{"id":"https://openalex.org/W1988320359","doi":"https://doi.org/10.1155/2014/592587","title":"A Simple Mathematical Model of Cyclic Circadian Learning","display_name":"A Simple Mathematical Model of Cyclic Circadian Learning","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1988320359","doi":"https://doi.org/10.1155/2014/592587","mag":"1988320359"},"language":"en","primary_location":{"id":"doi:10.1155/2014/592587","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/592587","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/592587.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/592587.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004369595","display_name":"Jan C. Simon","orcid":"https://orcid.org/0000-0002-2084-349X"},"institutions":[{"id":"https://openalex.org/I3122011922","display_name":"University of \u017dilina","ror":"https://ror.org/031wwwj55","country_code":"SK","type":"education","lineage":["https://openalex.org/I3122011922"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"J. \u0160imon","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mechanical Engineering, University of \u017dilina, Univerzitn\u00e1 8215/1, 010 26 \u017dilina, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mechanical Engineering, University of \u017dilina, Univerzitn\u00e1 8215/1, 010 26 \u017dilina, Slovakia","institution_ids":["https://openalex.org/I3122011922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019034010","display_name":"Martin Bulko","orcid":"https://orcid.org/0000-0003-2786-6843"},"institutions":[{"id":"https://openalex.org/I74788687","display_name":"Comenius University Bratislava","ror":"https://ror.org/0587ef340","country_code":"SK","type":"education","lineage":["https://openalex.org/I74788687"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"M. Bulko","raw_affiliation_strings":["Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia","Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics; Comenius University; Bratislava; Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia","institution_ids":["https://openalex.org/I74788687"]},{"raw_affiliation_string":"Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics; Comenius University; Bratislava; Slovakia","institution_ids":["https://openalex.org/I74788687"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004369595"],"corresponding_institution_ids":["https://openalex.org/I3122011922"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.09588591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11516","display_name":"Visual and Cognitive Learning Processes","score":0.8921999931335449,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11516","display_name":"Visual and Cognitive Learning Processes","score":0.8921999931335449,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10072","display_name":"Science Education and Pedagogy","score":0.8666999936103821,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11902","display_name":"Intelligent Tutoring Systems and Adaptive Learning","score":0.7696999907493591,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mnemonic","display_name":"Mnemonic","score":0.722665011882782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6873542070388794},{"id":"https://openalex.org/keywords/memorization","display_name":"Memorization","score":0.6832135319709778},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6243559122085571},{"id":"https://openalex.org/keywords/forgetting","display_name":"Forgetting","score":0.5585922598838806},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.475301593542099},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42581647634506226},{"id":"https://openalex.org/keywords/usability","display_name":"Usability","score":0.4238909184932709},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40113234519958496},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3312429189682007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24715745449066162},{"id":"https://openalex.org/keywords/human\u2013computer-interaction","display_name":"Human\u2013computer interaction","score":0.14509227871894836},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09896087646484375},{"id":"https://openalex.org/keywords/cognitive-psychology","display_name":"Cognitive