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    Meniscal Tear Film Fluid Dynamics Near Marx’s Line

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    Type
    Article
    Authors
    Zubkov, V. S.
    Breward, C. J. W.
    Gaffney, E. A.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2013-07-03
    Online Publication Date
    2013-07-03
    Print Publication Date
    2013-09
    Permanent link to this record
    http://hdl.handle.net/10754/598801
    
    Metadata
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    Abstract
    Extensive 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.
    Citation
    Zubkov 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.
    Sponsors
    This 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.
    Publisher
    Springer Nature
    Journal
    Bulletin of Mathematical Biology
    DOI
    10.1007/s11538-013-9858-x
    PubMed ID
    23820726
    ae974a485f413a2113503eed53cd6c53
    10.1007/s11538-013-9858-x
    Scopus Count
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