Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/100487
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dc.contributor.authorAraújo, Adérito-
dc.contributor.authorBarbeiro, Sílvia Alexandra Alves-
dc.contributor.authorBernardes, Rui Manuel Dias Cortesão dos Santos-
dc.contributor.authorMorgado, Miguel-
dc.contributor.authorSakić, Sunčica-
dc.date.accessioned2022-06-23T11:50:28Z-
dc.date.available2022-06-23T11:50:28Z-
dc.date.issued2022-
dc.identifier.issn2190-5983pt
dc.identifier.urihttp://hdl.handle.net/10316/100487-
dc.description.abstractUnderstanding 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.pt
dc.language.isoengpt
dc.relationUIDB/00324/2020pt
dc.relationPTDC/MAT-APL/28118/2017pt
dc.relationPOCI-01-0145-FEDER-028118pt
dc.rightsopenAccesspt
dc.subjectMaxwell’s equationspt
dc.subjectDiscontinuous Galerkin methodpt
dc.subjectLow-storage explicit Runge-Kutta methodpt
dc.subjectCorneal transparencypt
dc.subjectLight scatteringpt
dc.titleA mathematical model for the corneal transparency problempt
dc.typearticle-
degois.publication.issue1pt
degois.publication.titleJournal of Mathematics in Industrypt
dc.peerreviewedyespt
dc.identifier.doi10.1186/s13362-022-00125-ypt
degois.publication.volume12pt
dc.date.embargo2022-01-01*
uc.date.periodoEmbargo0pt
item.grantfulltextopen-
item.fulltextCom Texto completo-
item.openairetypearticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.languageiso639-1en-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.researchunitCIBIT - Coimbra Institute for Biomedical Imaging and Translational Research-
crisitem.author.orcid0000-0002-9873-5974-
crisitem.author.orcid0000-0002-2651-5083-
crisitem.author.orcid0000-0002-6677-2754-
Appears in Collections:FCTUC Física - Artigos em Revistas Internacionais
I&D CIBIT - Artigos em Revistas Internacionais
I&D CMUC - Artigos em Revistas Internacionais
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