psychology","score":0.08623498678207397}],"concepts":[{"id":"https://openalex.org/C197792726","wikidata":"https://www.wikidata.org/wiki/Q191062","display_name":"Mnemonic","level":2,"score":0.722665011882782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6873542070388794},{"id":"https://openalex.org/C30038468","wikidata":"https://www.wikidata.org/wiki/Q4354775","display_name":"Memorization","level":2,"score":0.6832135319709778},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6243559122085571},{"id":"https://openalex.org/C7149132","wikidata":"https://www.wikidata.org/wiki/Q1377840","display_name":"Forgetting","level":2,"score":0.5585922598838806},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.475301593542099},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42581647634506226},{"id":"https://openalex.org/C170130773","wikidata":"https://www.wikidata.org/wiki/Q216378","display_name":"Usability","level":2,"score":0.4238909184932709},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40113234519958496},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3312429189682007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24715745449066162},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.14509227871894836},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09896087646484375},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.08623498678207397},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/592587","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/592587","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/592587.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305614","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305614","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:592587","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/592587.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:2f6cac8da2ff40e381ac5c034996ee2c","is_oa":false,"landing_page_url":"https://doaj.org/article/2f6cac8da2ff40e381ac5c034996ee2c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/592587","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/592587","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/592587.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1117408393","display_name":null,"funder_award_id":"1/1245/12","funder_id":"https://openalex.org/F4320312330","funder_display_name":"Slovensk\u00e1 Akad\u00e9mia Vied"}],"funders":[{"id":"https://openalex.org/F4320312330","display_name":"Slovensk\u00e1 Akad\u00e9mia Vied","ror":"https://ror.org/03h7qq074"},{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1988320359.pdf","grobid_xml":"https://content.openalex.org/works/W1988320359.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1037518996","https://openalex.org/W1878893887","https://openalex.org/W1969519340","https://openalex.org/W1976895497","https://openalex.org/W1982197468","https://openalex.org/W2000526605","https://openalex.org/W2008615354","https://openalex.org/W2020802160","https://openalex.org/W2033862572","https://openalex.org/W2040882980","https://openalex.org/W2054205573","https://openalex.org/W2060162550","https://openalex.org/W2078178340","https://openalex.org/W2084883066","https://openalex.org/W2085006723","https://openalex.org/W2096707172","https://openalex.org/W2151347365","https://openalex.org/W2232925767","https://openalex.org/W2273292854","https://openalex.org/W3145077788","https://openalex.org/W4240553276"],"related_works":["https://openalex.org/W2595199024","https://openalex.org/W2755695","https://openalex.org/W637789116","https://openalex.org/W2334108484","https://openalex.org/W3204926555","https://openalex.org/W4296090313","https://openalex.org/W1968297770","https://openalex.org/W2006672806","https://openalex.org/W2155871502","https://openalex.org/W3207288731"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,14,24,102],"the":[4,35,41,59,84,106,117,153],"derivation":[5],"of":[6,11,17,37,43,46,69,108,114,120,129],"a":[7,15,66],"simple":[8,32],"mathematical":[9,33],"model":[10,50,89,131],"cyclic":[12],"learning":[13,121,154],"period":[16],"24":[18],"hours.":[19],"Various":[20],"requirements":[21],"are":[22,98,124,143],"met":[23],"an":[25],"emphasis":[26],"and":[27,40,111,122,146],"approach":[28],"which":[29],"relies":[30],"on":[31,92],"operations,":[34],"prediction":[36],"measurable":[38],"quantities,":[39],"creation":[42],"uncomplicated":[44],"processes":[45,119],"calibration.":[47],"The":[48,127],"presented":[49],"can":[51],"be":[52,62,150],"used":[53],"to":[54,64,76,134,140],"answer":[55],"questions":[56],"such":[57],"as":[58],"following.Will":[60],"I":[61,82],"able":[63],"memorize":[65,77],"given":[67],"set":[68],"information?":[70,78],"How":[71,79],"long":[72,80],"will":[73,81],"it":[74],"take":[75],"remember":[83],"information":[85],"that":[86,97],"was":[87],"memorized?The":[88],"is":[90,132],"based":[91],"known":[93],"memory":[94],"retention":[95],"functions":[96,110],"in":[99],"good":[100],"agreement":[101],"experimental":[103],"results.":[104],"By":[105],"use":[107],"these":[109],"by":[112],"formalism":[113],"differential":[115],"equations,":[116],"concurrent":[118],"forgetting":[123],"described":[125],"mathematically.":[126],"usability":[128],"this":[130],"limited":[133],"scenarios":[135],"where":[136],"logical":[137],"bonds":[138],"(connections":[139],"prior":[141],"learning)":[142],"not":[144],"created":[145],"mnemonic":[147],"devices":[148],"cannot":[149],"utilized":[151],"during":[152],"process.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
