{"id":"https://openalex.org/W2158349487","doi":"https://doi.org/10.1109/cdc.2009.5400718","title":"Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks","display_name":"Graphical and analytic criteria for the existence of protein level oscillations in cyclic gene regulatory networks","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2158349487","doi":"https://doi.org/10.1109/cdc.2009.5400718","mag":"2158349487"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-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/A5012594690","display_name":"Yutaka Hori","orcid":"https://orcid.org/0000-0002-3253-4985"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I14396692","display_name":"Tokyo University of Information Sciences","ror":"https://ror.org/044bdx604","country_code":"JP","type":"education","lineage":["https://openalex.org/I14396692"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yutaka Hori","raw_affiliation_strings":["Department of Information Physics and Computing, University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Physics and Computing, University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046488102","display_name":"Tae\u2010Hyoung Kim","orcid":"https://orcid.org/0000-0002-0257-3449"},"institutions":[{"id":"https://openalex.org/I67900169","display_name":"Chung-Ang University","ror":"https://ror.org/01r024a98","country_code":"KR","type":"education","lineage":["https://openalex.org/I67900169"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Tae-Hyoung Kim","raw_affiliation_strings":["School of Mechanical Engineering College Engineering, Chung Ang University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering College Engineering, Chung Ang University, Seoul, South Korea","institution_ids":["https://openalex.org/I67900169"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042960650","display_name":"Shinji Hara","orcid":"https://orcid.org/0000-0002-9539-9426"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I14396692","display_name":"Tokyo University of Information Sciences","ror":"https://ror.org/044bdx604","country_code":"JP","type":"education","lineage":["https://openalex.org/I14396692"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shinji Hara","raw_affiliation_strings":["Department of Information Physics and Computing, University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Physics and Computing, University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012594690"],"corresponding_institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.9186,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74269789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3521","last_page":"3526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9857000112533569,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9843999743461609,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6823306679725647},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6531450748443604},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6481114625930786},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5986222624778748},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5422827005386353},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.514744758605957},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5061141848564148},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.47827017307281494},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4710043966770172},{"id":"https://openalex.org/keywords/carry","display_name":"Carry (investment)","score":0.42867594957351685},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.4112085700035095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.404799222946167},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3865438401699066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3266218304634094},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.1898052990436554},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1420208215713501},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09311386942863464},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08595797419548035},{"id":"https://openalex.org/keywords/gene-expression","display_name":"Gene expression","score":0.0755724310874939}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6823306679725647},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6531450748443604},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6481114625930786},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5986222624778748},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5422827005386353},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.514744758605957},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5061141848564148},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.47827017307281494},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4710043966770172},{"id":"https://openalex.org/C2776299755","wikidata":"https://www.wikidata.org/wiki/Q432449","display_name":"Carry (investment)","level":2,"score":0.42867594957351685},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.4112085700035095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.404799222946167},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3865438401699066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3266218304634094},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.1898052990436554},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1420208215713501},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09311386942863464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08595797419548035},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.0755724310874939},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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:10.1109/cdc.2009.5400718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400718","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1549401731","https://openalex.org/W1574470162","https://openalex.org/W1576664335","https://openalex.org/W1599969036","https://openalex.org/W1645305843","https://openalex.org/W1971327350","https://openalex.org/W2021022239","https://openalex.org/W2023165891","https://openalex.org/W2025713944","https://openalex.org/W2032524484","https://openalex.org/W2066666147","https://openalex.org/W2092849785","https://openalex.org/W2096652107","https://openalex.org/W2117586514","https://openalex.org/W2134292960","https://openalex.org/W2144124504","https://openalex.org/W2151265887","https://openalex.org/W2158349487","https://openalex.org/W6633043205","https://openalex.org/W6674618282","https://openalex.org/W6681528248"],"related_works":["https://openalex.org/W2807720855","https://openalex.org/W4229867111","https://openalex.org/W1488770949","https://openalex.org/W2793180915","https://openalex.org/W2386495035","https://openalex.org/W1582047458","https://openalex.org/W2071291085","https://openalex.org/W2113094707","https://openalex.org/W1514266315","https://openalex.org/W1490628945"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,6,49,85],"criteria":[4,79],"for":[5,84],"existence":[7],"of":[8,15,51,62,88,91],"protein":[9],"level":[10],"oscillations":[11],"in":[12],"a":[13,20,43,58,66],"class":[14,50],"gene":[16],"regulatory":[17],"networks,":[18],"where":[19],"nonlinear":[21],"differential":[22],"equation":[23],"model":[24],"is":[25],"considered":[26],"to":[27,36,47],"analyze":[28],"its":[29,76],"dynamical":[30],"behavior.":[31],"There":[32],"are":[33,81,93,98],"two":[34],"steps":[35],"derive":[37],"such":[38],"criteria:":[39],"We":[40],"first":[41],"employ":[42],"Poincare\u00bf-Bendixson":[44],"type":[45],"theorem":[46],"restrict":[48],"solution":[52],"trajectories,":[53],"and":[54,75],"then":[55],"carry":[56],"out":[57],"local":[59],"stability":[60],"analysis":[61],"linearized":[63],"systems":[64],"with":[65],"generalized":[67],"frequency":[68],"variable.":[69],"Then,":[70],"our":[71],"main":[72],"results,":[73],"graphical":[74],"equivalent":[77],"analytic":[78],"which":[80],"easily":[82],"applicable":[83],"networks":[86],"consisting":[87],"arbitrary":[89],"number":[90],"genes,":[92],"derived.":[94],"Their":[95],"distinctive":[96],"features":[97],"also":[99],"verified":[100],"through":[101],"numerical":[102],"simulations.":[103]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
