{"id":"https://openalex.org/W2156540458","doi":"https://doi.org/10.1093/bioinformatics/btn396","title":"Mixture models for protein structure ensembles","display_name":"Mixture models for protein structure ensembles","publication_year":2008,"publication_date":"2008-07-28","ids":{"openalex":"https://openalex.org/W2156540458","doi":"https://doi.org/10.1093/bioinformatics/btn396","mag":"2156540458","pmid":"https://pubmed.ncbi.nlm.nih.gov/18662925"},"language":"en","primary_location":{"id":"doi:10.1093/bioinformatics/btn396","is_oa":true,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btn396","pdf_url":"https://academic.oup.com/bioinformatics/article-pdf/24/19/2184/49052494/bioinformatics_24_19_2184.pdf","source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/bioinformatics/article-pdf/24/19/2184/49052494/bioinformatics_24_19_2184.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067089721","display_name":"Michael Hirsch","orcid":"https://orcid.org/0000-0001-6183-6256"},"institutions":[{"id":"https://openalex.org/I4210112458","display_name":"Max Planck Institute for Developmental Biology","ror":"https://ror.org/022jc0g24","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112458"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Hirsch","raw_affiliation_strings":["1 Department of Empirical Inference, Max-Planck-Institute for Biological Cybernetics, Spemannstrasse 38 and 2Department of Protein Evolution, Max-Planck-Institute for Developmental Biology, Spemannstrasse 35, 72076 T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Department of Empirical Inference, Max-Planck-Institute for Biological Cybernetics, Spemannstrasse 38 and 2Department of Protein Evolution, Max-Planck-Institute for Developmental Biology, Spemannstrasse 35, 72076 T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I4210112458","https://openalex.org/I4210112925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062146626","display_name":"Michael Habeck","orcid":"https://orcid.org/0000-0002-2188-5667"},"institutions":[{"id":"https://openalex.org/I4210112458","display_name":"Max Planck Institute for Developmental Biology","ror":"https://ror.org/022jc0g24","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112458"]},{"id":"https://openalex.org/I4210112925","display_name":"Max Planck Institute for Biological Cybernetics","ror":"https://ror.org/026nmvv73","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210112925"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Habeck","raw_affiliation_strings":["1 Department of Empirical Inference, Max-Planck-Institute for Biological Cybernetics, Spemannstrasse 38 and 2Department of Protein Evolution, Max-Planck-Institute for Developmental Biology, Spemannstrasse 35, 72076 T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Department of Empirical Inference, Max-Planck-Institute for Biological Cybernetics, Spemannstrasse 38 and 2Department of Protein Evolution, Max-Planck-Institute for Developmental Biology, Spemannstrasse 35, 72076 T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I4210112458","https://openalex.org/I4210112925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062146626"],"corresponding_institution_ids":["https://openalex.org/I4210112458","https://openalex.org/I4210112925"],"apc_list":{"value":3618,"currency":"USD","value_usd":3618},"apc_paid":null,"fwci":0.1404,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.56791319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"19","first_page":"2184","last_page":"2192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.6880999803543091,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.6880999803543091,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.06729999929666519,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.03060000017285347,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformational-ensembles","display_name":"Conformational ensembles","score":0.6633685231208801},{"id":"https://openalex.org/keywords/conformational-entropy","display_name":"Conformational entropy","score":0.6569022536277771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5806618332862854},{"id":"https://openalex.org/keywords/protein-structure","display_name":"Protein structure","score":0.5324115753173828},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.47383150458335876},{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.46389105916023254},{"id":"https://openalex.org/keywords/conformational-isomerism","display_name":"Conformational isomerism","score":0.4607544541358948},{"id":"https://openalex.org/keywords/ensemble-forecasting","display_name":"Ensemble forecasting","score":0.44948655366897583},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.4373663067817688},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.42510196566581726},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4194149971008301},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3670985698699951},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34032225608825684},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.290258526802063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15716424584388733},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1386699676513672},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.09625396132469177}],"concepts":[{"id":"https://openalex.org/C2777936996","wikidata":"https://www.wikidata.org/wiki/Q17148461","display_name":"Conformational ensembles","level":3,"score":0.6633685231208801},{"id":"https://openalex.org/C69308434","wikidata":"https://www.wikidata.org/wiki/Q5160266","display_name":"Conformational entropy","level":3,"score":0.6569022536277771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5806618332862854},{"id":"https://openalex.org/C47701112","wikidata":"https://www.wikidata.org/wiki/Q735188","display_name":"Protein structure","level":2,"score":0.5324115753173828},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.47383150458335876},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.46389105916023254},{"id":"https://openalex.org/C18705241","wikidata":"https://www.wikidata.org/wiki/Q1128023","display_name":"Conformational isomerism","level":3,"score":0.4607544541358948},{"id":"https://openalex.org/C119898033","wikidata":"https://www.wikidata.org/wiki/Q3433888","display_name":"Ensemble forecasting","level":2,"score":0.44948655366897583},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.4373663067817688},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.42510196566581726},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4194149971008301},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3670985698699951},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34032225608825684},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.290258526802063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15716424584388733},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1386699676513672},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.09625396132469177},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","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}],"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":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008958","descriptor_name":"Models, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011487","descriptor_name":"Protein