{"id":"https://openalex.org/W1857969216","doi":"https://doi.org/10.1155/2015/378753","title":"A Fuzzy Delay Approach for HIV Dynamics Using a Cellular Automaton","display_name":"A Fuzzy Delay Approach for HIV Dynamics Using a Cellular Automaton","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1857969216","doi":"https://doi.org/10.1155/2015/378753","mag":"1857969216"},"language":"en","primary_location":{"id":"doi:10.1155/2015/378753","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/378753","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/378753.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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/2015/378753.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039602087","display_name":"Rosana Sueli da Motta Jafelice","orcid":"https://orcid.org/0000-0001-8489-3974"},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"R. Motta Jafelice","raw_affiliation_strings":["Faculty of Mathematics, Federal University of Uberl\u00e2ndia, 38408-100 Uberl\u00e2ndia, MG, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Federal University of Uberl\u00e2ndia, 38408-100 Uberl\u00e2ndia, MG, Brazil","institution_ids":["https://openalex.org/I80850581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028239833","display_name":"C. A. F. Silva","orcid":null},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"C. A. F. Silva","raw_affiliation_strings":["Faculty of Mechanical Engineering, Federal University of Uberl\u00e2ndia, 38408-100 Uberl\u00e2ndia, MG, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, Federal University of Uberl\u00e2ndia, 38408-100 Uberl\u00e2ndia, MG, Brazil","institution_ids":["https://openalex.org/I80850581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073690771","display_name":"La\u00e9cio Carvalho de Barros","orcid":"https://orcid.org/0000-0003-4322-5974"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"L. C. Barros","raw_affiliation_strings":["Department of Applied Mathematics, IMECC, State University of Campinas, 13083-859 Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, IMECC, State University of Campinas, 13083-859 Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084849908","display_name":"Rodney Carlos Bassanezi","orcid":"https://orcid.org/0000-0002-5219-5319"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"R. C. Bassanezi","raw_affiliation_strings":["Department of Applied Mathematics, IMECC, State University of Campinas, 13083-859 Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, IMECC, State University of Campinas, 13083-859 Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039602087"],"corresponding_institution_ids":["https://openalex.org/I80850581"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.6808,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.76345719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2015","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.95660001039505,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9162999987602234,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/cellular-automaton","display_name":"Cellular automaton","score":0.7974073886871338},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6728688478469849},{"id":"https://openalex.org/keywords/potency","display_name":"Potency","score":0.5977674722671509},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.5108180046081543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4723449945449829},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.44672006368637085},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42683178186416626},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4258206784725189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41093772649765015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32609808444976807},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2956259548664093},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.26998838782310486},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2477329969406128},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.19804251194000244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1837361752986908},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13436797261238098},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13074472546577454},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.09270811080932617}],"concepts":[{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.7974073886871338},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6728688478469849},{"id":"https://openalex.org/C57992300","wikidata":"https://www.wikidata.org/wiki/Q2066956","display_name":"Potency","level":3,"score":0.5977674722671509},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.5108180046081543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4723449945449829},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.44672006368637085},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42683178186416626},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4258206784725189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41093772649765015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32609808444976807},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2956259548664093},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.26998838782310486},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2477329969406128},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.19804251194000244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1837361752986908},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13436797261238098},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13074472546577454},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.09270811080932617},{"id":"https://openalex.org/C202751555","wikidata":"https://www.wikidata.org/wiki/Q221681","display_name":"In vitro","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2015/378753","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/378753","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/378753.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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/1439816407","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1439816407","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:378753","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2015/378753.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:92214ddbc5cc447f8698a93f3e6a457c","is_oa":true,"landing_page_url":"https://doaj.org/article/92214ddbc5cc447f8698a93f3e6a457c","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2015 (2015)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2015/378753","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/378753","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/378753.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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":[{"score":0.8399999737739563,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G2329282697","display_name":null,"funder_award_id":"477918/2010-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G6976001888","display_name":null,"funder_award_id":"2013-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8680083047","display_name":null,"funder_award_id":"305862/2013-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1857969216.pdf","grobid_xml":"https://content.openalex.org/works/W1857969216.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W56882019","https://openalex.org/W1480643874","https://openalex.org/W1668626157","https://openalex.org/W1980587508","https://openalex.org/W1998932188","https://openalex.org/W2012267681","https://openalex.org/W2020253702","https://openalex.org/W2029219161","https://openalex.org/W2036919025","https://openalex.org/W2039930791","https://openalex.org/W2041774032","https://openalex.org/W2047173345","https://openalex.org/W2071085880","https://openalex.org/W2085722235","https://openalex.org/W2090297178","https://openalex.org/W2150303830","https://openalex.org/W2150523863","https://openalex.org/W2912565176","https://openalex.org/W4252285110","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4365135407","https://openalex.org/W2004647072","https://openalex.org/W3186246047","https://openalex.org/W4220995267","https://openalex.org/W2030622236","https://openalex.org/W2031570580","https://openalex.org/W2404477942","https://openalex.org/W2362739353","https://openalex.org/W2324506988","https://openalex.org/W4281745809"],"abstract_inverted_index":{"The":[0,34,80,181],"objective":[1],"of":[2,10,28,31,37,59,62,77,82,112,119,165],"this":[3],"research":[4],"is":[5,41,49,71,124,141],"to":[6,56,73,130],"study":[7],"the":[8,57,60,75,78,86,99,103,116,135,138,148,151,155,162],"evolution":[9],"CD4+":[11,38,120,157],"T":[12,39,121,158],"lymphocytes":[13,40],"infected":[14,156,166],"with":[15,45,96,188],"HIV":[16],"in":[17,85,134,185,193],"HIV-seropositive":[18],"individuals":[19,169],"under":[20],"antiretroviral":[21,83],"treatment":[22,104,179],"utilizing":[23],"a":[24,29,42,52,92,143,194],"mathematical":[25],"model":[26],"consisting":[27],"system":[30,95],"delay-differential":[32],"equations.":[33],"infection":[35,117,139],"rate":[36,118,140],"time-dependent":[43],"parameter":[44],"delay.":[46],"Such":[47],"delay":[48],"given":[50],"by":[51],"fuzzy":[53,93,144,149],"number":[54],"due":[55],"uncertainty":[58],"effects":[61,81],"both":[63],"pharmacological":[64],"and":[65,102,150,174,178],"intracellular":[66],"delays.":[67],"A":[68],"cellular":[69,87],"automaton":[70,88],"utilized":[72],"estimate":[74],"parameters":[76],"system.":[79],"therapy":[84],"are":[89,184],"modeled":[90],"using":[91],"rule-based":[94],"two":[97],"inputs:":[98],"medication":[100,177],"potency":[101,176],"adhesion":[105],"for":[106,154,168],"three":[107],"hypothetical":[108],"individuals.":[109],"For":[110],"each":[111],"them,":[113],"we":[114,146],"determine":[115,147],"lymphocytes,":[122],"which":[123],"different":[125],"from":[126],"zero,":[127],"as":[128],"opposed":[129],"other":[131],"studies":[132],"reported":[133],"literature.":[136],"As":[137],"considered":[142],"parameter,":[145],"defuzzified":[152],"solutions":[153],"lymphocytes.":[159],"We":[160],"obtain":[161],"maximum":[163],"values":[164],"cells":[167],"that":[170],"receive":[171],"low,":[172],"medium,":[173],"high":[175],"adhesion.":[180],"results":[182],"obtained":[183],"accordance":[186],"qualitatively":[187],"what":[189],"would":[190],"be":[191],"expected":[192],"real":[195],"situation.":[196]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}