{"id":"https://openalex.org/W2980302353","doi":"https://doi.org/10.1109/tac.2022.3145571","title":"Input-Output Equations and Identifiability of Linear ODE Models","display_name":"Input-Output Equations and Identifiability of Linear ODE Models","publication_year":2022,"publication_date":"2022-01-25","ids":{"openalex":"https://openalex.org/W2980302353","doi":"https://doi.org/10.1109/tac.2022.3145571","mag":"2980302353"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3145571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3145571","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.03960","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010581292","display_name":"Alexey Ovchinnikov","orcid":"https://orcid.org/0000-0001-8192-910X"},"institutions":[{"id":"https://openalex.org/I111455621","display_name":"Queens College, CUNY","ror":"https://ror.org/03v8adn41","country_code":"US","type":"education","lineage":["https://openalex.org/I111455621"]},{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexey Ovchinnikov","raw_affiliation_strings":["Department of Mathematics, Queens College, City University of New York (CUNY), Queens, NY, USA","Graduate Center, City University of New York (CUNY), New York, NY, USA"],"raw_orcid":"https://orcid.org/0000-0001-8192-910X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Queens College, City University of New York (CUNY), Queens, NY, USA","institution_ids":["https://openalex.org/I111455621"]},{"raw_affiliation_string":"Graduate Center, City University of New York (CUNY), New York, NY, USA","institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012130065","display_name":"Gleb Pogudin","orcid":"https://orcid.org/0000-0002-5731-8242"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Gleb Pogudin","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY, USA","Higher School of Economics, Faculty of Computer Science, Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0002-5731-8242","affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"Higher School of Economics, Faculty of Computer Science, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058778603","display_name":"Peter Thompson","orcid":"https://orcid.org/0000-0001-7528-3736"},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Thompson","raw_affiliation_strings":["Graduate Center, City University of New York (CUNY), New York, NY, USA"],"raw_orcid":"https://orcid.org/0000-0001-7528-3736","affiliations":[{"raw_affiliation_string":"Graduate Center, City University of New York (CUNY), New York, NY, USA","institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9776,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87482665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"68","issue":"2","first_page":"812","last_page":"824"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9951000213623047,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10409","display_name":"Fuel Cells and Related Materials","score":0.979200005531311,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.9420770406723022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6104251146316528},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5968501567840576},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.578477680683136},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5738677978515625},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.5139738917350769},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4854486584663391},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4775839149951935},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.4353184103965759},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.43457871675491333},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41567346453666687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2666497826576233},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11507430672645569}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.9420770406723022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6104251146316528},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5968501567840576},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.578477680683136},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5738677978515625},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.5139738917350769},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4854486584663391},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4775839149951935},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.4353184103965759},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.43457871675491333},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41567346453666687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2666497826576233},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11507430672645569},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2022.3145571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3145571","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:1910.03960","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.03960","pdf_url":"https://arxiv.org/pdf/1910.03960","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-04460636v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04460636","pdf_url":"https://hal.science/hal-04460636/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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, 2023, 68 (2), pp.812-824. &#x27E8;10.1109/TAC.2022.3145571&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.03960","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.03960","pdf_url":"https://arxiv.org/pdf/1910.03960","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/G1238590856","display_name":null,"funder_award_id":"DMS-1760448","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1427893484","display_name":"FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications","funder_award_id":"1760448","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1461391204","display_name":null,"funder_award_id":"CCF-1708884","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1797122737","display_name":null,"funder_award_id":"CCF-1319632","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2213365449","display_name":null,"funder_award_id":"60098-00 