(a) Schematic of a lateral inhibition hypothesis for rugal spacing. Curves represent levels of inhibitor produced by rugae and dashed line represents inhibitory threshold. Growth between rugae would allow the level of inhibition to fall below threshold (asterisk) allowing the formation of a new ruga (dashed rectangle). (b,c) Rugal Shh stripes of palatal shelves of littermates cultured for 0, 24 and 48 hours explanted at (b) E12.5 and (c) E13.5 demonstrating the addition of rugae without AP growth at closer spacing than the equivalent stripes in vivo. (d) Schematic representing the predicted effect of removing a ruga under a lateral inhibition model. Removing the anterior of the palatal shelf by cutting posterior to the second ruga (vertical dashed line), removes inhibition from second ruga allowing inhibition to fall below threshold level at the cut edge (asterisk) leading to the formation of a new ruga (dashed rectangle). (e,f,g) Experimental result differs dramatically from the prediction: posterior palatal shelves cut adjacent to ruga 2 and cultured for 48 hours (two examples, f and g, with immediately fixed anterior, uncultured anterior pieces to the right) analysed by Shh in situ hybridisation show branches to ruga 3 at curves in the ruga (black arrowheads), not seen in uncut controls (e). (Dashed line in (e) represents where cut is in cut shelves.) (h, i) Branches to stripes are readily replicated in reaction-diffusion simulations generated using Turing equations as in ref 2 – compare pattern in circles in h and i with those at arrowheads in f, g. All specimens oriented with anterior to right, medial up.