KAUST Grant NumberKUK-C1-013-04
Online Publication Date2013-07-03
Print Publication Date2013-09
Permanent link to this recordhttp://hdl.handle.net/10754/598801
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AbstractExtensive studies have explored the dynamics of the ocular surface fluid, though theoretical investigations are typically limited to the use of the lubrication approximation, which is not guaranteed to be uniformly valid a-priori throughout the tear meniscus. However, resolving tear film behaviour within the meniscus and especially its apices is required to characterise the flow dynamics where the tear film is especially thin, and thus most susceptible to evaporatively induced hyperosmolarity and subsequent epithelial damage. Hence, we have explored the accuracy of the standard lubrication approximation for the tear film by explicit comparisons with the 2D Navier-Stokes model, considering both stationary and moving eyelids. Our results demonstrate that the lubrication model is qualitatively accurate except in the vicinity of the eyelids. In particular, and in contrast to lubrication theory, the solution of the full Navier-Stokes equations predict a distinct absence of fluid flow, and thus convective mixing in the region adjacent to the tear film contact line. These observations not only support emergent hypotheses concerning the formation of Marx's line, a region of epithelial cell staining adjacent to the contact line on the eyelid, but also enhance our understanding of the pathophysiological consequences of the flow profile near the tear film contact line. © 2013 Society for Mathematical Biology.
CitationZubkov VS, Breward CJW, Gaffney EA (2013) Meniscal Tear Film Fluid Dynamics Near Marx’s Line. Bull Math Biol 75: 1524–1543. Available: http://dx.doi.org/10.1007/s11538-013-9858-x.
SponsorsThis paper is based on work supported by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). We are grateful to Professor Richard Braun, Professor Anthony Bron, Professor Colin Please, and Dr. John Tiffany for insightful discussions.
JournalBulletin of Mathematical Biology
CollectionsPublications Acknowledging KAUST Support
- A solute gradient in the tear meniscus. I. A hypothesis to explain Marx's line.
- Authors: Bron AJ, Yokoi N, Gaffney EA, Tiffany JM
- Issue date: 2011 Apr
- Coupling fluid and solute dynamics within the ocular surface tear film: a modelling study of black line osmolarity.
- Authors: Zubkov VS, Breward CJ, Gaffney EA
- Issue date: 2012 Sep
- Modelling the evaporation of a tear film over a contact lens.
- Authors: Talbott K, Xu A, Anderson DM, Seshaiyer P
- Issue date: 2015 Jun
- Dynamics of tear film deposition and draining.
- Authors: Jones MB, Please CP, McElwain DL, Fulford GR, Roberts AP, Collins MJ
- Issue date: 2005 Sep
- A mass and solute balance model for tear volume and osmolarity in the normal and the dry eye.
- Authors: Gaffney EA, Tiffany JM, Yokoi N, Bron AJ
- Issue date: 2010 Jan