Mathematical Modeling of Exudative Retinal Detachment

Download Download as PDF (Size:1912KB)  HTML   XML  PP. 44-56  
DOI: 10.4236/am.2017.81005    354 Downloads   509 Views  


A simple mathematical model for the exudative retinal detachment has been developed. The model takes into consideration a typical retinal blister with unknown shape and the fluid flow caused by its accumulation in the subretinal space through the fluid-leakage into the subretinal space from the choriocapillar is across the outer blood-retina barrier described by Darcy’s law. The theory of bending beams is applied to model the deformation of the retinal blister. The boundary value problem describing the retinal deformation in dimensionless form is solved using the perturbation method. The computational results for the retinal deformation are presented through graphs to illustrate the sensitivity of the deformation to the elastic modulus, the moment of inertia and intraocular pressure and discussed.

Cite this paper

Avtar, R. and Srivastava, S. (2017) Mathematical Modeling of Exudative Retinal Detachment. Applied Mathematics, 8, 44-56. doi: 10.4236/am.2017.81005.


[1] Fitt, A. (2004) Post Re-Attachment Retinal Re-Detachment. Report on a Problem Studied at the UK Mathematics-in-Medicine Study Group, Strathclyde.
[2] Chou, T. and Siegel, M. The Mechanics of Retinal Detachment. Proceedings of the National Academy of Sciences of the United States of America.
[3] Baino, F. (2010) The Use of Polymers in the Treatment of Retinal Detachment: Current Trends and Future Perspectives. Polymers, 2, 286-322.
[4] Bottega, W.J., Bishay, P.L., Prenner, J.L. and Fine, H.F. (2013) On the Mechanics of a Detaching Retina. Mathematical Medicine and Biology, 30, 287-310.
[5] Lakawicz, J.M., Bottega, W.J., Prenner, J.L. and Fine, H.F. (2015) An Analysis of the Mechanical Behaviour of a Detaching Retina. Mathematical Medicine and Biology, 32, 137-161.
[6] Jones, I.L., Warner, M. and Stevens, J.D. (1992) Mathematical Modelling of the Elastic Properties of Retina: A Determination of Young’s Modulus. Eye, 6, 556-559.
[7] Faude, F., Francke, M., Makarov, F., Schuck, J., Gartner, U., Reichelt, W., Wiedemann, P., Wolburg, H. and Reichenbach, A. (2001) Experimental Retinal Detachment Causes Widespread and Multilayered Degeneration in Rabbit Retina. Journal of Neurocytology, 30, 379-390.
[8] Liu, X.Y., Wang, L.Z., Wang, C., Sun, G.Y., Liu, S.Y. and Fan, Y.B. (2013) Mechanism of Traumatic Retinal Detachment in Blunt Impact: A Finite Element Study. Journal of Biomechanics, 46, 1321-1327.
[9] Ismail, Z. (2013) The Mathematical Modeling of Flow and Deformation in the Human Eye. Doctoral Thesis, University of Southampton, Southampton.

comments powered by Disqus

Copyright © 2017 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.