{"id":"https://openalex.org/W2989662290","doi":"https://doi.org/10.1109/tmi.2019.2954697","title":"4D Flow MRI Pressure Estimation Using Velocity Measurement-Error-Based Weighted Least-Squares","display_name":"4D Flow MRI Pressure Estimation Using Velocity Measurement-Error-Based Weighted Least-Squares","publication_year":2019,"publication_date":"2019-11-21","ids":{"openalex":"https://openalex.org/W2989662290","doi":"https://doi.org/10.1109/tmi.2019.2954697","mag":"2989662290","pmid":"https://pubmed.ncbi.nlm.nih.gov/31751234"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2019.2954697","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2019.2954697","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10359051/pdf/nihms-1590744.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"},"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":"Jiacheng Zhang","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, USA"],"raw_orcid":"https://orcid.org/0000-0002-9027-6531","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, 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"},"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":"Melissa C. Brindise","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037757999","display_name":"Sean Rothenberger","orcid":"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 Rothenberger","raw_affiliation_strings":["Weldon School of Biomedical Engineering, Purdue University, West Lafayette, USA"],"raw_orcid":"https://orcid.org/0000-0003-1341-6147","affiliations":[{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053642357","display_name":"Susanne Schnell","orcid":"https://orcid.org/0000-0001-6009-4756"},"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":"Susanne Schnell","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, USA"],"raw_orcid":"https://orcid.org/0000-0001-6009-4756","affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044152080","display_name":"Michael Markl","orcid":"https://orcid.org/0000-0002-7686-1128"},"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"]},{"id":"https://openalex.org/I4210104270","display_name":"McCormick (United States)","ror":"https://ror.org/01ftbgh03","country_code":"US","type":"company","lineage":["https://openalex.org/I4210104270"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Markl","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, USA","McCormick School of Engineering, Northwestern University, Evanston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"McCormick School of Engineering, Northwestern University, Evanston, USA","institution_ids":["https://openalex.org/I111979921","https://openalex.org/I4210104270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030822917","display_name":"David Saloner","orcid":"https://orcid.org/0000-0002-6989-8547"},"institutions":[{"id":"https://openalex.org/I180670191","display_name":"University of California, San Francisco","ror":"https://ror.org/043mz5j54","country_code":"US","type":"education","lineage":["https://openalex.org/I180670191"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Saloner","raw_affiliation_strings":["Department of Radiology and Biomedical Imaging, University of California San Francisco, San Francisco, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiology and Biomedical Imaging, University of California San Francisco, San Francisco, USA","institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I180670191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011960650","display_name":"Vitaliy L. Rayz","orcid":"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, USA","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, 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"},"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":"Pavlos P. Vlachos","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, USA","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, USA"],"raw_orcid":"https://orcid.org/0000-0002-8040-9257","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5100720457"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":3.085,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.9164125,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"39","issue":"5","first_page":"1668","last_page":"1680"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9991999864578247,"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":0.9991999864578247,"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/T10821","display_name":"Cardiovascular Function and Risk Factors","score":0.9980999827384949,"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/T10172","display_name":"Cardiac Valve Diseases and Treatments","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pressure-gradient","display_name":"Pressure gradient","score":0.6791317462921143},{"id":"https://openalex.org/keywords/hagen\u2013poiseuille-equation","display_name":"Hagen\u2013Poiseuille equation","score":0.6258463859558105},{"id":"https://openalex.org/keywords/flow-measurement","display_name":"Flow measurement","score":0.5214642286300659},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5017263889312744},{"id":"https://openalex.org/keywords/observational-error","display_name":"Observational error","score":0.4762413799762726},{"id":"https://openalex.org/keywords/pressure-measurement","display_name":"Pressure measurement","score":0.4725964665412903},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.46547645330429077},{"id":"https://openalex.org/keywords/flow-velocity","display_name":"Flow velocity","score":0.4335898160934448},{"id":"https://openalex.org/keywords/laminar-flow","display_name":"Laminar flow","score":0.4158238172531128},{"id":"https://openalex.org/keywords/velocity-gradient","display_name":"Velocity gradient","score":0.41321977972984314},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.37254804372787476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3520129323005676},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22944766283035278},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08523142337799072}],"concepts":[{"id":"https://openalex.org/C98156149","wikidata":"https://www.wikidata.org/wiki/Q2414143","display_name":"Pressure gradient","level":2,"score":0.6791317462921143},{"id":"https://openalex.org/C175336444","wikidata":"https://www.wikidata.org/wiki/Q869854","display_name":"Hagen\u2013Poiseuille equation","level":3,"score":0.6258463859558105},{"id":"https://openalex.org/C16302685","wikidata":"https://www.wikidata.org/wiki/Q15091623","display_name":"Flow measurement","level":2,"score":0.5214642286300659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5017263889312744},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.4762413799762726},{"id":"https://openalex.org/C80264047","wikidata":"https://www.wikidata.org/wiki/Q7424019","display_name":"Pressure