Prediction of Dynamic Glycemic Trends Using Optimal State Estimation

Abstract Efficacious therapeutic regimens to treat type 1 diabetes mellitus require devices capable of continuous feedback control; recent advances in medical technology mean that such devices are now available. Any closed-loop controller would require a predictive aspect to avoid sluggish control related to delays in insulin action, or hypoglycemia from an overdose of insulin. Using clinical data and an adaptive version of the simple Bergman minimal model (Bergman et al., 1979), glycemic prediction was performed. Model parameters were estimated using clinical data. An augmented state Kalman filter was then used to estimate parameters dynamically. Predictive accuracy varied from subject to subject, with median R2 values for the best validation days of 80% for 30 minute predictions. Such techniques would be useful in a closed-loop control framework for adapting a glycemic controller to subject-based variations in insulin sensitivity.

[1]  D. Cox,et al.  Evaluating the accuracy of continuous glucose-monitoring sensors: continuous glucose-error grid analysis illustrated by TheraSense Freestyle Navigator data. , 2004, Diabetes care.

[2]  Y. Z. Ider,et al.  Quantitative estimation of insulin sensitivity. , 1979, The American journal of physiology.

[3]  Christopher E. Hann,et al.  Integral-based parameter identification for long-term dynamic verification of a glucose-insulin system model , 2005, Comput. Methods Programs Biomed..

[4]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

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

[6]  Howard Zisser,et al.  Practical issues in the identification of empirical models from simulated type 1 diabetes data. , 2007, Diabetes technology & therapeutics.

[7]  Richard N Bergman,et al.  Orchestration of Glucose Homeostasis , 2007, Diabetes.

[8]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[9]  D. Cox,et al.  Evaluating Clinical Accuracy of Systems for Self-Monitoring of Blood Glucose , 1987, Diabetes Care.

[10]  S. Genuth,et al.  The effect of intensive treatment of diabetes on the development and progression of long-term complications in insulin-dependent diabetes mellitus. , 1993, The New England journal of medicine.

[11]  Roman Hovorka Management of diabetes using adaptive control , 2005 .

[12]  R. Hovorka,et al.  Partitioning glucose distribution/transport, disposal, and endogenous production during IVGTT. , 2002, American journal of physiology. Endocrinology and metabolism.

[13]  Yang Kuang,et al.  Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview , 2006 .

[14]  P. G. Fabietti,et al.  Virtual type 1 diabetic patient for feedback control systems , 2006 .

[15]  Malgorzata E. Wilinska,et al.  Roadmap to the artificial pancreas , 2006 .

[16]  J. Gerich,et al.  The importance of tight glycemic control. , 2005, The American journal of medicine.

[17]  Joseph Varon,et al.  A clinician's guide to the appropriate and accurate use of antibiotics: the Council for Appropriate and Rational Antibiotic Therapy (CARAT) criteria. , 2005, The American journal of medicine.

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

[19]  Malgorzata E. Wilinska,et al.  Insulin kinetics in type-1 diabetes: continuous and bolus delivery of rapid acting insulin , 2005, IEEE Transactions on Biomedical Engineering.

[20]  Astrom Computer Controlled Systems , 1990 .