Schnell S, Mendoza C
Centre for Mathematical Biology, Mathematical Institute, Oxford, U.K.
Bull Math Biol. 2000 Mar;62(2):321-36. doi: 10.1006/bulm.1999.0156.
An analytic formalism developed earlier to describe the time evolution of the basic enzyme reaction is extended to fully competitive systems. Time-dependent closed form solutions are derived for the three nominal cases of competition: even, slow and fast inhibitors, allowing for the first time the complete characterization of the reactions. In agreement with previous work, the time-independent Michaelis-Menten approach is shown to be inaccurate when a fast inhibitor is present. The validity of the quasi-steady-state approximation on which the present framework is based is also revised.
先前开发的用于描述基本酶反应时间演化的分析形式主义被扩展到完全竞争系统。针对三种典型竞争情况（即均匀、慢速和快速抑制剂）推导了随时间变化的封闭形式解，首次实现了对反应的完整表征。与先前的工作一致，当存在快速抑制剂时，与时间无关的米氏方法被证明是不准确的。还对本框架所基于的准稳态近似的有效性进行了修正。
