{"id":"https://openalex.org/W4289535530","doi":"https://doi.org/10.1063/5.0082986","title":"The optimal control of tumor virotherapy treatment model with external supplies","display_name":"The optimal control of tumor virotherapy treatment model with external supplies","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4289535530","doi":"https://doi.org/10.1063/5.0082986"},"language":"en","primary_location":{"id":"doi:10.1063/5.0082986","doi":"https://doi.org/10.1063/5.0082986","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0082986","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5084962324","display_name":"Raqqasyi Rahmatullah Musafir","orcid":"https://orcid.org/0000-0002-6049-3906","observed_orcids":["https://orcid.org/0000-0002-6049-3906"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Raqqasyi Rahmatullah Musafir","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Science, Brawijaya University, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Science, Brawijaya University, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020960372","display_name":"Trisilowati","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"Trisilowati","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Science, Brawijaya University, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Science, Brawijaya University, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026880072","display_name":"Nur Shofianah","orcid":"https://orcid.org/0000-0002-6708-8698","observed_orcids":["https://orcid.org/0000-0002-6708-8698"]},"institutions":[{"id":"https://openalex.org/I177055848","display_name":"University of Brawijaya","ror":"https://ror.org/01wk3d929","country_code":"ID","type":"education","lineage":["https://openalex.org/I177055848"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Nur Shofianah","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Science, Brawijaya University, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Science, Brawijaya University, Malang, Indonesia","institution_ids":["https://openalex.org/I177055848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020960372"],"corresponding_institution_ids":["https://openalex.org/I177055848"],"apc_list":null,"apc_paid":null,"fwci":1.2964,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7295797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"2501","issue":null,"first_page":"020019","last_page":"020019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9976000189781189,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.001500000013038516,"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"}},{"id":"https://openalex.org/T10613","display_name":"Virus-based gene therapy research","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/oncolytic-viruses","display_name":"oncolytic viruses","score":0.718999981880188},{"id":"https://openalex.org/keywords/chemotherapy","display_name":"chemotherapy","score":0.6579999923706055},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.9129999876022339},{"id":"https://openalex.org/keywords/pontryagin-s-maximum-principle","display_name":"Pontryagin maximum principle","score":0.8119999766349792},{"id":"https://openalex.org/keywords/forward-backward-sweep-method","display_name":"forward-backward sweep method","score":0.8820000290870667},{"id":"https://openalex.org/keywords/maximum-tolerated-dose","display_name":"maximum tolerated dose","score":0.7630000114440918},{"id":"https://openalex.org/keywords/tumor-immune-dynamics","display_name":"tumor-immune dynamics","score":0.5809999704360962},{"id":"https://openalex.org/keywords/treatment-side-effects","display_name":"treatment side effects","score":0.4399999976158142}],"concepts":[{"id":"https://openalex.org/C82210918","wikidata":"https://www.wikidata.org/wiki/Q1560099","display_name":"Oncolytic virus","level":3,"score":0.8518645167350769},{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.5987083911895752},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5832921266555786},{"id":"https://openalex.org/C49744831","wikidata":"https://www.wikidata.org/wiki/Q600121","display_name":"Virotherapy","level":4,"score":0.5472415089607239},{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.5369309186935425},{"id":"https://openalex.org/C502942594","wikidata":"https://www.wikidata.org/wiki/Q3421914","display_name":"Cancer research","level":1,"score":0.3759532570838928},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3295292854309082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3087556064128876},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2737230062484741},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.2433866560459137}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/5.0082986","doi":"https://doi.org/10.1063/5.0082986","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0082986","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9391000270843506,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W231975775","https://openalex.org/W2609766251","https://openalex.org/W2620477402","https://openalex.org/W2834875999","https://openalex.org/W2922091166","https://openalex.org/W2954601665","https://openalex.org/W2965055651","https://openalex.org/W3027817760","https://openalex.org/W3096018588","https://openalex.org/W3130520328","https://openalex.org/W4243265062"],"related_works":["https://openalex.org/W3012393963","https://openalex.org/W3123065422","https://openalex.org/W4318689103","https://openalex.org/W4200170070","https://openalex.org/W7203732892","https://openalex.org/W3140118520","https://openalex.org/W3146838126","https://openalex.org/W2032119610","https://openalex.org/W4414124697","https://openalex.org/W7128592937"],"abstract_inverted_index":{"This":[0,22],"paper":[1],"focuses":[2],"on":[3],"optimal":[4,105,121],"control":[5,78,106,122],"of":[6,48,58,71,103,115,181,211,223,241],"a":[7,76],"tumor":[8,29,34,59,110],"virotherapy":[9],"treatment":[10],"model":[11,23,42],"with":[12,79,137,146,173],"external":[13],"supplies":[14],"such":[15],"as":[16,84,193,195],"chemo-":[17],"drugs":[18],"or":[19],"viral":[20,66,97,214],"injection.":[21],"contains":[24],"four":[25],"subpopulation":[26],"compartments:":[27],"uninfected":[28],"cells":[30,60,63],"by":[31,45,123],"viruses,":[32,37],"infected":[33],"cells,":[35],"oncolytic":[36,72],"and":[38,61,90,96,112,144,162,179,201,229],"immune":[39,62],"cells.":[40],"The":[41,101,165,188,213],"is":[43,107,130],"given":[44],"the":[46,56,65,69,116,133,169,184,198,209,224,227,236,239,242],"system":[47],"ordinary":[49],"differential":[50],"equations.":[51],"Chemo-drugs":[52],"can":[53,190,216],"slow":[54],"down":[55],"growth":[57,70],"while":[64],"injection":[67,98,215],"accelerate":[68],"viruses.":[73],"We":[74],"defined":[75],"positive":[77],"maximum":[80],"tolerated":[81],"dosage":[82,95],"(MTDs)":[83],"upper":[85],"bound,":[86],"that":[87,159,168],"is,":[88,160],"u1":[89,140,145,152],"u2":[91,142,157],"represent":[92],"chemotherapy":[93],"drug":[94],"dosage,":[99],"respectively.":[100,148,164],"objective":[102],"this":[104],"to":[108,203,206,220,231],"minimize":[109],"density":[111,180],"side":[113,177],"effects":[114,178],"controls.":[117,212,243],"Here,":[118,149],"we":[119,150],"get":[120],"applying":[124],"Pontryagin\u2019s":[125],"Minimum":[126],"Principle.":[127],"Numerical":[128],"simulation":[129,166],"implemented":[131],"using":[132],"Forward-Backward":[134],"Sweep":[135],"Method":[136],"three":[138],"strategies:":[139],"only,":[141,143],"u2,":[147],"set":[151],"weight":[153],"much":[154,194],"larger":[155],"than":[156,183],"weight,":[158],"50":[161],"1,":[163],"shows":[167],"third":[170],"strategy":[171],"(u1":[172],"u2)":[174],"has":[175],"minimum":[176],"tumors":[182],"others":[185],"controls":[186],"combination.":[187],"chemo-drugs":[189],"be":[191,204,217,232],"consumed":[192,218],"MTDs":[196,225],"in":[197],"first":[199],"quarter":[200],"need":[202],"reduced":[205,233],"depletion":[207],"at":[208,226,238],"end":[210,237],"up":[219],"80":[221],"percent":[222],"start":[228],"needs":[230],"exponentially":[234],"until":[235],"period":[240]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-08-03T00:00:00"}
