A Geometro-mechanical model for pulsatile morphogenesis

A model is proposed which imitates the morphogenesis of several species of the lower invertebrate animals, the hydroid polyps and permits the derivation of the geometry (surface curvature) of each developmental stage from that of the preceding stage. The model is based upon two experimentally verified assumptions. First, neighbouring cells are assumed to compress each other laterally in a regular and species-specific pulsatile manner. It is this pressure, and/or an active cell reaction to it, which changes the curvature of a cell layer. Secondly, cell layers are assumed to have quasi-elastic properties tending to smooth out their curvature. With our model, the different pulsatile patterns of cell-cell pressure are reproduced and the elasticity parameters are modulated. As a result, within a large zone of parameter values (a so-called "morphogenetic zone", MZ) realistic shapes of the rudiments are reproduced. The main principles of the model can also be used for interpreting the morphogenesis of other groups of animals. A suggested model emphasizes the self-organizing properties of a "stressed geometry" of embryonic rudiments.