Stochastic simulations of bistable autostimulatory reaction systems.

<p>In the upper part, <i>w</i>_<i>s</i>-<i>w</i>_<i>m</i>-plots of three different regulatory systems with similar protein levels in the active states are shown. The plots in the lower part show the results of 500 simulations of corresponding protein time courses, initialized in the inactive state. The protein distributions are visualized by color plots. One exemplary time course is highlighted in white. (A): Linear translation rate. Protein bursts are too small to activate the system. , <i>G</i>(<i>m</i>) = 40<i>m</i>, <i>ν</i> = 0.05. (B): Bursts emerge through accelerated protein dynamics (increase in <i>ν</i>), leading to random activation and inactivation events. Parameters as in (A), except for <i>ν</i> = 0.4. (C): System with saturated translation rate. Bursts occur in the inactive state, but are attenuated in the active state, leading to a bimodal, robust activation of the system. , , <i>ν</i> = 0.2.