{"id":"https://openalex.org/W7204188640","doi":"https://doi.org/10.1109/ines69513.2026.11661153","title":"Mathematical Models of Tumor Growth: From Population Dynamics to Hybrid Models","display_name":"Mathematical Models of Tumor Growth: From Population Dynamics to Hybrid Models","publication_year":2026,"publication_date":"2026-07-01","ids":{"openalex":"https://openalex.org/W7204188640","doi":"https://doi.org/10.1109/ines69513.2026.11661153"},"language":"en","primary_location":{"id":"doi:10.1109/ines69513.2026.11661153","doi":"https://doi.org/10.1109/ines69513.2026.11661153","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ines69513.2026.11661153","pdf_url":null,"source":{"id":"https://openalex.org/S7407087665","display_name":"IEEE International Conference on Intelligent Engineering Systems (INES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 IEEE 30th International Conference on Intelligent Engineering Systems (INES)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/ines69513.2026.11661153","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051845260","display_name":"Mel\u00e1nia Pusk\u00e1s","orcid":"https://orcid.org/0009-0003-9694-6553","observed_orcids":["https://orcid.org/0009-0003-9694-6553"]},"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":"Mel\u00e1nia Pusk\u00e1s","raw_affiliation_strings":["Obuda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Obuda University","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092276535","display_name":"Martin Ferenc D\u00f6m\u00e9ny","orcid":null,"observed_orcids":[]},"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":"Martin Ferenc D\u00f6m\u00e9ny","raw_affiliation_strings":["Obuda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Obuda University","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092276465","display_name":"Lilla Kisbenedek","orcid":null,"observed_orcids":[]},"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":"Lilla Kisbenedek","raw_affiliation_strings":["Obuda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Obuda University","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148174016","display_name":"Levente Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-3188-0800","observed_orcids":["https://orcid.org/0000-0002-3188-0800","https://orcid.org/0000-0002-3226-3740"]},"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 Kov\u00e1cs","raw_affiliation_strings":["Obuda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Obuda University","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071491835","display_name":"D\u00e1niel Andr\u00e1s Drexler","orcid":"https://orcid.org/0000-0001-6655-4354","observed_orcids":["https://orcid.org/0000-0001-6655-4354"]},"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":"D\u00e1niel Andr\u00e1s Drexler","raw_affiliation_strings":["Obuda University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Obuda University","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":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"235","last_page":"240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":1.0,"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":1.0,"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/T10336","display_name":"Cancer Cells and Metastasis","score":0.0,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.0,"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/tumor-growth-modeling","display_name":"tumor growth modeling","score":0.9039999842643738},{"id":"https://openalex.org/keywords/hybrid-model","display_name":"hybrid model","score":0.6830000281333923},{"id":"https://openalex.org/keywords/deterministic-models","display_name":"deterministic models","score":0.8450000286102295},{"id":"https://openalex.org/keywords/stochastic-modeling","display_name":"stochastic modeling","score":0.996999979019165},{"id":"https://openalex.org/keywords/population-dynamics","display_name":"population dynamics","score":0.7229999899864197},{"id":"https://openalex.org/keywords/rare-events","display_name":"rare events","score":0.7149999737739563},{"id":"https://openalex.org/keywords/phenotypic-switching","display_name":"phenotypic switching","score":0.7279999852180481},{"id":"https://openalex.org/keywords/tumor-dormancy","display_name":"tumor dormancy","score":0.7950000166893005},{"id":"https://openalex.org/keywords/drug-resistance","display_name":"drug resistance","score":0.7329999804496765},{"id":"https://openalex.org/keywords/treatment-response","display_name":"treatment response","score":0.6489999890327454},{"id":"https://openalex.org/keywords/cancer-therapy-design","display_name":"cancer therapy design","score":0.5669999718666077}],"concepts":[{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.6678000092506409},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5396999716758728},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4691999852657318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46700000762939453},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.3813999891281128},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32919999957084656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30889999866485596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26820001006126404},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.25270000100135803}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ines69513.2026.11661153","doi":"https://doi.org/10.1109/ines69513.2026.11661153","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ines69513.2026.11661153","pdf_url":null,"source":{"id":"https://openalex.org/S7407087665","display_name":"IEEE