Persistent Homology Analysis of Brain Artery Trees
New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain artery trees. A number of representations of each data tree arise from persistence diagrams that quantify branching and looping of vessels at...
Saved in:
| Published in | The annals of applied statistics Vol. 10; no. 1; p. 198 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.03.2016
|
| Subjects | |
| Online Access | Get more information |
| ISSN | 1932-6157 |
| DOI | 10.1214/15-aoas886 |
Cover
Loading…
| Abstract | New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain artery trees. A number of representations of each data tree arise from persistence diagrams that quantify branching and looping of vessels at multiple scales. Novel approaches to the statistical analysis, through various summaries of the persistence diagrams, lead to heightened correlations with covariates such as age and sex, relative to earlier analyses of this data set. The correlation with age continues to be significant even after controlling for correlations from earlier significant summaries. |
|---|---|
| AbstractList | New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain artery trees. A number of representations of each data tree arise from persistence diagrams that quantify branching and looping of vessels at multiple scales. Novel approaches to the statistical analysis, through various summaries of the persistence diagrams, lead to heightened correlations with covariates such as age and sex, relative to earlier analyses of this data set. The correlation with age continues to be significant even after controlling for correlations from earlier significant summaries. |
| Author | Pieloch, Alex Miller, Ezra Skwerer, Sean Marron, J S Bendich, Paul |
| Author_xml | – sequence: 1 givenname: Paul surname: Bendich fullname: Bendich, Paul organization: Department of Mathematics, Duke University, Durham, North Carolina 27708, USA – sequence: 2 givenname: J S surname: Marron fullname: Marron, J S organization: Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, North Carolina 27599, USA – sequence: 3 givenname: Ezra surname: Miller fullname: Miller, Ezra organization: Department of Mathematics, Duke University, Durham, North Carolina 27708, USA – sequence: 4 givenname: Alex surname: Pieloch fullname: Pieloch, Alex organization: Department of Mathematics, Duke University, Durham, North Carolina 27708, USA – sequence: 5 givenname: Sean surname: Skwerer fullname: Skwerer, Sean organization: Department of Biostatistics, Yale School of Public Health, New Haven, Connecticut 06510, USA |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/27642379$$D View this record in MEDLINE/PubMed |
| BookMark | eNo1jrtOwzAUQD0U0QcsfADyDxh8b_wcQwUtUiUYsldOYqOgxK7sMOTvQQKmI53h6GzJKqboCbkD_gAI4hEkc8kVY9SKbMBWyBRIvSbbUj45l8IIuCZr1Epgpe2G4LvPZSizjzM9pimN6WOhdXTj8mNpCvQpuyHSOs8-L7TJ3pcbchXcWPztH3ekeXlu9kd2eju87usT6wTAzJS1Qtuu0oFr59AaVKi55LoDG7hBHnwQHISpWmG16VHInrtWSum7tte4I_e_2ctXO_n-fMnD5PJy_n_HbzbOQ8Y |
