We present a general theory of noisy genetic oscillators with externally regulated production rate. The observables that characterize the genetic oscillator are discussed, and it is shown how their statistics depend on the statistics of the external regulator. We show that these observables have generic features that are observed in two different experimental systems: the expression of the circadian clock genes in fibroblasts, and in the transient and oscillatory dynamics of the segmentation clock genes observed in cells disassociated from zebrafish embryos. Our work shows that genetic oscillations with diverse biological contexts can be understood in a common framework based on delayed negative feedback system, and slow regulator dynamics.

中文翻译：

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具有外部噪声调节的遗传振荡理论

我们提出了带有外部调节生产率的噪声遗传振荡器的一般理论。讨论了表征遗传振荡器的可观察物，并显示了它们的统计如何依赖于外部调节器的统计。我们表明，这些可观察物具有在两个不同的实验系统中观察到的一般特征：在成纤维细胞中昼夜节律基因的表达，以及在从斑马鱼胚胎分离的细胞中观察到的分段时钟基因的瞬时和振荡动力学。我们的工作表明，基于延迟负反馈系统和慢速调节器动力学的通用框架可以理解具有多种生物学环境的遗传振荡。