{"id":"https://openalex.org/W2045706097","doi":"https://doi.org/10.1186/1471-2105-13-s14-s14","title":"Modelling non-homogeneous stochastic reaction-diffusion systems: the case study of gemcitabine-treated non-small cell lung cancer growth","display_name":"Modelling non-homogeneous stochastic reaction-diffusion systems: the case study of gemcitabine-treated non-small cell lung cancer growth","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2045706097","doi":"https://doi.org/10.1186/1471-2105-13-s14-s14","mag":"2045706097","pmid":"https://pubmed.ncbi.nlm.nih.gov/23095709"},"language":"en","primary_location":{"id":"doi:10.1186/1471-2105-13-s14-s14","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1471-2105-13-s14-s14","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-13-S14-S14","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-13-S14-S14","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047664773","display_name":"Paola Lecca","orcid":"https://orcid.org/0000-0002-7224-136X"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]},{"id":"https://openalex.org/I2802934434","display_name":"The Microsoft Research - University of Trento Centre for Computational and Systems Biology","ror":"https://ror.org/04kcgyj43","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I1290206253","https://openalex.org/I193223587","https://openalex.org/I2802934434","https://openalex.org/I4210164937"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paola Lecca","raw_affiliation_strings":["The Microsoft Research - University of Trento Centre for Computational and Systems Biology, Rovereto, Italy. lecca@cosbi.eu","The Microsoft Research\u2013University of Trento Centre for Computational and Systems Biology, Rovereto, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Microsoft Research - University of Trento Centre for Computational and Systems Biology, Rovereto, Italy. lecca@cosbi.eu","institution_ids":["https://openalex.org/I2802934434","https://openalex.org/I193223587"]},{"raw_affiliation_string":"The Microsoft Research\u2013University of Trento Centre for Computational and Systems Biology, Rovereto, Italy","institution_ids":["https://openalex.org/I2802934434","https://openalex.org/I193223587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077332010","display_name":"Daniele Morpurgo","orcid":null},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]},{"id":"https://openalex.org/I2802934434","display_name":"The Microsoft Research - University of Trento Centre for Computational and Systems Biology","ror":"https://ror.org/04kcgyj43","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I1290206253","https://openalex.org/I193223587","https://openalex.org/I2802934434","https://openalex.org/I4210164937"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Daniele Morpurgo","raw_affiliation_strings":["The Microsoft Research\u2013University of Trento Centre for Computational and Systems Biology, Rovereto, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Microsoft Research\u2013University of Trento Centre for Computational and Systems Biology, Rovereto, Italy","institution_ids":["https://openalex.org/I2802934434","https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1690,"currency":"GBP","value_usd":2072},"apc_paid":{"value":1690,"currency":"GBP","value_usd":2072},"fwci":1.0441,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7455596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"S14","first_page":"S14","last_page":"S14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9332000017166138,"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":0.9332000017166138,"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":0.007600000128149986,"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/T11885","display_name":"MRI in cancer diagnosis","score":0.0038999998942017555,"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/diffusion","display_name":"Diffusion","score":0.4852590262889862},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4519311487674713},{"id":"https://openalex.org/keywords/molecular-diffusion","display_name":"Molecular