Data-Based Identification of Prediction Models for Glucose

Diabetes mellitus is a disease that affects to hundreds of million of people worldwide. Maintaining a good control of the disease is critical to avoid severe long-term complications. One of the main problems that arise in the (semi) automatic control of diabetes, is to get a model explaining how glucose levels in blood vary with insulin, food intakes and other factors, fitting the characteristics of each individual or patient. In this paper we compare genetic programming techniques with a set of classical identification techniques: classical simple exponential smoothing, Holt's smoothing (linear, exponential and damped), classical Holt and Winters methods and auto regressive integrated moving average modeling. We consider predictions horizons of 30, 60, 90 and 120 minutes. Experimental results shows the difficulty of predicting glucose values for more than 60 minutes and the necessity of adapt GP techniques for those dynamic environments.

[1]  José Ignacio Hidalgo,et al.  glUCModel: A monitoring and modeling system for chronic diseases applied to diabetes , 2014, J. Biomed. Informatics.

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

[3]  W. Kilmer A Friendly Guide To Wavelets , 1998, Proceedings of the IEEE.

[4]  L. Magni,et al.  Diabetes: Models, Signals, and Control , 2010, IEEE Reviews in Biomedical Engineering.

[5]  C. C. Palerm,et al.  Effect of input excitation on the quality of empirical dynamic models for type 1 diabetes , 2009 .

[6]  V. Basevi Standards of Medical Care in Diabetes—2010 , 2010, Diabetes Care.

[7]  Y. Jang,et al.  Standards of Medical Care in Diabetes-2010 by the American Diabetes Association: Prevention and Management of Cardiovascular Disease , 2010 .

[8]  Michel Gevers,et al.  Identification for Control: From the Early Achievements to the Revival of Experiment Design , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[9]  Stephan Kolassa Two Notable New Forecasting Texts: Principles of Business Forecasting by Keith Ord & Robert Fildes Forecasting: Principles and Practice by Rob Hyndman & George Athanasopoulos , 2012 .

[10]  Stephan M. Winkler,et al.  Architecture and Design of the HeuristicLab Optimization Environment , 2014 .

[11]  Yinghui Lu,et al.  Universal Glucose Models for Predicting Subcutaneous Glucose Concentration in Humans , 2010, IEEE Transactions on Information Technology in Biomedicine.

[12]  George Athanasopoulos,et al.  Forecasting: principles and practice , 2013 .

[13]  John R. Koza,et al.  Genetic programming - on the programming of computers by means of natural selection , 1993, Complex adaptive systems.

[14]  José Ignacio Hidalgo,et al.  Clarke and parkes error grid analysis of diabetic glucose models obtained with evolutionary computation , 2014, GECCO.

[15]  Stephan M. Winkler,et al.  Genetic Algorithms and Genetic Programming - Modern Concepts and Practical Applications , 2009 .