A simple method for derivation of rate equations for enzyme-catalyzed reactions under the rapid equilibrium assumption or combined assumptions of equilibrium and steady state.
A simple method for derivation of rate equations for enzyme-catalyzed reactions under the rapid equilibrium assumption or combined assumptions of equilibrium and steady state.
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一种在快速平衡假设或平衡与稳态组合假设下推导酶催化反应速率方程的简单方法。
DOI：
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发表时间：
1968
影响因子：
4.8
通讯作者：
S. Cha
中科院分区：
文献类型：
--
作者：
S. Cha
本文描述了一种在平衡假设下，无需用常规方法求解联立方程组即可通过考察反应路径推导出酶反应速率方程的方法。还描述了一种将上述技术与King和Altman方法相结合的简单图解法。用后一种方法，对于某些步骤比其他步骤快得多的复杂的酶反应机制，可以用最小的工作量推导出速率方程，从而使通过这些快速步骤连接的酶物种可能处于接近平衡的状态，而整个反应处于稳定状态。为了说明这一点，我们推导了可逆单底物-单调节剂体系的速率方程、局部平衡乒乓比比机理、两底物体系的一般机理和复杂的三底物机理。
Abstract A method is described by which rate equations for enzymic reactions under the equilibrium assumptions may be derived by inspecting the reaction pathways without solving simultaneous equations in the conventional way. Also described is a simple graphic method which combines the above technique with King and Altman's method. By the latter method, rate equations may be derived with minimal effort for complicated enzymic mechanisms in which some steps are considerably faster than the rest so that the enzymic species connected by those rapid steps may be at a near equilibrium while the over-all reaction is in a steady state. Rate equations are derived, for the purpose of illustration, for the reversible single substrate-single modifier system, the partial equilibrium ping-pong bi-bi mechanism, the general mechanism for two-substrate system, and a complicated three-substrate mechanism.