{"id":"https://openalex.org/W2004819320","doi":"https://doi.org/10.1162/neco_a_00410","title":"Movement Duration, Fitts's Law, and an Infinite-Horizon Optimal Feedback Control Model for Biological Motor Systems","display_name":"Movement Duration, Fitts's Law, and an Infinite-Horizon Optimal Feedback Control Model for Biological Motor Systems","publication_year":2012,"publication_date":"2012-12-28","ids":{"openalex":"https://openalex.org/W2004819320","doi":"https://doi.org/10.1162/neco_a_00410","mag":"2004819320","pmid":"https://pubmed.ncbi.nlm.nih.gov/23272916"},"language":"en","primary_location":{"id":"doi:10.1162/neco_a_00410","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_00410","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101926903","display_name":"Ning Qian","orcid":"https://orcid.org/0000-0001-5168-9379"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Qian","raw_affiliation_strings":["Department of Neuroscience, and Department of Physiology and Cellular Biophysics, Columbia University, New York, NY 10032, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neuroscience, and Department of Physiology and Cellular Biophysics, Columbia University, New York, NY 10032, U.S.A","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043832320","display_name":"Yu Jiang","orcid":"https://orcid.org/0000-0001-8828-7832"},"institutions":[{"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"]},{"id":"https://openalex.org/I90965887","display_name":"SUNY Polytechnic Institute","ror":"https://ror.org/000fxgx19","country_code":"US","type":"education","lineage":["https://openalex.org/I90965887"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Jiang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201","Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201","institution_ids":["https://openalex.org/I90965887","https://openalex.org/I57206974"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201#TAB#","institution_ids":["https://openalex.org/I90965887","https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067046312","display_name":"Zhong\u2010Ping Jiang","orcid":"https://orcid.org/0000-0002-4868-9359"},"institutions":[{"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"]},{"id":"https://openalex.org/I90965887","display_name":"SUNY Polytechnic Institute","ror":"https://ror.org/000fxgx19","country_code":"US","type":"education","lineage":["https://openalex.org/I90965887"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhong-Ping Jiang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201","Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201","institution_ids":["https://openalex.org/I90965887","https://openalex.org/I57206974"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201#TAB#","institution_ids":["https://openalex.org/I90965887","https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039384247","display_name":"Pietro Mazzoni","orcid":"https://orcid.org/0000-0002-7367-8811"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pietro Mazzoni","raw_affiliation_strings":["Department of Neurology, Columbia University, New York, NY 10032"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurology, Columbia University, New York, NY 10032","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3028,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.7798344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"25","issue":"3","first_page":"697","last_page":"724"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10982","display_name":"Motor Control and Adaptation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10982","display_name":"Motor Control and Adaptation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10784","display_name":"Muscle activation and electromyography studies","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10581","display_name":"Neural dynamics and brain function","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6381218433380127},{"id":"https://openalex.org/keywords/duration","display_name":"Duration (music)","score":0.5178771018981934},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.4853900671005249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45944535732269287},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4469894766807556},{"id":"https://openalex.org/keywords/open-loop-controller","display_name":"Open-loop controller","score":0.42810356616973877},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.41569292545318604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40336695313453674},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24953240156173706},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1563369631767273},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.155592143535614},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13719603419303894},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.09057861566543579}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6381218433380127},{"id":"https://openalex.org/C112758219","wikidata":"https://www.wikidata.org/wiki/Q16038819","display_name":"Duration (music)","level":2,"score":0.5178771018981934},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.4853900671005249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45944535732269287},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4469894766807556},{"id":"https://openalex.org/C161362739","wikidata":"https://www.wikidata.org/wiki/Q2301555","display_name":"Open-loop controller","level":3,"score":0.42810356616973877},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.41569292545318604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40336695313453674},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24953240156173706},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1563369631767273},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.155592143535614},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13719603419303894},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.09057861566543579},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"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":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","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":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D011597","descriptor_name":"Psychomotor