Figure 4 | Scientific Reports

Figure 4

From: Scale invariance of BMP signaling gradients in zebrafish

Figure 4

The P-Smad5 gradient profiles of Gd and Tu do not scale. (a) The animal and lateral views of P-Smad5 stained 6 hpf embryo point clouds of Tu and Gd after image processing with P-Smad5 labeling intensity in color. (b) The distribution of the relative vegetal margin radius length of Tu and Gd. (ce) P-Smad5 gradient profiles of Gd (red) vs Tu (black) embryos. (c) Population mean P-Smad5 gradients of Gd and Tu on x/Lmax plot with variation shown by error bars. In each embryo, the P-Smad5 levels of cells are averaged among cells that are nearby within an interval of \(\frac{{{\rm{L}}}_{{\rm{\max }}}}{18}\) in length. P-Smad5 labeling intensities of all embryos of the same group at the same absolute position are then averaged to plot the errorbar on each position node. (d) Population mean P-Smad5 gradients of Gd and Tu on x/L plot with variation shown by error bars. (e) P-Smad5 signal of each embryos grouped by 10° interval in dots on x/Lmax plot, Tu in black, Gd in red. (f) P-Smad5 signal of each embryos averaged by 10° interval in dots on x/L plot, Tu in black, Gd in red. Each dot corresponds to an average of P-Smad5 signals of all cells within every 10° along the margin within one embryo. (g–i) Point-wise SEs for population mean morphogen gradients of Gd and Tu after curve fitting on x/L plot and x/Lmax plot. (g) SE of Gd and Tu population mean morphogen gradients on x/Lmax plot (blue) vs on x/L plot (magenta). (h) Average P-Smad5 signals of every 10° along the margin of each Tu embryo are fitted with a smooth curve using the Hill equation (equation 1) and plotted in black line on x/Lmax plot. The smooth curve that fits the individual average P-Smad5 signals of Gd embryos are plotted in red line. (i) Curve fitting of population P-Smad5 gradients on x/L plot. (jl) Ratio of curve-fit parameters vs L along the Gd and Tu embryo margins. (j) Scatter plot of the curve-fit parameter a vs L fitting with a line in blue, used to calculate the scaling power of parameter a. (k) Scatter plot of the curve-fit parameter b vs L fitting with a line in blue, used to calculate the scaling power of parameter b. (l) Scatter plot of the curve-fit parameter c vs L fitting with a line in blue, used to calculate the scaling power of parameter c.

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