dc.creator | Atienza Martínez, María Nieves | es |
dc.creator | Jiménez Rodríguez, María José | es |
dc.creator | Soriano Trigueros, Manuel | es |
dc.date.accessioned | 2022-06-24T10:26:08Z | |
dc.date.available | 2022-06-24T10:26:08Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Atienza Martínez, M.N., Jiménez Rodríguez, M.J. y Soriano Trigueros, M. (2021). Stable topological summaries for analyzing the organization of cells in a packed tissue. Mathematics, 9 (15/art. nº1723) | |
dc.identifier.issn | 2227-7390 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134659 | |
dc.description.abstract | We use topological data analysis tools for studying the inner organization of cells in
segmented images of epithelial tissues. More specifically, for each segmented image, we compute
different persistence barcodes, which codify the lifetime of homology classes (persistent homology)
along different filtrations (increasing nested sequences of simplicial complexes) that are built from
the regions representing the cells in the tissue. We use a complete and well-grounded set of numerical
variables over those persistence barcodes, also known as topological summaries. A novel combination
of normalization methods for both the set of input segmented images and the produced barcodes
allows for the proven stability results for those variables with respect to small changes in the input,
as well as invariance to image scale. Our study provides new insights to this problem, such as a
possible novel indicator for the development of the drosophila wing disc tissue or the importance of
centroids’ distribution to differentiate some tissues from their CVT-path counterpart (a mathematical
model of epithelia based on Voronoi diagrams). We also show how the use of topological summaries
may improve the classification accuracy of epithelial images using a Random Forest algorithm. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación PID2019-107339GB-I00 | es |
dc.format | application/pdf | es |
dc.format.extent | 22 | es |
dc.language.iso | eng | es |
dc.publisher | MDPI | es |
dc.relation.ispartof | Mathematics, 9 (15/art. nº1723) | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Topological data analysis | es |
dc.subject | Persistent homology | es |
dc.subject | Epithelial tissues | es |
dc.title | Stable topological summaries for analyzing the organization of cells in a packed tissue | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | PID2019-107339GB-I00 | es |
dc.relation.publisherversion | https://www.mdpi.com/2227-7390/9/15/1723 | es |
dc.identifier.doi | 10.3390/math9151723 | es |
dc.contributor.group | Universidad de Sevilla. FQM-369: Combinatorial Image Analysis | es |
dc.journaltitle | Mathematics | es |
dc.publication.volumen | 9 | es |
dc.publication.issue | 15/art. nº1723 | es |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | es |