{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T14:52:45Z","timestamp":1747147965154,"version":"3.40.5"},"reference-count":32,"publisher":"Wiley","issue":"8","license":[{"start":{"date-parts":[[2021,5,6]],"date-time":"2021-05-06T00:00:00Z","timestamp":1620259200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Diagnostic Cytopathology"],"published-print":{"date-parts":[[2021,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:sec><jats:title>Background<\/jats:title><jats:p>the measurement of the spaces of occupation of irregular objects in the context of fractal geometry has had some applications at a cellular morphometric level, where characterizations of normality and disease have been established. The objective of the present study is to apply a fractal methodology to characterize images from cervical colposcopy.<\/jats:p><\/jats:sec><jats:sec><jats:title>Materials and methods<\/jats:title><jats:p>a mathematical and geometrical characterization of 67 cell samples was performed by measuring cellular fractal characteristics through the Box\u2010Counting method, being nine normal, eight low\u2010intraepithelial lesions, 16 high\u2010intraepithelial lesions, eight carcinomas in situ, 20 squamous cell carcinomas and six endocervical carcinomas.<\/jats:p><\/jats:sec><jats:sec><jats:title>Results<\/jats:title><jats:p>the values of fractal dimension of the nuclear and cytoplasmic borders with respect to the totality varied between 0.719 to 1128 and 0.81 to 1024 while the occupation spaces in the 2 pixels grid were between 293 to 1606 and 64 to 693 respectively and in the 4 pixels grid oscillated between 153 to 894 and 36 to 361, respectively. Exocervical cells values had sensitivities between 78.3% to 100% in order to differentiate them from different types of cervical lesions.<\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusions<\/jats:title><jats:p>according to the results obtained, the mathematical values found are suggestive of being able to differentiate between normality and some colposcopy\u2010guided cervical biopsy lesions.<\/jats:p><\/jats:sec>","DOI":"10.1002\/dc.24762","type":"journal-article","created":{"date-parts":[[2021,5,7]],"date-time":"2021-05-07T06:51:41Z","timestamp":1620370301000},"page":"938-943","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Fractal geometry applied to the analysis of cervix biopsy"],"prefix":"10.1002","volume":"49","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4585-3010","authenticated-orcid":false,"given":"Javier Oswaldo","family":"Rodr\u00edguez\u2010Vel\u00e1squez","sequence":"first","affiliation":[{"name":"Insight Group Asociaci\u00f3n Colombiana de Neurocirug\u00eda  Bogot\u00e1 Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0990-1679","authenticated-orcid":false,"given":"Freddy Andr\u00e9s","family":"Barrios\u2010Arroyave","sequence":"additional","affiliation":[{"name":"GISCO Group. Faculty of Medicine Fundaci\u00f3n Universitaria Aut\u00f3noma de las Am\u00e9ricas  Pereira Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4998-1228","authenticated-orcid":false,"given":"Sandra Catalina","family":"Correa\u2010Herrera","sequence":"additional","affiliation":[{"name":"Insight Group Asociaci\u00f3n Colombiana de Neurocirug\u00eda  Bogot\u00e1 Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8751-065X","authenticated-orcid":false,"given":"Carlos Evelio","family":"Grisales\u2010Guti\u00e9rrez","sequence":"additional","affiliation":[{"name":"GISCO Group. 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Faculty of Medicine Fundaci\u00f3n Universitaria Aut\u00f3noma de las Am\u00e9ricas  Pereira Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,5,6]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_9_2_1","DOI":"10.1038\/scientificamerican0290-42"},{"key":"e_1_2_9_3_1","first-page":"468","volume-title":"The Fractal Geometry of Nature","author":"Mandelbrot B","year":"1982"},{"key":"e_1_2_9_4_1","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1007\/978-1-4757-4740-9","volume-title":"Chaos and Fractals: New Frontiers of Science","author":"Peitgen H","year":"1992"},{"unstructured":"Pan American Health Organization. Cervical Cancer.2018https:\/\/www.paho.org\/hq\/index.php?option=com_content&view=article&id=5420:2018-cervical-cancer&Itemid=3637&lang=en.","key":"e_1_2_9_5_1"},{"unstructured":"Instituto Nacional de Cancerolog\u00eda. 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