Receptor–ligand-based Turing model for kidney branching morphogenesis. The reported regulatory interactions shown in figure 4d can result in self-emerging patterns of the GDNF-bound RET complex in the epithelium (grey scale: white, highest; black, lowest), and Gdnf expression in the mesenchyme (colour scale: red, highest; blue, lowest), when solved on a three-dimensional idealized bud-shaped domain. The different patterns can, in principle, (a) support elongation, or support the formation of (b) bifurcations, (c) trifurcations or (d) lateral branching. (a–d) Adapted from Menshykau & Iber [72].