乍得环境中葡萄糖稳态的数学模型

Adam Hassan Adoum, M. Haggar, T. Djaokamla, J. Ntaganda
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引用次数: 0

摘要

近几十年来,数学建模已成为科学,特别是生物医学科学的一个关键领域。它允许实验和严格的方法。由于数学建模,葡萄糖-胰岛素系统可以具体化,这也是理论上的,以便分析和解释它,并预测结果。近年来出现了许多葡萄糖-胰岛素系统的数学模型。在文献中,有模型显示了身体活动的作用和数学模型对葡萄糖-胰岛素系统动力学的反应。我们提出了常微分方程的数学模型,以研究在身体活动期间由葡萄糖-胰岛素系统的生理参数动态产生的简单内稳态。模型参数估计采用一般基于逆问题的非线性优化方法。数值模拟结果表明,所提出的模型能够适应乍得采集的数据,并可用于葡萄糖-胰岛素系统的葡萄糖稳态测试。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A MATHEMATICAL MODEL OF GLUCOSE HOMEOSTASIS IN CHAD CONTEXT
During these decades, mathematical modeling has become a key domain in science, especially in biomedical sciences. It allows for an experimental and rigorous approach. Thanks to mathematical modeling, the glucose-insulin system could be materialized, which is also theoretical, in order to analyze and interpret it and to predict the results. Many of the mathematical models of the glucose-insulin system have emerged in recent years. In literature, there are models that show the role of physical activity and response of mathematical model to glucose-insulin system dynamics. We propose the mathematical model of ordinary differential equations to investigate simple homeostasis generated by the dynamics of physiological parameters of the glucose-insulin system during physical activity for a healthy subject. Model parameters are estimated using a nonlinear optimization method generally based on inverse problems. The numerical simulations show that the proposed model is adaptable to the data collected in Chad and can be used to test glucose homeostasis for glucose-insulin system.
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