{"id":"https://openalex.org/W3005809347","doi":"https://doi.org/10.1109/tac.2020.2973817","title":"State Estimation for Stochastic Time-Varying Boolean Networks","display_name":"State Estimation for Stochastic Time-Varying Boolean Networks","publication_year":2020,"publication_date":"2020-02-13","ids":{"openalex":"https://openalex.org/W3005809347","doi":"https://doi.org/10.1109/tac.2020.2973817","mag":"3005809347"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.2973817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2973817","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://bura.brunel.ac.uk/bitstream/2438/23907/3/FullText.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080563602","display_name":"Hongwei Chen","orcid":"https://orcid.org/0000-0002-7047-1014"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongwei Chen","raw_affiliation_strings":["College of Information Science and Technology, Donghua University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Donghua University, Shanghai, China","institution_ids":["https://openalex.org/I181326427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100699858","display_name":"Zidong Wang","orcid":"https://orcid.org/0000-0002-9576-7401"},"institutions":[{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]},{"id":"https://openalex.org/I60488453","display_name":"Middlesex University","ror":"https://ror.org/01rv4p989","country_code":"GB","type":"education","lineage":["https://openalex.org/I60488453"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zidong Wang","raw_affiliation_strings":["Department of Computer Science, Brunel University London, Middlesex, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brunel University London, Middlesex, U.K","institution_ids":["https://openalex.org/I59433898","https://openalex.org/I60488453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091673337","display_name":"Jinling Liang","orcid":"https://orcid.org/0000-0001-6910-7285"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinling Liang","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026237130","display_name":"Maozhen Li","orcid":"https://orcid.org/0000-0002-0820-5487"},"institutions":[{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]},{"id":"https://openalex.org/I60488453","display_name":"Middlesex University","ror":"https://ror.org/01rv4p989","country_code":"GB","type":"education","lineage":["https://openalex.org/I60488453"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Maozhen Li","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Brunel University London, Middlesex, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Brunel University London, Middlesex, U.K","institution_ids":["https://openalex.org/I59433898","https://openalex.org/I60488453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080563602"],"corresponding_institution_ids":["https://openalex.org/I181326427"],"apc_list":null,"apc_paid":null,"fwci":4.5057,"has_fulltext":true,"cited_by_count":83,"citation_normalized_percentile":{"value":0.95760968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"65","issue":"12","first_page":"5480","last_page":"5487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":1.0,"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":1.0,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9685999751091003,"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/T11289","display_name":"Single-cell and spatial transcriptomics","score":0.9578999876976013,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5309590697288513},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.46899986267089844},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45484814047813416},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.44159823656082153},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.42093080282211304},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.41296151280403137},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3932371139526367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37857821583747864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3770298361778259},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.3627394735813141},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10634386539459229}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5309590697288513},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.46899986267089844},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45484814047813416},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.44159823656082153},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.42093080282211304},{"id":"https://openalex.org/C27956954","wikidata":"https://www.wikidata.org/wiki/Q391371","display_name":"Bernoulli distribution","level":3,"score":0.41296151280403137},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3932371139526367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37857821583747864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3770298361778259},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.3627394735813141},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10634386539459229},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2020.2973817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2973817","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:bura.brunel.ac.uk:2438/23907","is_oa":true,"landing_page_url":"https://bura.brunel.ac.uk/handle/2438/23907","pdf_url":"http://bura.brunel.ac.uk/bitstream/2438/23907/3/FullText.pdf","source":{"id":"https://openalex.org/S4306401473","display_name":"Brunel University Research Archive (BURA) (Brunel University London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59433898","host_organization_name":"Brunel University of