Fig. 4: An ultra-sensitive relation between pharynx size and body growth is required for robustness of pharynx-to-body length proportions to tissue-specific RAGA-1 inhibition.
From: Maintenance of appropriate size scaling of the C. elegans pharynx by YAP-1
a Schematic illustration of mathematical model as described in the text. b Body length growth rate (∆log(length)/∆t) as a function of deviation of pharynx length dp from the P-line under pharyngeal growth inhibition. Growth is normalized to unperturbed growth. Color indicates IAA concentration increasing from red (0 mM) to blue (1 mM). Circle size indicates the larval stage (L1 being the smallest). Green line is a fitted Hill function as described in the main text. c Comparison of experimental data (solid circles) from pharyngeal RAGA-1 AID to three different models (thin lines) as described in the main text with \({f}_{p}({d}_{p})=\frac{1}{1+{(\frac{{d}_{p}}{k})}^{n}}\) (left), \(f({d}_{p})=1\) (middle), \(f({d}_{p})=1-{d}_{p}\) (right). Colours as in (a). The ultra-sensitive threshold model is close to experimental data. The proportional and the independent models are inconsistent with the experimental data. d As (c), but for epidermal RAGA-1 AID. b–d error bars in vertical and horizontal direction indicate standard error of the mean between day-to-day repeats. Absence of error bars means that they were smaller than the marker size. Number individuals n, 26 < n < 259 from number of day-to-day repeats m between 2 and 10. See Supplementary Tables 1 and 2 for n and m of each condition.
