Theory of time delayed genetic oscillations with external noisy regulation

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