{"id":"https://openalex.org/W4395684318","doi":"https://doi.org/10.1007/s41468-024-00168-7","title":"Brain chains as topological signatures for Alzheimer\u2019s disease","display_name":"Brain chains as topological signatures for Alzheimer\u2019s disease","publication_year":2024,"publication_date":"2024-04-26","ids":{"openalex":"https://openalex.org/W4395684318","doi":"https://doi.org/10.1007/s41468-024-00168-7"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-024-00168-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41468-024-00168-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-024-00168-7.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s41468-024-00168-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081936789","display_name":"Christian Goodbrake","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Christian Goodbrake","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, UK","Willerson Center for Cardiovascular Modeling and Simulation, Oden Institute, The University of Texas at Austin, Austin, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Willerson Center for Cardiovascular Modeling and Simulation, Oden Institute, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048445973","display_name":"David R. Beers","orcid":"https://orcid.org/0000-0002-8757-3500"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David Beers","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011952233","display_name":"Travis Thompson","orcid":"https://orcid.org/0000-0001-8696-4115"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Travis B. Thompson","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA","Mathematical Institute, University of Oxford, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060903723","display_name":"Heather A. Harrington","orcid":"https://orcid.org/0000-0002-1705-7869"},"institutions":[{"id":"https://openalex.org/I1336263701","display_name":"Centre for Human Genetics","ror":"https://ror.org/01rjnta51","country_code":"GB","type":"facility","lineage":["https://openalex.org/I1336263701","https://openalex.org/I40120149"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Heather A. Harrington","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, UK","Wellcome Centre for Human Genetics, University of Oxford, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Wellcome Centre for Human Genetics, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I1336263701","https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007417082","display_name":"Alain Goriely","orcid":"https://orcid.org/0000-0002-6436-8483"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alain Goriely","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, UK"],"raw_orcid":"https://orcid.org/0000-0002-6436-8483","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5081936789"],"corresponding_institution_ids":["https://openalex.org/I40120149","https://openalex.org/I86519309"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":0.6633,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70018773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"8","issue":"5","first_page":"1257","last_page":"1298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10086","display_name":"Alzheimer's disease research and treatments","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.669312059879303},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.6481771469116211},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5788069367408752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5633031129837036},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.42051804065704346},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41550254821777344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3843424320220947},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3726251721382141},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11472386121749878}],"concepts":[{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.669312059879303},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.6481771469116211},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5788069367408752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5633031129837036},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.42051804065704346},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41550254821777344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3843424320220947},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3726251721382141},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11472386121749878}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s41468-024-00168-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41468-024-00168-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-024-00168-7.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s41468-024-00168-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41468-024-00168-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-024-00168-7.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1132496359","display_name":"Application driven Topological Data Analysis","funder_award_id":"EP/R018472/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1217933259","display_name":null,"funder_award_id":"EP/R005125/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1821905852","display_name":"RS Fellow - EPSRC grant (2016): Algebraic and topological approaches for genomic data in molecular biology","funder_award_id":"EP/R005125/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4611696673","display_name":null,"funder_award_id":"1F32HL162423-01","funder_id":"https://openalex.org/F4320319990","funder_display_name":"National Institute for Health and Care Research"},{"id":"https://openalex.org/G6066696820","display_name":null,"funder_award_id":"EP/R018472/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6301777242","display_name":"Multiscale modelling and mathematical methods for brain development, trauma, and diseases","funder_award_id":"EP/R020205/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7226311957","display_name":"Capacity building in Africa via technology-driven research in algebraic and arithmetic geometry","funder_award_id":"EP/T001968/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7443811743","display_name":null,"funder_award_id":"R020205/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8187112237","display_name":null,"funder_award_id":"EP/R020205/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320318896","display_name":"Emerson Collective","ror":null},{"id":"https://openalex.org/F4320319990","display_name":"National Institute for Health and Care Research","ror":"https://ror.org/0187kwz08"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4395684318.pdf","grobid_xml":"https://content.openalex.org/works/W4395684318.