{"id":"https://openalex.org/W246539152","doi":"https://doi.org/10.1073/pnas.1509597112","title":"Limits to the precision of gradient sensing with spatial communication and temporal integration","display_name":"Limits to the precision of gradient sensing with spatial communication and temporal integration","publication_year":2016,"publication_date":"2016-01-20","ids":{"openalex":"https://openalex.org/W246539152","doi":"https://doi.org/10.1073/pnas.1509597112","mag":"246539152","pmid":"https://pubmed.ncbi.nlm.nih.gov/26792517","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/4760817"},"language":"en","primary_location":{"id":"doi:10.1073/pnas.1509597112","doi":"https://doi.org/10.1073/pnas.1509597112","is_oa":false,"landing_page_url":"https://doi.org/10.1073/pnas.1509597112","pdf_url":null,"source":{"id":"https://openalex.org/S125754415","display_name":"Proceedings of the National Academy of Sciences","issn_l":"0027-8424","issn":["0027-8424","1091-6490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320052","host_organization_name":"National Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320052"],"host_organization_lineage_names":["National Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the National Academy of Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4760817","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011808796","display_name":"Andrew Mugler","orcid":"https://orcid.org/0000-0001-9367-7026","observed_orcids":["https://orcid.org/0000-0001-9367-7026"]},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]},{"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":"Andrew Mugler","raw_affiliation_strings":["Department of Physics, Emory University, Atlanta, GA 30322;","Department of Physics, Purdue University, West Lafayette, IN 47907;","aDepartment of Physics, Purdue University, West Lafayette, IN 47907;","bDepartment of Physics, Emory University, Atlanta, GA 30322;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Emory University, Atlanta, GA 30322;","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Physics, Purdue University, West Lafayette, IN 47907;","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"aDepartment of Physics, Purdue University, West Lafayette, IN 47907;","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"bDepartment of Physics, Emory University, Atlanta, GA 30322;","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018571414","display_name":"Andre Levchenko","orcid":"https://orcid.org/0000-0001-6262-1222","observed_orcids":["https://orcid.org/0000-0001-6262-1222"]},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andre Levchenko","raw_affiliation_strings":["Department of Biomedical Engineering and Yale Systems Biology Institute, Yale University, New Haven, CT 06520;","cDepartment of Biomedical Engineering and Yale Systems Biology Institute, Yale University, New Haven, CT 06520;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering and Yale Systems Biology Institute, Yale University, New Haven, CT 06520;","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"cDepartment of Biomedical Engineering and Yale Systems Biology Institute, Yale University, New Haven, CT 06520;","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071388278","display_name":"Ilya M. Nemenman","orcid":"https://orcid.org/0000-0003-3024-4244","observed_orcids":["https://orcid.org/0000-0003-3024-4244"]},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilya Nemenman","raw_affiliation_strings":["Department of Biology, Emory University, Atlanta, GA 30322","Department of Physics, Emory University, Atlanta, GA 30322;","dDepartment of Biology, Emory University, Atlanta, GA 30322"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biology, Emory University, Atlanta, GA 30322","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Physics, Emory University, Atlanta, GA 30322;","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"dDepartment of Biology, Emory University, Atlanta, GA 30322","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.7137,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.96668445,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"113","issue":"6","first_page":"E689","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9545999765396118,"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"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9545999765396118,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.013700000010430813,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.010099999606609344,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gradient-sensing","display_name":"gradient sensing","score":0.9890000224113464},{"id":"https://openalex.org/keywords/precision-limits","display_name":"precision