{"id":"https://openalex.org/W1985173866","doi":"https://doi.org/10.1137/130940438","title":"Stability Analysis of a Renewal Equation for Cell Population Dynamics with Quiescence","display_name":"Stability Analysis of a Renewal Equation for Cell Population Dynamics with Quiescence","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1985173866","doi":"https://doi.org/10.1137/130940438","mag":"1985173866"},"language":"en","primary_location":{"id":"doi:10.1137/130940438","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130940438","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.11824/168","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079611387","display_name":"Tom\u00e1s Alarc\u00f3n","orcid":"https://orcid.org/0000-0002-8566-3676"},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tom\u00e1s Alarc\u00f3n","raw_affiliation_strings":["Centre de Recerca Matem\u00e0tica, Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recerca Matem\u00e0tica, Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain","institution_ids":["https://openalex.org/I4210122226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000352722","display_name":"Philipp Getto","orcid":"https://orcid.org/0000-0003-1165-8361"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Getto","raw_affiliation_strings":["TU Dresden, Fachrichtung Mathematik, Institut f\u00fcr Analysis, 01062 Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Dresden, Fachrichtung Mathematik, Institut f\u00fcr Analysis, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101968204","display_name":"Yukihiko Nakata","orcid":"https://orcid.org/0000-0001-5727-5855"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Yukihiko Nakata","raw_affiliation_strings":["Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi v\u00e9rtan\u00fak tere 1, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi v\u00e9rtan\u00fak tere 1, Hungary","institution_ids":["https://openalex.org/I227486990"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7582,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71618135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"74","issue":"4","first_page":"1266","last_page":"1297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998999834060669,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9902999997138977,"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/T10492","display_name":"Microtubule and mitosis dynamics","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell 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/division","display_name":"Division (mathematics)","score":0.6917070150375366},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6787745952606201},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6682981252670288},{"id":"https://openalex.org/keywords/cell-division","display_name":"Cell division","score":0.5919328927993774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5755409598350525},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5615947246551514},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4939654469490051},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4140036702156067},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4047824740409851},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39885956048965454},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3741598427295685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29260873794555664},{"id":"https://openalex.org/keywords/cell","display_name":"Cell","score":0.24850961565971375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.191236674785614},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.17019310593605042},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13205716013908386},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1168946921825409}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6917070150375366},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6787745952606201},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6682981252670288},{"id":"https://openalex.org/C85813293","wikidata":"https://www.wikidata.org/wiki/Q188909","display_name":"Cell division","level":3,"score":0.5919328927993774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5755409598350525},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5615947246551514},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4939654469490051},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4140036702156067},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4047824740409851},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39885956048965454},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3741598427295685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29260873794555664},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.24850961565971375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.191236674785614},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.17019310593605042},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13205716013908386},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1168946921825409},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/130940438","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130940438","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dnet:bird________::de49b376a3698dd0dfc762b895567cf1","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/168","pdf_url":"http://hdl.handle.net/20.500.11824/168","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ruidera.uclm.es:10578/45044","is_oa":false,"landing_page_url":"https://hdl.handle.net/10578/45044","pdf_url":null,"source":{"id":"https://openalex.org/S4377196358","display_name":"RUIdeRA - Institutional University Repository (University of Castilla-La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:bird________::de49b376a3698dd0dfc762b895567cf1","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/168","pdf_url":"http://hdl.handle.net/20.500.11824/168","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1985173866.pdf","grobid_xml":"https://content.openalex.org/works/W1985173866.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W80865228","https://openalex.org/W162907508","https://openalex.org/W169626422","https://openalex.org/W595649095","https://openalex.org/W612848709","https://openalex.org/W1494118823","https://openalex.org/W1495343258","https://openalex.org/W1586658033","https://openalex.org/W1607633954","https://openalex.org/W1937028141","https://openalex.org/W1967788366","https://openalex.org/W1979199252","https://openalex.org/W1979999280","https://openalex.org/W1981479913","https://openalex.org/W1993316959","https://openalex.org/W1995212858","https://openalex.org/W1997133147","https://openalex.org/W1999356404","https://openalex.org/W2000645646","https://openalex.org/W2011420188","https://openalex.org/W2015860978","https://openalex.org/W2033700345","https://openalex.org/W2045055369","https://openalex.org/W2058578238","https://openalex.org/W2060698840","https://openalex.org/W2062069198","https://openalex.org/W2071060299","https://openalex.org/W2073063542","https://openalex.org/W2083321256","https://openalex.org/W2092663493","https://openalex.org/W2094184598","https://openalex.org/W2102085111","https://openalex.org/W2112900204","https://openalex.org/W2131512666","https://openalex.org/W2133015435","https://openalex.org/W2138215603","https://openalex.org/W2154861644","https://openalex.org/W2163691604","https://openalex.org/W2780436820","https://openalex.org/W3100728175","https://openalex.org/W3141151088"],"related_works":["https://openalex.org/W4213091376","https://openalex.org/W4252317921","https://openalex.org/W2038973998","https://openalex.org/W2033939734","https://openalex.org/W243046325","https://openalex.org/W2404102772","https://openalex.org/W2079581397","https://openalex.org/W1545433272","https://openalex.org/W2072775677","https://openalex.org/W2007282198"],"abstract_inverted_index":{"We":[0,36,68,90],"propose":[1],"a":[2,41,48,72,77],"model":[3,16,39],"to":[4,53,71],"analyze":[5],"the":[6,25,31,38,107],"dynamics":[7],"of":[8,20,30,33,43,57,65,76,95,109],"interacting":[9],"proliferating":[10],"and":[11,28,46],"quiescent":[12,34],"cell":[13,21,103],"populations.":[14],"The":[15],"includes":[17],"age":[18],"dependence":[19],"division,":[22],"transitions":[23],"between":[24],"two":[26,100],"subpopulations,":[27],"regulation":[29],"recruitment":[32],"cells.":[35],"formulate":[37],"as":[40,97,99],"pair":[42],"renewal":[44],"equations":[45],"apply":[47],"rather":[49],"recent":[50],"general":[51],"result":[52],"prove":[54],"that":[55],"(in)stability":[56],"equilibria":[58],"can":[59],"be":[60],"analyzed":[61,84],"by":[62],"locating":[63],"roots":[64],"characteristic":[66,78],"equations.":[67],"are":[69],"led":[70],"parameter":[73],"plane":[74],"analysis":[75],"equation,":[79],"which":[80],"has":[81],"not":[82],"been":[83],"in":[85],"this":[86],"way":[87],"so":[88],"far.":[89],"conclude":[91],"with":[92],"how":[93],"quiescence":[94],"cells":[96],"well":[98],"submodels":[101],"for":[102],"division":[104],"may":[105],"influence":[106],"possibility":[108],"destabilization":[110],"via":[111],"oscillations.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
