{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T06:45:21Z","timestamp":1773729921654,"version":"3.50.1"},"reference-count":81,"publisher":"Oxford University Press (OUP)","issue":"19","license":[{"start":{"date-parts":[[2021,7,28]],"date-time":"2021-07-28T00:00:00Z","timestamp":1627430400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100016337","name":"Department for the Economy","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100016337","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,10,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:sec>\n                  <jats:title>Motivation<\/jats:title>\n                  <jats:p>Topological methods have recently emerged as a reliable and interpretable framework for extracting information from high-dimensional data, leading to the creation of a branch of applied mathematics called Topological Data Analysis (TDA). Since then, TDA has been progressively adopted in biomedical research. Biological data collection can result in enormous datasets, comprising thousands of features and spanning diverse datatypes. This presents a barrier to initial data analysis as the fundamental structure of the dataset becomes hidden, obstructing the discovery of important features and patterns. TDA provides a solution to obtain the underlying shape of datasets over continuous resolutions, corresponding to key topological features independent of noise. TDA has the potential to support future developments in healthcare as biomedical datasets rise in complexity and dimensionality. Previous applications extend across the fields of neuroscience, oncology, immunology and medical image analysis. TDA has been used to reveal hidden subgroups of cancer patients, construct organizational maps of brain activity and classify abnormal patterns in medical images. The utility of TDA is broad and to understand where current achievements lie, we have evaluated the present state of TDA in cancer data analysis.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Results<\/jats:title>\n                  <jats:p>This article aims to provide an overview of TDA in Cancer Research. A brief introduction to the main concepts of TDA is provided to ensure that the article is accessible to readers who are not familiar with this field. Following this, a focussed literature review on the field is presented, discussing how TDA has been applied across heterogeneous datatypes for cancer research.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1093\/bioinformatics\/btab553","type":"journal-article","created":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T11:11:01Z","timestamp":1627384261000},"page":"3091-3098","source":"Crossref","is-referenced-by-count":33,"title":["The topology of data: opportunities for cancer research"],"prefix":"10.1093","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2295-1320","authenticated-orcid":false,"given":"Ciara F","family":"Loughrey","sequence":"first","affiliation":[{"name":"School of Electronics, Electrical Engineering and Computer Science, Queen\u2019s University Belfast , Belfast, BT9 5BN, UK"}]},{"given":"Padraig","family":"Fitzpatrick","sequence":"additional","affiliation":[{"name":"School of Electronics, Electrical Engineering and Computer Science, Queen\u2019s University Belfast , Belfast, BT9 5BN, UK"}]},{"given":"Nick","family":"Orr","sequence":"additional","affiliation":[{"name":"Patrick G Johnston Centre for Cancer Research, Queen\u2019s University Belfast , Belfast, BT9 7AE, UK"}]},{"given":"Anna","family":"Jurek-Loughrey","sequence":"additional","affiliation":[{"name":"School of Electronics, Electrical Engineering and Computer Science, Queen\u2019s University Belfast , Belfast, BT9 5BN, UK"}]}],"member":"286","published-online":{"date-parts":[[2021,7,28]]},"reference":[{"key":"2023051608284036600_btab553-B1","first-page":"218","article-title":"Persistence images: a stable vector representation of persistent homology","volume":"18","author":"Adams","year":"2017","journal-title":"JMLR"},{"key":"2023051608284036600_btab553-B2","first-page":"36","article-title":"Classification of hepatic lesions using the matching metric","volume":"121","author":"Adcock","year":"2014","journal-title":"CVIU"},{"key":"2023051608284036600_btab553-B3","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1186\/s12920-015-0108-y","article-title":"From big data analysis to personalized medicine for all: challenges and opportunities","volume":"8","author":"Alyass","year":"2015","journal-title":"BMC Med. 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