Tear film dynamics on an eye-shaped domain I: pressure boundary conditions

DOI10.1093/imammb/dqp023zbMath1196.92004OpenAlexW2054974057WikidataQ51729944 ScholiaQ51729944MaRDI QIDQ3160700

P. E. King-Smith, K. L. Maki, Richard J. Braun, William D. Henshaw

Publication date: 8 October 2010

Published in: Mathematical Medicine and Biology (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2b96f57ebc8dc1f128ea42dd7a7523ed51aab031

zbMATH Keywords

lubrication theorythin filmtear filmoverset grid

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Finite difference methods for boundary value problems involving PDEs (65N06) Physiological flow (92C35) Method of lines for boundary value problems involving PDEs (65N40)

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Simulation of parabolic flow on an eye-shaped domain with moving boundary ⋮ Tear film dynamics with evaporation, osmolarity and surfactant transport ⋮ Heat transfer and tear film dynamics over multiple blink cycles ⋮ Meniscal tear film fluid dynamics near Marx's line ⋮ Dynamics of a pre-lens tear film after a blink: Model, evolution, and rupture ⋮ Tear film dynamics with evaporation, wetting, and time-dependent flux boundary condition on an eye-shaped domain ⋮ Dynamics of fluorescent imaging for rapid tear thinning ⋮ Thin film dynamics on a prolate spheroid with application to the cornea ⋮ Coupling fluid and solute dynamics within the ocular surface tear film: a modelling study of black line osmolarity ⋮ Dynamics and mechanisms for tear breakup (TBU) on the ocular surface

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