| 计算代数在不稳定酶动力系统分析中的应用 |
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| 引用本文： | 吴素平,孙永利,于建平,宗凯.计算代数在不稳定酶动力系统分析中的应用[J].北京化工大学学报(自然科学版),2015,42(5):117. |
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| 作者姓名： | 吴素平 孙永利 于建平 宗凯 |
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| 作者单位： | 北京化工大学理学院,北京,100029;北京科技大学应用数学系,北京,100083 |
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| 基金项目： | 国家自然科学基金;中央高校基本科研业务费专项 |
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| 摘 要： | 对最简单的不稳定酶动力系统进行动力学分析,并给出了酶动力系统的数学模型-常微分方程组。在初始酶浓度远远大于底物浓度的假设下,利用计算代数理论,求出了数学模型的符号解,最后通过例子来证明本文所用方法的准确性和有效性。
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| 关 键 词： | 不稳定酶动力系统 动力学分析 计算机代数 Maple 线性系统 |
| 收稿时间： | 2015-03-05 |
The application of computational algebra in the analysis of unstable enzyme kinetics systems |
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| WU SuPing,SUN YongLi,YU JianPing,ZONG Kai.The application of computational algebra in the analysis of unstable enzyme kinetics systems[J].Journal of Beijing University of Chemical Technology,2015,42(5):117. |
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| Authors: | WU SuPing SUN YongLi YU JianPing ZONG Kai |
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| Institution: | 1.School of Science, Beijing University of Chemical Technology, Beijing 100029; 2.Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | In this paper, we study the kinetic analysis of unstable enzymatic systems, and present a mathematical model-involving system of ordinary differential equations. Under the assumption that the initial enzyme concentration is far greater than the initial substrate concentration, using the theories of computer algebra, we obtain the analytical solutions of the mathematical model. Finally, some examples are given to illustrate the validity and efficiency of the method developed in this paper. |
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