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A mathematical approach to human pterygium shape

PURPOSE: Pterygium is a common lesion affecting the population in countries with high levels of ultraviolet exposure. The final shape of a pterygium is the result of a growth pattern, which remains poorly understood. This manuscript provides a mathematical analysis as a tool to determine the shape o...

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Autores principales: Pajic, Bojan, Vastardis, Iraklis, Rajkovic, Predrag, Pajic-Eggspuehler, Brigitte, Aebersold, Daniel M, Cvejic, Zeljka
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Dove Medical Press 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4969044/
https://www.ncbi.nlm.nih.gov/pubmed/27555741
http://dx.doi.org/10.2147/OPTH.S106611
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author Pajic, Bojan
Vastardis, Iraklis
Rajkovic, Predrag
Pajic-Eggspuehler, Brigitte
Aebersold, Daniel M
Cvejic, Zeljka
author_facet Pajic, Bojan
Vastardis, Iraklis
Rajkovic, Predrag
Pajic-Eggspuehler, Brigitte
Aebersold, Daniel M
Cvejic, Zeljka
author_sort Pajic, Bojan
collection PubMed
description PURPOSE: Pterygium is a common lesion affecting the population in countries with high levels of ultraviolet exposure. The final shape of a pterygium is the result of a growth pattern, which remains poorly understood. This manuscript provides a mathematical analysis as a tool to determine the shape of human pterygia. MATERIALS AND METHODS: Eighteen patients, all affected by nasal unilateral pterygia, were randomly selected from our patient database independently of sex, origin, or race. We included all primary or recurrent pterygia with signs of proliferation, dry eye, and induction of astigmatism. Pseudopterygia were excluded from this study. Pterygia were outlined and analyzed mathematically using a Cartesian coordinate system with two axes (X, Y) and five accurate landmarks of the pterygium. RESULTS: In 13 patients (72%), the shape of the pterygia was hyperbolic and in five patients (28%), the shape was rather elliptical. CONCLUSION: This analysis gives a highly accurate mathematical description of the shape of human pterygia. This might help to better assess the clinical results and outcome of the great variety of therapeutic approaches concerning these lesions.
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spelling pubmed-49690442016-08-23 A mathematical approach to human pterygium shape Pajic, Bojan Vastardis, Iraklis Rajkovic, Predrag Pajic-Eggspuehler, Brigitte Aebersold, Daniel M Cvejic, Zeljka Clin Ophthalmol Original Research PURPOSE: Pterygium is a common lesion affecting the population in countries with high levels of ultraviolet exposure. The final shape of a pterygium is the result of a growth pattern, which remains poorly understood. This manuscript provides a mathematical analysis as a tool to determine the shape of human pterygia. MATERIALS AND METHODS: Eighteen patients, all affected by nasal unilateral pterygia, were randomly selected from our patient database independently of sex, origin, or race. We included all primary or recurrent pterygia with signs of proliferation, dry eye, and induction of astigmatism. Pseudopterygia were excluded from this study. Pterygia were outlined and analyzed mathematically using a Cartesian coordinate system with two axes (X, Y) and five accurate landmarks of the pterygium. RESULTS: In 13 patients (72%), the shape of the pterygia was hyperbolic and in five patients (28%), the shape was rather elliptical. CONCLUSION: This analysis gives a highly accurate mathematical description of the shape of human pterygia. This might help to better assess the clinical results and outcome of the great variety of therapeutic approaches concerning these lesions. Dove Medical Press 2016-07-22 /pmc/articles/PMC4969044/ /pubmed/27555741 http://dx.doi.org/10.2147/OPTH.S106611 Text en © 2016 Pajic et al. This work is published and licensed by Dove Medical Press Limited The full terms of this license are available at https://www.dovepress.com/terms.php and incorporate the Creative Commons Attribution – Non Commercial (unported, v3.0) License (http://creativecommons.org/licenses/by-nc/3.0/). By accessing the work you hereby accept the Terms. Non-commercial uses of the work are permitted without any further permission from Dove Medical Press Limited, provided the work is properly attributed.
spellingShingle Original Research
Pajic, Bojan
Vastardis, Iraklis
Rajkovic, Predrag
Pajic-Eggspuehler, Brigitte
Aebersold, Daniel M
Cvejic, Zeljka
A mathematical approach to human pterygium shape
title A mathematical approach to human pterygium shape
title_full A mathematical approach to human pterygium shape
title_fullStr A mathematical approach to human pterygium shape
title_full_unstemmed A mathematical approach to human pterygium shape
title_short A mathematical approach to human pterygium shape
title_sort mathematical approach to human pterygium shape
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4969044/
https://www.ncbi.nlm.nih.gov/pubmed/27555741
http://dx.doi.org/10.2147/OPTH.S106611
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