[23]  Janet M. Allen,et al.  Day and Night Closed-Loop Control in Adults With Type 1 Diabetes , 2013, Diabetes Care.

[24]  M W Percival,et al.  Development of a multi-parametric model predictive control algorithm for insulin delivery in type 1 diabetes mellitus using clinical parameters. , 2011, Journal of process control.

[25]  Panagiotis D. Christofides,et al.  Improved postprandial glucose control with a customized Model Predictive Controller , 2015, 2015 American Control Conference (ACC).

[26]  Eyal Dassau,et al.  Design and Evaluation of a Robust PID Controller for a Fully Implantable Artificial Pancreas , 2015, Industrial & engineering chemistry research.

[27]  G. Steil Algorithms for a Closed-Loop Artificial Pancreas: The Case for Proportional-Integral-Derivative Control , 2013, Journal of diabetes science and technology.

[28]  B. Wayne Bequette,et al.  Challenges and recent progress in the development of a closed-loop artificial pancreas , 2012, Annu. Rev. Control..

[29]  Ali Cinar,et al.  Multivariable Adaptive Identification and Control for Artificial Pancreas Systems , 2014, IEEE Transactions on Biomedical Engineering.

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

[31]  L. Magni,et al.  Multicenter outpatient dinner/overnight reduction of hypoglycemia and increased time of glucose in target with a wearable artificial pancreas using modular model predictive control in adults with type 1 diabetes , 2015, Diabetes, obesity & metabolism.

[32]  Etienne Burdet,et al.  Dynamics and control of an MRI compatible master-slave system with hydrostatic transmission , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

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

[34]  Josep Vehí,et al.  Experimental blood glucose interval identification of patients with type 1 diabetes , 2014 .

[35]  C. Cobelli,et al.  Artificial Pancreas: Past, Present, Future , 2011, Diabetes.

[36]  Gian Paolo Incremona,et al.  Artificial Pancreas: from Control-to-Range to Control-to-Target , 2017 .

[37]  William V Tamborlane,et al.  Comparison of Human Regular and Lispro Insulins After Interruption of Continuous Subcutaneous Insulin Infusion and in the Treatment of Acutely Decompensated IDDM , 1998, Diabetes Care.

[38]  Claudio Cobelli,et al.  Individually Adaptive Artificial Pancreas in Subjects with Type 1 Diabetes: A One-Month Proof-of-Concept Trial in Free-Living Conditions , 2017 .

[39]  L. Magni,et al.  Day-and-Night Closed-Loop Glucose Control in Patients With Type 1 Diabetes Under Free-Living Conditions: Results of a Single-Arm 1-Month Experience Compared With a Previously Reported Feasibility Study of Evening and Night at Home , 2016, Diabetes Care.

[40]  Howard C. Zisser,et al.  Outcome Measures for Artificial Pancreas Clinical Trials: A Consensus Report , 2016, Diabetes Care.

[41]  Dale E. Seborg,et al.  An Improved PID Switching Control Strategy for Type 1 Diabetes , 2008, IEEE Transactions on Biomedical Engineering.

[42]  A. Sutradhar,et al.  Data driven nonparametric identification and model based control of glucose-insulin process in type 1 diabetics , 2016 .

[43]  E. Atlas,et al.  MD-Logic Artificial Pancreas System , 2010, Diabetes Care.

[44]  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.

[45]  E. Atlas,et al.  Automatic learning algorithm for the MD-logic artificial pancreas system. , 2011, Diabetes technology & therapeutics.

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

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

[48]  Rolf Johansson,et al.  Direct continuous time system identification of MISO transfer function models applied to type 1 diabetes , 2011, IEEE Conference on Decision and Control and European Control Conference.

[49]  Claudio Cobelli,et al.  A Constrained Model Predictive Controller for an Artificial Pancreas , 2014 .

[50]  Antoine Robert,et al.  The Diabetes Assistant: A Smartphone-Based System for Real-Time Control of Blood Glucose , 2014 .

[51]  L. Magni,et al.  First Use of Model Predictive Control in Outpatient Wearable Artificial Pancreas , 2014, Diabetes Care.

[52]  Claudio Cobelli,et al.  Meal Simulation Model of the Glucose-Insulin System , 2007, IEEE Transactions on Biomedical Engineering.

[53]  Eyal Dassau,et al.  Control to Range for Diabetes: Functionality and Modular Architecture , 2009, Journal of diabetes science and technology.

[54]  R. Hovorka,et al.  Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes. , 2004, Physiological measurement.