diffusion","score":0.44336435198783875},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.40355628728866577},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.3739836812019348},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.32339805364608765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23004481196403503},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.22648277878761292},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2222769856452942}],"concepts":[{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4852590262889862},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4519311487674713},{"id":"https://openalex.org/C57736034","wikidata":"https://www.wikidata.org/wiki/Q17104113","display_name":"Molecular diffusion","level":3,"score":0.44336435198783875},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.40355628728866577},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3739836812019348},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32339805364608765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23004481196403503},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.22648277878761292},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2222769856452942},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000093542","descriptor_name":"Gemcitabine","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000093542","descriptor_name":"Gemcitabine","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000093542","descriptor_name":"Gemcitabine","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D002289","descriptor_name":"Carcinoma, Non-Small-Cell Lung","qualifier_ui":"Q000188","qualifier_name":"drug therapy","is_major_topic":false},{"descriptor_ui":"D002289","descriptor_name":"Carcinoma, Non-Small-Cell Lung","qualifier_ui":"Q000188","qualifier_name":"drug therapy","is_major_topic":false},{"descriptor_ui":"D002289","descriptor_name":"Carcinoma, Non-Small-Cell Lung","qualifier_ui":"Q000188","qualifier_name":"drug therapy","is_major_topic":false},{"descriptor_ui":"D002289","descriptor_name":"Carcinoma, Non-Small-Cell Lung","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D002289","descriptor_name":"Carcinoma, Non-Small-Cell Lung","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D002289","descriptor_name":"Carcinoma, Non-Small-Cell Lung","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D003841","descriptor_name":"Deoxycytidine","qualifier_ui":"Q000031","qualifier_name":"analogs & derivatives","is_major_topic":false},{"descriptor_ui":"D003841","descriptor_name":"Deoxycytidine","qualifier_ui":"Q000031","qualifier_name":"analogs & derivatives","is_major_topic":false},{"descriptor_ui":"D003841","descriptor_name":"Deoxycytidine","qualifier_ui":"Q000031","qualifier_name":"analogs & derivatives","is_major_topic":false},{"descriptor_ui":"D003841","descriptor_name":"Deoxycytidine","qualifier_ui":"Q000627","qualifier_name":"therapeutic use","is_major_topic":false},{"descriptor_ui":"D003841","descriptor_name":"Deoxycytidine","qualifier_ui":"Q000627","qualifier_name":"therapeutic use","is_major_topic":false},{"descriptor_ui":"D003841","descriptor_name":"Deoxycytidine","qualifier_ui":"Q000627","qualifier_name":"therapeutic use","is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008175","descriptor_name":"Lung Neoplasms","qualifier_ui":"Q000188","qualifier_name":"drug therapy","is_major_topic":false},{"descriptor_ui":"D008175","descriptor_name":"Lung Neoplasms","qualifier_ui":"Q000188","qualifier_name":"drug therapy","is_major_topic":false},{"descriptor_ui":"D008175","descriptor_name":"Lung Neoplasms","qualifier_ui":"Q000188","qualifier_name":"drug therapy","is_major_topic":false},{"descriptor_ui":"D008175","descriptor_name":"Lung Neoplasms","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D008175","descriptor_name":"Lung Neoplasms","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D008175","descriptor_name":"Lung Neoplasms","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D014783","descriptor_name":"Viscosity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014783","descriptor_name":"Viscosity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014783","descriptor_name":"Viscosity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":7,"locations":[{"id":"doi:10.1186/1471-2105-13-s14-s14","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1471-2105-13-s14-s14","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-13-S14-S14","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},{"id":"pmid:23095709","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23095709","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC