Modelling drainage of the precorneal tear film after a blink
Modelling drainage of the precorneal tear film after a blink
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.
precorneal tear film, film drainage, dry eye
1-28
Braun, R.J.
a00ab669-1856-4b10-b2c8-d41b9d632f78
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
March 2003
Braun, R.J.
a00ab669-1856-4b10-b2c8-d41b9d632f78
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Braun, R.J. and Fitt, A.D.
(2003)
Modelling drainage of the precorneal tear film after a blink.
Mathematical Medicine and Biology, 20 (1), .
(doi:10.1093/imammb/20.1.1).
Abstract
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.
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Published date: March 2003
Keywords:
precorneal tear film, film drainage, dry eye
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Local EPrints ID: 29134
URI: http://eprints.soton.ac.uk/id/eprint/29134
ISSN: 1477-8599
PURE UUID: d7512579-ef59-41fe-b8b5-fd05f729a640
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Date deposited: 12 May 2006
Last modified: 15 Mar 2024 07:29
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Author:
R.J. Braun
Author:
A.D. Fitt
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