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A computational model of the human glucose-insulin regulatory system

The Journal of Biomedical Research 2010年第5期24卷 347-364页

作者： Keh-Dong Shiang Fouad Kandeel Division of Biostatistics Department of Information SciencesCity of Hope National Medical Center Division of Hematopoietic Stem Cell and Leukemia Research City of Hope National Medical Center Division of Diabetes Endocrinology and MetabolismCity of Hope National Medical Center

Objective：A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is *** proposed method for the estimation of parameters for a system of ordinary differential equations（ODEs）that represent the time course of plasma glucose and insulin concentrations during glucose tolerance test（GTT）in physiological studies is *** aim of this study was to explore how to interpret those laboratory glucose and insulin data as well as enhance the Ackerman mathematical ***：parameters estimation for a system of ODEs was performed by minimizing the sum of squared residuals（SSR）function,which quantifies the difference between theoretical model predictions and GTT＇s experimental *** proposed perturbation search and multiple-shooting methods were applied during the estimating ***：Based on the Ackerman＇s published data,we estimated the key parameters by applying R-based iterative computer *** a result,the theoretically simulated curves perfectly matched the experimental data *** model showed that the estimated parameters,computed frequency and period values,were proven a good indicator of ***：The present paper introduces a computational algorithm to biomedical problems,particularly to endocrinology and metabolism fields,which involves two coupled differential equations with four parameters describing the glucose-insulin regulatory system that Ackerman proposed *** enhanced approach may provide clinicians in endocrinology and metabolism field insight into the transition nature of human metabolic mechanism from normal to impaired glucose tolerance.

关键词： coupled ordinary differential equations glucose tolerance test parameters estimation sum of squared residuals cost function multiple shooting method

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