{"id":"https://openalex.org/W2540105961","doi":"https://doi.org/10.1109/iarwisoci.2014.7034634","title":"Modeling glioblastoma growth and inhomogeneous tumor invasion with explicitly numerically treated neumann boundary conditions","display_name":"Modeling glioblastoma growth and inhomogeneous tumor invasion with explicitly numerically treated neumann boundary conditions","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W2540105961","doi":"https://doi.org/10.1109/iarwisoci.2014.7034634","mag":"2540105961"},"language":"en","primary_location":{"id":"doi:10.1109/iarwisoci.2014.7034634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iarwisoci.2014.7034634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2014 6th International Advanced Research Workshop on In Silico Oncology and Cancer Investigation - The CHIC Project Workshop (IARWISOCI)","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/A5071282576","display_name":"S. Giatili","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Stavroula G. Giatili","raw_affiliation_strings":["In Silica Oncology and In Silica Medicine Group, National Technical University of Athens"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"In Silica Oncology and In Silica Medicine Group, National Technical University of Athens","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058750242","display_name":"Georgios Stamatakos","orcid":"https://orcid.org/0000-0003-2054-477X"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Georgios S. Stamatakos","raw_affiliation_strings":["In Silica Oncology and In Silica Medicine Group, National Technical University of Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"In Silica Oncology and In Silica Medicine Group, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.23792849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9879999756813049,"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/T11885","display_name":"MRI in cancer diagnosis","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"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/boundary-value-problem","display_name":"Boundary value problem","score":0.4969983398914337},{"id":"https://openalex.org/keywords/glioblastoma","display_name":"Glioblastoma","score":0.49288463592529297},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.43459558486938477},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4312335252761841},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41372743248939514},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39502114057540894},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3311835527420044},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2890235185623169},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.12077006697654724}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4969983398914337},{"id":"https://openalex.org/C2776194525","wikidata":"https://www.wikidata.org/wiki/Q282142","display_name":"Glioblastoma","level":2,"score":0.49288463592529297},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.43459558486938477},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4312335252761841},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41372743248939514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39502114057540894},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3311835527420044},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2890235185623169},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.12077006697654724},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C502942594","wikidata":"https://www.wikidata.org/wiki/Q3421914","display_name":"Cancer research","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iarwisoci.2014.7034634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iarwisoci.2014.7034634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2014 6th International Advanced Research Workshop on In Silico Oncology and Cancer Investigation - The CHIC Project Workshop (IARWISOCI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320312573","display_name":"Oregon Chapter of the American Fisheries Society","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W644048992","https://openalex.org/W2009494530","https://openalex.org/W2045224406","https://openalex.org/W2058901707","https://openalex.org/W2061575214","https://openalex.org/W2162498477","https://openalex.org/W2170613553","https://openalex.org/W2550208048","https://openalex.org/W6729847327"],"related_works":["https://openalex.org/W1602805286","https://openalex.org/W4225917631","https://openalex.org/W2088686453","https://openalex.org/W4200635075","https://openalex.org/W4400475616","https://openalex.org/W2954466210","https://openalex.org/W2149738946","https://openalex.org/W2326681941","https://openalex.org/W4361251389","https://openalex.org/W10455127"],"abstract_inverted_index":{"A":[0,48],"couple":[1],"of":[2,7,41,56,81,93,108,128,142,161,190,205,236,246,269,281,292,308],"multiscale":[3],"spatiotemporal":[4],"simulation":[5,170],"models":[6,23,115,144],"glioblastoma":[8],"multiforme":[9],"(GBM)":[10],"growth":[11],"and":[12,29,52,103,145,230,263,285,289,299,305],"invasion":[13],"into":[14],"the":[15,36,57,66,86,109,126,129,140,151,173,179,195,203,206,210,247,267,279,282,286,293,303,309],"surrounding":[16],"normal":[17,82,94,153,181],"brain":[18,83,95,154,182,227],"tissue":[19,84,155],"is":[20,68,157,272,276,315],"presented.":[21],"Both":[22],"are":[24,116,134,295],"based":[25,183,228],"on":[26,312],"a":[27,78,158,225,231,240],"continuous":[28],"subsequently":[30],"finite":[31],"mathematical":[32],"approach":[33],"centered":[34],"around":[35],"non-linear":[37],"partial":[38],"differential":[39],"equation":[40],"diffusion-reaction":[42],"referring":[43],"to":[44,138,187,192,202,213,297],"glioma":[45],"tumour":[46,110,249],"cells.":[47],"novel":[49],"explicit,":[50],"strict":[51],"thorough":[53],"numerical":[54],"treatment":[55],"three":[58],"dimensional":[59],"adiabatic":[60],"Neumann":[61],"boundary":[62],"conditions":[63],"imposed":[64],"by":[65,113,223,301],"skull":[67],"also":[69],"included":[70],"in":[71,136,200,256,273,316],"both":[72,114,143],"models.":[73],"The":[74,106,169],"first":[75,196],"model":[76,184,229,294],"assumes":[77],"homogeneous":[79,167,180,226],"representation":[80,92,156],"whereas":[85],"second":[87],"one,":[88],"assuming":[89],"an":[90,188],"inhomogeneous":[91,152,207],"tissue,":[96],"distinguishes":[97],"between":[98],"white":[99],"matter,":[100],"grey":[101],"matter":[102],"cerebrospinal":[104],"fluid.":[105],"predictions":[107,204],"doubling":[111,131,250],"time":[112,132,251],"compared":[117],"for":[118,172,194],"specific":[119],"data":[120,124],"sets.":[121],"Clinical":[122],"observational":[123],"regarding":[125],"range":[127],"GBM":[130],"values":[133,280],"utilized":[135],"order":[137],"ensure":[139],"realism":[141],"their":[146],"predictions.":[147],"We":[148],"assume":[149],"that":[150,177,221,278],"virtual":[159],"rendering":[160],"reality":[162],"more":[163],"credible":[164],"than":[165,215],"its":[166,237],"counterpart.":[168],"results":[171],"cases":[174],"considered":[175],"show":[176],"using":[178,224],"may":[185],"lead":[186],"error":[189,211],"up":[191],"10%":[193],"25":[197],"simulated":[198],"days":[199],"relation":[201],"model.":[208],"However,":[209],"drops":[212],"less":[214],"7%":[216],"afterwards.":[217],"This":[218],"observation":[219],"suggests":[220],"even":[222],"realistic":[232],"weighted":[233],"average":[234],"value":[235],"diffusion":[238,283],"coefficient,":[239],"rough":[241],"but":[242],"still":[243],"informative":[244],"estimate":[245],"expected":[248],"can":[252],"be":[253],"achieved.":[254],"Additional":[255],"silico":[257],"experimentation":[258],"aiming":[259],"at":[260],"statistically":[261],"testing":[262],"eventually":[264],"further":[265],"supporting":[266],"validity":[268],"this":[270,313],"hypothesis":[271],"progress.":[274,317],"It":[275],"noted":[277],"coefficients":[284],"cell":[287],"birth":[288],"death":[290],"rates":[291],"amenable":[296],"refinement":[298],"personalization":[300],"exploiting":[302],"histological":[304],"molecular":[306],"profile":[307],"patient.":[310],"Work":[311],"aspect":[314]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}