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Robustness of the Dorsal morphogen gradient with respect to morphogen dosage

Fig 4

Varying the maternal dl dose influences the Dl gradient.

(A) Averaged and normalized Dl gradients in 1x, 2x, and 4x embryos. Averaged from n > 30 embryos each (see Methods). (B) Box-and-violin plot of the width of the Dorsal gradient in the genotypes shown in (A). Numbers below distributions indicate sample size. Numbers above indicate p-values. The width of the 1x gradient was modified, as the shape was non-Gaussian (see Supplementary Methods). (C) Dl gradient plot in 1x, 2x, and 4x embryos in the dosage-scaling model showing the effect of higher width in 4x embryos and lower width in 1x embryos. (D) Graph of Dl gradients with best-fit amplitudes for the 1x and 4x gradients, with respect to the 2x gradient set to amplitude of one. (E) Contour plot of the SSE with respect to the amplitude of the 1x gradient (α1x) and that of the 4x gradient α4x. Red dot: the set of best-fit amplitudes. Red curves show the contours of the objective function landscape. Dimmed portion of the α1x,α4x plane: infeasible region, as realistically, α1x cannot be greater than 1, and α4x cannot be less than one.

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1007750.g004