The mechanical basis of morphogenesis: I. Epithelial folding and invagination

Abstract

We present a mechanical model for the morphogenetic folding of embryonic epithelia based on hypothesized mechanical properties of the cellular cytoskeleton. In our model we consider a simple cuboidal epithelium whose cells are joined at their apices by circumferential junctions; to these junctions are attached circumferential arrays of microfilament bundles assembled into a “purse string” around the cell apex. We assume that this purse string has the following property: if its circumference is increased beyond a certain threshold, an active contraction is initiated which “draws the purse-string” and reduces the apical circumference of the cell to a new, shorter, resting length. The remainder of the cell is modeled as a visoelastic body of constant volume. Clearly contraction in one cell could stretch the apical circumferences of neighboring cells and, if the threshold is exceeded, cause them “to fire” and contract. The objective of this paper is to demonstrate that our model, based on the local behavior of individual cells, generates a propagating contraction wave which is sufficient to explain the globally coherent morphogenetic infolding of a wide variety of embryonic epithelia. Representative computer simulations, based on the model, are presented for the initial gastrulation movements of echinoderms, neural tube formation in urodele amphibians, and ventral furrow formation in Drosophila.