measurement","level":2,"score":0.4725964665412903},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.46547645330429077},{"id":"https://openalex.org/C166693061","wikidata":"https://www.wikidata.org/wiki/Q5462119","display_name":"Flow velocity","level":3,"score":0.4335898160934448},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.4158238172531128},{"id":"https://openalex.org/C136590016","wikidata":"https://www.wikidata.org/wiki/Q7621125","display_name":"Velocity gradient","level":2,"score":0.41321977972984314},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37254804372787476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3520129323005676},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22944766283035278},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08523142337799072}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","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":"D006801","descriptor_name":"Humans","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":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1109/tmi.2019.2954697","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2019.2954697","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},{"id":"pmid:31751234","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31751234","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":"IEEE transactions on medical imaging","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10359051","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10359051","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10359051/pdf/nihms-1590744.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,"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":"IEEE Trans Med Imaging","raw_type":"Text"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt30h4k9hg","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/30h4k9hg","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Medical Imaging, vol 39, iss 5","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:10359051","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10359051","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10359051/pdf/nihms-1590744.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,"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":"IEEE Trans Med Imaging","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1477282223","display_name":null,"funder_award_id":"NIH R21 NS106696","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8491762067","display_name":null,"funder_award_id":"R21 NS106696","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2989662290.pdf","grobid_xml":"https://content.openalex.org/works/W2989662290.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1596760013","https://openalex.org/W1604404969","https://openalex.org/W1942198708","https://openalex.org/W1966401203","https://openalex.org/W1970009422","https://openalex.org/W1972000959","https://openalex.org/W1977121520","https://openalex.org/W1996849234","https://openalex.org/W1997394435","https://openalex.org/W2026905898","https://openalex.org/W2063219180","https://openalex.org/W2075401287","https://openalex.org/W2083222033","https://openalex.org/W2090645188","https://openalex.org/W2105988718","https://openalex.org/W2108148937","https://openalex.org/W2112795878","https://openalex.org/W2113162826","https://openalex.org/W2122559378","https://openalex.org/W2127396336","https://openalex.org/W2151570947","https://openalex.org/W2165244453","https://openalex.org/W2167206998","https://openalex.org/W2300560703","https://openalex.org/W2313186535","https://openalex.org/W2317750375","https://openalex.org/W2330025310","https://openalex.org/W2344299814","https://openalex.org/W2440859035","https://openalex.org/W2471327176","https://openalex.org/W2621412649","https://openalex.org/W2784397069","https://openalex.org/W2899062280","https://openalex.org/W2945565118","https://openalex.org/W2963423002","https://openalex.org/W2972675684"],"related_works":["https://openalex.org/W4244021094","https://openalex.org/W1992722226","https://openalex.org/W565810520","https://openalex.org/W4390617629","https://openalex.org/W1870796819","https://openalex.org/W1993383543","https://openalex.org/W2175586664","https://openalex.org/W2028889968","https://openalex.org/W2076473212","https://openalex.org/W2079547523"],"abstract_inverted_index":{"This":[0],"work":[1],"introduces":[2],"a":[3],"4D":[4,92,197],"flow":[5,87,93,171,182,193,198,215,244],"magnetic":[6],"resonance":[7],"imaging":[8],"(MRI)":[9],"pressure":[10,19,63,69,72,109,139,240],"reconstruction":[11,73],"method":[12,74,100,105,117,129,167,236],"which":[13,112],"employs":[14],"weighted":[15],"least-squares":[16],"(WLS)":[17],"for":[18,38,68,147],"integration.":[20],"Pressure":[21,41,200],"gradients":[22],"are":[23,32,44],"calculated":[24,201],"from":[25,34,160,242],"the":[26,35,48,62,97,104,108,115,120,127,148,166,207,214,222,232],"velocity":[27,30,36,49,81,134,152],"fields,":[28],"and":[29,77,190,217,225],"errors":[31,43,50],"estimated":[33,45],"divergence":[37],"incompressible":[39],"flow.":[40],"gradient":[42,64],"by":[46,202],"propagating":[47],"through":[51],"Navier-Stokes":[52],"momentum":[53],"equation.":[54],"A":[55],"weight":[56],"matrix":[57],"is":[58,130],"generated":[59],"based":[60],"on":[61,138],"errors,":[65],"then":[66],"employed":[67],"reconstruction.":[70],"The":[71],"was":[75,101,141,168,177,210],"demonstrated":[76],"analyzed":[78],"using":[79,89,185,196],"synthetic":[80],"fields":[82],"as":[83,85,204],"well":[84],"Poiseuille":[86],"measured":[88],"in":[90,119,157,172,180,191,223,226],"vitro":[91,181,227],"MRI.":[94,199],"Performance":[95],"of":[96,106,234],"proposed":[98,128],"WLS":[99,235],"compared":[102],"to":[103,133,143,162,170,206,237],"solving":[107],"Poisson":[110,208],"equation":[111],"has":[113],"been":[114],"primary":[116],"used":[118],"previous":[121],"studies.":[122],"Error":[123],"analysis":[124],"indicated":[125],"that":[126],"more":[131,145,211],"robust":[132],"measurement":[135,194,245],"errors.":[136],"Improvement":[137],"results":[140,230],"found":[142],"be":[144],"significant":[146],"cases":[149],"with":[150,155,179,213],"spatially-varying":[151],"error":[153,158],"level,":[154],"reductions":[156],"ranging":[159],"50%":[161],"over":[163],"200%.":[164],"Finally,":[165],"applied":[169],"patient-specific":[173],"cerebral":[174],"aneurysms.":[175],"Validation":[176],"performed":[178],"data":[183],"collected":[184],"Particle":[186],"Tracking":[187],"Velocimetry":[188],"(PTV)":[189],"vivo":[192,224],"obtained":[195],"WLS,":[203],"opposed":[205],"equation,":[209],"consistent":[212],"structures":[216],"showed":[218],"better":[219],"agreement":[220],"between":[221],"data.":[228,246],"These":[229],"suggest":[231],"utility":[233],"obtain":[238],"reliable":[239],"field":[241],"clinical":[243]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
