Comparison of Prediction Models for a Dual-Hormone Artificial Pancreas

Abstract In this paper we compare the performance of five different continuous time transfer function models used in closed-loop model predictive control (MPC). These models describe the glucose-insulin and glucose-glucagon dynamics. They are discretized into a state-space description and used as prediction models in the MPC algorithm. We simulate a scenario including meals and daily variations in the model parameters. The numerical results do not show significant changes in the glucose traces for any of the models, excepted for the first order model. From the present study, we can conclude that the second order model without delay should provide the best trade-off between sensitivity to uncertainties and practical usability for in vivo clinical studies.

[1]  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.

[2]  Niels Kjølstad Poulsen,et al.  Tuning of Controller for Type 1 Diabetes Treatment with Stochastic Differential Equations , 2012 .

[3]  Christofer Toumazou,et al.  A Composite Model of Glucagon-Glucose Dynamics for In Silico Testing of Bihormonal Glucose Controllers , 2013, Journal of diabetes science and technology.

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

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

[6]  Giuseppe De Nicolao,et al.  Model predictive control of glucose concentration in type I diabetic patients: An in silico trial , 2009, Biomed. Signal Process. Control..

[7]  Giovanni Sparacino,et al.  Numerical non-identifiability regions of the minimal model of glucose kinetics: superiority of Bayesian estimation. , 2003, Mathematical biosciences.

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

[9]  Anna J. Martin COMPOSITE MODEL OF . , 1967 .

[10]  Boris Kovatchev,et al.  Analysis, Modeling, and Simulation of the Accuracy of Continuous Glucose Sensors , 2008, Journal of diabetes science and technology.

[11]  Niels Kjølstad Poulsen,et al.  Bihormonal model predictive control of blood glucose in people with type 1 diabetes , 2014, 2014 IEEE Conference on Control Applications (CCA).

[12]  Niels Kjølstad Poulsen,et al.  Overnight Control of Blood Glucose in People with Type 1 Diabetes , 2012 .

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

[14]  Niels Kjølstad Poulsen,et al.  Bihormonal control of blood glucose in people with type 1 diabetes , 2015, 2015 European Control Conference (ECC).

[15]  Luigi del Re,et al.  Estimating Interval Process Models for Type 1 Diabetes for Robust Control Design , 2011 .

[16]  Eyal Dassau,et al.  Modeling the Effects of Subcutaneous Insulin Administration and Carbohydrate Consumption on Blood Glucose , 2010, Journal of diabetes science and technology.