48","funder_id":"https://openalex.org/F4320309102","funder_display_name":"City University of New York"},{"id":"https://openalex.org/G3209138082","display_name":null,"funder_award_id":"1853482","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3248499258","display_name":null,"funder_award_id":"CCF-1564132","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3914215863","display_name":null,"funder_award_id":"PSC-CUNY 69827-0047","funder_id":"https://openalex.org/F4320309102","funder_display_name":"City University of New York"},{"id":"https://openalex.org/G4817279656","display_name":null,"funder_award_id":"1563942","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5194165747","display_name":null,"funder_award_id":"1564132","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5382545803","display_name":null,"funder_award_id":"1319632","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5977386177","display_name":"International Symposium on Symbolic and Algebraic Computation","funder_award_id":"1708884","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G61283242","display_name":null,"funder_award_id":"CCF-1563942","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7180867254","display_name":null,"funder_award_id":"1853650","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7269483701","display_name":null,"funder_award_id":"-1564132","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G915514142","display_name":null,"funder_award_id":"DMS-1853650","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309102","display_name":"City University of New York","ror":"https://ror.org/00453a208"},{"id":"https://openalex.org/F4320334268","display_name":"Queens College, City University of New York","ror":"https://ror.org/03v8adn41"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W96301413","https://openalex.org/W173417592","https://openalex.org/W402229464","https://openalex.org/W1485426748","https://openalex.org/W1503543307","https://openalex.org/W1507039213","https://openalex.org/W1510451047","https://openalex.org/W1583357624","https://openalex.org/W1591455171","https://openalex.org/W1660965111","https://openalex.org/W1980662086","https://openalex.org/W1994958617","https://openalex.org/W1998222251","https://openalex.org/W2003195392","https://openalex.org/W2024532992","https://openalex.org/W2030524855","https://openalex.org/W2031434350","https://openalex.org/W2033783472","https://openalex.org/W2039477918","https://openalex.org/W2058899256","https://openalex.org/W2066230857","https://openalex.org/W2072667966","https://openalex.org/W2077298225","https://openalex.org/W2082667869","https://openalex.org/W2088015348","https://openalex.org/W2091290573","https://openalex.org/W2092512762","https://openalex.org/W2099071802","https://openalex.org/W2113105229","https://openalex.org/W2129730142","https://openalex.org/W2131038454","https://openalex.org/W2141494429","https://openalex.org/W2168585611","https://openalex.org/W2171968193","https://openalex.org/W2541490590","https://openalex.org/W2614360042","https://openalex.org/W2675964770","https://openalex.org/W2738906282","https://openalex.org/W2784454168","https://openalex.org/W2893428001","https://openalex.org/W2905083628","https://openalex.org/W2949814822","https://openalex.org/W2963961589","https://openalex.org/W2966411727","https://openalex.org/W3011916064","https://openalex.org/W3017008557","https://openalex.org/W3036694777","https://openalex.org/W3042178423","https://openalex.org/W3097525684","https://openalex.org/W3108522401","https://openalex.org/W3131841269","https://openalex.org/W3204133195","https://openalex.org/W4246219036","https://openalex.org/W4400564146"],"related_works":["https://openalex.org/W3161724164","https://openalex.org/W2113105229","https://openalex.org/W2164889171","https://openalex.org/W1859237763","https://openalex.org/W2048286546","https://openalex.org/W3097421206","https://openalex.org/W2349379571","https://openalex.org/W2992837541","https://openalex.org/W2037819582","https://openalex.org/W3208358470"],"abstract_inverted_index":{"Structural":[0],"identifiability":[1,102,148],"is":[2,34,84,155,167,210],"a":[3,6,139,179,193],"property":[4],"of":[5,26,30,89,103,106,111,164,172,206,215],"differential":[7,112],"model":[8,21,196],"with":[9,123,197],"parameters":[10,15],"that":[11,114,146,161],"allows":[12],"for":[13,37,78,109,152,192],"the":[14,20,24,49,87,104,162,170,173,185,204,213,216,222],"to":[16,57,71,81,97,189],"be":[17,55,72],"determined":[18],"from":[19,132],"equations":[22,33,91,108,151,183],"in":[23,45,117,130],"absence":[25],"noise.":[27],"The":[28],"method":[29,36,42,80],"input\u2013output":[31],"(IO)":[32],"one":[35,124,135],"verifying":[38],"structural":[39],"identifiability.":[40],"This":[41,144],"stands":[43],"out":[44],"its":[46,63],"importance":[47],"because":[48],"additional":[50],"insights":[51],"it":[52],"provides":[53],"can":[54,136],"used":[56],"analyze":[58],"and":[59,67,76,126,157,184,200],"improve":[60],"models.":[61],"However,":[62],"complete":[64],"theoretical":[65],"grounds":[66],"applicability":[68],"are":[69,92,225],"still":[70],"established.":[73],"A":[74],"subtlety":[75],"key":[77],"this":[79,95],"work":[82],"correctly":[83],"knowing":[85],"whether":[86],"coefficients":[88,105,171,214],"these":[90,153],"identifiable.":[93],"In":[94],"article,":[96],"address":[98],"this,":[99],"we":[100,159,177],"prove":[101],"IO":[107,150,174,182],"types":[110],"models":[113,122,129,154],"often":[115],"appear":[116],"practice,":[118],"such":[119],"as":[120,158],"linear":[121,127,194],"output":[125],"compartment":[128,195],"which,":[131],"each":[133],"compartment,":[134],"reach":[137],"either":[138],"leak":[140],"or":[141],"an":[142,198],"input.":[143],"shows":[145],"checking":[147],"via":[149],"legitimate,":[156],"prove,":[160],"field":[163,205],"identifiable":[165,208],"functions":[166,209],"generated":[168,211],"by":[169,212],"equations.":[175],"Finally,":[176],"exploit":[178],"connection":[180],"between":[181],"transfer":[186,217],"function":[187,218],"matrix":[188,219],"show":[190],"that,":[191],"input":[199],"strongly":[201],"connected":[202],"graph,":[203],"all":[207],"even":[220],"if":[221],"initial":[223],"conditions":[224],"generic.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
