Why do mouse corneal epithelial cells display spiraling patterns? We want to provide an
explanation for this curious phenomenon by applying an idealized problem solving process.
Specifically, we applied complementary line-fitting methods to measure transgenic epithelial
reporter expression arrangements displayed on three mature, live enucleated globes to clarify the
problem. Two prominent logarithmic curves were discovered, one of which displayed the
ϕ ratio, an indicator of an optimal configuration in phyllotactic systems.
We then utilized two different computational approaches to expose our current understanding of the
behavior. In one procedure, which involved an isotropic mechanics-based finite element method, we
successfully produced logarithmic spiral curves of maximum shear strain based pathlines but computed
dimensions displayed pitch angles of 35° (ϕ spiral is
∼17°), which was altered when we fitted the model with published measurements of
coarse collagen orientations. We then used model-based reasoning in context of Peircean abduction to
select a working hypothesis. Our work serves as a concise example of applying a scientific habit of
mind and illustrates nuances of executing a common method to doing integrative science. ©
2014 Wiley Periodicals, Inc. Complexity 20: 22–38, 2015