{"id":"https://openalex.org/W3211532078","doi":"https://doi.org/10.1109/tac.2023.3277924","title":"The Strong Integral Input-to-State Stability Property in Dynamical Flow Networks","display_name":"The Strong Integral Input-to-State Stability Property in Dynamical Flow Networks","publication_year":2023,"publication_date":"2023-05-19","ids":{"openalex":"https://openalex.org/W3211532078","doi":"https://doi.org/10.1109/tac.2023.3277924","mag":"3211532078"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3277924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3277924","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2111.09727","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089133592","display_name":"Gustav Nilsson","orcid":"https://orcid.org/0000-0003-1346-3736"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Gustav Nilsson","raw_affiliation_strings":["School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,"],"affiliations":[{"raw_affiliation_string":"School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010552433","display_name":"Samuel Coogan","orcid":"https://orcid.org/0000-0003-0495-1535"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samuel Coogan","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","#N#\u2021#N#Georgia Institute of Technology#N#"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"#N#\u2021#N#Georgia Institute of Technology#N#","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089133592"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0021223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"69","issue":"2","first_page":"1179","last_page":"1185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9930999875068665,"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/T10524","display_name":"Traffic control and management","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inflow","display_name":"Inflow","score":0.8951895236968994},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.6992263197898865},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.545665442943573},{"id":"https://openalex.org/keywords/outflow","display_name":"Outflow","score":0.5251153111457825},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.5195727348327637},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5086603760719299},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48026132583618164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46816393733024597},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4444776475429535},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4350404143333435},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42943334579467773},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.42764997482299805},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.41048741340637207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35561907291412354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35119396448135376},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3363427519798279},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1480463147163391},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1362362802028656},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09249603748321533},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08015739917755127},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06787297129631042}],"concepts":[{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.8951895236968994},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6992263197898865},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.545665442943573},{"id":"https://openalex.org/C86132830","wikidata":"https://www.wikidata.org/wiki/Q3308838","display_name":"Outflow","level":2,"score":0.5251153111457825},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5195727348327637},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5086603760719299},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48026132583618164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46816393733024597},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4444776475429535},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4350404143333435},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42943334579467773},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.42764997482299805},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.41048741340637207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35561907291412354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35119396448135376},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3363427519798279},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1480463147163391},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1362362802028656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09249603748321533},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08015739917755127},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06787297129631042},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/tac.2023.3277924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3277924","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2111.09727","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.09727","pdf_url":"https://arxiv.org/pdf/2111.09727","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05310235v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05310235","pdf_url":"https://hal.science/hal-05310235v1/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2024, 69 (2), pp.1179-1185. ⟨10.1109/TAC.2023.3277924⟩","raw_type":"Journal articles"},{"id":"mag:3211532078","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2111.09727","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:310181","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/206855","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"},{"id":"pmh:oai:iris.unitn.it:11572/451192","is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/451192","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2111.09727","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2111.09727","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2111.09727","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.09727","pdf_url":"https://arxiv.org/pdf/2111.09727","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1454423435","display_name":null,"funder_award_id":"FA9550-19-1-0015","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4786052292","display_name":null,"funder_award_id":"#1749357","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1974168515","https://openalex.org/W1979353561","https://openalex.org/W2015599646","https://openalex.org/W2060612291","https://openalex.org/W2075419914","https://openalex.org/W2080209002","https://openalex.org/W2127301788","https://openalex.org/W2137784941","https://openalex.org/W2170091282","https://openalex.org/W2171625164","https://openalex.org/W2249003726","https://openalex.org/W2251401173","https://openalex.org/W2260827801","https://openalex.org/W2578975490","https://openalex.org/W2610279013","https://openalex.org/W2884133407","https://openalex.org/W2914936548","https://openalex.org/W2954809839","https://openalex.org/W2962695522","https://openalex.org/W2962826548","https://openalex.org/W2999975017","https://openalex.org/W3104452722","https://openalex.org/W3119528964","https://openalex.org/W3134588108","https://openalex.org/W3184128070","https://openalex.org/W4211014789","https://openalex.org/W4301809784","https://openalex.org/W6753310191"],"related_works":["https://openalex.org/W3184128070","https://openalex.org/W1986990399","https://openalex.org/W2006593818","https://openalex.org/W2610480937","https://openalex.org/W3101597657","https://openalex.org/W2994590122","https://openalex.org/W2055345548","https://openalex.org/W2606860700","https://openalex.org/W3099372958","https://openalex.org/W2032554892","https://openalex.org/W2300612137","https://openalex.org/W2904532265","https://openalex.org/W1679757492","https://openalex.org/W2923207833","https://openalex.org/W3214323366","https://openalex.org/W2911165868","https://openalex.org/W1517822046","https://openalex.org/W2252223256","https://openalex.org/W2801095554","https://openalex.org/W3175507450"],"abstract_inverted_index":{"Dynamical":[0],"flow":[1,18,42,103,118,132,138,158,180,193],"networks":[2,22,119,128,135],"serve":[3],"as":[4,127],"macroscopic":[5],"models":[6,186],"for,":[7],"e.g.,":[8,41],"transportation":[9],"networks,":[10,12,133],"queuing":[11,185],"and":[13,45,75,134,160,191],"distribution":[14],"networks.":[15],"While":[16],"the":[17,24,29,31,57,69,84,95,98,102,145],"dynamics":[19],"in":[20],"such":[21,126],"follow":[23],"conservation":[25],"of":[26,59,97,114,116,148],"mass":[27],"on":[28,56,101,144,175],"links,":[30],"outflow":[32],"from":[33],"each":[34],"link":[35],"is":[36,63,169],"often":[37],"nonlinear":[38,51],"due":[39],"to,":[40],"capacity":[43],"constraints":[44,52],"simultaneous":[46],"service":[47],"rate":[48],"constraints.":[49],"Such":[50],"imply":[53],"a":[54,110,156,176],"limit":[55],"magnitude":[58,147],"exogenous":[60,99,149,189],"inflow":[61,100,150],"that":[62,120],"able":[64],"to":[65,151],"be":[66],"accommodated":[67],"by":[68],"network":[70,181],"before":[71],"it":[72],"becomes":[73],"overloaded":[74],"its":[76],"state":[77],"trajectory":[78],"diverges.":[79],"This":[80],"article":[81],"shows":[82],"how":[83],"strong":[85],"integral":[86],"input-to-state":[87,153],"stability":[88,112,154],"(Strong":[89],"iISS)":[90],"property":[91,108],"allows":[92],"for":[93,155],"quantifying":[94],"effects":[96],"dynamics.":[104,139],"The":[105,171],"Strong":[106],"iISS":[107],"enables":[109],"unified":[111],"analysis":[113],"classes":[115],"dynamical":[117,157,179],"were":[121],"only":[122],"partly":[123],"analyzable":[124],"before,":[125],"with":[129,136,187],"cycles,":[130],"multicommodity":[131,192],"nonmonotone":[137],"We":[140],"present":[141,163],"sufficient":[142,167],"conditions":[143,172],"maximum":[146],"guarantee":[152],"network,":[159],"we":[161],"also":[162],"cases":[164],"when":[165],"this":[166],"condition":[168],"necessary.":[170],"are":[173],"exemplified":[174],"few":[177],"existing":[178],"models,":[182],"specifically,":[183],"fluid":[184],"time-varying":[188],"inflows":[190],"models.":[194]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}