Stochastic analysis of autoregulatory gene expression dynamics
In this work, the autoregulatory genetic module is investigated by using stochastic theory. We show here that the stochastic effect of the second order perturbation theory further reduces the fluctuation size of the gene expression level more than what is expected in deterministic methods. Furthermore, dynamical aspects of the system were investigated. In particular, we estimated the time needed to reach the equilibrium state.
autoregulatory genetic module stochastic theory noise fokker-planck equation