ANALYSIS OF THE QUASI-STEADY-STATE APPROXIMATION FOR AN ENZYMATIC ONE-SUBSTRATE REACTION
ANALYSIS OF THE QUASI-STEADY-STATE APPROXIMATION FOR AN ENZYMATIC ONE-SUBSTRATE REACTION
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DOI：
10.1016/0022-5193(79)90235-2
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发表时间：
1979-01-01
影响因子：
2
通讯作者：
HEINRICH, R
中科院分区：
文献类型：
--
作者：
SCHAUER, M;HEINRICH, R
通过详细考虑时间相关过程，分析了用于计算孤立酶反应速率函数的准稳态近似的有效性。为了表征实际运动与准静止状态的偏差，使用了 3 种误差函数：弛豫赤字、相对弛豫时间和弛豫误差。开发了一种改进的近似程序来计算系统的瞬态状态。原始运动距准静止状态的最大距离是通过通用方法估计的。通过考虑不同的酶和底物浓度以及不同的动力学常数，确定了这些参数区域，其中准稳态近似的误差不超过容许值。该方法可应用于代谢途径。
The validity of the quasi-steady state approximation for the calculation of the rate function of an isolated enzyme reaction is analyzed by a detailed consideration of the time dependent process. For the characterization of the deviations of the real motion from the quasi-stationary state, 3 kinds of error functions are used: the relaxation deficit, the relative relaxation time and the relaxation error. An improved approximation procedure is developed to calculate the transient states of the system. The maximum distance of the original motion from the quasi-stationary states is estimated by a general method. By consideration of different enzyme and substrate concentrations as well as different kinetic constants those parameter regions were determined, where the errors of the quasi-steady state approximation do not exceed tolerated values. The methods can be applied to metabolic pathways.