ArticleMathematical medicine and biology : a journal of the IMA2016
Computed tear film and osmolarity dynamics on an eye-shaped domain.
Article in Mathematical medicine and biology : a journal of the IMA, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed, 26 citations in OpenAlex.
- Model of ocular surface ion and water transport predicts efficacy of dry eye therapeutics.The Journal of general physiology · 2026Article
- Changes in Corneal Detection Thresholds After Repeated Tear Film Instability.Investigative ophthalmology & visual science · 2019Article
- Tracking the Reflective Light Particles Spreading on the Cornea: An Emerging Assessment for Tear Film Homeostasis.Translational vision science & technology · 2019Article
- Mathematical modelling of glob-driven tear film breakup.Mathematical medicine and biology : a journal of the IMA · 2019Article
- On tear film breakup (TBU): dynamics and imaging.Mathematical medicine and biology : a journal of the IMA · 2018Article
- Mechanisms, imaging and structure of tear film breakup.The ocular surface · 2018Review
- TFOS DEWS II Tear Film Report.The ocular surface · 2017Review
- Dynamics and function of the tear film in relation to the blink cycle.Progress in retinal and eye research · 2015Review
Corrections and comments
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Authors and funding
6 authors at 4 institutions in 1 country.
Funding
Abstract
The concentration of ions, or osmolarity, in the tear film is a key variable in understanding dry eye symptoms and disease. In this manuscript, we derive a mathematical model that couples osmolarity (treated as a single solute) and fluid dynamics within the tear film on a 2D eye-shaped domain. The model includes the physical effects of evaporation, surface tension, viscosity, ocular surface wettability, osmolarity, osmosis and tear fluid supply and drainage. The governing system of coupled non-linear partial differential equations is solved using the Overture computational framework, together with a hybrid time-stepping scheme, using a variable step backward differentiation formula and a Runge-Kutta-Chebyshev method that were added to the framework. The results of our numerical simulations provide new insight into the osmolarity distribution over the ocular surface during the interblink.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.