| CitedBy_id | crossref_primary_10_1007_s41468_024_00165_w crossref_primary_10_1007_s41468_024_00168_7 crossref_primary_10_1073_pnas_2102166118 crossref_primary_10_1162_netn_e_00096 crossref_primary_10_1007_s11749_019_00644_8 crossref_primary_10_1109_TPAMI_2020_3013679 crossref_primary_10_3389_fnins_2023_1200373 crossref_primary_10_1007_s10278_023_00924_8 crossref_primary_10_1016_j_comgeo_2020_101623 crossref_primary_10_1090_bull_1554 crossref_primary_10_55544_ijrah_2_1_47 crossref_primary_10_1080_10618600_2022_2074427 crossref_primary_10_1007_s41468_023_00135_8 crossref_primary_10_1093_biomet_asab023 crossref_primary_10_3390_a13010011 crossref_primary_10_1088_2516_1091_accc62 crossref_primary_10_1038_s41598_024_61201_4 crossref_primary_10_1007_s10844_017_0473_4 crossref_primary_10_1093_jrsssc_qlad024 crossref_primary_10_1073_pnas_1706885114 crossref_primary_10_1214_22_BA1341 crossref_primary_10_3390_e19040172 crossref_primary_10_1051_matecconf_201820000003 crossref_primary_10_1016_j_knosys_2025_113125 crossref_primary_10_1146_annurev_statistics_031017_100045 crossref_primary_10_1371_journal_pone_0253851 crossref_primary_10_2140_involve_2019_12_823 crossref_primary_10_1080_13658816_2022_2155654 crossref_primary_10_1007_s41468_023_00160_7 crossref_primary_10_1109_TMI_2017_2774364 crossref_primary_10_1140_epjds_s13688_017_0109_5 crossref_primary_10_1088_1742_6596_1897_1_012006 crossref_primary_10_1111_sjos_12524 crossref_primary_10_1137_19M1243932 crossref_primary_10_3389_frai_2021_668302 crossref_primary_10_1007_s41468_019_00035_w crossref_primary_10_1063_5_0156500 crossref_primary_10_1007_s10711_018_0383_9 crossref_primary_10_3390_e25010024 crossref_primary_10_1080_01621459_2017_1395342 crossref_primary_10_1007_s10208_022_09567_7 crossref_primary_10_1007_s41468_022_00110_9 crossref_primary_10_3389_frai_2021_659037 crossref_primary_10_1371_journal_pone_0182184 crossref_primary_10_1002_wics_1548 crossref_primary_10_1007_s41468_021_00083_1 crossref_primary_10_1515_math_2021_0049 crossref_primary_10_1137_21M1414024 crossref_primary_10_1186_s12859_020_03659_3 crossref_primary_10_3847_1538_4357_ad26e8 crossref_primary_10_1016_j_patrec_2019_11_029 crossref_primary_10_1063_1_4978997 crossref_primary_10_1214_20_AOAS1430 crossref_primary_10_1103_PhysRevD_106_023521 crossref_primary_10_1080_10618600_2019_1573686 crossref_primary_10_1016_j_jbi_2022_104082 crossref_primary_10_1088_1361_648X_ab3820 crossref_primary_10_3389_frai_2021_681174 crossref_primary_10_1016_j_egyai_2023_100256 crossref_primary_10_1086_715078 crossref_primary_10_1016_j_media_2019_03_014 crossref_primary_10_1088_1361_6404_aae790 crossref_primary_10_1002_dvdy_175 crossref_primary_10_1007_s41468_024_00166_9 crossref_primary_10_1038_s41598_018_23424_0 crossref_primary_10_1007_s40840_020_00904_z crossref_primary_10_1080_10485252_2023_2280022 crossref_primary_10_3389_fnhum_2024_1431153 crossref_primary_10_1007_s41468_024_00200_w crossref_primary_10_1088_1361_6420_ab4ac0 crossref_primary_10_1214_15_AOAS886 crossref_primary_10_1016_j_jsc_2016_03_009 crossref_primary_10_1371_journal_pone_0225577 crossref_primary_10_1007_s00382_022_06395_x crossref_primary_10_3390_math9222924 crossref_primary_10_1109_TAES_2016_160405 crossref_primary_10_1093_biomet_asaa097 crossref_primary_10_1109_TKDE_2022_3147070 crossref_primary_10_1109_TPAMI_2024_3409834 