优化噪声诱导遗传振子的周期性和多峰性
Optimizing periodicity and polymodality in noise-induced genetic oscillators
摘要：
许多细胞功能都是基于生物过程的节律性组织，这些生物过程是自我重复的事件级联。其中一些周期性过程，如几个物种的细胞周期，表现出明显的不规则性的形式周期跳跃，这导致多峰分布的周期长度。最近提出的一种机制，占这种量子化的行为是稳定的霍普夫不稳定状态的分子噪声。在这里，我们研究了模型系统中不同噪声的影响，即一个可兴奋的激活子-抑制子遗传电路，它显示了这种噪声诱导的稳定效应。我们的研究结果表明，一个最佳的噪声水平提高了周期的规律性（连贯性），在相干共振的形式。类似的噪声水平也优化了周期长度的多模态性质。总之，这些结果说明了如何在一个最小的基因调控基序内的分子噪音赋予强大的周期性多模态模式的生成。
英文摘要：
Many cellular functions are based on the rhythmic organization of biological processes into self-repeating cascades of events. Some of these periodic processes, such as the cell cycles of several species, exhibit conspicuous irregularities in the form of period skippings, which lead to polymodal distributions of cycle lengths. A recently proposed mechanism that accounts for this quantized behavior is the stabilization of a Hopf-unstable state by molecular noise. Here we investigate the effect of varying noise in a model system, namely an excitable activator-repressor genetic circuit, that displays this noise-induced stabilization effect. Our results show that an optimal noise level enhances the regularity (coherence) of the cycles, in a form of coherence resonance. Similar noise levels also optimize the multimodal nature of the cycle lengths. Together, these results illustrate how molecular noise within a minimal gene regulatory motif confers robust generation of polymodal patterns of periodicity.
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