Schellenberger W, Eschrich K, Hofmann E
Acta Biol Med Ger. 1978;37(9):1425-41.
The dynamic properties of a series of in vitro reaction systems with increasing complexity and containing phosphofructokinase as central enzyme have been investigated. An experimental strategy and a principal mathematical treatment was elaborated to search for the minimum requirements with respect to the enzyme composition of a reaction system for generating limit cycle behaviour. As a criterion, such models have been developed which permit experimental realization by application of a specially designed flow-through equipment. In addition to phosphofructokinase, the following enzymes have been stepwise included into the reaction systems composing the Models 1 through 6: pyruvate kinase, adenylate kinase, hexokinase, and glucose 6-phosphate isomerase. It turned out that only a minimum dynamic system containing phosphofructokinase and pyruvate kinase as well as excesses of adenylate kinase and glucose 6-phosphate isomerase for maintaining equilibrium conditions between the respective reacting species, acquires the property of limit cycle behaviour and, hence, to generate sustained self-oscillations. The approach permits to compute the region of the experimentally variable parameters (influx rates of fructose 6-phosphate and ATP, maximum rate of pyruvate kianse) for which self-oscillatory behaviour can be predicted.
对一系列体外反应系统的动力学特性进行了研究，这些系统越来越复杂，且都含有磷酸果糖激酶作为核心酶。精心制定了一种实验策略和主要的数学处理方法，以探寻反应系统酶组成方面的最低要求，从而产生极限环行为。作为一个标准，已开发出这样的模型，通过应用专门设计的流通设备可实现实验验证。除了磷酸果糖激酶外，以下几种酶已逐步纳入构成模型1至6的反应系统中：丙酮酸激酶、腺苷酸激酶、己糖激酶和葡萄糖6-磷酸异构酶。结果表明，只有一个包含磷酸果糖激酶和丙酮酸激酶以及过量腺苷酸激酶和葡萄糖6-磷酸异构酶以维持各反应物种之间平衡条件的最小动态系统，才具有极限环行为的特性，从而产生持续的自振荡。该方法能够计算出实验可变参数（6-磷酸果糖和ATP的流入速率、丙酮酸激酶的最大速率）的范围，据此可以预测自振荡行为。
