Frenzen C L, Maini P K
Department of Mathematics, Southern Methodist University, Dallas, TX 75275.
J Math Biol. 1988;26(6):689-703. doi: 10.1007/BF00276148.
We extend the validity of the quasi-steady state assumption for a model double intermediate enzyme-substrate reaction to include the case where the ratio of initial enzyme to substrate concentration is not necessarily small. Simple analytical solutions are obtained when the reaction rates and the initial substrate concentration satisfy a certain condition. These analytical solutions compare favourably with numerical solutions of the full system of differential equations describing the reaction. Experimental methods are suggested which might permit the application of the quasi-steady state assumption to reactions where it may not have been obviously applicable before.
我们将模型双中间酶 - 底物反应的准稳态假设的有效性进行扩展，以涵盖初始酶与底物浓度之比不一定很小的情况。当反应速率和初始底物浓度满足一定条件时，可得到简单的解析解。这些解析解与描述该反应的微分方程完整系统的数值解相比具有优势。文中还提出了一些实验方法，这些方法可能使准稳态假设适用于之前可能未明显适用的反应。
