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Center For Applied and Computational Mathematics

Dynamics of the Human Tear Film

Tear Film

Faculty: Kara Maki
 David Ross
 Steve Weinstein

Summary:

  • Fluid dynamics of the tear film
  • Solid mechanics of contact lenses and suction pressure
  • Dry eye disease

Poster:

Publications:

  1. Exchange of Tears under a Contact Lens Is Driven by Distortions of the Contact Lens, Kara L. Maki; David S. Ross, Integrative and Comparative Biology 2014; doi:10.1093/icb/icu092

  2. A New Method for Computing the Suction Pressure Under a Contact Lens, K. Maki, D. S. Ross, J. Bio. Sys., Vol. 22, No. 2 (2014) 235-248.

  3. Maximum-likelihood Estimation in Optical Coherence Tomography in the Context of the Tear Film Dynamics, Jinxin Huang, Kye-sung Lee, Eric Clarkson, Matthew Kupinski, Kara L. Maki, David S. Ross, James V. Aquavella, and Jannick P. Rolland, Biomedical Optics Express, Vol. 4, Iss. 10, pp. 1806-1816 (2013).

  4. Quantitative Measurement of Tear Film Dynamics with Optical Coherence Tomography and a Maximum-Likelihood Estimator, J. Huang, K. Lee, E. Clarckson, M. Kupinsky, K. Maki, D. S. Ross, J. Rolland, Optics Letters, Vol. 38, Iss. 10, pp. 1721-1723 (2013).

  5. Tear film dynamics on an eye-shaped domain II: Flux Boundary Conditions, K. L. Maki, R. J. Braun, P. Ucciferro, W. D. Henshaw, and P. E. King-Smith, Journal of Fluid Mechanics 165 (2010), 1373-1385.

  6. Tear film dynamics on an eye-shaped domain I: Pressure Boundary Conditions, K. L. Maki, R. J. Braun, W. D. Henshaw, and P. E. King-Smith, Mathematical Medicine and Biology 27 (2010), 227-254.

  7. An overset grid method for the study of reflex tearing, K. L. Maki, R. J. Braun, T. A. Driscoll, and P. E. King-Smith, Mathematical Medicine and Biology 25 (2008), 187-214.

Collaborators:

Ian Cox (Bausch & Lomb)
Gary Richardson (Bausch & Lomb)
Tobin Driscoll (University of Delaware)
Peter King-Smith (Ohio State)
Bill Henshaw (Lawrence Livermore National Laboratory)
Richard Braun (University of Delaware)
Jannick Rolland (Institute of Optics, U of R)
James Aquavella (Strong Hospital, U of R)
Eric Clarkson (University of Arizona)
Matthew Kupinski (University of Arizona)