{"id":"https://openalex.org/W4290771881","doi":"https://doi.org/10.1007/s10439-022-02993-2","title":"Wall Shear Stress Estimation for 4D Flow MRI Using Navier\u2013Stokes Equation Correction","display_name":"Wall Shear Stress Estimation for 4D Flow MRI Using Navier\u2013Stokes Equation Correction","publication_year":2022,"publication_date":"2022-08-09","ids":{"openalex":"https://openalex.org/W4290771881","doi":"https://doi.org/10.1007/s10439-022-02993-2","pmid":"https://pubmed.ncbi.nlm.nih.gov/35943617","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/10263099"},"language":"en","primary_location":{"id":"doi:10.1007/s10439-022-02993-2","doi":"https://doi.org/10.1007/s10439-022-02993-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10439-022-02993-2","pdf_url":null,"source":{"id":"https://openalex.org/S141152059","display_name":"Annals of Biomedical Engineering","issn_l":"0090-6964","issn":["0090-6964","0191-5649","1573-9686"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Biomedical Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10263099/pdf/nihms-1903576.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100720457","display_name":"Jiacheng Zhang","orcid":"https://orcid.org/0000-0002-9027-6531","observed_orcids":["https://orcid.org/0000-0002-9027-6531"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiacheng Zhang","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037757999","display_name":"Sean M. Rothenberger","orcid":"https://orcid.org/0000-0003-1341-6147","observed_orcids":["https://orcid.org/0000-0003-1341-6147"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean M. Rothenberger","raw_affiliation_strings":["Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083734056","display_name":"Melissa C. Brindise","orcid":"https://orcid.org/0000-0002-2047-1630","observed_orcids":["https://orcid.org/0000-0002-2047-1630"]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Melissa C. Brindise","raw_affiliation_strings":["Department of Mechanical Engineering, Pennsylvania State University, University Park, PA, 16802, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044152080","display_name":"Michael Markl","orcid":"https://orcid.org/0000-0002-7686-1128","observed_orcids":["https://orcid.org/0000-0002-7686-1128","https://orcid.org/0000-0002-1921-5461"]},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Markl","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, IL, 60611, USA","McCormick School of Engineering, Northwestern University, Evanston, IL, 60208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, IL, 60611, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"McCormick School of Engineering, Northwestern University, Evanston, IL, 60208, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011960650","display_name":"Vitaliy L. Rayz","orcid":"https://orcid.org/0000-0001-5615-3063","observed_orcids":["https://orcid.org/0000-0001-5615-3063"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vitaliy L. Rayz","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036194518","display_name":"Pavlos P. Vlachos","orcid":"https://orcid.org/0000-0002-8040-9257","observed_orcids":["https://orcid.org/0000-0002-8040-9257"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pavlos P. Vlachos","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA. pvlachos@purdue.edu","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA. pvlachos@purdue.edu","School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA"],"raw_orcid":"https://orcid.org/0000-0002-8040-9257","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA. pvlachos@purdue.edu","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA. pvlachos@purdue.edu","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036194518"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":3860,"currency":"USD","value_usd":3860},"apc_paid":null,"fwci":2.8416,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.91368383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"50","issue":"12","first_page":"1810","last_page":"1825"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9711999893188477,"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"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9711999893188477,"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/T10372","display_name":"Cardiac Imaging and Diagnostics","score":0.007300000172108412,"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/T10420","display_name":"Intracranial Aneurysms: Treatment and Complications","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Neurology"},"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/4d-flow-mri","display_name":"4D flow MRI","score":0.9990000128746033},{"id":"https://openalex.org/keywords/womersley-flow","display_name":"Womersley flow","score":0.9350000023841858},{"id":"https://openalex.org/keywords/aortic-flow","display_name":"aortic blood flow","score":0.9129999876022339},{"id":"https://openalex.org/keywords/vascular-remodeling","display_name":"vascular remodeling","score":0.7170000076293945},{"id":"https://openalex.org/keywords/cardiovascular-disease-progression","display_name":"cardiovascular disease progression","score":0.5649999976158142}],"concepts":[{"id":"https://openalex.org/C21141959","wikidata":"https://www.wikidata.org/wiki/Q657936","display_name":"Shear stress","level":2,"score":0.6558824777603149},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5534288883209229},{"id":"https://openalex.org/C98156149","wikidata":"https://www.wikidata.org/wiki/Q2414143","display_name":"Pressure gradient","level":2,"score":0.5069265961647034},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.491496205329895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45427095890045166},{"id":"https://openalex.org/C20749125","wikidata":"https://www.wikidata.org/wiki/Q7917826","display_name":"Vector flow","level":4,"score":0.4459701478481293},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4431847929954529},{"id":"https://openalex.org/C166693061","wikidata":"https://www.wikidata.org/wiki/Q5462119","display_name":"Flow