crossref_primary_10_1016_j_physa_2024_129785 crossref_primary_10_1016_j_engstruct_2024_119088 crossref_primary_10_1016_j_jocs_2024_102290 crossref_primary_10_1088_2632_072X_ad9fca crossref_primary_10_1186_s41747_022_00312_x crossref_primary_10_3390_e25111509 crossref_primary_10_1007_s00285_017_1184_8 crossref_primary_10_1214_17_AOAS1119 crossref_primary_10_1007_s41468_019_00044_9 crossref_primary_10_1016_j_physrep_2020_05_004 crossref_primary_10_1162_netn_a_00073 crossref_primary_10_1371_journal_pone_0257215 crossref_primary_10_1016_j_mbs_2023_109056 crossref_primary_10_1007_s10208_024_09650_1 crossref_primary_10_1080_10618600_2017_1422432 crossref_primary_10_1007_s10479_019_03505_7 crossref_primary_10_1126_sciadv_abm2456 crossref_primary_10_1214_21_AOAS1536 crossref_primary_10_1038_s41467_020_17035_5 crossref_primary_10_1038_s41540_020_00160_8 crossref_primary_10_1093_bioinformatics_btac118 crossref_primary_10_3847_1538_4357_ad75fd crossref_primary_10_3390_a13090222 crossref_primary_10_1140_epjds_s13688_017_0104_x crossref_primary_10_1016_j_ijar_2021_10_012 crossref_primary_10_1137_19M1268719 crossref_primary_10_1038_s41467_022_32848_2 crossref_primary_10_1109_TPAMI_2024_3451328 crossref_primary_10_1007_s10444_021_09893_4 crossref_primary_10_3389_frai_2021_681117 crossref_primary_10_3389_fnins_2024_1434444 crossref_primary_10_1007_s11401_021_0255_8 crossref_primary_10_1007_s13171_018_0137_7 crossref_primary_10_21105_joss_00925 crossref_primary_10_1371_journal_pcbi_1009094 crossref_primary_10_1007_s10851_016_0680_6 crossref_primary_10_1270_jsbbs_21078 crossref_primary_10_1007_s41468_020_00048_w crossref_primary_10_1214_22_AOAS1633 crossref_primary_10_1093_bioinformatics_btab553 crossref_primary_10_1016_j_jbusres_2023_114410 crossref_primary_10_1016_j_ascom_2019_02_003 crossref_primary_10_1016_j_egyai_2025_100495 crossref_primary_10_1111_rssc_12463 crossref_primary_10_1002_mma_5313 crossref_primary_10_1371_journal_pcbi_1010341 crossref_primary_10_1137_22M1543082 crossref_primary_10_1007_s10208_019_09442_y |
| ContentType | Journal Article |
| DBID | NPM |
| DOI | 10.1214/15-aoas886 |
| DatabaseName | PubMed |
| DatabaseTitle | PubMed |
| DatabaseTitleList | PubMed |
| Database_xml | – sequence: 1 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database |
| DeliveryMethod | no_fulltext_linktorsrc |
| Discipline | Mathematics |
| ExternalDocumentID | 27642379 |
| Genre | Journal Article |
| GrantInformation_xml | – fundername: NIMH NIH HHS grantid: T32 MH014235 |
| GroupedDBID | 123 23M 2AX 6J9 AAWIL ABAWQ ABBHK ABFAN ABQDR ABXSQ ABYWD ABZEH ACDIW ACGFO ACHJO ACMTB ACTMH ADODI ADULT AELLO AENEX AETVE AEUPB AFFOW AFVYC AGLNM AIHAF AKBRZ ALMA_UNASSIGNED_HOLDINGS ALRMG AS~ CS3 DQDLB DSRWC EBS ECEWR EJD F5P FEDTE GIFXF GR0 HDK HQ6 HVGLF IPSME J9A JAA JAAYA JBMMH JBZCM JENOY JHFFW JKQEH JLEZI JLXEF JMS JPL JST NPM OK1 P2P PUASD RBU RNS RPE SA0 SJN TN5 WHG WS9 |
| ID | FETCH-LOGICAL-c411t-699479c37f07aa29826270507c19f0820fef401483b4978d245d0ab555ecbd72 |
| ISSN | 1932-6157 |
| IngestDate | Thu Apr 03 07:09:04 EDT 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Persistent homology tree-structured data angiography topological data analysis statistics |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c411t-699479c37f07aa29826270507c19f0820fef401483b4978d245d0ab555ecbd72 |
