The limiting dynamics of a bistable molecular switch with and without noise
The authors consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks. The local and global dynamics in the absence of any noise is characterized. The effects of either noise coming from bursting or Gaussian noise in molecular degradation rates are considered. It is shown how the steady state distribution in the population can range from a single unimodal distribution through a bimodal distribution. It is also shown that the switch model with bursting but two dominant slow genes has an asymptotically stable stationary density.
scientific article; zbMATH DE number 6618978