{"id":"https://openalex.org/W2126497150","doi":"https://doi.org/10.1007/s00422-009-0344-3","title":"Event-based minimum-time control of oscillatory neuron models","display_name":"Event-based minimum-time control of oscillatory neuron models","publication_year":2009,"publication_date":"2009-11-12","ids":{"openalex":"https://openalex.org/W2126497150","doi":"https://doi.org/10.1007/s00422-009-0344-3","mag":"2126497150","pmid":"https://pubmed.ncbi.nlm.nih.gov/19911192"},"language":"en","primary_location":{"id":"doi:10.1007/s00422-009-0344-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00422-009-0344-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00422-009-0344-3.pdf","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,"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00422-009-0344-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041203354","display_name":"Per Danzl","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Per Danzl","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106, USA. pdanzl@engineering.ucsb.edu","University of California, Department of Mechanical Engineering, 93106, Santa Barbara, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106, USA. pdanzl@engineering.ucsb.edu","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, Department of Mechanical Engineering, 93106, Santa Barbara, CA, USA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065218317","display_name":"Jo\u00e3o P. Hespanha","orcid":"https://orcid.org/0000-0003-2809-4718"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Hespanha","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, 93106, USA","University of California, Department of Electrical and Computer Engineering, 93106, Santa Barbara, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, 93106, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, Department of Electrical and Computer Engineering, 93106, Santa Barbara, CA, USA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077998932","display_name":"Jeff Moehlis","orcid":"https://orcid.org/0000-0002-9985-588X"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeff Moehlis","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Santa Barbara, CA, 93106, USA","University of California, Department of Mechanical Engineering, 93106, Santa Barbara, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Santa Barbara, CA, 93106, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, Department of Mechanical Engineering, 93106, Santa Barbara, CA, USA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041203354"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":{"value":3990,"currency":"USD","value_usd":3990},"apc_paid":{"value":3990,"currency":"USD","value_usd":3990},"fwci":1.8301,"has_fulltext":true,"cited_by_count":64,"citation_normalized_percentile":{"value":0.84157926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"101","issue":"5-6","first_page":"387","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":1.0,"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":1.0,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5694044828414917},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.562885046005249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5084041953086853},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.4226095974445343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39391380548477173},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32550299167633057},{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.2384958267211914},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20528000593185425},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20166608691215515}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5694044828414917},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.562885046005249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5084041953086853},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.4226095974445343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39391380548477173},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32550299167633057},{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.2384958267211914},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20528000593185425},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20166608691215515},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","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}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","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},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D010507","descriptor_name":"Periodicity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010507","descriptor_name":"Periodicity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010507","descriptor_name":"Periodicity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1007/s00422-009-0344-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00422-009-0344-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00422-009-0344-3.pdf","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,"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},{"id":"pmid:19911192","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19911192","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,"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"}],"best_oa_location":{"id":"doi:10.1007/s00422-009-0344-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00422-009-0344-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00422-009-0344-3.pdf","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,"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3092300663","display_name":"CAREER:   Dynamics of Individual and Coupled Oscillators","funder_award_id":"0547606","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6810132154","display_name":"Collaborative Research: CDI-Type II: Advanced Theory and Computational Methods for Modular Analysis and Design of Complex Gene Networks","funder_award_id":"0835847","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G708057040","display_name":"PCAN -- Modeling and Analysis of Biological Systems Using Stochastic Hybrid Systems","funder_award_id":"0725485","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8334943290","display_name":null,"funder_award_id":"0835847","funder_id":"https://openalex.org/F4320337392","funder_display_name":"Division of Electrical, Communications and Cyber Systems"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337368","display_name":"Division of Graduate Education","ror":"https://ror.org/00whkrf32"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2126497150.pdf","grobid_xml":"https://content.openalex.org/works/W2126497150.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W161994494","https://openalex.org/W168874853","https://openalex.org/W283036238","https://openalex.org/W1487586009","https://openalex.org/W1547397412","https://openalex.org/W1587799944","https://openalex.org/W1964803406","https://openalex.org/W1971683300","https://openalex.org/W1985940938","https://openalex.org/W2001331101","https://openalex.org/W2005783469","https://openalex.org/W2006969491","https://openalex.org/W2009375605","https://openalex.org/W2011861207","https://openalex.org/W2022911541","https://openalex.org/W2061191702","https://openalex.org/W2062865989","https://openalex.org/W2080961971","https://openalex.org/W2088678566","https://openalex.org/W2101845422","https://openalex.org/W2105514990","https://openalex.org/W2108574798","https://openalex.org/W2116466012","https://openalex.org/W2124653207","https://openalex.org/W2186321983","https://openalex.org/W2334591577","https://openalex.org/W2612743911","https://openalex.org/W3206777520","https://openalex.org/W4211161800","https://openalex.org/W4213388037","https://openalex.org/W4214617048","https://openalex.org/W4241632983","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2386767533","https://openalex.org/W1989443761","https://openalex.org/W1625602694","https://openalex.org/W2150147679","https://openalex.org/W2011711856"],"abstract_inverted_index":{"We":[0,43,99],"present":[1,134],"an":[2,135],"event-based":[3],"feedback":[4,107],"control":[5,62,71,108,141,164],"method":[6],"for":[7,110],"randomizing":[8,140],"the":[9,21,45,55,61,77,95,129,138,147,167],"asymptotic":[10],"phase":[11,33,139],"of":[12,49,121,137,153],"oscillatory":[13],"neurons.":[14],"Phase":[15],"randomization":[16],"is":[17,34,37,74,82,144],"achieved":[18],"by":[19],"driving":[20],"neuron's":[22],"state":[23],"to":[24,40,89,104,150],"its":[25,32],"phaseless":[26],"set,":[27],"a":[28,50,106,118,151,170],"point":[29],"at":[30,146],"which":[31,81],"undefined":[35],"and":[36,58,85],"extremely":[38],"sensitive":[39],"background":[41],"noise.":[42],"consider":[44],"biologically":[46],"relevant":[47],"case":[48],"fixed":[51],"magnitude":[52],"constraint":[53],"on":[54],"stimulus":[56],"signal,":[57],"show":[59],"how":[60],"objective":[63],"can":[64,86],"be":[65,87],"accomplished":[66],"in":[67,94,128,160,169],"minimum":[68],"time.":[69],"The":[70,162],"synthesis":[72],"problem":[73],"addressed":[75],"using":[76],"minimum-time-optimal":[78],"Hamilton-Jacobi-Bellman":[79],"framework,":[80],"quite":[83],"general":[84],"applied":[88,145,163],"any":[90],"spiking":[91],"neuron":[92],"model":[93],"conductance-based":[96],"Hodgkin-Huxley":[97],"formalism.":[98],"also":[100],"use":[101],"this":[102],"methodology":[103],"compute":[105],"protocol":[109],"optimal":[111],"spike":[112],"rate":[113],"increase.":[114],"This":[115],"framework":[116],"provides":[117],"straightforward":[119],"means":[120],"visualizing":[122],"isochrons,":[123],"without":[124],"actually":[125],"calculating":[126],"them":[127],"traditional":[130],"way.":[131,172],"Finally,":[132],"we":[133],"extension":[136],"scheme":[142],"that":[143,157],"population":[148,168],"level,":[149],"network":[152],"globally":[154],"coupled":[155],"neurons":[156],"are":[158],"firing":[159],"synchrony.":[161],"signal":[165],"desynchronizes":[166],"demand-controlled":[171]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}