Data driven nonparametric identification and model based control of glucose-insulin process in type 1 diabetics

Abstract Closed loop control of glucose homeostasis via subcutaneous insulin infusion and continuous glucose monitoring system can give better living to a type 1 diabetic patient. This paper deals with the real time implementation of internal model control (IMC) of subcutaneous insulin infusion. The model based control is applied on the nonparametric model of the patient identified in real time from input–output data. Meal simulation model of the glucose-insulin system of type 1 diabetic patient based on the work of Dalla Man et. al. is considered. This model is constructed in hardware platform that acts as the virtual patient. The data-driven nonparametric model of the virtual patient is identified in real time by computing Volterra kernels. The kernels are solved up to second order using recursive least squares (RLS) algorithm with short memory length of M  = 2. The validation results of the identified model output and the actual output have shown good fit in both simulation and real time environments. The frequency domain kernels are used in internal model control to generate insulin dosage. The control algorithm is developed in simulation and implemented in real time with hardware in loop on dSPACE platform. The closed loop system yields good meal disturbance rejection, less undershoots, settling time and more profoundly smaller requirement of insulin infusion as compared to the earlier reported data.

[1]  E. Joslin,et al.  The Treatment of Diabetes Mellitus , 1936, The Indian Medical Gazette.

[2]  Anindita Sengupta,et al.  Nonparametric modeling of glucose-insulin process in IDDM patient using Hammerstein-Wiener model , 2010, 2010 11th International Conference on Control Automation Robotics & Vision.

[3]  Eyal Dassau,et al.  Safety Constraints in an Artificial Pancreatic β Cell: An Implementation of Model Predictive Control with Insulin on Board , 2009, Journal of diabetes science and technology.

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

[5]  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.

[6]  Graham F. Carey,et al.  Frequency Domain Kernel Estimation for 2nd-order Volterra Models Using Random Multi-tone Excitation , 2002, VLSI Design.

[7]  K. Shanmugam,et al.  Identification of Nonlinear Systems in Frequency Domain , 1975, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Anirban Bhattacharjee,et al.  Nonparametric Identification of Glucose-Insulin Process in IDDM Patient with Multi-meal Disturbance , 2012 .

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

[10]  Corina Botoca,et al.  Efficient implementation and performance evaluation of the second order volterra filter based on the MMD approximation , 2008 .

[11]  R S Parker,et al.  The intravenous route to blood glucose control. , 2001, IEEE engineering in medicine and biology magazine : the quarterly magazine of the Engineering in Medicine & Biology Society.

[12]  David T. Westwick,et al.  Identification of nonlinear physiological systems , 2003 .

[13]  A. Jabali,et al.  Prediction of Patient's Individual Blood Glucose Levels from Home Monitored Readings of Type I Diabetics , 2013 .

[14]  Francis J. Doyle,et al.  Robust H∞ glucose control in diabetes using a physiological model , 2000 .

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

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

[17]  E. Lehmann The diabetes control and complications trial (DCCT): a role for computers in patient education? , 1994 .

[18]  Ronald K. Pearson,et al.  Nonlinear model-based control using second-order Volterra models , 1995, Autom..

[19]  Efstratios N. Pistikopoulos,et al.  Model-based blood glucose control for type 1 diabetes via parametric programming , 2006, IEEE Transactions on Biomedical Engineering.

[20]  A. Sutradhar,et al.  Frequency domain hammerstein model of glucose-insulin process in IDDM patient , 2010, 2010 International Conference on Systems in Medicine and Biology.

[21]  Corina Botoca,et al.  Efficient Implementation of the Third Order RLS Adaptive Volterra Filter , 2006 .

[22]  Yun Li,et al.  Nonparametric nonlinear model predictive control , 2004 .

[23]  Anirban Bhattacharjee,et al.  Online Frequency Domain Volterra Model of Glucose- Insulin Process in Type-1 Diabetics , 2014 .

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