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Title: A mathematical model for the corneal transparency problem
Authors: Araújo, Adérito 
Barbeiro, Sílvia Alexandra Alves 
Bernardes, Rui Manuel Dias Cortesão dos Santos 
Morgado, Miguel 
Sakić, Sunčica
Keywords: Maxwell’s equations; Discontinuous Galerkin method; Low-storage explicit Runge-Kutta method; Corneal transparency; Light scattering
Issue Date: 2022
Project: UIDB/00324/2020 
Serial title, monograph or event: Journal of Mathematics in Industry
Volume: 12
Issue: 1
Abstract: Understanding the physical basis of corneal transparency has been a subject of interest amongst physicists, basic scientists and ophthalmologists. Impairment of corneal clarity is a significant cause of visual morbidity worldwide. Thus, it is essential to understand the mechanisms behind corneal transparency and how the alterations due to corneal pathologies affect vision. We use Maxwell’s equations to model light propagation in ocular tissues and a nodal discontinuous Galerkin method combined with an explicit Runge-Kutta method to simulate light propagation in normal and pathological corneas. Our simulation results illustrate that an increase in the diameter of some fibres causes an increase in backscattering. Thus, these may represent some of the physical changes in the cornea that might result in loss of transparency and visual morbidity.
ISSN: 2190-5983
DOI: 10.1186/s13362-022-00125-y
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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