{"id":"https://openalex.org/W2034691375","doi":"https://doi.org/10.1109/tac.2013.2273284","title":"Periodical Solutions in a Pulse-Modulated Model of Endocrine Regulation With Time-Delay","display_name":"Periodical Solutions in a Pulse-Modulated Model of Endocrine Regulation With Time-Delay","publication_year":2013,"publication_date":"2013-07-15","ids":{"openalex":"https://openalex.org/W2034691375","doi":"https://doi.org/10.1109/tac.2013.2273284","mag":"2034691375"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2273284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2273284","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5086049571","display_name":"Alexander N. Churilov","orcid":"https://orcid.org/0000-0001-8839-3977"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Churilov","raw_affiliation_strings":["Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia","Dept. of Math. & Mech., St. Petersburg State Univ., St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Dept. of Math. & Mech., St. Petersburg State Univ., St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043092463","display_name":"Alexander Medvedev","orcid":"https://orcid.org/0000-0002-6608-250X"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Alexander Medvedev","raw_affiliation_strings":["Information Technology, Uppsala University, Uppsala, Sweden","Information Technology, Uppsala University, Uppsala, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Information Technology, Uppsala University, Uppsala, Sweden#TAB#","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076316548","display_name":"Per Mattsson","orcid":"https://orcid.org/0000-0002-2678-1330"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Per Mattsson","raw_affiliation_strings":["Information Technology, Uppsala University, Uppsala, Sweden","Information Technology, Uppsala University, Uppsala, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Information Technology, Uppsala University, Uppsala, Sweden#TAB#","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086049571"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":5.0744,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95665233,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"3","first_page":"728","last_page":"733"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955000281333923,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10342","display_name":"Circadian rhythm and melatonin","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/2807","display_name":"Endocrine and Autonomic Systems"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.6480651497840881},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6398445963859558},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49198028445243835},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4378446340560913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42655837535858154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.389188289642334},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3515234589576721},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1937030851840973},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1902039349079132},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15690305829048157},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13359922170639038},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12412193417549133},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.10421231389045715}],"concepts":[{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.6480651497840881},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6398445963859558},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49198028445243835},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4378446340560913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42655837535858154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.389188289642334},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3515234589576721},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1937030851840973},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1902039349079132},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15690305829048157},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13359922170639038},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12412193417549133},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.10421231389045715},{"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:10.1109/tac.2013.2273284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2273284","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W635353686","https://openalex.org/W1545979858","https://openalex.org/W1575655907","https://openalex.org/W1868909072","https://openalex.org/W1873041435","https://openalex.org/W1967604723","https://openalex.org/W2000607902","https://openalex.org/W2012021730","https://openalex.org/W2019083728","https://openalex.org/W2021122789","https://openalex.org/W2034418126","https://openalex.org/W2037938652","https://openalex.org/W2054616108","https://openalex.org/W2064185853","https://openalex.org/W2067548529","https://openalex.org/W2068763728","https://openalex.org/W2068945914","https://openalex.org/W2070065489","https://openalex.org/W2070135480","https://openalex.org/W2071606620","https://openalex.org/W2087903502","https://openalex.org/W2094794529","https://openalex.org/W2100582594","https://openalex.org/W2183200445","https://openalex.org/W2280602528","https://openalex.org/W2778130409","https://openalex.org/W4236050726","https://openalex.org/W4237837031","https://openalex.org/W4237997615","https://openalex.org/W6747181936"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2963177394","https://openalex.org/W1595229445","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W1965815883","https://openalex.org/W763418848","https://openalex.org/W2024638892"],"abstract_inverted_index":{"A":[0],"hybrid":[1],"mathematical":[2],"model":[3,14],"of":[4,33,60,69,119],"endocrine":[5],"regulation":[6],"obtained":[7],"by":[8,113],"augmenting":[9],"the":[10,45,61,66,70,75,79,91,95,110],"classical":[11],"continuous":[12],"Smith":[13],"with":[15,36],"a":[16],"pulse-modulated":[17,71],"feedback":[18],"to":[19,104,116],"describe":[20],"episodic":[21],"(pulsatile)":[22],"secretion":[23],"is":[24,64],"considered.":[25],"Conditions":[26],"for":[27],"existence":[28],"and":[29,73,85],"local":[30],"orbital":[31],"stability":[32],"periodical":[34],"solutions":[35],"<formula":[37,49],"formulatype=\"inline\"":[38,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[40],"<tex":[41],"Notation=\"TeX\">$m$</tex></formula>":[42,53],"impulses":[43],"in":[44,94,97,109],"least":[46],"period":[47],"(":[48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[52],"-cycles)":[54],"are":[55],"derived.":[56],"An":[57],"important":[58],"implication":[59],"performed":[62],"analysis":[63,87],"that":[65,89],"nonlinear":[67],"dynamics":[68],"system":[72,96,112],"not":[74,101],"delay":[76,93],"itself":[77],"cause":[78],"sustained":[80],"closed-loop":[81,111],"oscillations.":[82],"Furthermore,":[83],"simulation":[84],"bifurcation":[86],"indicate":[88],"increasing":[90],"time":[92],"hand":[98],"typically,":[99],"but":[100],"always,":[102],"leads":[103],"less":[105],"complex":[106],"dynamic":[107],"pattern":[108],"giving":[114],"rise":[115],"stable":[117],"cycles":[118],"lower":[120],"periodicity.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}