Handle URI:
http://hdl.handle.net/10754/598801
Title:
Meniscal Tear Film Fluid Dynamics Near Marx’s Line
Authors:
Zubkov, V. S.; Breward, C. J. W.; Gaffney, E. A.
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.
Publisher:
Springer Nature
Journal:
Bulletin of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
3-Jul-2013
DOI:
10.1007/s11538-013-9858-x
PubMed ID:
23820726
Type:
Article
ISSN:
0092-8240; 1522-9602
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorZubkov, V. S.en
dc.contributor.authorBreward, C. J. W.en
dc.contributor.authorGaffney, E. A.en
dc.date.accessioned2016-02-25T13:41:29Zen
dc.date.available2016-02-25T13:41:29Zen
dc.date.issued2013-07-03en
dc.identifier.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.en
dc.identifier.issn0092-8240en
dc.identifier.issn1522-9602en
dc.identifier.pmid23820726en
dc.identifier.doi10.1007/s11538-013-9858-xen
dc.identifier.urihttp://hdl.handle.net/10754/598801en
dc.description.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.en
dc.description.sponsorshipThis 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.en
dc.publisherSpringer Natureen
dc.subjectMarx's lineen
dc.subjectTear filmen
dc.titleMeniscal Tear Film Fluid Dynamics Near Marx’s Lineen
dc.typeArticleen
dc.identifier.journalBulletin of Mathematical Biologyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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