A model of fluid flow through the detached retina

Ismail, Zuhaila, Fitt, Alistair and Please, Colin (2009) A model of fluid flow through the detached retina. At 3rd European Postgraduate Fluid Dynamics Conference (EPFDC 2009), Nottingham, UK, 13 - 16 Jul 2009.


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The retina is a transparent layer of sensitive tissue which is kept in contact with the choroid (which is responsible in giving nourishment to the retina) inside the eye. When the retina tear develops, it may allow liquefied vitreous humour (VH - a clear gel that fills the space between the lens and the retina) to flow through the retina and push the retina away from the choroids, thus causing a retinal detachment (RD). If the retina remains detached, it will lose the ability to function, vision will become distorted and finally the patient will go permanently blind. A paradigm mathematical model of fluid flow through the detached retina has been developed by considering the lubrication theory limit of the Navier-Stokes equations. In the current study fluid flow between rigid walls has been assumed and we have considered the detached retina to be a thin flap which it is attached to the plain wall (choroid). The detached retina is also assumed to be elastic and deformable; allowing the general theory of beam bending to be applied. In particular, asymptotic analysis has been used in order to calculate and analyze the flow behaviour, the deformation of the detached retina, as well as the fluxes of fluid and the bending moment.

Item Type: Conference or Workshop Item (Speech)
Keywords: detached retina, lubrication theory, beam bending theory, asymptotic analysis
Subjects: R Medicine > RE Ophthalmology
R Medicine > RZ Other systems of medicine
Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 67097
Accepted Date and Publication Date:
July 2009Delivered
Date Deposited: 06 Aug 2009
Last Modified: 31 Mar 2016 12:53
URI: http://eprints.soton.ac.uk/id/eprint/67097

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