Figure 6
From: Space-induced bifurcation in repression-based transcriptional circuits
Space-induced bifurcations are also observed in three dimensions. The average value of the first zero crossing of the ACF (FZCA) is reported as a function of the degree of demixing r/R (A) or the diffusion coefficient D (B) for uniform (black full line), clustered (brown circles) or segregated (magenta circles) gene configurations in 3D. For each value of parameters and each gene configuration, 20 simulations were run. Circles and horizontal full black line are the average of the 20 resulting FZCA while bars and horizontal dashed line show ± 1 s.d. The protein times series shown in (C) illustrate the two dynamic regimes reached when changing the diffusion coefficient in the uniform configuration: stationary state ((C1), D=1.67×10−3) or oscillations with low ((C2), D=1.67×10-2) or high ((C3), D=1.67×10-1) frequency (note the difference in time scale in C3). All other parameters were according to the standard set defined in the Methods section.