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Mathematical Models of the Tear Film

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Ocular Fluid Dynamics

Abstract

The complex dynamics of the tear film are affected by its many processes and components. Mathematical models of the tear film allow the selective elimination or inclusion of various effects that are not otherwise possible in human subjects. Such models have been able to provide local estimates of osmolarity in tear break up (TBU), for example, which to our knowledge cannot be measured directly. Models also suggest that different modes of TBU must be considered to make sense of in vivo data regarding response of the ocular epithelia and causes of dry eye. More complex models that include tear film formation via blinking are within our grasp, which will no doubt extend our knowledge of the tear film, its dynamics, and its role in ocular surface health.

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Acknowledgements

This work is funded by NSF grant 1412085 (Braun, Driscoll) and NIH grant 1R01EY021794 (Begley). The opinions expressed here are those of the authors and do not represent the official position of either the NSF or the NIH.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, USA

    Richard J. Braun & Tobin A. Driscoll

  2. School of Optometry, Indiana University, Bloomington, IN, USA

    Carolyn G. Begley

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  1. Richard J. Braun
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  2. Tobin A. Driscoll
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  3. Carolyn G. Begley
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Correspondence to Richard J. Braun .

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Editors and Affiliations

  1. Department of Math Sciences, Indiana University – Purdue University I, Indianapolis, IN, USA

    Giovanna Guidoboni

  2. Icahn School of Medicine at Mount Sinai, New York, NY, USA

    Alon Harris

  3. Department of Mathematics, Polytechnic University of Milan, Milan, Italy

    Riccardo Sacco

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Braun, R.J., Driscoll, T., Begley, C. (2019). Mathematical Models of the Tear Film. In: Guidoboni, G., Harris, A., Sacco, R. (eds) Ocular Fluid Dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25886-3_17

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