{"id":"https://openalex.org/W2021930445","doi":"https://doi.org/10.1142/s0219525908001751","title":"THE EFFECT OF TIME SCALE DIFFERENCES AND TIME DELAYS ON THE STRUCTURAL STABILITY OF OSCILLATIONS IN A TWO-GENE NETWORK","display_name":"THE EFFECT OF TIME SCALE DIFFERENCES AND TIME DELAYS ON THE STRUCTURAL STABILITY OF OSCILLATIONS IN A TWO-GENE NETWORK","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2021930445","doi":"https://doi.org/10.1142/s0219525908001751","mag":"2021930445"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525908001751","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525908001751","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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":"Advances in Complex Systems","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/A5074898503","display_name":"Nicole Radde","orcid":"https://orcid.org/0000-0002-5145-0058"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"NICOLE RADDE","raw_affiliation_strings":["Institute for Medical Informatics, Statistics and Epidemiology, University of Leipzig, H\u00e4rtelstra\u00dfe 16-18, D-04107 Leipzig, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Medical Informatics, Statistics and Epidemiology, University of Leipzig, H\u00e4rtelstra\u00dfe 16-18, D-04107 Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074898503"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":null,"apc_paid":null,"fwci":0.5532,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66461439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"03","first_page":"471","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.995199978351593,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9926999807357788,"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/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7104639410972595},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.6579596400260925},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5856707692146301},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.5627376437187195},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.512272298336029},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4997382164001465},{"id":"https://openalex.org/keywords/biological-network","display_name":"Biological network","score":0.49750497937202454},{"id":"https://openalex.org/keywords/negative-feedback","display_name":"Negative feedback","score":0.49648791551589966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46594226360321045},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.45838233828544617},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4471019208431244},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.44296425580978394},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.42200350761413574},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.365101158618927},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3520105481147766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.343284547328949},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23897886276245117},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23379674553871155},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1684441864490509},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.140508234500885},{"id":"https://openalex.org/keywords/gene-expression","display_name":"Gene expression","score":0.13967761397361755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10730713605880737},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.10684174299240112}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7104639410972595},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.6579596400260925},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5856707692146301},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.5627376437187195},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.512272298336029},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4997382164001465},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.49750497937202454},{"id":"https://openalex.org/C93586867","wikidata":"https://www.wikidata.org/wiki/Q62527","display_name":"Negative feedback","level":3,"score":0.49648791551589966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46594226360321045},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.45838233828544617},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4471019208431244},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.44296425580978394},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.42200350761413574},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.365101158618927},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3520105481147766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.343284547328949},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23897886276245117},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23379674553871155},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1684441864490509},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.140508234500885},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.13967761397361755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10730713605880737},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.10684174299240112},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219525908001751","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525908001751","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:11:y:2008:i:03:n:s0219525908001751","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525908001751","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:11:y:2008:i:03:p:471-483","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525908001751","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1575619134","https://openalex.org/W1599969036","https://openalex.org/W1604213221","https://openalex.org/W1964053068","https://openalex.org/W1971327350","https://openalex.org/W1986500210","https://openalex.org/W2001548992","https://openalex.org/W2005942782","https://openalex.org/W2007673294","https://openalex.org/W2047575710","https://openalex.org/W2058684276","https://openalex.org/W2059665827","https://openalex.org/W2062183865","https://openalex.org/W2064489283","https://openalex.org/W2081827062","https://openalex.org/W2083117595","https://openalex.org/W2108493072","https://openalex.org/W2115662646","https://openalex.org/W2122910553","https://openalex.org/W2129086803","https://openalex.org/W2130939068","https://openalex.org/W2150750144","https://openalex.org/W2164348551","https://openalex.org/W2182274314","https://openalex.org/W4237997615","https://openalex.org/W4301712079"],"related_works":["https://openalex.org/W2130939068","https://openalex.org/W3163717165","https://openalex.org/W2114466827","https://openalex.org/W2129949791","https://openalex.org/W2791736663","https://openalex.org/W2806770614","https://openalex.org/W1710460698","https://openalex.org/W249159571","https://openalex.org/W2131550814","https://openalex.org/W2032559354"],"abstract_inverted_index":{"Biological":[0],"networks":[1],"are":[2,44,73],"often":[3],"modeled":[4],"by":[5,118],"systems":[6,72],"of":[7,22,29,133,150],"ordinary":[8],"differential":[9],"equations.":[10],"In":[11],"chemical":[12,70],"reaction":[13,71],"kinetics,":[14],"for":[15,46],"instance,":[16],"sigmoid":[17],"functions":[18],"represent":[19],"the":[20,89,97,131],"regulation":[21],"gene":[23],"expression":[24],"via":[25],"transcription":[26],"factors.":[27],"Solutions":[28],"these":[30],"models":[31],"tend":[32],"to":[33,35,79,85,125],"converge":[34],"a":[36,47,63,106,134,143,155],"unique":[37],"steady":[38],"state,":[39],"and":[40,139],"feedback":[41],"control":[42],"mechanisms":[43,98],"required":[45],"more":[48],"complex":[49],"dynamic":[50,93],"behavior.":[51,94],"This":[52,95,146],"paper":[53],"focuses":[54],"on":[55],"periodic":[56,100],"behavior":[57,101],"in":[58,69,102,158],"two-component":[59],"regulatory":[60],"networks.":[61],"Here,":[62],"key":[64],"issue":[65],"is":[66],"that":[67,87,112,123,148],"oscillations":[68,113],"usually":[74],"not":[75],"robust":[76],"with":[77,127],"respect":[78],"parameter":[80],"variations.":[81],"Small":[82],"variations":[83],"lead":[84],"bifurcations":[86],"change":[88],"system's":[90],"overall":[91],"qualitative":[92],"concerns":[96],"stabilizing":[99],"living":[103],"cells.":[104],"Using":[105],"small":[107],"sample":[108],"network,":[109],"we":[110],"demonstrate":[111],"can":[114],"efficiently":[115],"be":[116],"stabilized":[117],"large":[119],"time":[120,135],"scale":[121],"differences":[122],"correspond":[124],"reactions":[126],"different":[128],"velocities.":[129],"Furthermore,":[130],"inclusion":[132],"delay,":[136],"reflecting":[137],"transport":[138],"diffusion":[140],"processes,":[141],"has":[142],"similar":[144],"effect.":[145],"suggests":[147],"processes":[149],"this":[151],"kind":[152],"potentially":[153],"play":[154],"crucial":[156],"role":[157],"biological":[159],"oscillators.":[160]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}