Stochasticity and negative feedback lead to pulsed dynamics and distinct gene activity patterns

Abstract

Gene expression is an inherently stochastic process that depends on the structure of the biochemical regulatory network in which the gene is embedded. Here we study the interplay between stochastic gene switching and the widespread negative feedback regulatory loop. Using a simple hybrid model, we find that stochasticity in gene switching by itself can induce pulses in the system. Furthermore, we find that our simple model is able to reproduce both exponential and peaked distributions of gene active and inactive times similar to those that have been observed experimentally. Our hybrid modelling approach also allows us to link these patterns to the dynamics of the system for each gene state.