International Conference on Intelligent Engineering Systems (INES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 IEEE 30th International Conference on Intelligent Engineering Systems (INES)","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1109/ines69513.2026.11661153","doi":"https://doi.org/10.1109/ines69513.2026.11661153","is_oa":true,"landing_page_url":"https://doi.org/10.1109/ines69513.2026.11661153","pdf_url":null,"source":{"id":"https://openalex.org/S7407087665","display_name":"IEEE International Conference on Intelligent Engineering Systems (INES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 IEEE 30th International Conference on Intelligent Engineering Systems (INES)","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.4000000059604645}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1487585568","https://openalex.org/W1832539213","https://openalex.org/W1988414899","https://openalex.org/W2014347305","https://openalex.org/W2038710404","https://openalex.org/W2040163651","https://openalex.org/W2084924279","https://openalex.org/W2086495977","https://openalex.org/W2089362240","https://openalex.org/W2093697174","https://openalex.org/W2125857415","https://openalex.org/W2133195786","https://openalex.org/W2138434918","https://openalex.org/W2142198322","https://openalex.org/W2148955310","https://openalex.org/W2153938747","https://openalex.org/W2155418451","https://openalex.org/W2167154952","https://openalex.org/W2346058753","https://openalex.org/W2795245867","https://openalex.org/W2884116855","https://openalex.org/W2958036537","https://openalex.org/W2965758825","https://openalex.org/W2991033110","https://openalex.org/W3000598214","https://openalex.org/W3155915728","https://openalex.org/W3161697970","https://openalex.org/W4301600869","https://openalex.org/W4309268873","https://openalex.org/W4386883086","https://openalex.org/W4390678382","https://openalex.org/W4404929385","https://openalex.org/W4404965257","https://openalex.org/W4406322557","https://openalex.org/W4406322858","https://openalex.org/W4406431707","https://openalex.org/W4407949090","https://openalex.org/W4408859352","https://openalex.org/W4410986042","https://openalex.org/W4411552473","https://openalex.org/W4412093729","https://openalex.org/W7117449846","https://openalex.org/W7123336042","https://openalex.org/W7124685253","https://openalex.org/W7126111491"],"related_works":["https://openalex.org/W7204215094","https://openalex.org/W2295424826","https://openalex.org/W3099637204","https://openalex.org/W2741768174","https://openalex.org/W2413340351","https://openalex.org/W2315826540","https://openalex.org/W3012448330","https://openalex.org/W3042500460","https://openalex.org/W7091566008","https://openalex.org/W2271070051"],"abstract_inverted_index":{"Tumor":[0],"progression":[1],"is":[2,135],"governed":[3],"by":[4],"mechanisms":[5],"that":[6],"span":[7],"multiple":[8],"biological":[9],"scales,":[10],"from":[11],"population-level":[12],"growth":[13],"to":[14,73],"rare":[15,75],"cell-level":[16],"events":[17,76],"such":[18],"as":[19,47],"mutation,":[20],"phenotypic":[21],"switching,":[22],"dormancy,":[23],"and":[24,39,54,60,77,88,121,126,130,132,156],"reactivation.":[25],"As":[26],"a":[27,116,143,148],"result,":[28],"tumor":[29,58,111,123,154],"modeling":[30,124,155],"has":[31],"developed":[32],"along":[33],"three":[34],"main":[35],"directions:":[36],"deterministic,":[37],"stochastic,":[38],"hybrid":[40,138],"approaches.":[41],"Deterministic":[42],"models,":[43],"most":[44],"commonly":[45],"formulated":[46],"ordinary":[48],"differential":[49],"equations,":[50],"provide":[51],"an":[52],"efficient":[53],"accurate":[55],"description":[56],"of":[57,91,119],"dynamics":[59],"treatment":[61],"response":[62],"at":[63,108],"large":[64],"population":[65],"sizes.":[66],"However,":[67],"they":[68,104],"are":[69,81],"not":[70],"well":[71],"suited":[72],"capturing":[74],"low-cell-number":[78],"behavior,":[79],"which":[80],"often":[82],"critical":[83],"for":[84,151],"understanding":[85],"remission,":[86],"relapse,":[87],"the":[89],"emergence":[90],"resistance.":[92],"In":[93],"contrast,":[94],"stochastic":[95,122],"models":[96,141],"can":[97],"represent":[98],"these":[99],"phenomena":[100],"more":[101],"realistically,":[102],"but":[103],"become":[105],"computationally":[106],"expensive":[107],"clinically":[109,152],"relevant":[110,153],"scales.":[112],"This":[113],"paper":[114],"presents":[115],"comprehensive":[117],"review":[118],"deterministic":[120],"methods":[125],"examines":[127],"their":[128],"advantages":[129],"limitations":[131],"particular":[133],"emphasis":[134],"placed":[136],"on":[137],"strategies.":[139],"Hybrid":[140],"offer":[142],"practical":[144],"balance,":[145],"making":[146],"them":[147],"promising":[149],"framework":[150],"therapy":[157],"design.":[158]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-26T00:00:00"}