Popova S V, Sel'kov E E
Mol Biol (Mosk). 1978 Sep-Oct;12(5):1139-51.
A mathematical model has been derived and analysed describing the relationship between the rate of an enzymic reaction S1 E(R,T)A in equilibrium S2 and concentrations of substrates S1 and S2 and their analogue A capable of reversible binding to active sites of an olygomeric enzyme E(R, T). The conditions have been presented for the model to describe various types of kinetic curves, sygmoidal, curves with extremuma and intermediate plateau. The regions of parameter values have been estimated within which isosteric product activation can be observed in reactions S1 in equilibrium E(R,T) S2 and S1 E(R,T) in equilibrium S2. Two phenomena registered in experiments with olygomeric enzymes have been interpreted in the model terms, namely, the undirectional influence of isosteric and allosteric effectors on the rates of forward and reverse reactions and occurence of a reversible enzymic reaction in thermodynamically unfavourable direction. The results presented are shown to be valid for multisubstrate reactions catalysed by olygomeric enzyme E(R, T).
已经推导并分析了一个数学模型,该模型描述了处于平衡状态S2的酶促反应S1 E(R,T)A中,底物S1和S2的浓度以及能够与寡聚酶E(R, T)的活性位点可逆结合的类似物A之间的关系。给出了该模型描述各种类型动力学曲线(S形曲线、具有极值的曲线和中间平台曲线)的条件。估计了参数值的范围,在该范围内,在处于平衡状态E(R,T) S2的反应S1以及处于平衡状态S2的S1 E(R,T)中,可以观察到等构产物激活。该模型对在寡聚酶实验中记录的两种现象进行了解释,即等构效应剂和别构效应剂对正向和逆向反应速率的单向影响,以及在热力学不利方向上发生可逆酶促反应。结果表明,所呈现的结果对于寡聚酶E(R, T)催化的多底物反应是有效的。