The Mathematical Institute, University of Oxford, Eprints Archive

The effect of polar lipids on tear film dynamics

Aydemir, E and Breward, C. J. W. and Witelski, T P (2009) The effect of polar lipids on tear film dynamics. Not specified . (Submitted)

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Abstract

In this paper we present a mathematical model describing the effect of polar lipids on the evolution of a precorneal tear film, with the aim of explaining the interesting experimentally observed phenomenon that the tear film continues to move upwards even after the upper eyelid has become stationary. The polar lipid is an insoluble surface species that locally alters the surface tension of the tear film. In the lubrication limit, the model reduces to two coupled nonlinear partial differential equations for the film thickness and the concentration of lipid. We solve the system numerically and observe that the presence of the lipid causes an increase in flow of liquid up the eye. We further exploit the size of the parameters in the problem to explain the initial evolution of the system.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:821
Deposited By:Dr M. Stoll
Deposited On:24 Sep 2009 13:35
Last Modified:24 Sep 2009 13:35

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