Conformation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011487","descriptor_name":"Protein Conformation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011487","descriptor_name":"Protein Conformation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011506","descriptor_name":"Proteins","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D011506","descriptor_name":"Proteins","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D011506","descriptor_name":"Proteins","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1093/bioinformatics/btn396","is_oa":true,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btn396","pdf_url":"https://academic.oup.com/bioinformatics/article-pdf/24/19/2184/49052494/bioinformatics_24_19_2184.pdf","source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bioinformatics","raw_type":"journal-article"},{"id":"pmid:18662925","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18662925","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":"Bioinformatics (Oxford, England)","raw_type":null},{"id":"pmh:oai:edoc.mpg.de:419901","is_oa":false,"landing_page_url":"http://edoc.mpg.de/419901","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bioinformatics, v.24, 2184-2192 (2008)","raw_type":"Article"},{"id":"pmh:oai:edoc.mpg.de:420382","is_oa":false,"landing_page_url":"http://edoc.mpg.de/420382","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bioinformatics, v.24, 2184-2192 (2008)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_1789591","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-C6AB-A","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bioinformatics","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1093/bioinformatics/btn396","is_oa":true,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btn396","pdf_url":"https://academic.oup.com/bioinformatics/article-pdf/24/19/2184/49052494/bioinformatics_24_19_2184.pdf","source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1491642680","https://openalex.org/W1511973158","https://openalex.org/W1554663460","https://openalex.org/W1606198627","https://openalex.org/W1607198972","https://openalex.org/W1979154012","https://openalex.org/W1981855665","https://openalex.org/W1996421004","https://openalex.org/W2005008560","https://openalex.org/W2017228703","https://openalex.org/W2044626483","https://openalex.org/W2049633694","https://openalex.org/W2051091550","https://openalex.org/W2057691786","https://openalex.org/W2087500715","https://openalex.org/W2103956655","https://openalex.org/W2112081648","https://openalex.org/W2115295332","https://openalex.org/W2120636621","https://openalex.org/W2123727040","https://openalex.org/W2125760879","https://openalex.org/W2126551164","https://openalex.org/W2135997360","https://openalex.org/W2136567909","https://openalex.org/W2162244749","https://openalex.org/W2165969670","https://openalex.org/W2166698530","https://openalex.org/W2166905169","https://openalex.org/W2797746357","https://openalex.org/W2949250147","https://openalex.org/W3140968660","https://openalex.org/W4388297464","https://openalex.org/W6636348609","https://openalex.org/W6678007500"],"related_works":["https://openalex.org/W4243430028","https://openalex.org/W1996952757","https://openalex.org/W3111457396","https://openalex.org/W2007486560","https://openalex.org/W2172114588","https://openalex.org/W2152903006","https://openalex.org/W3172795616","https://openalex.org/W2156540458","https://openalex.org/W2068275149","https://openalex.org/W1980430311"],"abstract_inverted_index":{"MOTIVATION:":[0],"Protein":[1],"structure":[2,179],"ensembles":[3],"provide":[4,65],"important":[5,91],"insight":[6],"into":[7,188],"the":[8,37,57,69,102,121,164,185,217,253],"dynamics":[9,234],"and":[10,15,54,129,196,210,236],"function":[11],"of":[12,56,80,104,144,148,219],"a":[13,23,32,72,138,142,160,178,213],"protein":[14,122,139,161,186,247],"contain":[16,211],"information":[17,66,125],"that":[18],"is":[19,29,42,89,250],"not":[20,30,64],"captured":[21],"with":[22],"single":[24,214],"static":[25],"structure.":[26],"However,":[27],"it":[28,88],"clear":[31],"priori":[33],"to":[34,67,71,92,118,173,208,229],"what":[35],"extent":[36],"variability":[38,49],"within":[39],"an":[40,111],"ensemble":[41,123,140,162,248],"caused":[43],"by":[44],"internal":[45],"structural":[46,83,153,191,222],"changes.":[47],"Additional":[48],"results":[50],"from":[51,95,107,120,159,252],"overall":[52],"translations":[53],"rotations":[55],"molecule.":[58],"And":[59],"most":[60],"experimental":[61,231],"data":[62],"do":[63],"relate":[68],"structures":[70],"common":[73],"reference":[74,127],"frame.":[75],"To":[76,133],"report":[77],"meaningful":[78],"values":[79],"intrinsic":[81],"dynamics,":[82],"precision,":[84],"conformational":[85,97,131,237],"entropy,":[86],"etc.,":[87],"therefore":[90],"disentangle":[93],"local":[94,106],"global":[96,108],"heterogeneity.":[98],"RESULTS:":[99],"We":[100,114,155],"consider":[101],"task":[103],"disentangling":[105],"heterogeneity":[109],"as":[110,141],"inference":[112],"problem.":[113],"use":[115],"probabilistic":[116],"methods":[117],"infer":[119],"missing":[124],"on":[126],"frames":[128],"stable":[130,190],"sub-states.":[132],"this":[134],"end,":[135],"we":[136],"model":[137,169,183],"mixture":[143],"Gaussian":[145],"probability":[146],"distributions":[147],"either":[149],"entire":[150],"conformations":[151],"or":[152,193,221],"segments.":[154,223],"learn":[156],"these":[157],"models":[158,205,225],"using":[163],"expectation-maximization":[165],"algorithm.":[166],"Our":[167,224],"first":[168],"can":[170,226],"be":[171,227],"used":[172,228],"find":[174],"multiple":[175],"conformers":[176,220],"in":[177,202,239],"ensemble.":[180],"The":[181,242],"second":[182],"partitions":[184],"chain":[187],"locally":[189],"segments":[192],"core":[194],"elements":[195],"less":[197],"structured":[198],"regions":[199],"typically":[200],"found":[201],"loops.":[203],"Both":[204],"are":[206],"simple":[207],"implement":[209],"only":[212],"free":[215],"parameter:":[216],"number":[218],"analyse":[230],"ensembles,":[232],"molecular":[233],"trajectories":[235],"change":[238],"proteins.":[240],"AVAILABILITY:":[241],"Python":[243],"source":[244],"code":[245],"for":[246],"analysis":[249],"available":[251],"authors":[254],"upon":[255],"request.":[256]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}