limits","score":0.5630000233650208},{"id":"https://openalex.org/keywords/intercellular-communication","display_name":"intercellular communication","score":0.47099998593330383},{"id":"https://openalex.org/keywords/temporal-integration","display_name":"temporal integration","score":0.968999981880188},{"id":"https://openalex.org/keywords/multicellular-systems","display_name":"multicellular systems","score":0.800000011920929},{"id":"https://openalex.org/keywords/measurement-noise","display_name":"measurement noise","score":0.6129999756813049},{"id":"https://openalex.org/keywords/sensing-range","display_name":"sensing range","score":0.32499998807907104}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6552927494049072},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6410112380981445},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.459448903799057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40683138370513916},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.37276026606559753},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0945248007774353},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D002450","descriptor_name":"Cell Communication","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1073/pnas.1509597112","doi":"https://doi.org/10.1073/pnas.1509597112","is_oa":false,"landing_page_url":"https://doi.org/10.1073/pnas.1509597112","pdf_url":null,"source":{"id":"https://openalex.org/S125754415","display_name":"Proceedings of the National Academy of Sciences","issn_l":"0027-8424","issn":["0027-8424","1091-6490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320052","host_organization_name":"National Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320052"],"host_organization_lineage_names":["National Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the National Academy of Sciences","raw_type":"journal-article"},{"id":"pmh:oai:europepmc.org:3937854","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4760817","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,"listed_in":[],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:4760817","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4760817","pdf_url":null,"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,"listed_in":[],"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":"Proc Natl Acad Sci U S A","raw_type":"Text"},{"id":"pmid:26792517","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26792517","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,"listed_in":[],"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":"Proceedings of the National Academy of Sciences of the United States of America","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1505.04346","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.04346","pdf_url":"https://arxiv.org/pdf/1505.04346","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.1505.04346","doi":"https://doi.org/10.48550/arxiv.1505.04346","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.04346","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:europepmc.org:3937854","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4760817","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,"listed_in":[],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1167258308","display_name":"In search of simplicity: Coarse-graining cellular information processing networks","funder_award_id":"220020321","funder_id":"https://openalex.org/F4320306183","funder_display_name":"James S. McDonnell Foundation"},{"id":"https://openalex.org/G3246734036","display_name":null,"funder_award_id":"RGY 0084/2011","funder_id":"https://openalex.org/F4320320338","funder_display_name":"Human Frontier Science Program"},{"id":"https://openalex.org/G5762352137","display_name":"Analysis of the Signaling and Mechanical Cues Promoting Invasion in Melanoma","funder_award_id":"U01CA155758","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G6025863663","display_name":null,"funder_award_id":"GM072024","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G6357657567","display_name":null,"funder_award_id":"CA155758","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G6961800421","display_name":"Collaborative Research: Multicellular Communication in Gradient Sensing","funder_award_id":"1410545","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7549996139","display_name":"Collaborative Research: Multicellular Communication in Gradient Sensing","funder_award_id":"1410978","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G888082075","display_name":"Comparative Analysis of Information Transfer in NF-kappaB and MAPK Pathways","funder_award_id":"R01GM072024","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306087","display_name":"Semiconductor