Mathematical Models of the Tear Film

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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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Braun, R. J., Driscoll, T. A., & Begley, C. G. (2019). Mathematical Models of the Tear Film. In Modeling and Simulation in Science, Engineering and Technology (pp. 387–432). Birkhauser. https://doi.org/10.1007/978-3-030-25886-3_17

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