Universal Glucose Models for Predicting Subcutaneous Glucose Concentration in Humans

This paper tests the hypothesis that a ¿universal,¿ data-driven model can be developed based on glucose data from one diabetic subject, and subsequently applied to predict subcutaneous glucose concentrations of other subjects, even of those with different types of diabetes. We employed three separate studies, each utilizing a different continuous glucose monitoring (CGM) device, to verify the model's universality. Two out of the three studies involved subjects with type 1 diabetes and the other one with type 2 diabetes. We first filtered the subcutaneous glucose concentration data by imposing constraints on their rate of change. Then, using the filtered data, we developed data-driven autoregressive models of order 30, and used them to make short-term, 30-min-ahead glucose-concentration predictions. We used same-subject model predictions as a reference for comparisons against cross-subject and cross-study model predictions, which were evaluated using the root-mean-squared error (RMSE) and Clarke error grid analysis (EGA). We found that, for each studied subject, the average cross-subject and cross-study RMSEs of the predictions were small and indistinguishable from those obtained with the same-subject models. These observations were corroborated by EGA, where better than 99.0% of the paired sensor-predicted glucose concentrations lay in the clinically acceptable zone A. In addition, the predictive capability of the models was found not to be affected by diabetes type, subject age, CGM device, and interindividual differences. We conclude that it is feasible to develop universal glucose models that allow for clinical use of predictive algorithms and CGM devices for proactive therapy of diabetic patients.

[1]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[2]  D. Klonoff Continuous glucose monitoring: roadmap for 21st century diabetes therapy. , 2005, Diabetes care.

[3]  P. A. Blight The Analysis of Time Series: An Introduction , 1991 .

[4]  Marc D Breton,et al.  Optimum Subcutaneous Glucose Sampling and Fourier Analysis of Continuous Glucose Monitors , 2008, Journal of diabetes science and technology.

[5]  D. Gough,et al.  Blood glucose dynamics. , 2008, Diabetes technology & therapeutics.

[6]  Ian T. Jolliffe,et al.  Principal Component Analysis , 2002, International Encyclopedia of Statistical Science.

[7]  Srinivasan Rajaraman,et al.  Predicting Subcutaneous Glucose Concentration in Humans: Data-Driven Glucose Modeling , 2009, IEEE Transactions on Biomedical Engineering.

[8]  Giovanni Sparacino,et al.  Glucose Concentration can be Predicted Ahead in Time From Continuous Glucose Monitoring Sensor Time-Series , 2007, IEEE Transactions on Biomedical Engineering.

[9]  William L Clarke,et al.  Quantifying temporal glucose variability in diabetes via continuous glucose monitoring: mathematical methods and clinical application. , 2005, Diabetes technology & therapeutics.

[10]  Srinivasan Rajaraman,et al.  Predictive Monitoring for Improved Management of Glucose Levels , 2007, Journal of diabetes science and technology.

[11]  D. Gough,et al.  Is blood glucose predictable from previous values? A solicitation for data. , 1999, Diabetes.

[12]  W. Clarke The original Clarke Error Grid Analysis (EGA). , 2005, Diabetes technology & therapeutics.

[13]  Steve A. Kay,et al.  Circadian rhythm genetics: from flies to mice to humans , 2000, Nature Genetics.

[14]  Peter Butler,et al.  Pulsatile insulin secretion: detection, regulation, and role in diabetes. , 2002, Diabetes.

[15]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[16]  David A. Gough,et al.  Frequency Characterization of Blood Glucose Dynamics , 2004, Annals of Biomedical Engineering.

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