Journal Article

Modelling drainage of the precorneal tear film after a blink

R. J. Braun and A. D. Fitt

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 20, issue 1, pages 1-28
Published in print March 2003 | ISSN: 1477-8599
Published online March 2003 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/20.1.1
Modelling drainage of the precorneal tear film after a blink

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We study the drainage of the precorneal tear film in humans. A fluid dynamic model for the drainage of the aqueous layer is developed that includes the effects of evaporation and gravity. The model may be reduced to a single nonlinear partial differential equation for the thickness of the aqueous layer. The equation is solved numerically and accurate times for film rupture are obtained for physically realistic parameters. The results indicate that although gravity and evaporation are not the most dominant effects in some parts of the film, they can nevertheless materially affect the film drainage process and should therefore be included in models for tear film drainage.

Keywords: precorneal tear film; film drainage; dry eye

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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