London","host_organization_lineage":["https://openalex.org/I59433898"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:bura.brunel.ac.uk:2438/23907","is_oa":true,"landing_page_url":"https://bura.brunel.ac.uk/handle/2438/23907","pdf_url":"http://bura.brunel.ac.uk/bitstream/2438/23907/3/FullText.pdf","source":{"id":"https://openalex.org/S4306401473","display_name":"Brunel University Research Archive (BURA) (Brunel University London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59433898","host_organization_name":"Brunel University of London","host_organization_lineage":["https://openalex.org/I59433898"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1807432837","display_name":null,"funder_award_id":"61873148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2802911279","display_name":null,"funder_award_id":"Young","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3316046930","display_name":null,"funder_award_id":"104-07-0053019","funder_id":"https://openalex.org/F4320323710","funder_display_name":"Donghua University"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3739019715","display_name":null,"funder_award_id":"2018YFB1003800","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5705614575","display_name":null,"funder_award_id":"61933007","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6864463332","display_name":null,"funder_award_id":"6193300","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7520588270","display_name":null,"funder_award_id":"61933007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8119885652","display_name":null,"funder_award_id":"Germany","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G8282800992","display_name":null,"funder_award_id":"61873148","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G944534920","display_name":null,"funder_award_id":"61673110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323710","display_name":"Donghua University","ror":"https://ror.org/035psfh38"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3005809347.pdf","grobid_xml":"https://content.openalex.org/works/W3005809347.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1259519000","https://openalex.org/W1971224531","https://openalex.org/W1971318969","https://openalex.org/W2007581236","https://openalex.org/W2008275926","https://openalex.org/W2030393377","https://openalex.org/W2030772003","https://openalex.org/W2046538693","https://openalex.org/W2049480816","https://openalex.org/W2059053384","https://openalex.org/W2069947940","https://openalex.org/W2076109986","https://openalex.org/W2077895748","https://openalex.org/W2082321879","https://openalex.org/W2088465320","https://openalex.org/W2099235429","https://openalex.org/W2109944603","https://openalex.org/W2110930780","https://openalex.org/W2121235966","https://openalex.org/W2129287973","https://openalex.org/W2143549867","https://openalex.org/W2149869214","https://openalex.org/W2167476310","https://openalex.org/W2266164648","https://openalex.org/W2267936660","https://openalex.org/W2297307567","https://openalex.org/W2331600386","https://openalex.org/W2343109992","https://openalex.org/W2344696827","https://openalex.org/W2429265837","https://openalex.org/W2486512961","https://openalex.org/W2527751063","https://openalex.org/W2543669550","https://openalex.org/W2569457109","https://openalex.org/W2592482446","https://openalex.org/W2594786382","https://openalex.org/W2612063052","https://openalex.org/W2729031071","https://openalex.org/W2905838353","https://openalex.org/W2940883221","https://openalex.org/W2947430442","https://openalex.org/W2980616093"],"related_works":["https://openalex.org/W2075126249","https://openalex.org/W2105128170","https://openalex.org/W2918709778","https://openalex.org/W1991822629","https://openalex.org/W3141532631","https://openalex.org/W52722086","https://openalex.org/W2495550620","https://openalex.org/W2995277268","https://openalex.org/W2558644562","https://openalex.org/W2011175857"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"a":[3,24,35,101,164],"general":[4],"theoretical":[5],"framework":[6],"is":[7,89,105,134,154,167],"developed":[8],"for":[9,147,170],"the":[10,28,31,38,42,46,50,73,87,93,109,115,123,127,130,142,148,160,171,176],"state":[11,117,128,145],"estimation":[12,113,173],"problem":[13,174],"of":[14,23,30,57,66,86,114,126,175],"stochastic":[15,62],"time-varying":[16],"Boolean":[17,32,43,124,131],"networks":[18],"(STVBNs).":[19],"The":[20,150],"STVBN":[21],"consists":[22],"system":[25],"model":[26,36],"describing":[27],"evolution":[29],"states":[33],"and":[34,49,112],"relating":[37],"noisy":[39],"measurements":[40],"to":[41,107,122,140,159],"states.":[44],"Both":[45],"process":[47],"noise":[48,52],"measurement":[51],"are":[53],"characterized":[54],"by":[55,157],"sequences":[56],"mutually":[58],"independent":[59],"Bernoulli":[60],"distributed":[61],"variables":[63,75],"taking":[64],"values":[65],"1":[67],"or":[68],"0,":[69],"which":[70],"imply":[71],"that":[72,136],"state/measurement":[74],"may":[76],"be":[77,138],"flipped":[78],"with":[79],"certain":[80],"probabilities.":[81],"First,":[82],"an":[83],"algebraic":[84],"representation":[85],"STVBNs":[88],"derived":[90],"based":[91,97],"on":[92,98],"semitensor":[94],"product.":[95],"Then,":[96],"Bayes'":[99],"theorem,":[100],"recursive":[102],"matrix-based":[103],"algorithm":[104],"obtained":[106,156],"calculate":[108],"one-step":[110],"prediction":[111],"forward-backward":[116,161],"probability":[118],"distribution":[119],"vectors.":[120],"Owing":[121],"nature":[125],"variables,":[129],"Bayesian":[132],"filter":[133,153],"designed":[135],"can":[137],"utilized":[139],"provide":[141],"minimum":[143],"MSE":[144],"estimate":[146],"STVBNs.":[149],"fixed-interval":[151],"smoothing":[152],"also":[155],"resorting":[158],"technique.":[162],"Finally,":[163],"simulation":[165],"experiment":[166],"carried":[168],"out":[169],"context":[172],"$p53$-$MDM2$":[177],"negative-feedback":[178],"gene":[179],"regulatory":[180],"network.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}