| OpenAccessLink | http://doi.org/10.1214/15-AOAS886 |
| PMID | 27642379 |
| ParticipantIDs | pubmed_primary_27642379 |
| PublicationCentury | 2000 |
| PublicationDate | 2016-03-01 |
| PublicationDateYYYYMMDD | 2016-03-01 |
| PublicationDate_xml | – month: 03 year: 2016 text: 2016-03-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | United States |
| PublicationPlace_xml | – name: United States |
| PublicationTitle | The annals of applied statistics |
| PublicationTitleAlternate | Ann Appl Stat |
| PublicationYear | 2016 |
| References | 18471935 - Neurobiol Aging. 2010 Feb;31(2):290-300 11929106 - IEEE Trans Med Imaging. 2002 Feb;21(2):61-75 23267202 - IEEE Trans Pattern Anal Mach Intell. 2013 Aug;35(8):2008-21 25333187 - Med Image Comput Comput Assist Interv. 2014;17 (Pt 1):755-62 23727319 - Neuroimage. 2013 Nov 15;82:170-81 25346588 - J Comput Graph Stat. 2014;23(2):418-438 |
| References_xml | – reference: 25333187 - Med Image Comput Comput Assist Interv. 2014;17 (Pt 1):755-62 – reference: 25346588 - J Comput Graph Stat. 2014;23(2):418-438 – reference: 11929106 - IEEE Trans Med Imaging. 2002 Feb;21(2):61-75 – reference: 23267202 - IEEE Trans Pattern Anal Mach Intell. 2013 Aug;35(8):2008-21 – reference: 23727319 - Neuroimage. 2013 Nov 15;82:170-81 – reference: 18471935 - Neurobiol Aging. 2010 Feb;31(2):290-300 |
| SSID | ssj0054841 |
| Score | 2.5424013 |
| Snippet | New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain... |
| SourceID | pubmed |
| SourceType | Index Database |
| StartPage | 198 |
| Title | Persistent Homology Analysis of Brain Artery Trees |
| URI | https://www.ncbi.nlm.nih.gov/pubmed/27642379 |
| Volume | 10 |
| hasFullText | |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEF6sXvQgvt-Sg7cSbTa72e5RpVKEiocIvZXdZIMVTEqbi_31zmTzKK3i4xJCloQk38fszDDzDSFXnvCZ1BpikwRFtWFTdWUkPZd2OVVwB1Mc-50HT0H_hT0O-bARVCi6S3J9Hc2_7Cv5D6pwDXDFLtk_IFs_FC7AOeALR0AYjr_CGMvXEaY0b_ezd6umtKgycofzHzD_bqYf7XBqynrBt4YhqtZPVqU7ih1GVry5jtRNGo-j1TpClG-0nR1N_rRpLezNp7XFfx4b2DNfq4aaxUyDFzSlVqVxBF8PQk0rKF1bz84KS6wp9Ox06RUTTT2G2QLuqkzNulYHewGryXsBFhUBFuzIn1eX5LKrpRZpQeCAk1AxfWO3ZojOilGm9YeUerXwSjfNC6E-dPmQpVij8DnCHbJdBgvOrUV-l6yZdI9sDWql3dk-oQ0HnIoDTsUBJ0ucggOO5YBTcOCAhA-98L7vlnMw3Ih5Xu4GUjIhI18kHaEUlRARUtEBRz7yZIIuXGIShplhX-O8wJgyHneU5pybSMeCHpL1NEvNMXGkkQFPuA5ipiCw95Xq-uCeaCY410bJE3Jkv3c0sVono-pPnH67ckY2G7Kck40EaGsuwFPL9WXx9z8BXcY6Sg |
| linkProvider | National Library of Medicine |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Persistent+Homology+Analysis+of+Brain+Artery+Trees&rft.jtitle=The+annals+of+applied+statistics&rft.au=Bendich%2C+Paul&rft.au=Marron%2C+J+S&rft.au=Miller%2C+Ezra&rft.au=Pieloch%2C+Alex&rft.date=2016-03-01&rft.issn=1932-6157&rft.volume=10&rft.issue=1&rft.spage=198&rft_id=info:doi/10.1214%2F15-aoas886&rft_id=info%3Apmid%2F27642379&rft_id=info%3Apmid%2F27642379&rft.externalDocID=27642379 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1932-6157&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1932-6157&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1932-6157&client=summon |