Schellenberger W, Eschrich K, Hofmann E
Biomed Biochim Acta. 1985;44(6):891-901.
The dynamics of the fructose 6-phosphate/fructose 1,6-bisphosphate cycle was investigated in an open and homogeneous system reconstituted from purified enzymes. In addition to phosphofructokinase and fructose 1,6-bisphosphatase, pyruvate kinase, adenylate kinase and glucose 6-phosphate isomerases are involved. The time evolution of the metabolite concentrations is governed by a set of differential equations which take into account flow processes and enzymic conversions of metabolites. Depending on the experimental parameters stable attractors, multiple states and sustained oscillations occur. The main source of the nonlinear dynamics is the reciprocal effect of AMP on the activities of phosphofructokinase and fructose 1,6-bisphosphatase. States are characterized by the net flow rates of substrates and by the rate of futile substrate cycling. For efficient glycolytic states high ratios between the influx rates of fructose 6-phosphate and fructose 1,6-bisphosphate and between the maximum activities of phosphofructokinase and fructose 1,6-bisphosphatase must be maintained, while for an efficient gluconeogenic mode the reverse must hold. Fructose 2,6-bisphosphate exerts reciprocal effects on the activities of phosphofructokinase and fructose 1,6-bisphosphatase. In dependence on the experimental conditions fructose 2,6-bisphosphate was found either to generate or to extinguish oscillations.
在由纯化酶重构的开放且均匀的系统中,研究了磷酸果糖6-磷酸/磷酸果糖1,6-二磷酸循环的动力学。除了磷酸果糖激酶和磷酸果糖1,6-二磷酸酶外,还涉及丙酮酸激酶、腺苷酸激酶和葡萄糖6-磷酸异构酶。代谢物浓度的时间演变由一组考虑了代谢物流过程和酶促转化的微分方程控制。根据实验参数,会出现稳定吸引子、多状态和持续振荡。非线性动力学的主要来源是AMP对磷酸果糖激酶和磷酸果糖1,6-二磷酸酶活性的相互作用。状态由底物的净流速和无效底物循环速率来表征。对于高效糖酵解状态,必须维持磷酸果糖6-磷酸和磷酸果糖1,6-二磷酸的流入速率之间以及磷酸果糖激酶和磷酸果糖1,6-二磷酸酶的最大活性之间的高比率,而对于高效糖异生模式则相反。果糖2,6-二磷酸对磷酸果糖激酶和磷酸果糖1,6-二磷酸酶的活性有相互作用。根据实验条件,发现果糖2,6-二磷酸要么产生振荡,要么消除振荡。