{"id":"https://openalex.org/W4392155405","doi":"https://doi.org/10.3390/computation12030041","title":"Physically Informed Deep Learning Technique for Estimating Blood Flow Parameters in Four-Vessel Junction after the Fontan Procedure","display_name":"Physically Informed Deep Learning Technique for Estimating Blood Flow Parameters in Four-Vessel Junction after the Fontan Procedure","publication_year":2024,"publication_date":"2024-02-25","ids":{"openalex":"https://openalex.org/W4392155405","doi":"https://doi.org/10.3390/computation12030041"},"language":"en","primary_location":{"id":"doi:10.3390/computation12030041","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12030041","pdf_url":"https://www.mdpi.com/2079-3197/12/3/41/pdf?version=1708941397","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/12/3/41/pdf?version=1708941397","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005123838","display_name":"\u0410. \u041f. \u0418\u0441\u0430\u0435\u0432","orcid":"https://orcid.org/0000-0003-2640-0240"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210086928","display_name":"Institute of Numerical Mathematics","ror":"https://ror.org/00520ey40","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210086928","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Isaev","raw_affiliation_strings":["Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I4210086928","https://openalex.org/I1313323035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006561281","display_name":"Tatiana K. Dobroserdova","orcid":"https://orcid.org/0000-0002-6412-9829"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210086928","display_name":"Institute of Numerical Mathematics","ror":"https://ror.org/00520ey40","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210086928","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Tatiana Dobroserdova","raw_affiliation_strings":["Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6412-9829","affiliations":[{"raw_affiliation_string":"Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I4210086928","https://openalex.org/I1313323035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008219830","display_name":"Alexander Danilov","orcid":"https://orcid.org/0000-0002-4709-4513"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I17877952","display_name":"Sechenov University","ror":"https://ror.org/02yqqv993","country_code":"RU","type":"education","lineage":["https://openalex.org/I17877952"]},{"id":"https://openalex.org/I4210086928","display_name":"Institute of Numerical Mathematics","ror":"https://ror.org/00520ey40","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210086928","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Danilov","raw_affiliation_strings":["Institute of Computer Sciences and Mathematical Modelling, Sechenov University, 119992 Moscow, Russia","Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia","Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia"],"raw_orcid":"https://orcid.org/0000-0002-4709-4513","affiliations":[{"raw_affiliation_string":"Institute of Computer Sciences and Mathematical Modelling, Sechenov University, 119992 Moscow, Russia","institution_ids":["https://openalex.org/I17877952"]},{"raw_affiliation_string":"Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I4210086928","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018182597","display_name":"Sergey Simakov","orcid":"https://orcid.org/0000-0003-3406-9623"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I17877952","display_name":"Sechenov University","ror":"https://ror.org/02yqqv993","country_code":"RU","type":"education","lineage":["https://openalex.org/I17877952"]},{"id":"https://openalex.org/I4210086928","display_name":"Institute of Numerical Mathematics","ror":"https://ror.org/00520ey40","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210086928","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Sergey Simakov","raw_affiliation_strings":["Institute of Computer Sciences and Mathematical Modelling, Sechenov University, 119992 Moscow, Russia","Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia","Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia"],"raw_orcid":"https://orcid.org/0000-0003-3406-9623","affiliations":[{"raw_affiliation_string":"Institute of Computer Sciences and Mathematical Modelling, Sechenov University, 119992 Moscow, Russia","institution_ids":["https://openalex.org/I17877952"]},{"raw_affiliation_string":"Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I4210086928","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia","institution_ids":["https://openalex.org/I153845743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018182597"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I153845743","https://openalex.org/I17877952","https://openalex.org/I4210086928"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.5916,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.9531877,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"12","issue":"3","first_page":"41","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10821","display_name":"Cardiovascular Function and Risk Factors","score":0.9740999937057495,"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/T10821","display_name":"Cardiovascular Function and Risk Factors","score":0.9740999937057495,"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9663000106811523,"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/fontan-procedure","display_name":"Fontan procedure","score":0.6011618971824646},{"id":"https://openalex.org/keywords/blood-flow","display_name":"Blood