{"id":"https://openalex.org/W2913937412","doi":"https://doi.org/10.1109/bibm.2018.8621545","title":"Optimal control in a mathematical model for tumor escape","display_name":"Optimal control in a mathematical model for tumor escape","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2913937412","doi":"https://doi.org/10.1109/bibm.2018.8621545","mag":"2913937412"},"language":"en","primary_location":{"id":"doi:10.1109/bibm.2018.8621545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2018.8621545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"},"type":"article","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/A5067031673","display_name":"Carlo Bianca","orcid":"https://orcid.org/0000-0003-1122-7510"},"institutions":[{"id":"https://openalex.org/I4387153943","display_name":"Laboratoire Quartz","ror":"https://ror.org/01s6q2813","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210144798","https://openalex.org/I4387153943","https://openalex.org/I86175216"]},{"id":"https://openalex.org/I2802505300","display_name":"\u00c9cole Sup\u00e9rieure d'Ing\u00e9nieurs en G\u00e9nie \u00c9lectrique","ror":"https://ror.org/01apwkd48","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802505300"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Carlo Bianca","raw_affiliation_strings":["\u00c9cole Sup\u00e9rieure d\u2019Ing\u00e9nieurs en G\u00e9nie \u00c9lectrique, Laboratoire Quartz EA 7393 and Laboratoire de Recherche en Eco-innovation Industrielle et Energ\u00e9tique, Paris, Productique et Management Industriel Cergy-Pontoise 95092, France","\u00c9cole Sup\u00e9rieure d'Ing\u00e9nieurs en G\u00e9nie \u00c9lectrique, Laboratoire Quartz EA 7393 and Laboratoire de Recherche en Eco-innovation Industrielle et Energ\u00e9tique, Paris, Productique et Management Industriel Cergy-Pontoise 95092, France"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Sup\u00e9rieure d\u2019Ing\u00e9nieurs en G\u00e9nie \u00c9lectrique, Laboratoire Quartz EA 7393 and Laboratoire de Recherche en Eco-innovation Industrielle et Energ\u00e9tique, Paris, Productique et Management Industriel Cergy-Pontoise 95092, France","institution_ids":["https://openalex.org/I2802505300","https://openalex.org/I4387153943"]},{"raw_affiliation_string":"\u00c9cole Sup\u00e9rieure d'Ing\u00e9nieurs en G\u00e9nie \u00c9lectrique, Laboratoire Quartz EA 7393 and Laboratoire de Recherche en Eco-innovation Industrielle et Energ\u00e9tique, Paris, Productique et Management Industriel Cergy-Pontoise 95092, France","institution_ids":["https://openalex.org/I2802505300","https://openalex.org/I4387153943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043950818","display_name":"Santo Motta","orcid":"https://orcid.org/0000-0003-3533-2972"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Santo Motta","raw_affiliation_strings":["Italian League against Cancer Section of Catania, Italy"],"affiliations":[{"raw_affiliation_string":"Italian League against Cancer Section of Catania, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067031673"],"corresponding_institution_ids":["https://openalex.org/I2802505300","https://openalex.org/I4387153943"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14754399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"1357","last_page":"1360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998999834060669,"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":0.9998999834060669,"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/T12672","display_name":"Phagocytosis and Immune Regulation","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10158","display_name":"Cancer Immunotherapy and Biomarkers","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/immune-system","display_name":"Immune system","score":0.7446554899215698},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5395345687866211},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5293866991996765},{"id":"https://openalex.org/keywords/tumor-cells","display_name":"Tumor cells","score":0.48682230710983276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4690905809402466},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44483983516693115},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44018393754959106},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38479477167129517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3724403381347656},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34933435916900635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33648455142974854},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3198825716972351},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.24738463759422302},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.21235689520835876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1922433078289032},{"id":"https://openalex.org/keywords/cancer-research","display_name":"Cancer