18 citations · 35 across the 6 of their papers we have counts for
6 papers
Extensional Flow of a Free Film of Nematic Liquid Crystal with Moderate Elasticity
M. J. Taranchuk, L. J. Cummings, T. A. Driscoll +1
Motivated by problems arising in tear film dynamics, we present a model for the extensional flow of thin sheets of nematic liquid crystal. The rod-like molecules of these substance…
Fitting ODE models of tear film breakup
Tobin A. Driscoll, Richard J. Braun, Rayanne A. Luke +5
The contribution of different physical effects to tear breakup (TBU) in subjects with no self-reported history of dry eye are quantified. An automated system using a convolutional…
Mechanistic determination of tear film thinning via fitting simplified models to tear breakup
Rayanne A. Luke, Richard J. Braun, Carolyn G. Begley
Purpose: To determine whether evaporation, tangential flow, or a combination of the two cause tear film breakup in a variety of instances; to estimate related breakup parameters th…
Parameter Estimation for Mixed-Mechanism Tear Film Thinning
Rayanne A. Luke, Richard J. Braun, Tobin A. Driscoll +2
Etiologies of tear breakup include evaporation-driven, divergent flow-driven, and a combination of these two. A mathematical model incorporating evaporation and lipid-driven tangen…
Simulation of Parabolic Flow on an Eye-Shaped Domain with Moving Boundary
Tobin A. Driscoll, Richard J. Braun, Joseph K. Brosch
During the upstroke of a normal eye blink, the upper lid moves and paints a thin tear film over the exposed corneal and conjunctival surfaces. This thin tear film may be modeled by…
A Model for Isotropic Crystal Growth from Vapor on a Patterned Substrate
M. Khenner, R. J. Braun, M. G. Mauk
We developed a consistent mathematical model for isotropic crystal growth on a substrate covered by the mask material with a periodic series of parallel long trenches where the sub…