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1647477612","https://openalex.org/W1753705553","https://openalex.org/W1830471444","https://openalex.org/W1971421925","https://openalex.org/W1993571512","https://openalex.org/W2028891720","https://openalex.org/W2034147064","https://openalex.org/W2036621153","https://openalex.org/W2039508316","https://openalex.org/W2045426033","https://openalex.org/W2052742260","https://openalex.org/W2075444764","https://openalex.org/W2089691915","https://openalex.org/W2101135654","https://openalex.org/W2129823286","https://openalex.org/W2151721316","https://openalex.org/W2151936673","https://openalex.org/W2153767444","https://openalex.org/W2154600934","https://openalex.org/W2324660492","https://openalex.org/W2473213421","https://openalex.org/W2529313273","https://openalex.org/W2558157009","https://openalex.org/W2661943299","https://openalex.org/W2761733590","https://openalex.org/W2796022617","https://openalex.org/W2949122710","https://openalex.org/W2960844345","https://openalex.org/W2962796441","https://openalex.org/W2963336247","https://openalex.org/W2963731896","https://openalex.org/W2970898057","https://openalex.org/W2977883299","https://openalex.org/W2980552311","https://openalex.org/W2994386009","https://openalex.org/W3047898074","https://openalex.org/W3048086369","https://openalex.org/W3093301018","https://openalex.org/W3104997105","https://openalex.org/W3116689020","https://openalex.org/W3141432830","https://openalex.org/W3157186248","https://openalex.org/W3164241150","https://openalex.org/W3171131780","https://openalex.org/W3185042346","https://openalex.org/W3207864412","https://openalex.org/W4239181501","https://openalex.org/W4321500738","https://openalex.org/W4387334066"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W3178841903","https://openalex.org/W3100508419","https://openalex.org/W2040385427","https://openalex.org/W2963364900","https://openalex.org/W2157522479","https://openalex.org/W2963383917","https://openalex.org/W800959505","https://openalex.org/W2950979503"],"abstract_inverted_index":{"Abstract":[0],"Topology":[1],"is":[2],"providing":[3],"new":[4,156],"insights":[5],"for":[6,251,261],"neuroscience.":[7],"For":[8],"instance,":[9],"graphs,":[10,14,181],"simplicial":[11],"complexes,":[12,16],"directed":[13],"flag":[15],"persistent":[17],"homology":[18],"and":[19,32,70,94,158,182,216,258],"convex":[20],"covers":[21],"have":[22],"been":[23],"used":[24],"to":[25,42,120,207,227,253],"study":[26,43,150],"functional":[27],"brain":[28,65,274,293],"networks,":[29],"synaptic":[30],"connectivity,":[31],"hippocampal":[33],"place":[34],"cell":[35],"codes.":[36],"We":[37,139,203,264,287],"propose":[38,154,218],"a":[39,68,74,78,83,102,134,155,164,184,200],"topological":[40,159,185,292],"framework":[41,271],"the":[44,49,61,64,71,87,114,117,121,137,168,221,232,267,278,284,290],"evolution":[45],"of":[46,56,63,73,89,116,127,131,136,172,224,269,280,301],"Alzheimer\u2019s":[47,302],"disease,":[48],"most":[50],"common":[51],"neurodegenerative":[52],"disease.":[53,303],"The":[54],"modeling":[55],"this":[57,106,189,209,237,262,270],"disease":[58,146],"starts":[59],"with":[60],"representation":[62],"connectivity":[66],"as":[67],"graph":[69,118,192],"seeding":[72,147],"toxic":[75,90],"protein":[76],"in":[77,167,199],"specific":[79],"region":[80],"represented":[81],"by":[82,101,124,144,176,191,236,276],"vertex.":[84],"Over":[85],"time,":[86],"accumulation":[88],"proteins":[91,282],"at":[92],"vertices":[93],"their":[95],"propagation":[96],"along":[97],"edges":[98,115,132],"are":[99],"modeled":[100],"dynamical":[103],"system":[104],"on":[105,113,220,272,283],"graph.":[107,138],"These":[108],"dynamics":[109,279],"provide":[110,204],"an":[111,205],"order":[112],"according":[119],"damage":[122],"created":[123],"high":[125],"concentrations":[126],"proteins.":[128],"This":[129],"sequence":[130],"defines":[133,163],"filtration":[135,162],"consider":[140],"different":[141,145,298],"filtrations":[142,152],"given":[143],"locations.":[148],"To":[149,178,230],"these":[151],"we":[153,187,239],"combinatorial":[157],"method.":[160],"A":[161],"maximal":[165,197,233],"chain":[166,294],"partially":[169],"ordered":[170,175],"set":[171],"spanning":[173],"subgraphs":[174,215],"inclusion.":[177],"identify":[179],"similar":[180],"define":[183],"signature,":[186],"quotient":[188,211],"poset":[190],"homotopy":[193,228],"equivalence,":[194],"which":[195],"gives":[196],"chains":[198,234],"smaller":[201],"poset.":[202],"algorithm":[206],"compute":[208],"direct":[210],"without":[212],"computing":[213],"all":[214],"then":[217,265],"bounds":[219,260],"total":[222],"number":[223],"graphs":[225,275],"up":[226],"equivalence.":[229],"compare":[231],"generated":[235],"method,":[238],"extend":[240],"Kendall\u2019s":[241],"$$d_K$$":[242],"<mml:math":[243],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[244],"<mml:msub>":[245],"<mml:mi>d</mml:mi>":[246],"<mml:mi>K</mml:mi>":[247],"</mml:msub>":[248],"</mml:math>":[249],"metric":[250],"permutations":[252],"more":[254],"general":[255],"graded":[256],"posets":[257],"establish":[259],"metric.":[263],"demonstrate":[266],"utility":[268],"actual":[273],"studying":[277],"tau":[281],"structural":[285],"connectome.":[286],"show":[288],"that":[289],"proposed":[291],"equivalence":[295],"classes":[296],"distinguish":[297],"simulated":[299],"subtypes":[300]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}