La. Davidson et al., HOW DO SEA-URCHINS INVAGINATE - USING BIOMECHANICS TO DISTINGUISH BETWEEN MECHANISMS OF PRIMARY INVAGINATION, Development, 121(7), 1995, pp. 2005-2018
The forces that drive sea urchin primary invagination remain mysteriou
s, To solve this mystery we have developed a set of finite element sim
ulations that test five hypothesized mechanisms, Our models show that
each of these mechanisms can generate an invagination; however, the me
chanical properties of an epithelial sheet required for proper invagin
ation are different for each mechanism, For example, we find that the
gel swelling hypothesis of Lane et al. (Lane, M. C., Koehl, M. A. R.,
Wilt, F. and Keiler, R. (1993) Development 117, 1049-1060) requires th
e embryo to possess a mechanically stiff apical extracellular matrix a
nd highly deformable cells, whereas a hypothesis based on apical const
riction of the epithelial cells requires more compliant extracellular
matrix. For each mechanism, we have mapped out a range of embryo desig
ns that work. Additionally, the simulations predict specific cell shap
e changes accompanying each mechanism. This allows us to design experi
ments that can distinguish between different mechanisms, all of which
can, in principle, drive primary invagination.