{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T03:39:19Z","timestamp":1777520359456,"version":"3.51.4"},"reference-count":36,"publisher":"MDPI AG","issue":"20","license":[{"start":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T00:00:00Z","timestamp":1697760000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"MCIN\/AEI\/10.13039\/501100011033","award":["PID2019-110455GB-I00"],"award-info":[{"award-number":["PID2019-110455GB-I00"]}]},{"name":"MCIN\/AEI\/10.13039\/501100011033","award":["US-1381077"],"award-info":[{"award-number":["US-1381077"]}]},{"name":"Feder Funds","award":["PID2019-110455GB-I00"],"award-info":[{"award-number":["PID2019-110455GB-I00"]}]},{"name":"Feder Funds","award":["US-1381077"],"award-info":[{"award-number":["US-1381077"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The purpose of this work is to advance in the computational study of connectome graphs from a topological point of view. Specifically, starting from a sequence of hypergraphs associated to a brain graph (obtained using the Boundary Scale model, BS2), we analyze the resulting scale-space representation using classical topological features, such as Betti numbers and average node and edge degrees. In this way, the topological information that can be extracted from the original graph is substantially enriched, thus providing an insightful description of the graph from a clinical perspective. To assess the qualitative and quantitative topological information gain of the BS2 model, we carried out an empirical analysis of neuroimaging data using a dataset that contains the connectomes of 96 healthy subjects, 52 women and 44 men, generated from MRI scans in the Human Connectome Project. The results obtained shed light on the differences between these two classes of subjects in terms of neural connectivity.<\/jats:p>","DOI":"10.3390\/s23208607","type":"journal-article","created":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T11:53:56Z","timestamp":1697802836000},"page":"8607","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Analysis of Connectome Graphs Based on Boundary Scale"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3291-7297","authenticated-orcid":false,"given":"Mar\u00eda Jos\u00e9","family":"Moron-Fern\u00e1ndez","sequence":"first","affiliation":[{"name":"Higher Technical School of Informatics Engineering, University of Seville, Avda. Reina Mercedes, s\/n, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ludovica Maria","family":"Amedeo","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, \u201cSapienza\u201d University of Rome, Via Eudossiana, 18, 00184 Rome, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0790-4160","authenticated-orcid":false,"given":"Alberto","family":"Monterroso Mu\u00f1oz","sequence":"additional","affiliation":[{"name":"Higher Technical School of Informatics Engineering, University of Seville, Avda. Reina Mercedes, s\/n, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Helena","family":"Molina-Abril","sequence":"additional","affiliation":[{"name":"Higher Technical School of Informatics Engineering, University of Seville, Avda. Reina Mercedes, s\/n, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6184-1629","authenticated-orcid":false,"given":"Fernando","family":"D\u00edaz-del-R\u00edo","sequence":"additional","affiliation":[{"name":"Higher Technical School of Informatics Engineering, University of Seville, Avda. Reina Mercedes, s\/n, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5641-1189","authenticated-orcid":false,"given":"Fabiano","family":"Bini","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, \u201cSapienza\u201d University of Rome, Via Eudossiana, 18, 00184 Rome, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Franco","family":"Marinozzi","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, \u201cSapienza\u201d University of Rome, Via Eudossiana, 18, 00184 Rome, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6853-0505","authenticated-orcid":false,"given":"Pedro","family":"Real","sequence":"additional","affiliation":[{"name":"Higher Technical School of Informatics Engineering, University of Seville, Avda. 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Neurosci."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Sporns, O., Tononi, G., and K\u00f6tter, R. (2005). The Human Connectome: A Structural Description of the Human Brain. PLoS Comput. Biol., 1.","DOI":"10.1371\/journal.pcbi.0010042"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2317","DOI":"10.1016\/j.clinph.2007.08.010","article-title":"The application of graph theoretical analysis to complex networks in the brain","volume":"118","author":"Reijneveld","year":"2007","journal-title":"Clin. Neurophysiol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1038\/nrn2575","article-title":"Complex brain networks: Graph theoretical analysis of structural and functional systems","volume":"10","author":"Bullmore","year":"2009","journal-title":"Nat. Rev. Neurosci."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Kuang, L., Gao, Y., Chen, Z., Xing, J., Xiong, F., and Han, X. (2020). White Matter Brain Network Research in Alzheimer\u2019s Disease Using Persistent Features. Molecules, 25.","DOI":"10.3390\/molecules25112472"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10827-016-0608-6","article-title":"Two\u2019s company, three (or more) is a simplex: Algebraic-topological tools for understanding higher-order structure in neural data","volume":"41","author":"Giusti","year":"2016","journal-title":"J. Comput. Neurosci."