Giraldo Jesús, Roche David, Rovira Xavier, Serra Juan
Grup Biomatemàtic de Recerca, Institut de Neurociències and Unitat de Bioestadística, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain.
FEBS Lett. 2006 Apr 17;580(9):2170-7. doi: 10.1016/j.febslet.2006.03.060. Epub 2006 Mar 30.
The mechanism by which enzymes produce enormous rate enhancements in the reactions they catalyze remains unknown. Two viewpoints, selection of ground state conformations and stabilization of the transition state, are present in the literature in apparent opposition. To provide more insight into current discussion about enzyme efficiency, a two-state model of enzyme catalysis was developed. The model was designed to include both the pre-chemical (ground state conformations) and the chemical (transition state) components of the process for the substrate both in water and in the enzyme. Although the model is of general applicability, the chorismate to prephenate reaction catalyzed by chorismate mutase was chosen for illustrative purposes. The resulting kinetic equations show that the catalytic power of enzymes, quantified as the k(cat)/k(uncat) ratio, is the product of two terms: one including the equilibrium constants for the substrate conformational states and the other including the rate constants for the uncatalyzed and catalyzed chemical reactions. The model shows that these components are not mutually exclusive and can be simultaneously present in an enzymic system, being their relative contribution a property of the enzyme. The developed mathematical expressions reveal that the conformational and reaction components of the process perform differently for the translation of molecular efficiency (changes in energy levels) into observed enzymic efficiency (changes in k(cat)), being, in general, more productive the component involving the transition state.
酶在其所催化的反应中大幅提高反应速率的机制仍然未知。文献中存在两种明显对立的观点,即基态构象的选择和过渡态的稳定。为了更深入了解当前关于酶效率的讨论,我们构建了一个酶催化的双态模型。该模型旨在同时涵盖底物在水中和酶中的过程的化学前(基态构象)和化学(过渡态)成分。尽管该模型具有普遍适用性,但为了说明目的,我们选择了由分支酸变位酶催化的分支酸向预苯酸的反应。所得的动力学方程表明,酶的催化能力(以k(cat)/k(uncat)比值量化)是两个项的乘积:一个项包括底物构象状态的平衡常数,另一个项包括未催化和催化化学反应的速率常数。该模型表明,这些成分并非相互排斥,而是可以同时存在于酶系统中,它们的相对贡献是酶的一种特性。所推导的数学表达式表明,该过程的构象和反应成分在将分子效率(能级变化)转化为观察到的酶效率(k(cat)变化)方面表现不同,一般来说,涉及过渡态的成分更具成效。