research","score":0.17752036452293396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09442171454429626}],"concepts":[{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.7446554899215698},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5395345687866211},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5293866991996765},{"id":"https://openalex.org/C3020616263","wikidata":"https://www.wikidata.org/wiki/Q1216998","display_name":"Tumor cells","level":2,"score":0.48682230710983276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4690905809402466},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44483983516693115},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44018393754959106},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38479477167129517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3724403381347656},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34933435916900635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33648455142974854},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3198825716972351},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.24738463759422302},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.21235689520835876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1922433078289032},{"id":"https://openalex.org/C502942594","wikidata":"https://www.wikidata.org/wiki/Q3421914","display_name":"Cancer research","level":1,"score":0.17752036452293396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09442171454429626},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibm.2018.8621545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2018.8621545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W61315518","https://openalex.org/W1567262822","https://openalex.org/W2004630197","https://openalex.org/W2033593383","https://openalex.org/W2038132127","https://openalex.org/W2057754694","https://openalex.org/W2093334570","https://openalex.org/W2100594181","https://openalex.org/W2334591577","https://openalex.org/W2530817257","https://openalex.org/W2551385843","https://openalex.org/W2561125584","https://openalex.org/W2603889387","https://openalex.org/W2774903574","https://openalex.org/W2778958106","https://openalex.org/W3206777520","https://openalex.org/W4302609762","https://openalex.org/W6602528005","https://openalex.org/W6675144122","https://openalex.org/W6728384411","https://openalex.org/W6729718309","https://openalex.org/W6747138224"],"related_works":["https://openalex.org/W2357948923","https://openalex.org/W4313472242","https://openalex.org/W2332159055","https://openalex.org/W2030500189","https://openalex.org/W2419188526","https://openalex.org/W2144422987","https://openalex.org/W2018938924","https://openalex.org/W3171722058","https://openalex.org/W2138713378","https://openalex.org/W2043671984"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"the":[4,14,22,35,41,57,61,64,69,72,89,99,104,107,112,116,128,143,150,154,162,165,172],"medical":[5],"treatment":[6],"of":[7,51,60,63,71,91,109,153,164],"tumors":[8],"which":[9,33,94],"are":[10,95,131],"able":[11,96],"to":[12,39,87,97,137,146],"escape":[13,98,118],"immune":[15,24,36,65,100],"system":[16,25,37,50,66,101],"surveillance.":[17],"A":[18],"mathematical":[19,45],"model":[20,46,157],"for":[21,124],"tumor":[23,42,73,92,117],"competition":[26],"is":[27,83,140,158,168],"generalized":[28],"by":[29,170],"introducing":[30],"a":[31,49,125],"therapy":[32,113,122],"helps":[34],"cells":[38,67,93],"recognize":[40],"cells.":[43],"The":[44,121,134,156],"consists":[47],"into":[48],"two":[52],"ordinary":[53],"differential":[54],"equations":[55],"modeling":[56],"time":[58],"evolution":[59],"density":[62,70],"and":[68,76,161],"cells,":[74],"respectively,":[75],"their":[77],"competition.":[78],"An":[79],"optimal":[80,166],"control":[81,105,167],"strategy":[82],"introduced":[84],"in":[85],"order":[86],"reduce":[88],"percentage":[90,108],"action.":[102],"Specifically":[103],"represents":[106],"effect":[110],"that":[111],"has":[114],"on":[115,142],"phenomenon":[119],"production.":[120],"lasts":[123],"given":[126],"period;":[127],"results,":[129],"however,":[130],"not":[132],"interval-dependent.":[133],"objective":[135],"function":[136],"be":[138],"maximized":[139],"based":[141],"benefit":[144],"related":[145],"T-cell":[147],"counts":[148],"less":[149],"systemic":[151],"cost":[152],"therapy.":[155],"mathematically":[159],"analyzed":[160],"existence":[163],"investigated":[169],"using":[171],"Pontryagins":[173],"Maximum":[174],"Principle.":[175]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}