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"901","DOI":"10.1016\/j.neuroimage.2013.07.045","article-title":"Normalization of similarity-based individual brain networks from gray matter MRI and its association with neurodevelopment in infants with intrauterine growth restriction","volume":"83","author":"Batalle","year":"2013","journal-title":"NeuroImage"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"7456","DOI":"10.1073\/pnas.1324118111","article-title":"Rich-club organization of the newborn human brain","volume":"111","author":"Ball","year":"2014","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1001\/jamapsychiatry.2013.3469","article-title":"Disruption of Cortical Association Networks in Schizophrenia and Psychotic Bipolar Disorder","volume":"71","author":"Baker","year":"2014","journal-title":"JAMA Psychiatry"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.biopsych.2014.02.010","article-title":"Abnormal Cortical Growth in Schizophrenia Targets Normative Modules of Synchronized Development","volume":"76","author":"Reiss","year":"2014","journal-title":"Biol. Psychiatry"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2646","DOI":"10.1016\/j.neurobiolaging.2014.05.017","article-title":"Disrupted brain connectome in semantic variant of primary progressive aphasia","volume":"35","author":"Agosta","year":"2014","journal-title":"Neurobiol. Aging"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1016\/j.patrec.2020.02.028","article-title":"Generating (co)homological information using boundary scale","volume":"133","author":"Real","year":"2020","journal-title":"Pattern Recognit. Lett."},{"key":"ref_15","unstructured":"Molina-Abril, H., Mor\u00f3n-Fern\u00e1ndez, M., Benito-Marim\u00f3n, M., D\u00edaz-del R\u00edo, F., and Real, P. (2023). Topological Scales for Hypergraphs. Found. Comput. Math., submitted."},{"key":"ref_16","unstructured":"Fornito, A., Zalesky, A., and Bullmore, E. (2016). Fundamentals of Brain Network Analysis, Academic Press."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1016\/j.neuroimage.2013.05.074","article-title":"The Human Connectome Project and beyond: Initial applications of 300 mT\/m gradients","volume":"80","author":"McNab","year":"2013","journal-title":"Neuroimage"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1177\/1073858410386492","article-title":"Brain Connectivity: Gender Makes a Difference","volume":"17","author":"Gong","year":"2011","journal-title":"Neuroscientist"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1765","DOI":"10.1002\/hbm.23950","article-title":"Functional connectivity predicts gender: Evidence for gender differences in resting brain connectivity","volume":"39","author":"Zhang","year":"2018","journal-title":"Hum. Brain Mapp."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1002\/hbm.21252","article-title":"Gender differences in brain functional connectivity density","volume":"33","author":"Tomasi","year":"2012","journal-title":"Hum. Brain Mapp."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Szalkai, B., Varga, B., and Grolmusz, V. (2015). Graph Theoretical Analysis Reveals: Women\u2019s Brains Are Better Connected than Men\u2019s. PLoS ONE, 10.","DOI":"10.1371\/journal.pone.0130045"},{"key":"ref_22","unstructured":"Munkres, J. (1984). Elements of Algebraic Topology, Addison Wesley."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2020.05.004","article-title":"Networks beyond pairwise interactions: Structure and dynamics","volume":"874","author":"Battiston","year":"2020","journal-title":"Phys. Rep."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Daducci, A., Gerhard, S., Griffa, A., Lemkaddem, A., Cammoun, L., Gigandet, X., Meuli, R., Hagmann, P., and Thiran, J.P. (2012). The Connectome Mapper: An Open-Source Processing Pipeline to Map Connectomes with MRI. PLoS ONE, 7.","DOI":"10.1371\/journal.pone.0048121"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Kerepesi, C., Szalkai, B., Varga, B., and Grolmusz, V. (2016). How to Direct the Edges of the Connectomes: Dynamics of the Consensus Connectomes and the Development of the Connections in the Human Brain. PLoS ONE, 11.","DOI":"10.1371\/journal.pone.0158680"},{"key":"ref_26","unstructured":"Kerepesi, C., Varga, B., Szalkai, B., and Grolmusz, V. (2016). The Dorsal Striatum and the Dynamics of the Consensus Connectomes in the Frontal Lobe of the Human Brain. arXiv."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1007\/s11571-017-9445-1","article-title":"The braingraph.org database of high resolution structural connectomes and the brain graph tools","volume":"11","author":"Kerepesi","year":"2017","journal-title":"Cogn. Neurodynamics"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0169-7439(89)80095-4","article-title":"Analysis of variance (ANOVA)","volume":"6","author":"Wold","year":"1989","journal-title":"Chemom. Intell. Lab. Syst."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1111\/j.1467-842X.1986.tb00603.x","article-title":"On Levene\u2019s tests of variance homogeneity","volume":"28","author":"Yitnosumarto","year":"1986","journal-title":"Aust. J. Stat."},{"key":"ref_30","unstructured":"Berger, V.W., and Zhou, Y. (2014). Wiley Statsref: Statistics Reference Online, Wiley."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1093\/biomet\/38.3-4.330","article-title":"On the Comparison of Several Mean Values: An Alternative Approach","volume":"38","author":"Welch","year":"1951","journal-title":"Biometrika"},{"key":"ref_32","unstructured":"McKnight, P.E., and Najab, J. (2010). The Corsini Encyclopedia of Psychology, John Wiley & Sons, Ltd."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1186\/cc1820","article-title":"Statistics review 6: Nonparametric methods","volume":"6","author":"Whitley","year":"2002","journal-title":"Crit. Care"},{"key":"ref_34","unstructured":"Cox, D.R., and Oakes, D. (1984). Analysis of Survival Data, CRC Press."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Pasini, G., Bini, F., Russo, G., Comelli, A., Marinozzi, F., and Stefano, A. (2022). matRadiomics: A Novel and Complete Radiomics Framework, from Image Visualization to Predictive Model. J. Imaging, 8.","DOI":"10.3390\/jimaging8080221"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.1016\/j.csbj.2020.05.017","article-title":"Constructing knowledge graphs and their biomedical applications","volume":"18","author":"Nicholson","year":"2020","journal-title":"Comput. Struct. Biotechnol. J."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/20\/8607\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:09:17Z","timestamp":1760130557000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/20\/8607"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,20]]},"references-count":36,"journal-issue":{"issue":"20","published-online":{"date-parts":[[2023,10]]}},"alternative-id":["s23208607"],"URL":"https:\/\/doi.org\/10.3390\/s23208607","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,20]]}}}