{"id":"https://openalex.org/W2051451918","doi":"https://doi.org/10.1142/s0218127412502586","title":"PARRONDO'S GAME MODEL TO FIND NUMERICALLY STABLE ATTRACTORS OF A TUMOR GROWTH MODEL","display_name":"PARRONDO'S GAME MODEL TO FIND NUMERICALLY STABLE ATTRACTORS OF A TUMOR GROWTH MODEL","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2051451918","doi":"https://doi.org/10.1142/s0218127412502586","mag":"2051451918"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502586","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502586","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-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/A5007038086","display_name":"Marius\u2010F. Danca","orcid":"https://orcid.org/0000-0001-7699-8709"},"institutions":[{"id":"https://openalex.org/I4210141787","display_name":"Romanian Institute of Science and Technology","ror":"https://ror.org/04dchsd96","country_code":"RO","type":"nonprofit","lineage":["https://openalex.org/I4210141787"]},{"id":"https://openalex.org/I4210163965","display_name":"Universitatea Avram Iancu","ror":"https://ror.org/05aemnj50","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210163965"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"MARIUS-F. DANCA","raw_affiliation_strings":["Department of Mathematics and Computer Science, Avram Iancu University, Str. Ilie Macelaru, nr. 1A, 400380 Cluj-Napoca, Romania","Romanian Institute of Science and Technology, Str. Ciresilor nr. 29, 400487 Cluj-Napoca, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Avram Iancu University, Str. Ilie Macelaru, nr. 1A, 400380 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I4210163965"]},{"raw_affiliation_string":"Romanian Institute of Science and Technology, Str. Ciresilor nr. 29, 400487 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I4210141787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059257496","display_name":"Dejian Lai","orcid":"https://orcid.org/0000-0003-1927-8021"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]},{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"DEJIAN LAI","raw_affiliation_strings":["Division of Biostatistics, University of Texas, School of Public Health, RAS W1006, Houston, TX 77030, USA","Faculty of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Biostatistics, University of Texas, School of Public Health, RAS W1006, Houston, TX 77030, USA","institution_ids":["https://openalex.org/I919571938"]},{"raw_affiliation_string":"Faculty of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi, P. R. China","institution_ids":["https://openalex.org/I59649739"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.522,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.65033169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"10","first_page":"1250258","last_page":"1250258"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9452999830245972,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8275426626205444},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7337436676025391},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.684233546257019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5619581937789917},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5273978114128113},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5222804546356201},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5198057889938354},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46347981691360474},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4407997727394104},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3778468668460846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28772521018981934},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24351558089256287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23783376812934875},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2331346869468689},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0720376968383789}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8275426626205444},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7337436676025391},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.684233546257019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5619581937789917},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5273978114128113},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5222804546356201},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5198057889938354},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46347981691360474},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4407997727394104},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3778468668460846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28772521018981934},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24351558089256287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23783376812934875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2331346869468689},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0720376968383789},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127412502586","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502586","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.712.6272","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.712.6272","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.danca.rist.ro/doc/IJBC-D-11-00283.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1984613448","https://openalex.org/W2007934968","https://openalex.org/W2025021512","https://openalex.org/W2032121576","https://openalex.org/W2040268294","https://openalex.org/W2047677763","https://openalex.org/W2123643291","https://openalex.org/W2147212734","https://openalex.org/W2148301044","https://openalex.org/W2172166318"],"related_works":["https://openalex.org/W2379488025","https://openalex.org/W2318462079","https://openalex.org/W2585728124","https://openalex.org/W2169362996","https://openalex.org/W2340294931","https://openalex.org/W2565482338","https://openalex.org/W2082884906","https://openalex.org/W2377705019","https://openalex.org/W2001163940","https://openalex.org/W2384473241"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,16,22,45,49,72,85,90,101,116],"simple":[6],"and":[7],"accessible":[8],"way":[9],"to":[10,48,77,106],"enhance":[11],"the":[12,57,68,81,98,119],"stable":[13,86,107],"behaviors":[14],"of":[15,44,52,64,74,103,118],"chaotic":[17,79,91],"dynamical":[18,53],"system":[19,46],"which":[20],"models":[21],"cancer":[23],"growth,":[24],"as":[25],"presented":[26,34],"in":[27,35,60,114],"[Itik":[28],"&amp;":[29],"Banks,":[30],"2010].":[31],"The":[32],"algorithm":[33],"[Danca":[36],"et":[37],"al.,":[38],"2012],":[39],"approximates":[40],"numerically":[41],"any":[42],"attractor":[43],"belonging":[47],"defined":[50],"class":[51],"systems,":[54],"by":[55,96],"alternating":[56],"control":[58,69],"parameter":[59,70,99],"relatively":[61],"short":[62],"periods":[63],"time.":[65],"When":[66],"switching":[67,97],"within":[71,100],"set":[73,102],"values":[75,104],"corresponding":[76,105],"some":[78],"behaviors,":[80],"result":[82],"may":[83,93],"be":[84,94],"evolution":[87],"or,":[88],"reversely":[89],"behavior":[92],"obtained":[95],"evolutions.":[108],"This":[109],"apparently":[110],"surprising":[111],"phenomenon":[112],"is,":[113],"fact,":[115],"generalization":[117],"known":[120],"Parrondo's":[121],"paradox.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
