{"id":"https://openalex.org/W2168047828","doi":"https://doi.org/10.1142/s0218127413501800","title":"COMPLEX DYNAMICAL ANALYSIS OF A COUPLED NETWORK FROM INNATE IMMUNE RESPONSES","display_name":"COMPLEX DYNAMICAL ANALYSIS OF A COUPLED NETWORK FROM INNATE IMMUNE RESPONSES","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W2168047828","doi":"https://doi.org/10.1142/s0218127413501800","mag":"2168047828"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413501800","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413501800","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5022347749","display_name":"Jinying Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I204823248","display_name":"Huazhong Agricultural University","ror":"https://ror.org/023b72294","country_code":"CN","type":"education","lineage":["https://openalex.org/I204823248"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"JINYING TAN","raw_affiliation_strings":["College of Science, Huazhong Agricultural University, Wuhan 430070, P. R. China","School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Huazhong Agricultural University, Wuhan 430070, P. R. China","institution_ids":["https://openalex.org/I204823248"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009409122","display_name":"Xiufen Zou","orcid":"https://orcid.org/0000-0001-5294-0764"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XIUFEN ZOU","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022347749"],"corresponding_institution_ids":["https://openalex.org/I204823248","https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":2.3929,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89191919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"11","first_page":"1350180","last_page":"1350180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.8006253242492676},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6385126113891602},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6245102286338806},{"id":"https://openalex.org/keywords/negative-feedback","display_name":"Negative feedback","score":0.6209709644317627},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5676246285438538},{"id":"https://openalex.org/keywords/positive-feedback","display_name":"Positive feedback","score":0.5428550243377686},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.512952983379364},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.5096828937530518},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4578610062599182},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43284425139427185},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.42082202434539795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37883132696151733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3616718649864197},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.3435174226760864},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21558964252471924},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12140250205993652},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08884254097938538},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08548501133918762},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07184034585952759}],"concepts":[{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.8006253242492676},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6385126113891602},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6245102286338806},{"id":"https://openalex.org/C93586867","wikidata":"https://www.wikidata.org/wiki/Q62527","display_name":"Negative feedback","level":3,"score":0.6209709644317627},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5676246285438538},{"id":"https://openalex.org/C48207687","wikidata":"https://www.wikidata.org/wiki/Q918004","display_name":"Positive feedback","level":2,"score":0.5428550243377686},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.512952983379364},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5096828937530518},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4578610062599182},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43284425139427185},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.42082202434539795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37883132696151733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3616718649864197},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.3435174226760864},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21558964252471924},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12140250205993652},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08884254097938538},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08548501133918762},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07184034585952759},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413501800","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413501800","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335577","display_name":"Major Research Plan","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1599969036","https://openalex.org/W1645305843","https://openalex.org/W1747497716","https://openalex.org/W1967668980","https://openalex.org/W1981560281","https://openalex.org/W1988507461","https://openalex.org/W1999613863","https://openalex.org/W2025138898","https://openalex.org/W2030945597","https://openalex.org/W2038819846","https://openalex.org/W2039143324","https://openalex.org/W2047882868","https://openalex.org/W2051497876","https://openalex.org/W2069877054","https://openalex.org/W2079871064","https://openalex.org/W2084734494","https://openalex.org/W2086265047","https://openalex.org/W2099822931","https://openalex.org/W2101647844","https://openalex.org/W2110699703","https://openalex.org/W2123880844","https://openalex.org/W2132086259","https://openalex.org/W2132828256","https://openalex.org/W2134759932","https://openalex.org/W2144588155","https://openalex.org/W2150114634","https://openalex.org/W2153624566","https://openalex.org/W2164348551","https://openalex.org/W2166860637","https://openalex.org/W2168364602","https://openalex.org/W4206651839","https://openalex.org/W4235527302"],"related_works":["https://openalex.org/W3103578537","https://openalex.org/W1977161816","https://openalex.org/W1573723843","https://openalex.org/W3214516348","https://openalex.org/W2613037436","https://openalex.org/W267301070","https://openalex.org/W2982558123","https://openalex.org/W1985796187","https://openalex.org/W1494281883","https://openalex.org/W2168047828"],"abstract_inverted_index":{"In":[0],"this":[1,60],"paper,":[2],"we":[3,49,68],"investigate":[4],"the":[5,32,38,43,71,93,97],"complex":[6],"dynamical":[7,46,75,94],"behaviors":[8],"of":[9,31,37,45,96],"a":[10],"biological":[11],"network":[12],"that":[13,21,51,70],"is":[14],"derived":[15],"from":[16],"innate":[17],"immune":[18],"responses":[19],"and":[20,24,48,65,81,88],"couples":[22],"positive":[23,87],"negative":[25,89],"feedback":[26,90],"loops.":[27],"The":[28],"stability":[29],"conditions":[30],"non-negative":[33],"equilibrium":[34],"points":[35],"(EPs)":[36],"system":[39,72],"are":[40],"obtained,":[41],"using":[42],"theory":[44],"systems,":[47],"deduce":[50],"no":[52],"more":[53],"than":[54],"three":[55],"stable":[56],"EPs":[57],"exist":[58],"in":[59],"system.":[61,98],"Through":[62],"bifurcation":[63],"analysis":[64],"numerical":[66],"simulations,":[67],"find":[69],"presents":[73],"rich":[74],"behaviors,":[76],"such":[77],"as":[78],"monostability,":[79],"bistability":[80],"oscillations.":[82],"These":[83],"results":[84],"reveal":[85],"how":[86],"cooperatively":[91],"regulate":[92],"behavior":[95]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}