衰减速率均匀性决定抑制性反馈调控网络振荡的成功
Degradation rate uniformity determines success of oscillations in repressive feedback regulatory networks
摘要：
环形振荡器是由能够持续振荡的相互作用环组成的生化电路。基因之间的非线性相互作用阻碍了对其功能的分析洞察，通常需要计算探索。在这里，我们表明，尽管明显的复杂性，在一个不相干的反馈环的唯一的稳态的稳定性仅取决于退化率和一个单一的参数总结的反馈电路。具体地说，我们表明，产生振荡行为的监管参数的范围内，最大化时的降解速率是相等的。引人注目的是，这一结果独立于所使用的调控功能或基因数量。我们还推导出作为退化率和形成环的节点数的函数的振荡的性质。最后，我们通过将一般结果应用于具有两个自然不同降解时间尺度的特定情况，来探索mRNA动力学的作用
英文摘要：
Ring oscillators are biochemical circuits consisting of a ring of interactions capable of sustained oscillations. The non-linear interactions between genes hinder the analytical insight into their function, usually requiring computational exploration. Here we show that, despite the apparent complexity, the stability of the unique steady state in an incoherent feedback ring depends only on the degradation rates and a single parameter summarizing the feedback of the circuit. Concretely, we show that the range of regulatory parameters that yield oscillatory behaviour, is maximized when the degradation rates are equal. Strikingly, this results holds independently of the regulatory functions used or number of genes. We also derive properties of the oscillations as a function of the degradation rates and number of nodes forming the ring. Finally, we explore the role of mRNA dynamics by applying the generic results to the specific case with two naturally different degradation time scales
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