Authors: S. Hilgenfeldt, S. Erisken, I. Gemp, and R. W. Carthew
The complex, highly reproducible shapes of ommatidia in the Drosophila
eye are crucially dependent on cadherin expression in the adherens
junctions of cells. We show that not only the overall tissue
organization, but the shape of each individual cell can be understood
through quantitative modeling using minimization of an interfacial
energy functional. The model contains only two free parameters, encoding
for the adhesion strengths of E- and N-cadherin, and reproduces
interfacial angles and lengths in the adherens junction to within a few
percent accuracy. Characteristic morphological changes in mutant
ommatidia can be modeled within this approach, indicating that changing
levels of cadherin expression may be important for shape evolution
during morphogenesis.