{"id":"https://openalex.org/W2179664915","doi":"https://doi.org/10.1142/s0218127415400076","title":"Mathematical Modeling and Nonlinear Dynamical Analysis of Cell Growth in Response to Antibiotics","display_name":"Mathematical Modeling and Nonlinear Dynamical Analysis of Cell Growth in Response to Antibiotics","publication_year":2015,"publication_date":"2015-06-30","ids":{"openalex":"https://openalex.org/W2179664915","doi":"https://doi.org/10.1142/s0218127415400076","mag":"2179664915"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415400076","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415400076","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","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/A5042426564","display_name":"Suoqin Jin","orcid":"https://orcid.org/0000-0002-5131-0215"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Suoqin Jin","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101874536","display_name":"Lili Niu","orcid":"https://orcid.org/0000-0003-1510-9466"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lili Niu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367379","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0002-4690-9020"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009409122","display_name":"Xiufen Zou","orcid":"https://orcid.org/0000-0001-5294-0764"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiufen Zou","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042426564"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":2.9284,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.91500512,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"07","first_page":"1540007","last_page":"1540007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9997000098228455,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9994000196456909,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.8588044047355652},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5694621801376343},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.542264461517334},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5404773950576782},{"id":"https://openalex.org/keywords/antibiotics","display_name":"Antibiotics","score":0.5310758948326111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4780176877975464},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45140892267227173},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4487084150314331},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44322431087493896},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4415399134159088},{"id":"https://openalex.org/keywords/growth-rate","display_name":"Growth rate","score":0.44083666801452637},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4339941143989563},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.43129175901412964},{"id":"https://openalex.org/keywords/positive-feedback","display_name":"Positive feedback","score":0.4105815589427948},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39120036363601685},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3578769266605377},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3140069842338562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3072514533996582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23897939920425415},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2201613187789917},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.13218042254447937},{"id":"https://openalex.org/keywords/microbiology","display_name":"Microbiology","score":0.1277323067188263},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08814063668251038}],"concepts":[{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.8588044047355652},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5694621801376343},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.542264461517334},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5404773950576782},{"id":"https://openalex.org/C501593827","wikidata":"https://www.wikidata.org/wiki/Q12187","display_name":"Antibiotics","level":2,"score":0.5310758948326111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4780176877975464},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45140892267227173},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4487084150314331},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44322431087493896},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4415399134159088},{"id":"https://openalex.org/C2778312390","wikidata":"https://www.wikidata.org/wiki/Q4139973","display_name":"Growth rate","level":2,"score":0.44083666801452637},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4339941143989563},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.43129175901412964},{"id":"https://openalex.org/C48207687","wikidata":"https://www.wikidata.org/wiki/Q918004","display_name":"Positive feedback","level":2,"score":0.4105815589427948},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39120036363601685},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3578769266605377},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3140069842338562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3072514533996582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23897939920425415},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2201613187789917},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.13218042254447937},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.1277323067188263},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08814063668251038},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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":1,"locations":[{"id":"doi:10.1142/s0218127415400076","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415400076","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1747497716","https://openalex.org/W1972577050","https://openalex.org/W1973943921","https://openalex.org/W1974513470","https://openalex.org/W1975987237","https://openalex.org/W1985161570","https://openalex.org/W1991511875","https://openalex.org/W1992553683","https://openalex.org/W1999802487","https://openalex.org/W2007902758","https://openalex.org/W2012613921","https://openalex.org/W2029836638","https://openalex.org/W2030416317","https://openalex.org/W2032759622","https://openalex.org/W2043760721","https://openalex.org/W2044079597","https://openalex.org/W2045456375","https://openalex.org/W2060611411","https://openalex.org/W2069877054","https://openalex.org/W2090651792","https://openalex.org/W2096692298","https://openalex.org/W2103641729","https://openalex.org/W2105560808","https://openalex.org/W2115606218","https://openalex.org/W2134759932","https://openalex.org/W2143842076","https://openalex.org/W2159579053","https://openalex.org/W2160037428","https://openalex.org/W2165962089","https://openalex.org/W2168047828"],"related_works":["https://openalex.org/W2060350357","https://openalex.org/W3099032440","https://openalex.org/W1996912812","https://openalex.org/W3208766294","https://openalex.org/W2101647844","https://openalex.org/W2032674711","https://openalex.org/W1513979854","https://openalex.org/W2123880844","https://openalex.org/W2152293062","https://openalex.org/W2095375866"],"abstract_inverted_index":{"This":[0],"study":[1],"is":[2,80],"devoted":[3],"to":[4,16,90,113,144,153],"the":[5,8,43,58,75,83,86,91,97,137,145,160,166],"revelation":[6],"of":[7,11,23,42,45,53,62,85,99,109,140,147,157,162,168],"dynamical":[9,40],"mechanisms":[10],"cell":[12,87,93],"growth":[13,30,77,88,94,115],"in":[14,96,105,121,171],"response":[15],"antibiotics.":[17],"We":[18,37,49,123],"establish":[19],"a":[20,39,114,118,154],"mathematical":[21],"model":[22,47],"ordinary":[24],"differential":[25],"equations":[26],"for":[27],"an":[28,106],"antibiotic-resistant":[29],"system":[31],"with":[32],"one":[33],"positive":[34],"feedback":[35,141],"loop.":[36],"perform":[38],"analysis":[41,68],"behavior":[44,104],"this":[46],"system.":[48],"present":[50],"adequate":[51],"sets":[52],"conditions":[54],"that":[55,74,111,125],"can":[56,101,132,142],"guarantee":[57],"existence":[59],"and":[60,69,117,128],"stability":[61],"biologically-reasonable":[63],"steady":[64],"states.":[65],"Using":[66],"bifurcation":[67],"numerical":[70],"simulation,":[71],"we":[72],"show":[73],"relative":[76],"rate,":[78],"which":[79],"defined":[81],"as":[82],"ratio":[84],"rate":[89,95],"basal":[92],"absence":[98],"antibiotics,":[100],"exhibit":[102],"bistable":[103],"extensive":[107],"range":[108],"parameters":[110],"correspond":[112],"state":[116,120],"nongrowth":[119],"biology.":[122],"discover":[124],"both":[126],"antibiotic":[127,129],"resistance":[130,170],"genes":[131],"cooperatively":[133],"enhance":[134],"bistability,":[135],"whereas":[136],"cooperative":[138],"coefficient":[139],"contribute":[143,152],"onset":[146],"bistability.":[148],"These":[149],"results":[150],"would":[151],"better":[155],"understanding":[156],"not":[158],"only":[159],"evolution":[161],"antibiotics":[163],"but":[164],"also":[165],"emergence":[167],"drug":[169],"other":[172],"diseases.":[173]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}