We present a general theory of noisy genetic oscillators with externally regulated production rate and multiplicative noise. The observables that characterize the genetic oscillator are discussed, and it is shown how their statistics depend on the externally regulated production rate. 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 a delayed negative feedback system, and regulator dynamics.

我们提出了具有外部调节生产率和乘法噪声的嘈杂遗传振荡器的一般理论。讨论了表征遗传振荡器的可观察量，并显示了它们的统计数据如何取决于外部调节的生产率。我们表明，这些可观测值具有在两个不同实验系统中观察到的通用特征：成纤维细胞中生物钟基因的表达，以及在与斑马鱼胚胎分离的细胞中观察到的分割时钟基因的瞬态和振荡动力学。我们的工作表明，可以在基于延迟负反馈系统和调节器动力学的通用框架中理解具有不同生物背景的遗传振荡。