velocity","level":3,"score":0.4204927086830139},{"id":"https://openalex.org/C136229726","wikidata":"https://www.wikidata.org/wiki/Q327092","display_name":"Biomedical engineering","level":1,"score":0.40986284613609314},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3262355923652649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3199247121810913},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27460378408432007},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19793212413787842},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15236032009124756},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12694773077964783},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.0}],"mesh":[{"descriptor_ui":"D001011","descriptor_name":"Aorta","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D002532","descriptor_name":"Intracranial Aneurysm","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":true},{"descriptor_ui":"D006439","descriptor_name":"Hemodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D013314","descriptor_name":"Stress, Mechanical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1007/s10439-022-02993-2","doi":"https://doi.org/10.1007/s10439-022-02993-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10439-022-02993-2","pdf_url":null,"source":{"id":"https://openalex.org/S141152059","display_name":"Annals of Biomedical Engineering","issn_l":"0090-6964","issn":["0090-6964","0191-5649","1573-9686"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:35943617","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35943617","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,"listed_in":[],"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":"Annals of biomedical engineering","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:10263099","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10263099","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10263099/pdf/nihms-1903576.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Ann Biomed Eng","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:10263099","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10263099","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10263099/pdf/nihms-1903576.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Ann Biomed Eng","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.766700029373169}],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3635573989","display_name":null,"funder_award_id":"R01 HL115267","funder_id":"https://openalex.org/F4320306080","funder_display_name":"Foundation for the National Institutes of Health"},{"id":"https://openalex.org/G4361853605","display_name":"Multi-modality 4D Flow MRI data enhancement for quantification of cerebral aneurysms hemodynamics","funder_award_id":"R21NS106696","funder_id":"https://openalex.org/F4320337359","funder_display_name":"National Institute of Neurological Disorders and Stroke"},{"id":"https://openalex.org/G5911216130","display_name":null,"funder_award_id":"R21 NS106696","funder_id":"https://openalex.org/F4320306080","funder_display_name":"Foundation for the National Institutes of Health"},{"id":"https://openalex.org/G8965048409","display_name":"Risk Assessment of Cerebral Aneurysm Growth with 4D flow MRI","funder_award_id":"R01HL115267","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"}],"funders":[{"id":"https://openalex.org/F4320306080","display_name":"Foundation for the National Institutes of Health","ror":"https://ror.org/00k86s890"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337338","display_name":"National Heart, Lung, and Blood Institute","ror":"https://ror.org/012pb6c26"},{"id":"https://openalex.org/F4320337359","display_name":"National Institute of Neurological Disorders and Stroke","ror":"https://ror.org/01s5ya894"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4290771881.pdf","grobid_xml":"https://content.openalex.org/works/W4290771881.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1633060564","https://openalex.org/W1796359295","https://openalex.org/W1909929277","https://openalex.org/W1967296654","https://openalex.org/W1981196578","https://openalex.org/W1982138035","https://openalex.org/W2004789423","https://openalex.org/W2005569745","https://openalex.org/W2007535773","https://openalex.org/W2013172768","https://openalex.org/W2019122339","https://openalex.org/W2032170497","https://openalex.org/W2042307569","https://openalex.org/W2045574335","https://openalex.org/W2060893240","https://openalex.org/W2065124523","https://openalex.org/W2068859764","https://openalex.org/W2069444004","https://openalex.org/W2077181392","https://openalex.org/W2084621368","https://openalex.org/W2085881646","https://openalex.org/W2097897435","https://openalex.org/W2101569050","https://openalex.org/W2104802194","https://openalex.org/W2105872075","https://openalex.org/W2115533377","https://openalex.org/W2122068117","https://openalex.org/W2123404535","https://openalex.org/W2124564923","https://openalex.org/W2125775582","https://openalex.org/W2128321736","https://openalex.org/W2130856855","https://openalex.org/W2137913387","https://openalex.org/W2146132623","https://openalex.org/W2147753758","https://openalex.org/W2159070158","https://openalex.org/W2324425281","https://openalex.org/W2525775543","https://openalex.org/W2773021754","https://openalex.org/W2784397069","https://openalex.org/W2788325433","https://openalex.org/W2908032868","https://openalex.org/W2972675684","https://openalex.org/W2989662290","https://openalex.org/W3081487930","https://openalex.org/W3155699320","https://openalex.org/W3158631205","https://openalex.org/W3194814069","https://openalex.org/W4210872849","https://openalex.org/W6679555622"],"related_works":["https://openalex.org/W4409456397","https://openalex.org/W6910334009","https://openalex.org/W4312141127","https://openalex.org/W4206901956","https://openalex.org/W2544371630","https://openalex.org/W2913700272","https://openalex.org/W2795440861","https://openalex.org/W3081897822","https://openalex.org/W2500837758","https://openalex.org/W3129703287"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2022-08-09T00:00:00"}