Performance","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D011597","descriptor_name":"Psychomotor Performance","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D011597","descriptor_name":"Psychomotor Performance","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1162/neco_a_00410","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_00410","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:23272916","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23272916","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":"Neural computation","raw_type":null},{"id":"pmh:oai:europepmc.org:3057871","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4082818","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7200000286102295}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W190227360","https://openalex.org/W1529954049","https://openalex.org/W1595581172","https://openalex.org/W1885639605","https://openalex.org/W1956636948","https://openalex.org/W1963525065","https://openalex.org/W1966415221","https://openalex.org/W1966452739","https://openalex.org/W1974245360","https://openalex.org/W1979251983","https://openalex.org/W1980440818","https://openalex.org/W1981187528","https://openalex.org/W1981828094","https://openalex.org/W1991512494","https://openalex.org/W2003613456","https://openalex.org/W2006206079","https://openalex.org/W2026406060","https://openalex.org/W2026559412","https://openalex.org/W2027840036","https://openalex.org/W2029776687","https://openalex.org/W2030813129","https://openalex.org/W2048347750","https://openalex.org/W2056706392","https://openalex.org/W2059909808","https://openalex.org/W2060750170","https://openalex.org/W2061536050","https://openalex.org/W2062630941","https://openalex.org/W2064527819","https://openalex.org/W2066577352","https://openalex.org/W2067440245","https://openalex.org/W2069166530","https://openalex.org/W2072632452","https://openalex.org/W2078691815","https://openalex.org/W2091542197","https://openalex.org/W2092349579","https://openalex.org/W2101576232","https://openalex.org/W2101896319","https://openalex.org/W2114793478","https://openalex.org/W2120225687","https://openalex.org/W2135101375","https://openalex.org/W2147955121","https://openalex.org/W2151094392","https://openalex.org/W2162056049","https://openalex.org/W2168443748","https://openalex.org/W2179427518","https://openalex.org/W4239127880"],"related_works":["https://openalex.org/W4256132489","https://openalex.org/W2162492316","https://openalex.org/W2359012561","https://openalex.org/W1538523502","https://openalex.org/W2156481787","https://openalex.org/W1521857137","https://openalex.org/W2901251206","https://openalex.org/W2156285637","https://openalex.org/W2167546557","https://openalex.org/W4390416207"],"abstract_inverted_index":{"Optimization":[0],"models":[1,12,38,223],"explain":[2],"many":[3],"aspects":[4],"of":[5,187,193,257,281],"biological":[6,266],"goal-directed":[7],"movements.":[8,82],"However,":[9],"most":[10],"such":[11],"use":[13,269],"a":[14,19,25,151],"finite-horizon":[15,222],"formulation,":[16],"which":[17],"requires":[18],"prefixed":[20,47,153],"movement":[21,35,66,141],"duration":[22,52,166],"to":[23,40,80,126,221,255],"define":[24],"cost":[26,230],"function":[27],"and":[28,57,75,89,104,107,111,123,131,143,164,184,204,240,250,261,276],"solve":[29],"the":[30,120,161,165,176,182,194,197,212,215,234,251],"optimization":[31,280],"problem.":[32],"To":[33,83],"predict":[34],"duration,":[36,178],"these":[37,85],"have":[39],"be":[41],"run":[42],"multiple":[43],"times":[44],"with":[45,97,150,171],"different":[46,191,258],"durations":[48],"until":[49],"an":[50,91,128,168],"appropriate":[51],"is":[53,76,158,167,231,247],"found":[54],"by":[55,160,288],"trial":[56],"error.":[58],"The":[59,117],"constrained":[60],"minimum":[61],"time":[62,154],"model":[63,118,162,198,235],"directly":[64],"predicts":[65],"duration;":[67],"however,":[68],"it":[69,133,139],"does":[70,236],"not":[71,237],"consider":[72],"sensory":[73,210],"feedback":[74,94],"thus":[77],"applicable":[78],"only":[79],"open-loop":[81],"address":[84],"problems,":[86],"we":[87,179],"analyzed":[88],"simulated":[90],"infinite-horizon":[92],"optimal":[93],"control":[95,142,274],"model,":[96],"linear":[98],"plants,":[99],"that":[100,224,265],"contains":[101],"both":[102,181],"control-dependent":[103],"control-independent":[105],"noise":[106],"optimizes":[108],"steady-state":[109,121,270],"accuracy":[110],"energetic":[112,229],"costs":[113,283],"per":[114],"unit":[115],"time.":[116],"applies":[119,254],"estimator":[122],"controller":[124],"continuously":[125],"guide":[127],"effector":[129,213],"to,":[130],"keep":[132],"at,":[134],"target":[135,216,227],"position.":[136],"As":[137],"such,":[138],"integrates":[140],"posture":[144],"maintenance":[145],"without":[146,217],"artificially":[147],"dividing":[148],"them":[149],"precise,":[152],"boundary.":[155],"Movement":[156],"pace":[157],"determined":[159],"parameters,":[163],"emergent":[169],"property":[170],"trial-to-trial":[172],"variability.":[173],"By":[174],"considering":[175],"mean":[177],"derived":[180],"log":[183],"power":[185],"forms":[186],"Fitts's":[188],"law":[189],"as":[190,272],"approximations":[192],"model.":[195],"Moreover,":[196],"reproduces":[199],"typically":[200],"observed":[201],"velocity":[202],"profiles":[203],"occasional":[205],"transient":[206,282],"overshoots.":[207],"For":[208],"unbiased":[209],"feedback,":[211],"reaches":[214],"bias,":[218],"in":[219,243],"contrast":[220],"systematically":[225],"undershoot":[226],"when":[228,284],"considered.":[232],"Finally,":[233],"involve":[238],"backward":[239],"forward":[241],"sweeps":[242],"time,":[244],"its":[245],"stability":[246],"easily":[248],"checked,":[249],"same":[252],"solution":[253],"movements":[256],"initial":[259],"conditions":[260],"distances.":[262],"We":[263],"argue":[264],"systems":[267],"could":[268],"solutions":[271],"default":[273],"mechanisms":[275],"might":[277],"seek":[278],"additional":[279],"justified":[285],"or":[286,290],"demanded":[287],"task":[289],"context.":[291]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
