{"id":"https://openalex.org/W2054628333","doi":"https://doi.org/10.1137/07070231x","title":"Blood Flow in the Circle of Willis: Modeling and Calibration","display_name":"Blood Flow in the Circle of Willis: Modeling and Calibration","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2054628333","doi":"https://doi.org/10.1137/07070231x","mag":"2054628333","pmid":"https://pubmed.ncbi.nlm.nih.gov/19043621"},"language":"en","primary_location":{"id":"doi:10.1137/07070231x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/07070231x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/2587352","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005753357","display_name":"Kristen Jean DeVault","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kristen DeVault","raw_affiliation_strings":["Department of Mathematics and Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205 ( kdevault@terpalum.umd.edu ,  gremaud@ncsu.edu ,  msolufse@ncsu.edu )"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205 ( kdevault@terpalum.umd.edu ,  gremaud@ncsu.edu ,  msolufse@ncsu.edu )","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109211780","display_name":"Pierre A. Gremaud","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre A. Gremaud","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065937266","display_name":"Vera Novak","orcid":"https://orcid.org/0000-0001-9773-1966"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vera Novak","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036769652","display_name":"Mette S. Olufsen","orcid":"https://orcid.org/0000-0003-2694-0044"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mette S. Olufsen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110486077","display_name":"Guillaume Verni\u00e8res","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guillaume Verni\u00e8res","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101688275","display_name":"Peng Zhao","orcid":"https://orcid.org/0000-0001-7567-1878"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peng Zhao","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5005753357"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":1.7546,"has_fulltext":false,"cited_by_count":115,"citation_normalized_percentile":{"value":0.85524922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"7","issue":"2","first_page":"888","last_page":"909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10924","display_name":"Cardiovascular Health and Disease Prevention","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10924","display_name":"Cardiovascular Health and Disease Prevention","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"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/T11885","display_name":"MRI in cancer diagnosis","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inflow","display_name":"Inflow","score":0.8802155256271362},{"id":"https://openalex.org/keywords/circle-of-willis","display_name":"Circle of Willis","score":0.764454185962677},{"id":"https://openalex.org/keywords/outflow","display_name":"Outflow","score":0.6469894647598267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.503004252910614},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.45910099148750305},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.4457017779350281},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41135865449905396},{"id":"https://openalex.org/keywords/arterial-tree","display_name":"Arterial tree","score":0.4112452566623688},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4040288031101227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19954979419708252},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13214662671089172},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.12817370891571045}],"concepts":[{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.8802155256271362},{"id":"https://openalex.org/C2780944724","wikidata":"https://www.wikidata.org/wiki/Q487595","display_name":"Circle of Willis","level":2,"score":0.764454185962677},{"id":"https://openalex.org/C86132830","wikidata":"https://www.wikidata.org/wiki/Q3308838","display_name":"Outflow","level":2,"score":0.6469894647598267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.503004252910614},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.45910099148750305},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.4457017779350281},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41135865449905396},{"id":"https://openalex.org/C2776619873","wikidata":"https://www.wikidata.org/wiki/Q3623006","display_name":"Arterial tree","level":2,"score":0.4112452566623688},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4040288031101227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19954979419708252},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13214662671089172},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.12817370891571045},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/07070231x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/07070231x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmid:19043621","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19043621","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale