Elasticity and glocality: initiation of embryonic inversion in Volvox.


Change log
Authors
Haas, Pierre A 
Goldstein, Raymond E  ORCID logo  https://orcid.org/0000-0003-2645-0598
Abstract

Elastic objects across a wide range of scales deform under local changes of their intrinsic properties, yet the shapes are glocal, set by a complicated balance between local properties and global geometric constraints. Here, we explore this interplay during the inversion process of the green alga Volvox, whose embryos must turn themselves inside out to complete their development. This process has recently been shown to be well described by the deformations of an elastic shell under local variations of its intrinsic curvatures and stretches, although the detailed mechanics of the process have remained unclear. Through a combination of asymptotic analysis and numerical studies of the bifurcation behaviour, we illustrate how appropriate local deformations can overcome global constraints to initiate inversion.

Description
Keywords
Volvox, cell sheet folding, embryonic inversion, Elasticity, Models, Biological, Volvox
Journal Title
J R Soc Interface
Conference Name
Journal ISSN
1742-5689
1742-5662
Volume Title
12
Publisher
The Royal Society
Sponsorship
Engineering and Physical Sciences Research Council (EP/M017982/1)
EPSRC (1345122)
Wellcome Trust (097855/Z/11/Z)
We thank Stephanie H¨ohn, Aurelia R. HonerkampSmith and Philipp Khuc Trong for extensive discussions. This work was supported in part by an EPSRC studentship (PAH), an EPSRC Established Career Fellowship (REG), and a Wellcome Trust Senior Investigator Award (REG).