Berding C, Harbich T
Biol Cybern. 1984;49(3):209-19. doi: 10.1007/BF00334467.
The quantitative dynamics of a biochemical control circuit that regulates enzyme or protein synthesis by end-product feedback is analyzed. We first study a simplified repressible system, which is known to exhibit either a steady state or an oscillatory solution. By showing the analogy of this n-dimensional system with a time-delay equation for a single variable the mechanism of the self-sustained oscillations becomes transparent. In a more sophisticated system we will find as well either steady state or oscillatory solutions. We determine the role of the parameters with respect to stability and frequency. The most general case will be treated by means of the concept of Lyapunov exponents.
分析了通过终产物反馈调节酶或蛋白质合成的生化控制回路的定量动力学。我们首先研究一个简化的可抑制系统，已知该系统表现出稳态或振荡解。通过展示这个n维系统与单个变量的时滞方程的类比，自持振荡的机制变得清晰。在一个更复杂的系统中，我们也会找到稳态或振荡解。我们确定参数在稳定性和频率方面的作用。最一般的情况将通过李雅普诺夫指数的概念来处理。