modeling & simulation : a SIAM interdisciplinary journal","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:2587352","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/2587352","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Model Simul","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:2587352","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/2587352","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Model Simul","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W44490526","https://openalex.org/W327301337","https://openalex.org/W1487184659","https://openalex.org/W1963921981","https://openalex.org/W1972591150","https://openalex.org/W1974115484","https://openalex.org/W1974584723","https://openalex.org/W1975274479","https://openalex.org/W1982617691","https://openalex.org/W1983332762","https://openalex.org/W1983513341","https://openalex.org/W1992857648","https://openalex.org/W2004617655","https://openalex.org/W2005723160","https://openalex.org/W2007031446","https://openalex.org/W2009104157","https://openalex.org/W2015541104","https://openalex.org/W2019470769","https://openalex.org/W2022652966","https://openalex.org/W2028465998","https://openalex.org/W2029070417","https://openalex.org/W2030745832","https://openalex.org/W2034444616","https://openalex.org/W2036832512","https://openalex.org/W2037177679","https://openalex.org/W2043877894","https://openalex.org/W2046311960","https://openalex.org/W2046683716","https://openalex.org/W2050912317","https://openalex.org/W2055456387","https://openalex.org/W2064297654","https://openalex.org/W2067593182","https://openalex.org/W2069748995","https://openalex.org/W2071840132","https://openalex.org/W2081651178","https://openalex.org/W2086799842","https://openalex.org/W2089494470","https://openalex.org/W2093711514","https://openalex.org/W2097554586","https://openalex.org/W2097663931","https://openalex.org/W2100955338","https://openalex.org/W2101559848","https://openalex.org/W2101956120","https://openalex.org/W2104949606","https://openalex.org/W2111599533","https://openalex.org/W2115138428","https://openalex.org/W2116729868","https://openalex.org/W2118341834","https://openalex.org/W2118703366","https://openalex.org/W2121993783","https://openalex.org/W2131778920","https://openalex.org/W2147294163","https://openalex.org/W2151593258","https://openalex.org/W2153732303","https://openalex.org/W2162133926","https://openalex.org/W2162363804","https://openalex.org/W2172213190","https://openalex.org/W2265315731","https://openalex.org/W2408478130","https://openalex.org/W2470598255","https://openalex.org/W2471568356","https://openalex.org/W3010292040","https://openalex.org/W3022404379","https://openalex.org/W3140807734","https://openalex.org/W3162721712","https://openalex.org/W3205926832","https://openalex.org/W4253797853","https://openalex.org/W4298426431"],"related_works":["https://openalex.org/W1983584732","https://openalex.org/W2388744829","https://openalex.org/W2386874011","https://openalex.org/W3143480594","https://openalex.org/W2466585710","https://openalex.org/W2467647265","https://openalex.org/W2330436740","https://openalex.org/W2569998601","https://openalex.org/W2344853965","https://openalex.org/W3121481342"],"abstract_inverted_index":{"A":[0],"numerical":[1,43],"model":[2,86],"based":[3],"on":[4,22],"one-dimensional":[5],"balance":[6],"laws":[7],"and":[8,41,90,112],"ad":[9],"hoc":[10],"zero-dimensional":[11],"boundary":[12],"conditions":[13,117,124,131],"is":[14,37,50,76,87,150],"tested":[15],"against":[16,92],"experimental":[17],"data.":[18],"The":[19,34,48,105,145,154],"study":[20],"concentrates":[21],"the":[23,31,54,58,62,84,120,129,138,148,157,160],"circle":[24],"of":[25,30,61,101,137,147,159],"Willis,":[26],"a":[27,66,73,135],"vital":[28],"subnetwork":[29],"cerebral":[32,102],"vasculature.":[33],"main":[35],"goal":[36],"to":[38,52],"obtain":[39],"efficient":[40],"reliable":[42],"tools":[44],"with":[45],"predictive":[46],"capabilities.":[47],"flow":[49],"assumed":[51],"obey":[53],"Navier-Stokes":[55],"equations,":[56],"while":[57,122],"mechanical":[59],"reactions":[60],"arterial":[63],"walls":[64],"follow":[65],"viscoelastic":[67],"model.":[68],"Like":[69],"many":[70],"previous":[71,82],"studies,":[72],"dimension":[74],"reduction":[75],"performed":[77],"through":[78,140],"averaging.":[79],"Unlike":[80],"most":[81],"work,":[83],"resulting":[85],"both":[88],"calibrated":[89,133],"validated":[91],"in":[93,128],"vivo":[94],"data,":[95,121],"more":[96],"precisely":[97],"transcranial":[98],"Doppler":[99],"data":[100,139,149],"blood":[103],"velocity.":[104],"network":[106],"considered":[107],"has":[108],"three":[109],"inflow":[110],"vessels":[111],"six":[113],"outflow":[114,123,130],"vessels.":[115],"Inflow":[116],"come":[118],"from":[119],"are":[125,132],"modeled.":[126],"Parameters":[127],"using":[134],"subset":[136],"ensemble":[141],"Kalman":[142],"filtering":[143],"techniques.":[144],"rest":[146],"used":[151],"for":[152],"validation.":[153],"results":[155],"demonstrate":[156],"viability":[158],"proposed":[161],"approach.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}