Figure 4: The sensitivity and robustness of the scaling mechanism to changes in the parameter values.
From: Dynamic scaling of morphogen gradients on growing domains
Influence of either doubling (red) or halving (blue) the specified model parameters of the full model shown in Fig. 3 (as given in Supplementary Table 1), that is, of the (a) Dpp production rate, (b) Tkv production rate, (c) Tkv degradation rate, (d) Dpp-Tkv binding rate, (e) Dpp-Tkv unbinding rate, (f) Tkv internalization rate, (g) Tkv exocytosis rate, (h) degradation rate of internalized Dpp, (i) Dpp diffusion constant, on the gradient shape at 90 h (first column), on gradient scaling (second column) and on the fractions of the different Dpp ligand populations (Dpp-Tkvin: light shading; Dpp-Tkvout: intermediate shading; Dpp: dark shading) (third column). Influence of either halving (fourth column) or doubling (fifth column) the specified model parameters of the full model shown in Fig. 3 (as given in Supplementary Table 1) on scaling of the normalized gradients on the rescaled domain. Some parameter values affect the spread of the gradient, but not the scaling. To correct for the effects of different positions on the gradient profiles, we normalized the domain with the relative change in the gradient dispersal, that is, Relative Normalized Position=[Absolute Position/L(t)] · 
. SE refers to the scaling error (equation (2)) between the gradients at t=24 h and t=90 h (0: perfect scaling; 1: no scaling; for details, see Methods).
