{"id":"https://openalex.org/W2167090864","doi":"https://doi.org/10.1109/cdc.2009.5400809","title":"Verification of multistability in gene regulation networks: A combinatorial approach","display_name":"Verification of multistability in gene regulation networks: A combinatorial approach","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2167090864","doi":"https://doi.org/10.1109/cdc.2009.5400809","mag":"2167090864"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400809","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400809","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/A5053854346","display_name":"Christian Breindl","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Breindl","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allgower","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053854346"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":0.2625,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59977851,"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":"5637","last_page":"5642"},"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9894000291824341,"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/T11178","display_name":"Receptor Mechanisms and Signaling","score":0.9611999988555908,"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/multistability","display_name":"Multistability","score":0.9593149423599243},{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.8071737289428711},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6339448690414429},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.6179502010345459},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5667195320129395},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.41246336698532104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3470219373703003},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3447605073451996},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33853164315223694},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23401817679405212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2292793095111847},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.13142025470733643},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1270129680633545}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9593149423599243},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.8071737289428711},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6339448690414429},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.6179502010345459},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5667195320129395},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41246336698532104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3470219373703003},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3447605073451996},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33853164315223694},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23401817679405212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2292793095111847},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.13142025470733643},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1270129680633545},{"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/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400809","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400809","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1967186668","https://openalex.org/W1971224531","https://openalex.org/W2024195317","https://openalex.org/W2031369606","https://openalex.org/W2046538693","https://openalex.org/W2063268016","https://openalex.org/W2064483836","https://openalex.org/W2136761911","https://openalex.org/W2147741970"],"related_works":["https://openalex.org/W3168771164","https://openalex.org/W4313314779","https://openalex.org/W2745903616","https://openalex.org/W1978881496","https://openalex.org/W2005878048","https://openalex.org/W2032674711","https://openalex.org/W1564980517","https://openalex.org/W2462371126","https://openalex.org/W2050070145","https://openalex.org/W1551306373"],"abstract_inverted_index":{"Bi-":[0],"or":[1,22],"even":[2],"multistable":[3],"behavior":[4],"is":[5,48,78,105,135,150,166],"a":[6,27,120,145],"recurrent":[7],"phenomenon":[8],"in":[9,20,26,85,123],"gene":[10,35,111],"regulation":[11,36,112],"networks.":[12,113],"These":[13],"networks":[14,37],"have":[15],"the":[16,60,63,72,81,88,96,124,129,138,156,160],"capacity":[17],"to":[18,107],"operate":[19],"two":[21],"more":[23],"distinct":[24,52],"modes":[25,54],"stable":[28],"manner.":[29],"In":[30],"this":[31,70,94,169],"work,":[32],"we":[33],"consider":[34],"with":[38,109,128,168],"known":[39],"interaction":[40],"structure":[41,84],"but":[42],"unknown":[43],"reaction":[44],"kinetics.":[45],"Additionally,":[46],"it":[47,134],"assumed":[49],"that":[50],"several":[51],"operation":[53,90,117],"were":[55],"observed":[56,89],"experimentally":[57],"whereby":[58],"also":[59],"measurements":[61],"of":[62,75,131],"individual":[64],"protein":[65],"concentrations":[66],"are":[67],"uncertain.":[68],"For":[69],"setup,":[71],"important":[73],"question":[74],"model":[76],"validation":[77,139],"addressed:":[79],"Can":[80],"given":[82],"network":[83,165],"principle":[86],"reproduce":[87],"modes?":[91],"To":[92],"approach":[93],"problem,":[95],"work":[97],"builds":[98],"on":[99],"an":[100],"existing":[101],"modeling":[102],"framework":[103],"which":[104,152],"appropriate":[106],"deal":[108],"uncertain":[110],"By":[114],"regarding":[115],"each":[116],"mode":[118],"as":[119],"forward-invariant":[121],"set":[122],"state":[125],"space":[126],"and":[127],"notion":[130],"compatible":[132],"intervals,":[133],"shown":[136],"how":[137],"problem":[140],"can":[141,153],"be":[142],"translated":[143],"into":[144],"combinatorial":[146],"one.":[147],"An":[148],"algorithm":[149],"developed":[151],"efficiently":[154],"solve":[155],"new":[157,170],"problem.":[158],"Finally,":[159],"well-known":[161],"bistable":[162],"lactose":[163],"utilization":[164],"analyzed":[167],"method.":[171]},"counts_by_year":[{"year":2016,"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"}