bioinformatics","raw_type":null},{"id":"pmh:oai:alma.39UBZ_INST:11256544320001241","is_oa":true,"landing_page_url":"https://bmcbioinformatics.biomedcentral.com/articles/10.1186/1471-2105-13-S14-S14","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:e65d7801d0ea4fb2877aa88eccc1ab99","is_oa":false,"landing_page_url":"https://doaj.org/article/e65d7801d0ea4fb2877aa88eccc1ab99","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics, Vol 13, Iss Suppl 14, p S14 (2012)","raw_type":"article"},{"id":"pmh:oai:iris.unitn.it:11572/100853","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/100853","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:3439681","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3439681","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics","raw_type":"Text"},{"id":"pmh:oai:unibz.it:11256544320001241","is_oa":true,"landing_page_url":"https://bia.unibz.it/esploro/outputs/journalArticle/Modelling-non-homogeneous-stochastic-reaction-diffusion-systems-The/991006010850701241","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1186/1471-2105-13-s14-s14","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1471-2105-13-s14-s14","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-13-S14-S14","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.7300000190734863,"display_name":"Life in Land"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320308943","display_name":"Microsoft Research","ror":"https://ror.org/00d0nc645"},{"id":"https://openalex.org/F4320322275","display_name":"Universit\u00e0 degli Studi di Trento","ror":"https://ror.org/05trd4x28"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2045706097.pdf","grobid_xml":"https://content.openalex.org/works/W2045706097.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W12579927","https://openalex.org/W36808574","https://openalex.org/W147660534","https://openalex.org/W157111480","https://openalex.org/W599725579","https://openalex.org/W848165009","https://openalex.org/W1492608162","https://openalex.org/W1572112335","https://openalex.org/W1580294686","https://openalex.org/W1796991209","https://openalex.org/W1914839904","https://openalex.org/W1964918473","https://openalex.org/W1968765383","https://openalex.org/W1970629182","https://openalex.org/W1977594523","https://openalex.org/W1980242505","https://openalex.org/W2001642022","https://openalex.org/W2002379387","https://openalex.org/W2008760099","https://openalex.org/W2015503561","https://openalex.org/W2035663157","https://openalex.org/W2037567664","https://openalex.org/W2038467979","https://openalex.org/W2038480876","https://openalex.org/W2041208813","https://openalex.org/W2044572730","https://openalex.org/W2047089074","https://openalex.org/W2052293937","https://openalex.org/W2061911199","https://openalex.org/W2062464476","https://openalex.org/W2069963392","https://openalex.org/W2111663010","https://openalex.org/W2120038224","https://openalex.org/W2121342927","https://openalex.org/W2127049578","https://openalex.org/W2130257210","https://openalex.org/W2143444429","https://openalex.org/W2147212734","https://openalex.org/W2151306240","https://openalex.org/W2154028705","https://openalex.org/W2154090392","https://openalex.org/W2155418451","https://openalex.org/W2163519995","https://openalex.org/W2165610311","https://openalex.org/W2171539493","https://openalex.org/W2287698429","https://openalex.org/W2337818826","https://openalex.org/W2493503764","https://openalex.org/W2569775949","https://openalex.org/W2896631983","https://openalex.org/W3001022943","https://openalex.org/W4239648859","https://openalex.org/W4239940620","https://openalex.org/W4245923276"],"related_works":["https://openalex.org/W2117977789","https://openalex.org/W1519856935","https://openalex.org/W4225152453","https://openalex.org/W2356284906","https://openalex.org/W2007833187","https://openalex.org/W2067630723","https://openalex.org/W2091515974","https://openalex.org/W1526183461","https://openalex.org/W2150026399","https://openalex.org/W2807284136"],"abstract_inverted_index":{"BACKGROUND:":[0],"Reaction-diffusion":[1],"based":[2,281],"models":[3,22,35,151],"have":[4,108,412],"been":[5,109,413],"widely":[6],"used":[7],"in":[8,48,111,165,186,247,297,337,363,392,427,459,475,489,495,522],"the":[9,13,20,43,52,57,66,69,80,85,88,93,100,112,119,142,147,158,170,175,191,202,205,248,252,275,286,311,315,319,324,327,330,352,355,376,383,410,439,443,451,455,469,478,487,531],"literature":[10,417],"for":[11,41,55,68,258,350],"modeling":[12,351],"growth":[14,246,385,456],"of":[15,19,26,33,45,59,82,84,87,99,105,133,146,174,190,194,204,217,223