Ninio J
Proc Natl Acad Sci U S A. 1987 Feb;84(3):663-7. doi: 10.1073/pnas.84.3.663.
An alternative method for deriving rate equations in enzyme kinetics is presented. An enzyme is followed as it moves along the various pathways allowed by the reaction scheme. The times spent in various sections of the scheme and the pathway probabilities are computed, using simple rules. The rate equation obtains as a function of times and probabilities. The results are equivalent to those provided by the steady-state formalism. While the latter applies uniformly to all schemes, the formalism presented here requires adaptation to each additional class of schemes. However, it has the merit of allowing one to leave unspecified many details of the scheme, including topological ones. Furthermore, it allows one to decompose a scheme into subschemes, analyze the parts separately, and use the intermediate results to derive the rate equation of the complete scheme. The method is applied here to derive general equations for one- and two-entry site enzymes.
本文提出了一种推导酶动力学速率方程的替代方法。当酶沿着反应方案所允许的各种途径移动时，对其进行跟踪。使用简单规则计算在反应方案各部分所花费的时间以及途径概率。速率方程作为时间和概率的函数得出。结果与稳态形式主义所提供的结果等效。虽然后者统一适用于所有方案，但这里提出的形式主义需要针对每一类额外的方案进行调整。然而，它具有允许人们不明确方案的许多细节（包括拓扑细节）的优点。此外，它允许人们将一个方案分解为子方案，分别分析各部分，并使用中间结果来推导完整方案的速率方程。本文应用该方法推导了单入口位点酶和双入口位点酶的通用方程。
