关于代谢循环的稳定性
On the Stability of Metabolic Cycles
摘要：
我们结合分析和计算方法研究了两种不同类型代谢循环的稳定性。利用结构动力学模型（SKM）的原理，我们证明了具有一定结构的代谢网络的稳定性可以使用分析和计算技术相结合来研究。然后，我们将这些技术应用到一类单输入，单输出的代谢循环，并发现在所有测试条件下的循环是稳定的。接下来，我们将我们的分析扩展到一个小的自催化循环，并确定参数制度内的循环很可能是稳定的。我们表明，分析方法可以用来了解动力学参数和稳定性之间的关系，这些分析方法的结果可以与计算实验证实。此外，我们的研究结果表明，代谢物浓度升高和某些关键的饱和参数可以强烈影响整个代谢循环的稳定性。我们讨论了我们的结果，进化力量可能会选择代谢网络拓扑结构具有很高的内在概率是稳定的。此外，我们的结论支持的假设，某些类型的代谢周期可能发挥了作用，在发展中的原始代谢，尽管缺乏监管机制。
英文摘要：
We investigate the stability properties of two different classes of metabolic cycles using a combination of analytical and computational methods. Using principles from structural kinetic modeling (SKM), we show that the stability of metabolic networks with certain structural regularities can be studied using a combination of analytical and computational techniques. We then apply these techniques to a class of single input, single output metabolic cycles, and find that the cycles are stable under all conditions tested. Next, we extend our analysis to a small autocatalytic cycle, and determine parameter regimes within which the cycle is very likely to be stable. We demonstrate that analytical methods can be used to understand the relationship between kinetic parameters and stability, and that results from these analytical methods can be confirmed with computational experiments. In addition, our results suggest that elevated metabolite concentrations and certain crucial saturation parameters can strongly affect the stability of the entire metabolic cycle. We discuss our results in light of the possibility that evolutionary forces may select for metabolic network topologies with a high intrinsic probability of being stable. Furthermore, our conclusions support the hypothesis that certain types of metabolic cycles may have played a role in the development of primitive metabolism despite the absence of regulatory mechanisms.
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