Closed form solution for time-dependent enzyme kinetics
Closed form solution for time-dependent enzyme kinetics
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DOI：
10.1006/jtbi.1997.0425
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发表时间：
1997-07-21
影响因子：
2
通讯作者：
Mendoza, C
中科院分区：
文献类型：
--
作者：
Schnell, S;Mendoza, C
基于准稳态近似，首次报道了碱性酶-底物反应中反应物浓度总时间演化的封闭解。这样的解是用函数的形式给出的，它满足超越方程W(x)exp(W(x)) = x，并能生成相应的时间导数，从而充分表征系统。它与奇异摄动过程的内（快区）和外（慢区）解的结果吻合得很好，但本形式的一个优点是，它能解析地表示摄动方法不准确的跃迁。(C) 1997学术出版社有限公司
Based on the quasi-steady-state approximation, a closed form solution for the total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is reported for the first time. Such a solution is given in terms of the omega function, which satisfies the transcendental equation W(x)exp(W(x)) = x, and enables the generation of the corresponding time derivatives thus fully characterizing the system. The agreement with results obtained from both the inner (fast region) and outer (slow region) solutions of singular perturbation procedures is very good, but an advantage of the present formalism is the analytic representation of the transition where the perturbation methods are shown to be inaccurate. (C) 1997 Academic Press Limited.