Towards Neural Network Model for Insulin/Glucose in Diabetics-II

In this work we extending our investigations for a general neural network model that resembles the interactions between glucose concentration levels and amount of insulin injected in the bodies of diabetics. We use real data for 70 different patients of diabetics and build on it our model. Two types of neural networks (NN’s) are experimented in building that model; the first type is called the LevenbergMarquardt (LM) training algorithm of multilayer feed forward neural network (NN), the other one is based on Polynomial Network (PN’s). We do comparisons between the two models based on their performance. The design stages mainly consist of training, testing, and validation. A linear regression between the output of the multi-layer feed forward neural network trained by LM algorithm (abbreviated by LM NN) and the actual outputs shows that the LM NN is a better model. The PN’s have proved to be good static “mappers”, but their performance is degraded when used in modelling a dynamical system. The LM NN based model still proved that it can potentially be used to build a theoretical general regulator controller for insulin injections and, hence, can reflect an idea about the types and amounts of insulin required for patients. Povzetek: Na osnovi podatkov o 70 pacientih je razvit nevronski model za razmerna med insulinom in glukozo.

[1]  Claudio Cobelli,et al.  A model of glucose kinetics and their control by insulin, compartmental and noncompartmental approaches , 1984 .

[2]  A M Albisser,et al.  Comparison of parametrized models for computer-based estimation of diabetic patient glucose response. , 1997, Medical informatics = Medecine et informatique.

[3]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[4]  David S. Broomhead,et al.  Multivariable Functional Interpolation and Adaptive Networks , 1988, Complex Syst..

[5]  James L. McClelland,et al.  James L. McClelland, David Rumelhart and the PDP Research Group, Parallel distributed processing: explorations in the microstructure of cognition . Vol. 1. Foundations . Vol. 2. Psychological and biological models . Cambridge MA: M.I.T. Press, 1987. , 1989, Journal of Child Language.

[6]  K. Prank,et al.  Predictive Neural Networks for Learning the Time Course of Blood Glucose Levels from the Complex Interaction of Counterregulatory Hormones , 1998, Neural Computation.

[7]  M.H. Hassoun,et al.  Fundamentals of Artificial Neural Networks , 1996, Proceedings of the IEEE.

[8]  Bart Kosko,et al.  Neural networks for signal processing , 1992 .

[9]  Teuvo Kohonen,et al.  Self-organization and associative memory: 3rd edition , 1989 .

[10]  E D Lehmann,et al.  Retrospective validation of a physiological model of glucose-insulin interaction in type 1 diabetes mellitus. , 1994, Medical engineering & physics.

[11]  D. E. Rumelhart,et al.  chapter Parallel Distributed Processing, Exploration in the Microstructure of Cognition , 1986 .

[12]  C Cobelli,et al.  Effect of insulin on the distribution and disposition of glucose in man. , 1985, The Journal of clinical investigation.

[13]  Clark Jeffries,et al.  Code recognition and set selection with neural networks , 1991, Mathematical modeling.

[14]  E.R. Carson,et al.  A spectrum of approaches for controlling diabetes , 1992, IEEE Control Systems.

[15]  E. Mosekilde,et al.  Computer model for mechanisms underlying ultradian oscillations of insulin and glucose. , 1991, The American journal of physiology.

[16]  E. Carson,et al.  A probabilistic approach to glucose prediction and insulin dose adjustment: description of metabolic model and pilot evaluation study. , 1994, Computer methods and programs in biomedicine.

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

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

[19]  Y. Lee Handwritten digit recognition using k nearest neighbour radial-basis function, and backpropagation , 1991 .

[20]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[21]  J. Fehlauer,et al.  Feature extraction by identification of a parameterized system model , 1981 .