Mathematical models of the flow of aqueous humour of the eye

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• Jennifer Tweedy, Imperial College London
• Thursday 12 October 2017, 12:00-13:00
• Biosciences E102.

If you have a question about this talk, please contact Meurig Gallagher.

The aqueous is produced by the ciliary body behind the iris of the eye, and flows through the eye at an approximately constant rate, although in a characteristically different flow pattern during the day and night. In this talk we present recent work on three different models of this flow. In the first model we calculate the flow in the anterior chamber front of the iris with an implanted lens fixed to the iris that alters the flow. We use this to investigate the potential increase in shear stress on the tissues with the lens in place that could lead to possible tissue damage. The model takes advantage of the narrowness of the anterior chamber, and considers the flow in regions anterior to, posterior to and around the lens. In the second model we investigate the effect of iridotomy, which is when a small hole is made surgically in the iris tissue in order to allow flow to pass more easily through the eye and reduce the risk of possible high pressures. The fluid flow is investigated in the posterior chamber: we make use of the narrowness of this chamber, use a formula for the flow through the iridotomy itself, prescribe the pressure at the pupil, and prescribe the production rate of the aqueous by the ciliary body. In the final model we investigate the additional effect of eye rotations on the shear stress in the anterior chamber. This allows us to investigate the effect of the rotations on the primary flow, and also to calculate the steady streaming flow that is generated and also the higher frequency components.

This talk is part of the Applied Mathematics Seminar Series series.

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• Applied Mathematics Seminar Series
• Biosciences E102
• School of Mathematics events

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