{"id":"https://openalex.org/W2075173294","doi":"https://doi.org/10.1007/bf00204759","title":"Insight into the transfer function, gain, and oscillation onset for the pupil light reflex using nonlinear delay-differential equations","display_name":"Insight into the transfer function, gain, and oscillation onset for the pupil light reflex using nonlinear delay-differential equations","publication_year":1989,"publication_date":"1989-05-01","ids":{"openalex":"https://openalex.org/W2075173294","doi":"https://doi.org/10.1007/bf00204759","mag":"2075173294","pmid":"https://pubmed.ncbi.nlm.nih.gov/2742914"},"language":"en","primary_location":{"id":"doi:10.1007/bf00204759","doi":"https://doi.org/10.1007/bf00204759","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00204759","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","medline","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"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/A5063019811","display_name":"Andr\u00e9 Longtin","orcid":"https://orcid.org/0000-0003-0678-9893","observed_orcids":["https://orcid.org/0000-0003-0678-9893"]},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Longtin","raw_affiliation_strings":["Department of Physics, McGill University, Montreal, P.Q., Canada","Dept of Physics, McGill University, Montreal, Canada H3G 1Y6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, McGill University, Montreal, P.Q., Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Dept of Physics, McGill University, Montreal, Canada H3G 1Y6","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078550670","display_name":"JOHN G. MILTON","orcid":"https://orcid.org/0000-0001-5037-2548","observed_orcids":["https://orcid.org/0000-0001-5037-2548"]},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. G. Milton","raw_affiliation_strings":["Department of Physiology, McGill University, 3655 Drummond Street, H3G 1Y6, Montreal, P.Q., Canada","Department of Physiology, McGill University, Montreal, Canada, H3G 1Y6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physiology, McGill University, 3655 Drummond Street, H3G 1Y6, Montreal, P.Q., Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Physiology, McGill University, Montreal, Canada, H3G 1Y6","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":3990,"currency":"USD","value_usd":3990},"apc_paid":null,"fwci":1.5271,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.83747261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"61","issue":"1","first_page":"51","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.22450000047683716,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.22450000047683716,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10745","display_name":"Heart Rate Variability and Autonomic Control","score":0.16820000112056732,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"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/T10244","display_name":"Chaos control and synchronization","score":0.1680999994277954,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pupillary-light-reflex","display_name":"pupillary light reflex","score":0.9959999918937683},{"id":"https://openalex.org/keywords/nonlinear-delay-differential-equations","display_name":"nonlinear delay differential equations","score":0.9430000185966492},{"id":"https://openalex.org/keywords/open-loop-transfer-function","display_name":"open-loop transfer function","score":0.7649999856948853},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.9369999766349792},{"id":"https://openalex.org/keywords/limit-cycle-oscillations","display_name":"limit cycle oscillations","score":0.9020000100135803},{"id":"https://openalex.org/keywords/onset-of-oscillations","display_name":"oscillation onset","score":0.8320000171661377},{"id":"https://openalex.org/keywords/nyquist-plot","display_name":"Nyquist plot","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.8013075590133667},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.7353442311286926},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6956014037132263},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6107314825057983},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6008840799331665},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.5904879570007324},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5372879505157471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.510326087474823},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4716070294380188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47123464941978455},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.468921959400177},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4454522728919983},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.44476118683815},{"id":"https://openalex.org/C49503481","wikidata":"https://www.wikidata.org/wiki/Q640815","display_name":"Servomechanism","level":2,"score":0.4266073405742645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3965669572353363},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.25264739990234375},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2253803312778473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.125311017036438},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10432976484298706},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07796508073806763},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001767","descriptor_name":"Blinking","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1007/bf00204759","doi":"https://doi.org/10.1007/bf00204759","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00204759","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","medline","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},{"id":"pmid:2742914","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/2742914","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological cybernetics","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.488.2674","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.488.2674","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mysite.science.uottawa.ca/alongtin/documents/BC1989.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1574514837","https://openalex.org/W1975955945","https://openalex.org/W1983718066","https://openalex.org/W2010818373","https://openalex.org/W2016077641","https://openalex.org/W2017806446","https://openalex.org/W2020654043","https://openalex.org/W2031437492","https://openalex.org/W2031906945","https://openalex.org/W2036611761","https://openalex.org/W2037260762","https://openalex.org/W2040799179","https://openalex.org/W2054914575","https://openalex.org/W2059046536","https://openalex.org/W2059055062","https://openalex.org/W2065885559","https://openalex.org/W2080618050","https://openalex.org/W2083352776","https://openalex.org/W2087092571","https://openalex.org/W2094631910","https://openalex.org/W2102562646","https://openalex.org/W2171877828","https://openalex.org/W2328577015","https://openalex.org/W3108022129","https://openalex.org/W4229668882","https://openalex.org/W4237239156"],"related_works":["https://openalex.org/W7099805370","https://openalex.org/W2068779946","https://openalex.org/W1609441875","https://openalex.org/W2040973923","https://openalex.org/W2054914575","https://openalex.org/W7096748013","https://openalex.org/W2413580450","https://openalex.org/W2031437492","https://openalex.org/W2606900247","https://openalex.org/W1596824201"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
