A numerical simulation study of the dependence of insulin sensitivity index on parameters of insulin kinetics

Authors:
Lin Li;Wenxin Zheng
Affiliations:
School of Biomedical Engineering, Capital Medical University, Beijing;School of Biomedical Engineering, Capital Medical University, Beijing
Venue:
ICIC'09 Proceedings of the 5th international conference on Emerging intelligent computing technology and applications
Year:
2009

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Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview

Applied Numerical Mathematics

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Abstract

Objective: To investigate the dependence of insulin sensitivity index (SI) and glucose effectiveness (SG) on the parameters of insulin kinetics in Bergman's minimal model. Methods: The concentration values of glucose and insulin at series of time were computated, where the parameters in the model were generated randomly in a certain range. Based on the optimization method, insulin sensitivity index and glucose effectiveness were estimated. Results: The largest relative error of SI was less than 1.66% and the largest relative error of SG was less than 0.96%, if a data set of 240 points of concentration value was used in computation. However, if there are only 27 points (according to intra venous glucose tolerance test) in the data set, the relative error of SI ranged from 0.45% to 48.1%, and the relative error of SG was less than 5.6%. Conclusion: The dependence of SI and SG upon parameters of insulin kinetics is not significant.