文章摘要
Keh-Dong Shiang,Fouad Kandeel.[J].南京医科大学学报,2010,(5):347~364
A computational model of the human glucose-insulin regulatory system
投稿时间:2010-08-03  
DOI:10.7655
中文关键词: 
英文关键词: Coupled ordinary differential equations, glucose tolerance test, parameters estimation, sum of squared residuals, cost function, multiple shooting method
基金项目:
作者单位
Keh-Dong Shiang Division of Biostatistics, Department of Information Sciences, City of Hope National Medical Center, Duarte, CA 91010-3000, USA/Division of Hematopoietic Stem Cell and Leukemia Research, City of Hope National Medical Center, Duarte, CA 91010-3000, USA 
Fouad Kandeel Division of Diabetes, Endocrinology and Metabolism, City of Hope National Medical Center, Duarte, CA 91010-3000, USA 
摘要点击次数: 999
全文下载次数: 62
中文摘要:
      
英文摘要:
      Objective: A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The 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 presented. The aim of this study was to explore how to interpret those laboratory glucose and insulin data as well as enhance the Ackerman math-ematical model. Methods: 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 observations. Our proposed perturbation search and multiple-shooting methods were applied during the estimating process. Results: Based on the Ackerman's published data, we estimated the key param-eters by applying R-based iterative computer programs. As a result, the theoretically simulated curves perfectly matched the experimental data points. Our model showed that the estimated parameters, computed frequency and period values, were proven a good indicator of diabetes. Conclusion: 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 Acker-man proposed earlier. The enhanced approach may provide clinicians in endocrinology and metabolism field in-sight into the transition nature of human metabolic mechanism from normal to impaired glucose tolerance.
查看全文   查看/发表评论  下载PDF阅读器