A mathematical approach to human pterygium shape

Bojan Pajic,1–4 Iraklis Vastardis,1 Predrag Rajkovic,5 Brigitte Pajic-Eggspuehler,1 Daniel M Aebersold,6 Zeljka Cvejic2 1Eye Clinic ORASIS, Swiss Eye Research Foundation, Reinach AG, Switzerland; 2Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad,3Faculty of Med...

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Autores principales:	Pajic B, Vastardis I, Rajkovic P, Pajic-Eggspuehler B, Aebersold DM, Cvejic Z
Formato:	article
Lenguaje:	EN
Publicado:	Dove Medical Press 2016
Materias:	Aetiology Pterygium limbal stem cells stem cells dysfunction mathematical shape analysis Ophthalmology RE1-994
Acceso en línea:	https://doaj.org/article/1a9eadc2cdc94d6d8fd311573d0da299
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spelling	oai:doaj.org-article:1a9eadc2cdc94d6d8fd311573d0da2992021-12-02T01:47:22ZA mathematical approach to human pterygium shape1177-5483https://doaj.org/article/1a9eadc2cdc94d6d8fd311573d0da2992016-07-01T00:00:00Zhttps://www.dovepress.com/a-mathematical-approach-to-human-pterygium-shape-peer-reviewed-article-OPTHhttps://doaj.org/toc/1177-5483Bojan Pajic,1–4 Iraklis Vastardis,1 Predrag Rajkovic,5 Brigitte Pajic-Eggspuehler,1 Daniel M Aebersold,6 Zeljka Cvejic2 1Eye Clinic ORASIS, Swiss Eye Research Foundation, Reinach AG, Switzerland; 2Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad,3Faculty of Medicine of the Military Medical Academy, University of Defence, Belgrade, Serbia; 4Division of Ophthalmology, Department of Clinical Neurosciences, Geneva University Hospitals, Geneva, Switzerland; 5Department of Mathematics, Faculty of Mechanical Engineering, University of Ni&scaron;, Ni&scaron;, Serbia; 6Department of Radiation Oncology, Inselspital, Bern University Hospital, Bern, Switzerland 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. Keywords: etiology, pterygium, limbal stem cells, stem cells dysfunction, mathematical shape analysisPajic BVastardis IRajkovic PPajic-Eggspuehler BAebersold DMCvejic ZDove Medical PressarticleAetiology Pterygiumlimbal stem cellsstem cells dysfunctionmathematical shape analysisOphthalmologyRE1-994ENClinical Ophthalmology, Vol 2016, Iss Issue 1, Pp 1343-1349 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	Aetiology Pterygium limbal stem cells stem cells dysfunction mathematical shape analysis Ophthalmology RE1-994
spellingShingle	Aetiology Pterygium limbal stem cells stem cells dysfunction mathematical shape analysis Ophthalmology RE1-994 Pajic B Vastardis I Rajkovic P Pajic-Eggspuehler B Aebersold DM Cvejic Z A mathematical approach to human pterygium shape
description	Bojan Pajic,1–4 Iraklis Vastardis,1 Predrag Rajkovic,5 Brigitte Pajic-Eggspuehler,1 Daniel M Aebersold,6 Zeljka Cvejic2 1Eye Clinic ORASIS, Swiss Eye Research Foundation, Reinach AG, Switzerland; 2Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad,3Faculty of Medicine of the Military Medical Academy, University of Defence, Belgrade, Serbia; 4Division of Ophthalmology, Department of Clinical Neurosciences, Geneva University Hospitals, Geneva, Switzerland; 5Department of Mathematics, Faculty of Mechanical Engineering, University of Ni&scaron;, Ni&scaron;, Serbia; 6Department of Radiation Oncology, Inselspital, Bern University Hospital, Bern, Switzerland 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. Keywords: etiology, pterygium, limbal stem cells, stem cells dysfunction, mathematical shape analysis
format	article
author	Pajic B Vastardis I Rajkovic P Pajic-Eggspuehler B Aebersold DM Cvejic Z
author_facet	Pajic B Vastardis I Rajkovic P Pajic-Eggspuehler B Aebersold DM Cvejic Z
author_sort	Pajic B
title	A mathematical approach to human pterygium shape
title_short	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_sort	mathematical approach to human pterygium shape
publisher	Dove Medical Press
publishDate	2016
url	https://doaj.org/article/1a9eadc2cdc94d6d8fd311573d0da299
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A mathematical approach to human pterygium shape

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