{"id":"https://openalex.org/W3167027892","doi":"https://doi.org/10.1109/tcsii.2021.3086985","title":"Cluster Synchronization of Boolean Networks Under Probabilistic Function Perturbation","display_name":"Cluster Synchronization of Boolean Networks Under Probabilistic Function Perturbation","publication_year":2021,"publication_date":"2021-06-08","ids":{"openalex":"https://openalex.org/W3167027892","doi":"https://doi.org/10.1109/tcsii.2021.3086985","mag":"3167027892"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2021.3086985","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3086985","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5028602423","display_name":"Yixuan Ren","orcid":"https://orcid.org/0000-0002-5295-1938"},"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":true,"raw_author_name":"Yixuan Ren","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":"middle","author":{"id":"https://openalex.org/A5049482611","display_name":"Jianquan Lu","orcid":"https://orcid.org/0000-0003-4423-6034"},"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":"Jianquan Lu","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":"middle","author":{"id":"https://openalex.org/A5100356160","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-3761-0104"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["College of Mathematics and Computer Science, Zhejiang Normal University, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Zhejiang Normal University, Zhejiang, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013941056","display_name":"Kaibo Shi","orcid":"https://orcid.org/0000-0002-9863-9229"},"institutions":[{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaibo Shi","raw_affiliation_strings":["School of Information Science and Engineering, Chengdu University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Chengdu University, Chengdu, China","institution_ids":["https://openalex.org/I4210125143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028602423"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.3676,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.80822708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"69","issue":"2","first_page":"504","last_page":"508"},"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/T11289","display_name":"Single-cell and spatial transcriptomics","score":0.9610999822616577,"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/T10505","display_name":"Pluripotent Stem Cells Research","score":0.9509999752044678,"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.8238188028335571},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.7320511937141418},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6395689845085144},{"id":"https://openalex.org/keywords/algebraic-expression","display_name":"Algebraic expression","score":0.5884988903999329},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5312196016311646},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.5284711718559265},{"id":"https://openalex.org/keywords/boolean-model","display_name":"Boolean model","score":0.48781731724739075},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.47600945830345154},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.47287553548812866},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.41196149587631226},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3796943724155426},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.35731780529022217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3509896993637085},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.31327059864997864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2356249988079071},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.20274218916893005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19695588946342468},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12675127387046814},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.11946800351142883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11831045150756836},{"id":"https://openalex.org/keywords/gene-expression","display_name":"Gene expression","score":0.11342334747314453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11323726177215576},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11305180191993713},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09979167580604553}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.8238188028335571},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.7320511937141418},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6395689845085144},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.5884988903999329},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5312196016311646},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.5284711718559265},{"id":"https://openalex.org/C67499762","wikidata":"https://www.wikidata.org/wiki/Q4943358","display_name":"Boolean model","level":2,"score":0.48781731724739075},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.47600945830345154},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.47287553548812866},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.41196149587631226},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3796943724155426},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.35731780529022217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3509896993637085},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.31327059864997864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2356249988079071},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.20274218916893005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19695588946342468},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12675127387046814},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.11946800351142883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11831045150756836},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.11342334747314453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11323726177215576},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11305180191993713},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09979167580604553},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2021.3086985","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3086985","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2640660485","display_name":null,"funder_award_id":"61703060","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G622103538","display_name":null,"funder_award_id":"LR20F030001","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G6768575545","display_name":null,"funder_award_id":"61973078","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8217877192","display_name":null,"funder_award_id":"61802036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1971224531","https://openalex.org/W2057864643","https://openalex.org/W2058221907","https://openalex.org/W2110930780","https://openalex.org/W2121235966","https://openalex.org/W2136433622","https://openalex.org/W2152563826","https://openalex.org/W2344660126","https://openalex.org/W2726043678","https://openalex.org/W2801370262","https://openalex.org/W2903827508","https://openalex.org/W2943232867","https://openalex.org/W2946454615","https://openalex.org/W2947430442","https://openalex.org/W2964671799","https://openalex.org/W2970018239","https://openalex.org/W2972309152","https://openalex.org/W2973843340","https://openalex.org/W2997622225","https://openalex.org/W3000980125","https://openalex.org/W3021790782","https://openalex.org/W3033800488","https://openalex.org/W3034404538","https://openalex.org/W3044275224","https://openalex.org/W3082533117","https://openalex.org/W3137774199","https://openalex.org/W3140409016","https://openalex.org/W3141467375","https://openalex.org/W3152670133","https://openalex.org/W4210375380"],"related_works":["https://openalex.org/W2330768201","https://openalex.org/W1547839407","https://openalex.org/W1422717320","https://openalex.org/W4319977964","https://openalex.org/W2802063128","https://openalex.org/W2128085946","https://openalex.org/W3173345799","https://openalex.org/W4213370924","https://openalex.org/W1981041333","https://openalex.org/W3167027892"],"abstract_inverted_index":{"In":[0],"practical":[1],"gene":[2,5,12,39],"regulatory":[3],"networks,":[4],"expression":[6,60],"is":[7,68,104],"often":[8],"accompanied":[9],"by":[10,106],"stochastic":[11,38,55],"mutation.":[13],"This":[14],"brief":[15],"investigates":[16],"the":[17,47,58],"cluster":[18,85],"synchronization":[19,44,86],"problem":[20],"of":[21,46,61],"Boolean":[22,26],"networks":[23,28],"(BNs)":[24],"and":[25,41,72],"control":[27],"(BCNs)":[29],"under":[30,64,90],"probabilistic":[31,65,91],"function":[32,66,92],"perturbation,":[33],"which":[34],"can":[35,83],"better":[36],"characterize":[37],"mutation":[40],"explore":[42],"internal":[43],"mechanism":[45],"system.":[48],"By":[49],"transforming":[50],"BN":[51,62],"into":[52],"an":[53],"equivalent":[54],"logical":[56],"system,":[57],"algebraic":[59],"(BCN)":[63],"perturbation":[67],"derived.":[69],"Then,":[70],"necessary":[71],"sufficient":[73],"conditions":[74],"are":[75,98],"provided":[76],"so":[77],"as":[78,100],"to":[79],"distinguish":[80],"whether":[81],"systems":[82],"achieve":[84],"with":[87],"probability":[88],"one":[89],"perturbation.":[93],"Corresponding":[94],"state":[95],"feedback":[96],"controllers":[97],"designed":[99],"well.":[101],"The":[102],"effectiveness":[103],"demonstrated":[105],"numerical":[107],"examples.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}