Research Corporation","ror":"https://ror.org/047z4n946"},{"id":"https://openalex.org/F4320306183","display_name":"James S. McDonnell Foundation","ror":"https://ror.org/03dy4aq19"},{"id":"https://openalex.org/F4320320338","display_name":"Human Frontier Science Program","ror":"https://ror.org/02ebx7v45"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1522061490","https://openalex.org/W1969375579","https://openalex.org/W1990600712","https://openalex.org/W1996207795","https://openalex.org/W2001932342","https://openalex.org/W2002512051","https://openalex.org/W2009956378","https://openalex.org/W2015809403","https://openalex.org/W2019410556","https://openalex.org/W2022740283","https://openalex.org/W2024108044","https://openalex.org/W2024184910","https://openalex.org/W2027052704","https://openalex.org/W2027306248","https://openalex.org/W2035067052","https://openalex.org/W2041797933","https://openalex.org/W2041951716","https://openalex.org/W2042277916","https://openalex.org/W2043078890","https://openalex.org/W2044993635","https://openalex.org/W2050286137","https://openalex.org/W2052685859","https://openalex.org/W2056961883","https://openalex.org/W2059597336","https://openalex.org/W2061643502","https://openalex.org/W2063575816","https://openalex.org/W2078380843","https://openalex.org/W2078760718","https://openalex.org/W2087538969","https://openalex.org/W2120170134","https://openalex.org/W2143368326","https://openalex.org/W2145013849","https://openalex.org/W2147491758","https://openalex.org/W2148043530","https://openalex.org/W2157737080","https://openalex.org/W2161420227","https://openalex.org/W2167154952","https://openalex.org/W2188659719","https://openalex.org/W2259429874","https://openalex.org/W2997829126","https://openalex.org/W3015735662","https://openalex.org/W4248712191"],"related_works":["https://openalex.org/W2809555276","https://openalex.org/W2285743579","https://openalex.org/W6889146397","https://openalex.org/W2603184033","https://openalex.org/W2440233647","https://openalex.org/W2600592372","https://openalex.org/W1610630261","https://openalex.org/W4220680413","https://openalex.org/W1996207795","https://openalex.org/W2259429874"],"abstract_inverted_index":{"Gradient":[0],"sensing":[1,64,201],"requires":[2],"at":[3,7],"least":[4],"two":[5],"measurements":[6,13],"different":[8],"points":[9],"in":[10,65,107],"space.":[11],"These":[12],"must":[14],"then":[15],"be":[16,23,142],"communicated":[17],"to":[18,22,59,109,209],"a":[19,66,81,84,133,191],"common":[20],"location":[21],"compared,":[24],"which":[25,138],"is":[26,31,77,96,114,151,157,172,212],"unavoidably":[27],"noisy.":[28],"Although":[29],"much":[30],"known":[32],"about":[33],"the":[34,41,45,56,60,89,93,102,110,120,126,154,167,177,181,185,207],"limits":[35,42,58,202],"of":[36,62,88,122,125,176],"measurement":[37,127,186],"precision":[38,61,117,150],"by":[39,44,51,79],"cells,":[40],"placed":[43],"communication":[46,71,113,131],"are":[47,203],"not":[48],"understood.":[49],"Motivated":[50],"recent":[52],"experiments,":[53],"we":[54,105,146],"derive":[55],"fundamental":[57,200],"gradient":[63,76],"multicellular":[67],"system,":[68],"accounting":[69],"for":[70],"and":[72,83],"temporal":[73],"integration.":[74],"The":[75,170],"estimated":[78],"comparing":[80],"\"local\"":[82],"\"global\"":[85],"molecular":[86],"reporter":[87,95,156,179],"external":[90],"concentration,":[91],"where":[92],"global":[94,168],"exchanged":[97,158],"between":[98,159],"neighboring":[99],"cells.":[100],"Using":[101],"fluctuation-dissipation":[103],"framework,":[104],"find,":[106],"contrast":[108],"case":[111],"when":[112,206],"ignored,":[115],"that":[116,149,173,199],"saturates":[118],"with":[119],"number":[121],"cells":[123,160],"independently":[124],"time":[128],"duration,":[129],"because":[130],"establishes":[132],"maximum":[134],"length":[135],"scale":[136],"over":[137],"sensory":[139],"information":[140,211],"can":[141],"reliably":[143],"conveyed.":[144],"Surprisingly,":[145],"also":[147],"find":[148],"improved":[152],"if":[153],"local":[155,178],"as":[161],"well,":[162],"albeit":[163],"more":[164],"slowly":[165],"than":[166],"reporter.":[169],"reason":[171],"whereas":[174],"exchange":[175],"weakens":[180],"comparison,":[182],"it":[183],"decreases":[184],"noise.":[187],"We":[188],"term":[189],"such":[190],"model":[192],"\"regional":[193],"excitation-global":[194],"inhibition.\"":[195],"Our":[196],"results":[197],"demonstrate":[198],"necessarily":[204],"sharpened":[205],"need":[208],"communicate":[210],"taken":[213],"into":[214],"account.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":13},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":8}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
