营养物代谢化学的数学模型

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2018-06-05 DOI:10.4236/am.2018.96045

D. Drew

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引用次数: 1

摘要

推导并分析了基于化学动力学的碳水化合物、脂肪和蛋白质的利用率和/或储存率模型。研究了该系统在不同的供应和使用条件下的短期动态和长期动态。短期和长期模型都表明，从高于平衡阈值开始，会导致储存物种的生长。短期和长期子模型的结果表明，定性行为取决于某些酶的水平。酶动力学模型的分析表明，酶的稳态水平应取决于底物的供应速率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Mathematical Model for Nutrient Metabolic Chemistry

A model based on chemical kinetics for the rate of utilization and/or storage of carbohydrates, fats and proteins is derived and analyzed. This system is studied under different conditions of supply and usage and for short term dynamics and long term dynamics. Both the short term and long term models indicate that starting above an equilibrium threshold leads to growth of the stored species. Results from the short-term and long-term submodels show that the qualitative behavior depends on the levels of certain enzymes. The analysis of a model for enzyme dynamics indicates that the steady-state level of an enzyme should depend on the rate of supply of the substrate.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.