flow","score":0.5370034575462341},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.4099767804145813},{"id":"https://openalex.org/keywords/cardiology","display_name":"Cardiology","score":0.4067554473876953},{"id":"https://openalex.org/keywords/biomedical-engineering","display_name":"Biomedical engineering","score":0.36975347995758057},{"id":"https://openalex.org/keywords/heart-disease","display_name":"Heart disease","score":0.12163591384887695}],"concepts":[{"id":"https://openalex.org/C2776974648","wikidata":"https://www.wikidata.org/wiki/Q1413554","display_name":"Fontan procedure","level":3,"score":0.6011618971824646},{"id":"https://openalex.org/C158846371","wikidata":"https://www.wikidata.org/wiki/Q1642137","display_name":"Blood flow","level":2,"score":0.5370034575462341},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.4099767804145813},{"id":"https://openalex.org/C164705383","wikidata":"https://www.wikidata.org/wiki/Q10379","display_name":"Cardiology","level":1,"score":0.4067554473876953},{"id":"https://openalex.org/C136229726","wikidata":"https://www.wikidata.org/wiki/Q327092","display_name":"Biomedical engineering","level":1,"score":0.36975347995758057},{"id":"https://openalex.org/C2780074459","wikidata":"https://www.wikidata.org/wiki/Q389735","display_name":"Heart disease","level":2,"score":0.12163591384887695}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation12030041","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12030041","pdf_url":"https://www.mdpi.com/2079-3197/12/3/41/pdf?version=1708941397","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:af408cd610184806b8260efec0d0218c","is_oa":true,"landing_page_url":"https://doaj.org/article/af408cd610184806b8260efec0d0218c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 12, Iss 3, p 41 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation12030041","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12030041","pdf_url":"https://www.mdpi.com/2079-3197/12/3/41/pdf?version=1708941397","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4403234445","display_name":null,"funder_award_id":"21-71-30023","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392155405.pdf"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1665214252","https://openalex.org/W1986760892","https://openalex.org/W2022989772","https://openalex.org/W2027461913","https://openalex.org/W2041004593","https://openalex.org/W2070299075","https://openalex.org/W2095705004","https://openalex.org/W2110620627","https://openalex.org/W2112311198","https://openalex.org/W2281981996","https://openalex.org/W2568283272","https://openalex.org/W2585298970","https://openalex.org/W2618530766","https://openalex.org/W2773595117","https://openalex.org/W3120257032","https://openalex.org/W3213948425","https://openalex.org/W4220937057","https://openalex.org/W4225716327","https://openalex.org/W4241395986","https://openalex.org/W4255143051","https://openalex.org/W4372203218","https://openalex.org/W4382022979","https://openalex.org/W6674330103"],"related_works":["https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2748952813","https://openalex.org/W1531601525","https://openalex.org/W1968770722","https://openalex.org/W2541045029","https://openalex.org/W2061676111"],"abstract_inverted_index":{"This":[0,170],"study":[1,137],"introduces":[2],"an":[3,48],"innovative":[4],"approach":[5,114,171],"leveraging":[6],"physics-informed":[7],"neural":[8,52,105],"networks":[9,106],"(PINNs)":[10],"for":[11],"the":[12,19,40,43,111,147,167],"efficient":[13],"computation":[14],"of":[15,21,42,77,103,150,164,187],"blood":[16],"flows":[17],"at":[18],"boundaries":[20],"a":[22,27,33,68,121,126,156,160,173],"four-vessel":[23],"junction":[24],"formed":[25],"by":[26],"Fontan":[28],"procedure.":[29],"The":[30,99,136],"methodology":[31],"incorporates":[32],"3D":[34,61],"mesh":[35],"generation":[36,86],"technique":[37],"based":[38],"on":[39,166],"parameterization":[41],"junction\u2019s":[44],"geometry,":[45],"coupled":[46],"with":[47,142],"advanced":[49],"physically":[50,122,127],"regularized":[51,128],"network":[53,185],"architecture.":[54],"Synthetic":[55],"datasets":[56,92],"are":[57,108],"generated":[58],"through":[59],"stationary":[60],"Navier\u2013Stokes":[62],"simulations":[63],"within":[64],"immobile":[65],"boundaries,":[66],"offering":[67],"precise":[69],"alternative":[70,175],"to":[71,176],"resource-intensive":[72,177],"computations.":[73],"A":[74],"comparative":[75],"analysis":[76],"standard":[78],"grid":[79],"sampling":[80,84,145],"and":[81,95,120],"Latin":[82,143],"hypercube":[83,144],"data":[85],"methods":[87],"is":[88],"conducted,":[89],"resulting":[90],"in":[91,182],"comprising":[93],"1.1\u00d7104":[94],"5\u00d7103":[96],"samples,":[97],"respectively.":[98],"following":[100],"two":[101],"families":[102],"feed-forward":[104],"(FFNNs)":[107],"then":[109],"compared:":[110],"conventional":[112],"\u201cblack-box\u201d":[113],"using":[115,155],"mean":[116],"squared":[117],"error":[118,152,162],"(MSE)":[119],"informed":[123],"FFNN":[124],"employing":[125],"loss":[129],"function":[130],"(PRLF),":[131],"incorporating":[132],"mass":[133],"conservation":[134],"law.":[135],"demonstrates":[138],"that":[139],"combining":[140],"PRLF":[141],"enables":[146],"rapid":[148],"minimization":[149],"relative":[151,161],"(RE)":[153],"when":[154],"smaller":[157],"dataset,":[158],"achieving":[159],"value":[163],"6%":[165],"test":[168],"set.":[169],"offers":[172],"viable":[174],"simulations,":[178],"showcasing":[179],"potential":[180],"applications":[181],"patient-specific":[183],"1D":[184],"models":[186],"hemodynamics.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4}],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}