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Read-out of morphogen gradients with constant amplitude c0 on a growing domain.

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posted on 2015-11-24, 03:50 authored by Patrick Fried, Dagmar Iber

Gradient read-out for a gradient with constant amplitude, c0, in case of (left column) perfect scaling with λ = k1L(t); k1 = 0.11 (ref [10]), (center column) absence of scaling with λ = 20.2 μm (ref [9]), and (right column) imperfect scaling with λ=D2vgL(t)D2vgL0 with D2vg=3μm and L0 = 46 μm (ref [20]). (a-c) A morphogen gradient at three timepoints (L(t) = 100 μm (light grey), L(t) = 200 μm (dark grey), L(t) = 300 μm (black)) on a domain that is scaled with respect to the current length of the domain, L(t). Five different concentration thresholds are shown as differently colored lines. (d-f) Trajectories of the positions, ζθ, where the different threshold concentration, shown in panels a-c, are attained. The dashed, black horizontal lines mark the time interval that is further analysed in panels j-l. (g-i) The derivative of the relative read-out position with respect to the domain length, dζθdL, evaluated at different final read-out positions. (j-l) The maximal deviation of the relative read-out positions, Δζ, in the interval from 125 μm to 300 μm (marked by dashed, black horizontal lines in panels d-f) for different final read-out positions. The colored dots indicate the final read-out position of the thresholds shown in panels a-c.