Mathematical modelling of corneal swelling

Biomechanics and Modeling in Mechanobiology
L Y LiJ W Ruberti

Abstract

This paper presents a differential model of the corneal transport system capable of modelling thickness changes in response to osmotic perturbations applied to either limiting membrane. The work is directed towards understanding corneal behaviour in vivo. The model considers the coupled viscous flows within the corneal stroma and across the epithelial and endothelial membranes. The flows within the stroma are established based on transport theory in porous media, while the flows across the membranes are described using the phenomenological equations of irreversible thermodynamics. The ability of the numerical model to reproduce corneal thickness changes in response to endothelial perturbations was tested against available experimental data. The sensitivity of the model to changes in stromal and membrane transport coefficients was examined.

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Citations

Jul 28, 2013·Experimental Eye Research·Aisling Mann, Brian Tighe
Jun 18, 2009·Lab on a Chip·Young S SongUtkan Demirci
Jul 20, 2006·Journal of the Royal Society, Interface·Long-yuan Li, Brian Tighe
May 17, 2011·Annual Review of Biomedical Engineering·Jeffrey W RubertiCynthia J Roberts
Mar 14, 2012·Contact Lens & Anterior Eye : the Journal of the British Contact Lens Association·Daniel HarveyBrian Tighe
Aug 9, 2011·Progress in Retinal and Eye Research·B K LeungC J Radke

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