Fig. 3. (A) The spatiotemporal dynamics induced by a monotonically increasing and saturating input. (Left) Time-dependent and spatially nonuniform distribution of Gurken. Center: the colormap of the spatiotemporal dynamics of Rhomboid. Space is along the horizontal axis, time is along the vertical axis. The value of r(x,t) changes continuously from 0 to 1 upon going from blue to red regions. (Right) The snapshots showing the profiles of Spitz and Argos at different points of the transient (t=30, 110 and 150) corresponding to the formation of a narrow single-peaked domain, initiation of the splitting event and an equilibrated two-peaked pattern. (B) The parametric diagram that shows the dependence of the dimensionless Spitz concentration in the center of the domain s(x=0,t) on the amplitude of the Gurken input g(x=0,t). Notice the relatively sharp transitions between qualitatively different patterns during the transient. The model parameters used in computing this transient are: x₀=3, _g=40, g₀=1, c_a=0.5, c_r=0.4, b_r=0.2, b_a=0.05, =1.6, _s=0.1, _a=1 and =0.1. See Materials and Methods for the discussion of the selection of the parameter values.

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