{"id":"https://openalex.org/W2772618383","doi":"https://doi.org/10.1109/smc.2017.8122724","title":"Tensor product based modeling of tumor growth","display_name":"Tensor product based modeling of tumor growth","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2772618383","doi":"https://doi.org/10.1109/smc.2017.8122724","mag":"2772618383"},"language":"en","primary_location":{"id":"doi:10.1109/smc.2017.8122724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smc.2017.8122724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Systems, Man, and Cybernetics (SMC)","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/A5077451025","display_name":"Gy\u00f6rgy Eigner","orcid":"https://orcid.org/0000-0001-8038-2210"},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Gyorgy Eigner","raw_affiliation_strings":["Physiological Controls Research Center and Research, Innovation, and Service Center, Obuda University, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physiological Controls Research Center and Research, Innovation, and Service Center, Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010869153","display_name":"Imre J. Rudas","orcid":"https://orcid.org/0000-0002-2067-8578"},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Imre Rudas","raw_affiliation_strings":["Research, Innovation, and Service Center, Obuda University, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research, Innovation, and Service Center, Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056333123","display_name":"Anik\u00f3 Szak\u00e1l","orcid":null},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Aniko Szakal","raw_affiliation_strings":["Physiological Controls Research Center and Research, Innovation, and Service Center, Obuda University, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physiological Controls Research Center and Research, Innovation, and Service Center, Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021051122","display_name":"Levente Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-3188-0800"},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Levente Kovacs","raw_affiliation_strings":["Physiological Controls Research Center and Research, Innovation, and Service Center, Obuda University, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physiological Controls Research Center and Research, Innovation, and Service Center, Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I103356709"],"apc_list":null,"apc_paid":null,"fwci":1.1457,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81214232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"900","last_page":"905"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8982999920845032,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8982999920845032,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.8883000016212463,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.8359000086784363,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6409997940063477},{"id":"https://openalex.org/keywords/model-transformation","display_name":"Model transformation","score":0.6164687275886536},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.6121754050254822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5690057277679443},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5522913932800293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5024659633636475},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5007691383361816},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.47997426986694336},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4784640967845917},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.47409161925315857},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4409433901309967},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44030967354774475},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4169086217880249},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32649391889572144},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32197508215904236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2879509925842285},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14734718203544617},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14277693629264832},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08798587322235107}],"concepts":[{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6409997940063477},{"id":"https://openalex.org/C2779791154","wikidata":"https://www.wikidata.org/wiki/Q258040","display_name":"Model transformation","level":3,"score":0.6164687275886536},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.6121754050254822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5690057277679443},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5522913932800293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5024659633636475},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5007691383361816},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.47997426986694336},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4784640967845917},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.47409161925315857},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4409433901309967},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44030967354774475},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4169086217880249},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32649391889572144},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32197508215904236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2879509925842285},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14734718203544617},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14277693629264832},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08798587322235107},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/smc.2017.8122724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smc.2017.8122724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Systems, Man, and Cybernetics (SMC)","raw_type":"proceedings-article"},{"id":"pmh:oai:real.mtak.hu:74886","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329090","display_name":"\u00d3budai Egyetem","ror":"https://ror.org/00ax71d21"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W562026345","https://openalex.org/W1608150784","https://openalex.org/W1617532289","https://openalex.org/W1943173994","https://openalex.org/W1971440301","https://openalex.org/W2025016054","https://openalex.org/W2039738367","https://openalex.org/W2074451407","https://openalex.org/W2093402029","https://openalex.org/W2101961850","https://openalex.org/W2121929569","https://openalex.org/W2132059405","https://openalex.org/W2137797191","https://openalex.org/W2154771107","https://openalex.org/W2339058578","https://openalex.org/W2340209847","https://openalex.org/W2509655800","https://openalex.org/W2530601300","https://openalex.org/W2586479532","https://openalex.org/W2587346428","https://openalex.org/W2619490433","https://openalex.org/W2748466577","https://openalex.org/W4242672339","https://openalex.org/W6640822977","https://openalex.org/W6675433768","https://openalex.org/W6703931248","https://openalex.org/W6824619435"],"related_works":["https://openalex.org/W2364400229","https://openalex.org/W1988613072","https://openalex.org/W2159183434","https://openalex.org/W2157133118","https://openalex.org/W2083001816","https://openalex.org/W2381039361","https://openalex.org/W2367221173","https://openalex.org/W2369575937","https://openalex.org/W2178641308","https://openalex.org/W2351484374"],"abstract_inverted_index":{"The":[0,62,81,143],"application":[1],"of":[2,25,39,64,83,92,104,136],"the":[3,9,19,44,75,84,90,93,106,126,134],"Soft":[4],"Computing":[5],"based":[6,54],"methods,":[7],"especially,":[8],"Tensor":[10],"Product":[11],"(TP)":[12],"transformation":[13],"has":[14],"several":[15],"beneficial":[16],"properties":[17],"from":[18],"biological":[20],"modeling":[21],"and":[22,49,139],"control":[23,101,114],"point":[24,103],"view,":[26,105],"because":[27],"complex,":[28],"nonlinear":[29],"processes":[30],"can":[31,56,73,109],"be":[32,57,110,147],"handled":[33],"by":[34],"them":[35],"effectively.":[36],"Another":[37],"advantage":[38],"these":[40],"tools":[41],"consist":[42],"on":[43,153],"Linear":[45,50],"Parameter":[46],"Varying":[47],"(LPV)":[48],"Matrix":[51],"Inequality":[52],"(LMI)":[53],"techniques":[55],"easily":[58],"connected":[59],"to":[60,68,88,95],"them.":[61],"aim":[63],"this":[65,117],"study":[66],"is":[67,87],"develop":[69],"TP":[70,122,144],"models,":[71,123],"which":[72,124],"describe":[74],"tumor":[76,94],"growth":[77],"beside":[78],"anti-angiogenic":[79,85],"treatment.":[80],"role":[82],"therapies":[86],"decrease":[89],"size":[91],"operable":[96],"or":[97],"maintainable":[98],"level.":[99],"From":[100],"engineering":[102],"treatment":[107],"process":[108],"formulated":[111],"as":[112],"a":[113],"task.":[115],"In":[116],"work,":[118],"we":[119],"realized":[120],"two":[121],"approximates":[125],"initial":[127],"transformed":[128],"model":[129],"with":[130],"high":[131],"accuracy,":[132],"regardless":[133],"kind":[135],"input":[137],"load":[138],"without":[140],"stability":[141],"problems.":[142],"models":[145],"will":[146],"used":[148],"for":[149],"TP-based":[150],"controller":[151],"design":[152],"LMI":[154],"basis.":[155]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-04T06:14:18.571774","created_date":"2025-10-10T00:00:00"}
