Allometry in limb regeneration and scale-invariant patterning as the basis of normal morphogenesis from different sizes of blastemas

Axolotl (Ambystoma mexicanum) limb regeneration begins with blastemas of various sizes, in contrast to the limb developmental process. Despite this size variation, normal limb morphology, consistent with a limb stump size, is regenerated. This outcome suggests the existence of underlying scale-invariant mechanisms. To identify such mechanisms, we examined the allometric relationships between blastema size, and Sonic Hedgehog (Shh) and Fibroblast Growth Factor 8 (Fgf8) expression patterns against limb stump size. We found that all factors showed allometric rather than isometric scaling; specifically, their relative sizes decrease with an increase in limb stump size. However, the ratio of Shh/Fgf8 signaling dominant region was nearly constant, independent of blastema/body size. Furthermore, the relative spatial patterns of cell density and proliferation activity and the relative position of first digit formation were scale–invariant in the summed Shh/Fgf8 crosstalk region. This scale–invariant nature may underlie the morphogenesis of normal limbs from different sizes of blastemas.