{"id":"https://openalex.org/W1989121972","doi":"https://doi.org/10.1109/acc.2010.5531239","title":"Stability analysis of a class of biological network models","display_name":"Stability analysis of a class of biological network models","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1989121972","doi":"https://doi.org/10.1109/acc.2010.5531239","mag":"1989121972"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5531239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American 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/A5031516064","display_name":"Nader Motee","orcid":"https://orcid.org/0000-0002-0597-3659"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N Motee","raw_affiliation_strings":["Control and Dynamical Systems Department, California Institute of Technology, Pasadena, CA, USA","Control and Dynamical Systems Department, California Institute of Technology, 1200 E. California Blvd, Pasadena, 91125 USA"],"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems Department, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Control and Dynamical Systems Department, California Institute of Technology, 1200 E. California Blvd, Pasadena, 91125 USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071239059","display_name":"Bassam Bamieh","orcid":"https://orcid.org/0000-0001-9237-4613"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B Bamieh","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Santa Barbara, CA, USA","Department of Mechanical Engineering, University of California, Santa Barbara, 93106, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, 93106, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018485369","display_name":"Mustafa Khammash","orcid":"https://orcid.org/0000-0002-4855-9220"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M Khammash","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Santa Barbara, CA, USA","Department of Mechanical Engineering, University of California, Santa Barbara, 93106, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, 93106, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031516064"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":0.5287,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64341238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5936","last_page":"5941"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9944999814033508,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/orthant","display_name":"Orthant","score":0.8050656318664551},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7824544310569763},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6835201382637024},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6194220185279846},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5302642583847046},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5138516426086426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5119456052780151},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47309258580207825},{"id":"https://openalex.org/keywords/biological-network","display_name":"Biological network","score":0.4715578556060791},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43795284628868103},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4109885096549988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36938196420669556},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3430444598197937},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.13586902618408203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12961113452911377},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11260104179382324},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08742654323577881}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.8050656318664551},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7824544310569763},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6835201382637024},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6194220185279846},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5302642583847046},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5138516426086426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5119456052780151},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47309258580207825},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.4715578556060791},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43795284628868103},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4109885096549988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36938196420669556},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3430444598197937},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.13586902618408203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12961113452911377},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11260104179382324},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08742654323577881},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2010.5531239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American 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":10,"referenced_works":["https://openalex.org/W1573672270","https://openalex.org/W1606815384","https://openalex.org/W2022907226","https://openalex.org/W2028850079","https://openalex.org/W2040720350","https://openalex.org/W2045166891","https://openalex.org/W2134244720","https://openalex.org/W2136459831","https://openalex.org/W2139707868","https://openalex.org/W2167238904"],"related_works":["https://openalex.org/W772650738","https://openalex.org/W2044221060","https://openalex.org/W2112958926","https://openalex.org/W3037833187","https://openalex.org/W4293414471","https://openalex.org/W2950768703","https://openalex.org/W2067698461","https://openalex.org/W832725505","https://openalex.org/W2400272108","https://openalex.org/W819457920"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,71],"establish":[4],"stability":[5,55],"conditions":[6,77],"for":[7,134],"a":[8,37,58,117,136],"special":[9,38],"class":[10,39,59],"of":[11,24,40,57,60,80,92,102,132],"interconnected":[12],"systems":[13,42,62,83],"arisen":[14],"in":[15,46],"several":[16],"biochemical":[17,26,114],"applications.":[18],"It":[19],"is":[20,140],"known":[21],"that":[22,36,73,126],"most":[23],"the":[25,47,53,78,81,85,90,130],"processes":[27],"can":[28,43,128],"be":[29,44],"represented":[30],"using":[31],"quasi-polynomial":[32,41,61,82],"systems.":[33],"We":[34,51,124],"show":[35,72,125],"cast":[45],"Lotka-Volterra":[48],"canonical":[49],"form.":[50],"study":[52],"asymptotic":[54],"properties":[56],"which":[63,135],"are":[64,97],"relevant":[65],"to":[66,89,99],"biological":[67,105],"network":[68],"models.":[69],"First,":[70],"under":[74],"some":[75],"sufficient":[76],"solutions":[79],"(in":[84],"positive":[86],"orthant)":[87],"converge":[88],"set":[91],"equilibrium":[93],"points.":[94],"These":[95],"results":[96],"applied":[98],"parameterized":[100,138],"models":[101],"three":[103],"different":[104],"systems:":[106],"generalized":[107],"mass":[108],"action":[109],"(GMA)":[110],"model,":[111],"an":[112],"oscillating":[113],"network,":[115],"and":[116],"reduced":[118],"order":[119],"model":[120,139],"with":[121],"Hill":[122],"function.":[123],"one":[127],"find":[129],"range":[131],"parameters":[133],"given":[137],"stable.":[141]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}