{"id":"https://openalex.org/W2161098861","doi":"https://doi.org/10.1137/090771247","title":"Bifurcation Analysis of Gene Regulatory Circuits Subject to Copy Number Variation","display_name":"Bifurcation Analysis of Gene Regulatory Circuits Subject to Copy Number Variation","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2161098861","doi":"https://doi.org/10.1137/090771247","mag":"2161098861"},"language":"en","primary_location":{"id":"doi:10.1137/090771247","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090771247","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10161/4315","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031050042","display_name":"Yuriy Mileyko","orcid":"https://orcid.org/0000-0001-7720-8625"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuriy Mileyko","raw_affiliation_strings":["Department of Mathematics, Duke University, Durham, NC 27708"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Duke University, Durham, NC 27708","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020490780","display_name":"Joshua S. Weitz","orcid":"https://orcid.org/0000-0002-3433-8312"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joshua S. Weitz","raw_affiliation_strings":["Schools of Biology and Physics, Georgia Institute of Technology, Atlanta, GA 30332"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Schools of Biology and Physics, Georgia Institute of Technology, Atlanta, GA 30332","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020490780"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.1342,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54964369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"799","last_page":"826"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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":0.9797999858856201,"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/electronic-circuit","display_name":"Electronic circuit","score":0.7646784782409668},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.6976764798164368},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5632665157318115},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4866121709346771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4693240523338318},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4481908679008484},{"id":"https://openalex.org/keywords/regulation-of-gene-expression","display_name":"Regulation of gene expression","score":0.44748929142951965},{"id":"https://openalex.org/keywords/copy-number-variation","display_name":"Copy-number variation","score":0.43074682354927063},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.4295123219490051},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4211937487125397},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.3910134434700012},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37652263045310974},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34919023513793945},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3449288010597229},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.33003541827201843},{"id":"https://openalex.org/keywords/gene-expression","display_name":"Gene expression","score":0.286618709564209},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2573409080505371},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.20189404487609863},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1244213879108429},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10318759083747864},{"id":"https://openalex.org/keywords/genome","display_name":"Genome","score":0.08502450585365295},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07548627257347107}],"concepts":[{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.7646784782409668},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.6976764798164368},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5632665157318115},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4866121709346771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4693240523338318},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4481908679008484},{"id":"https://openalex.org/C165864922","wikidata":"https://www.wikidata.org/wiki/Q411391","display_name":"Regulation of gene expression","level":3,"score":0.44748929142951965},{"id":"https://openalex.org/C120821319","wikidata":"https://www.wikidata.org/wiki/Q1501491","display_name":"Copy-number variation","level":4,"score":0.43074682354927063},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.4295123219490051},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4211937487125397},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.3910134434700012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37652263045310974},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34919023513793945},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3449288010597229},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.33003541827201843},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.286618709564209},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2573409080505371},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.20189404487609863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1244213879108429},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10318759083747864},{"id":"https://openalex.org/C141231307","wikidata":"https://www.wikidata.org/wiki/Q7020","display_name":"Genome","level":3,"score":0.08502450585365295},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07548627257347107},{"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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090771247","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090771247","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:dukespace.lib.duke.edu:10161/4315","is_oa":true,"landing_page_url":"http://hdl.handle.net/10161/4315","pdf_url":null,"source":{"id":"https://openalex.org/S4306400687","display_name":"DukeSpace (Duke University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170897317","host_organization_name":"Duke University","host_organization_lineage":["https://openalex.org/I170897317"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"pmh:oai:dukespace.lib.duke.edu:10161/4315","is_oa":true,"landing_page_url":"http://hdl.handle.net/10161/4315","pdf_url":null,"source":{"id":"https://openalex.org/S4306400687","display_name":"DukeSpace (Duke University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170897317","host_organization_name":"Duke University","host_organization_lineage":["https://openalex.org/I170897317"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W182014611","https://openalex.org/W1502406759","https://openalex.org/W1558736232","https://openalex.org/W1582770960","https://openalex.org/W1596321532","https://openalex.org/W1599969036","https://openalex.org/W1876456565","https://openalex.org/W1985654700","https://openalex.org/W1999716743","https://openalex.org/W2019591778","https://openalex.org/W2029030701","https://openalex.org/W2051203581","https://openalex.org/W2058221907","https://openalex.org/W2058839892","https://openalex.org/W2068447646","https://openalex.org/W2097894461","https://openalex.org/W2104123948","https://openalex.org/W2105046302","https://openalex.org/W2118344980","https://openalex.org/W2128949314","https://openalex.org/W2130912501","https://openalex.org/W2134759932","https://openalex.org/W2154361640","https://openalex.org/W2171994731","https://openalex.org/W2476121101","https://openalex.org/W2528271650","https://openalex.org/W3020882730"],"related_works":["https://openalex.org/W2010571965","https://openalex.org/W3128451840","https://openalex.org/W2002709996","https://openalex.org/W4387092964","https://openalex.org/W2103471012","https://openalex.org/W2966064480","https://openalex.org/W2380236774","https://openalex.org/W2277277196","https://openalex.org/W2107149076","https://openalex.org/W2115810854"],"abstract_inverted_index":{"Gene":[0],"regulatory":[1,30,45,83,172],"networks":[2,31],"are":[3,97],"comprised":[4],"of":[5,13,19,28,38,60,77,109,131,138,156,169],"many":[6],"small":[7],"gene":[8,14,54,61,82,139,171],"circuits.":[9,151],"Understanding":[10],"expression":[11,62],"dynamics":[12,63],"circuits":[15,39,55,140],"for":[16,104],"broad":[17],"ranges":[18],"parameter":[20],"space":[21],"may":[22],"provide":[23],"insight":[24],"into":[25],"the":[26,36,58,65,78,116,128,150,158,170],"behavior":[27,137],"larger":[29],"as":[32,34,40],"well":[33],"facilitate":[35],"use":[37],"autonomous":[41],"units":[42],"performing":[43],"specific":[44],"tasks.":[46],"In":[47,69],"this":[48],"paper,":[49],"we":[50,71,96],"consider":[51],"three":[52],"common":[53],"and":[56],"investigate":[57],"dependence":[59],"on":[64,135],"circuit":[66,117],"copy":[67,118,121,132],"number.":[68],"particular,":[70],"perform":[72],"a":[73,90,154],"detailed":[74],"bifurcation":[75,94],"analysis":[76],"circuits'":[79],"corresponding":[80],"nonlinear":[81],"models":[84,164],"restricted":[85],"to":[86,93,99,144,161],"protein-only":[87],"dynamics.":[88],"Employing":[89],"geometric":[91],"approach":[92],"theory,":[95],"able":[98],"derive":[100],"closed":[101],"form":[102],"expressions":[103],"conditions":[105],"which":[106,165],"guarantee":[107],"existence":[108],"saddle-node":[110],"bifurcations":[111],"caused":[112],"by":[113],"variation":[114,134,145],"in":[115,146,149],"number":[119,122,133],"or":[120],"concentration.":[123],"This":[124],"result":[125],"shows":[126],"that":[127],"drastic":[129],"effect":[130],"equilibrium":[136],"is":[141],"highly":[142],"robust":[143],"other":[147],"parameters":[148],"We":[152],"discuss":[153],"possibility":[155],"extending":[157],"current":[159],"results":[160],"higher":[162],"dimensional":[163],"incorporate":[166],"more":[167],"details":[168],"process.":[173]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}