Figure 2
From: Effects of bursty protein production on the noisy oscillatory properties of downstream pathways
The impact of burstiness in the input reaction on the existence of noise-induced oscillations for the modified Brusselator model.
The regions in Λ1–Λ2 space are numbered as follows: (0) unstable, (1) node with noise-induced oscillations (NIO), (2) focus with NIO, (3) node with no NIO and (4) focus with no NIO. Solid black lines bound the regions of different linear stability: the dotted region corresponds to the stable focus regime; white regions correspond to the stable node regimes and the grey region is where the fixed point is unstable (including the limit cycle regime). The red regions in (a) and (b) show the parameter space region where there are noise-induced oscillations in the concentration of species X1 for the non-bursty input and bursty-input versions of the modified Brusselator respectively. The blue regions in (c) and (d) imply the same but for species X2. The burst input distribution is geometric with mean burst size μ1 = 12. A comparison of (a) and (b) shows that burstiness in the input reaction promotes noise-induced oscillations in X1 while a comparison of (c) and (d) shows that it destroys them in X2. Note that the regions where most of these effects occur are not dotted, indicating that they are stable node steady-states.
