Videos

Models for dynamics of the human tear film

Presenter
September 17, 2009
Abstract
We study dynamics from models for the human tear film in one and two dimensional domains. The tear film is roughly a few microns thick over a domain on a centimeter scale; this separation of scales makes lubrication models desirable. Results on one-dimensional blinking domains are presnted for multiple blink cycles. Results on two-dimensional domains are presented for different boundary conditions. In all cases, the results are sensitive to the boundary conditions; this is intuitively satisfying since the seems to control the tear film from the boundary and its motion. Quantitative comparison with in vivo measurement will be given in some cases. Some discussion of tear film properties will also be given, and results for non-Newtonian models will be given as available, as well as a wish list for future data and models in this direction.