A computational model of the human glucose-insulin regulatory system.
A computational model of the human glucose-insulin regulatory system.
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DOI：
10.1016/s1674-8301(10)60048-6
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发表时间：
2010-09
影响因子：
2.3
通讯作者：
Kandeel F
中科院分区：
文献类型：
--
作者：
Shiang KD;Kandeel F
介绍了一种用于辅助糖尿病临床诊断的胰岛素分泌和糖代谢计算模型。提出了一种用于估计生理学研究中葡萄糖耐量试验（GTT）期间血浆葡萄糖和胰岛素浓度随时间变化的常微分方程（ODE）系统参数的方法。本研究的目的是探讨如何解释这些实验室葡萄糖和胰岛素数据以及增强阿克曼数学模型。常微分方程系统的参数估计是通过最小化残差平方和（SSR）函数来进行的，该函数量化了理论模型预测与GTT实验观测之间的差异。我们提出的扰动搜索和多重射击方法应用在估计过程中。基于阿克曼发表的数据，我们估计的关键参数，应用R-为基础的迭代计算机程序。因此，理论模拟曲线与实验数据点完全匹配。我们的模型表明，估计的参数，计算的频率和周期值，被证明是糖尿病的一个很好的指标。本文介绍了一种用于生物医学问题，特别是内分泌和代谢领域的计算算法，它涉及到描述阿克曼早先提出的葡萄糖-胰岛素调节系统的两个四参数耦合微分方程。这种增强的方法可以为内分泌和代谢领域的临床医生提供对人类代谢机制从正常到糖耐量受损的过渡性质的洞察。
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 mathematical model. 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. Based on the Ackerman's published data, we estimated the key parameters 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. 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 earlier. The 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.