Nazarenko V G, Reich J G
Biomed Biochim Acta. 1984;43(6):821-8.
A simple mathematical model of an open metabolic system is constructed in which the metabolism of a substrate is enhanced by induction of the catalyzing enzyme. It is demonstrated that the steady-state in such a system may be approached by damped oscillations of substrate and enzyme levels. If the input rate of substrate into the system has periodic fluctuations, the phenomenon of resonance is observed. Numerical analysis reveals the non-linear character of the resonance.
构建了一个开放代谢系统的简单数学模型,其中底物的代谢通过催化酶的诱导而增强。结果表明,这样一个系统中的稳态可以通过底物和酶水平的阻尼振荡来达到。如果底物进入系统的输入速率有周期性波动,就会观察到共振现象。数值分析揭示了共振的非线性特征。