,241,251,269,285,314,321,326,347,354,379,386,403,409,442,445,472,486,518,534],"solid":[16],"tumors.":[17],"Many":[18],"current":[21,148],"treat":[23],"both":[24],"diffusion/consumption":[25],"nutrients":[27,195,270,360],"and":[28,51,72,125,154,172,177,196,271,329,361,370,399,405,418,514,516],"cell":[29,70,225,243,432,512],"proliferation.":[30],"The":[31,215,300,407,435,483],"majority":[32],"these":[34,106,128,140,209,446],"use":[36],"classical":[37],"transport/mass":[38],"conservation":[39],"equations":[40,67,78,107],"describing":[42,56,79],"distribution":[44],"molecular":[46,192,322],"species":[47,193,210],"tumor":[49,120,134,150,206,276,358,390,423,473],"spheroids,":[50],"Fick's":[53,287],"law":[54,290,336],"flux":[58],"uncharged":[60],"molecules":[61],"(i.e":[62],"oxygen,":[63],"glucose).":[64],"Commonly,":[65],"movement":[71],"proliferation":[73],"are":[74,152],"first":[75,288],"order":[76,523],"differential":[77],"rate":[81],"change":[83],"velocity":[86],"cells":[89,207],"with":[90,139,208,229,397,481],"respect":[91],"to":[92,115,220,293,394,467,477,499,524,529],"spatial":[94,267,365,384],"coordinates":[95],"as":[96,135,141,160,199,201,306,318,448,450,506],"a":[97,131,136,161,166,182,212,237,266,283,307,338,364,368,387,395,400],"function":[98,308],"nutrient's":[101],"gradient.":[102,373],"Several":[103],"modifications":[104],"developed":[110,257],"last":[113],"decade":[114],"explicitly":[116,304],"indicate":[117],"that":[118,291],"includes":[121],"cells,":[122],"interstitial":[123],"fluids":[124],"extracellular":[126,508],"matrix:":[127],"variants":[129],"provided":[130],"model":[132,157,185,240,279,294,380,391,411,464,488],"multiphase":[137],"material":[138],"different":[143],"phases.":[144],"Most":[145],"reaction-diffusion":[149,184,239,260],"deterministic":[153],"do":[155],"not":[156],"diffusion":[159,289,301],"local":[162,312,507],"state-dependent":[163],"process":[164],"non-homogeneous":[167,298],"medium":[168,328],"at":[169],"micro-":[171],"meso-scale":[173],"intra-":[176],"inter-cellular":[178],"processes,":[179,504],"respectively.":[180],"Furthermore,":[181],"stochastic":[183,238,340],"which":[187],"diffusive":[188,295],"transport":[189,296],"chemotherapy":[197],"drugs":[198,273],"well":[200,449],"interactions":[203,356],"is":[211,231,280,303,465],"novel":[213],"approach.":[214],"application":[216],"this":[218,334],"approach":[219],"he":[221],"scase":[222],"non-small":[224,242,431],"lung":[226,244,433],"cancer":[227,245],"treated":[228],"gemcitabine":[230,362,398],"also":[232,263,419],"novel.":[233],"METHODS:":[234],"We":[235,262,332],"present":[236],"specification":[249,485],"formalism":[250],"tool":[253],"Redi,":[254],"we":[255,381],"recently":[256],"simulating":[259],"systems.":[261],"describe":[264],"how":[265],"gradient":[268,402],"oncological":[272],"affects":[274],"progression.":[277],"Our":[278],"on":[282,310],"generalization":[284],"allows":[292],"media.":[299],"coefficient":[302],"expressed":[305],"depending":[309],"conditions":[313],"medium,":[316],"such":[317,505],"concentration":[320,372],"species,":[323],"viscosity":[325],"temperature.":[331],"incorporated":[333],"generalized":[335],"reaction-based":[339],"simulation":[341],"framework":[342,378],"implementing":[343],"an":[344,496],"efficient":[345],"version":[346],"Gillespie":[348],"algorithm":[349],"dynamics":[353],"between":[357],"cell,":[359],"domain":[366],"expressing":[367],"nutrient":[369],"drug":[371],"RESULTS:":[374],"Using":[375],"mathematical":[377],"simulated":[382],"2D":[388],"spheroidal":[389],"response":[393,476],"treatment":[396,480],"dynamic":[401],"oxygen":[404],"glucose.":[406],"parameters":[408],"taken":[414],"from":[415,421,430],"recet":[416],"inferred":[420],"real":[422],"shrinkage":[424],"curves":[425,457],"measured":[426],"patients":[428],"suffering":[429],"cancer.":[434,535],"simulations":[436],"qualitatively":[437],"reproduce":[438,468],"time":[440],"evolution":[441],"morphologies":[444],"tumors":[447],"morphological":[452],"patterns":[453],"follow":[454],"observed":[458,470],"patients.":[460],"CONCLUSIONS:":[461],"s":[462],"This":[463],"able":[466],"increment/decrement":[471],"size":[474],"pharmacological":[479],"gemcitabine.":[482],"formal":[484],"Redi":[490],"can":[491],"be":[492,525],"easily":[493],"extended":[494],"incremental":[497],"way":[498],"include":[500],"other":[501],"relevant":[502,528],"biophysical":[503],"matrix":[509],"remodelling,":[510],"active":[511],"migration":[513],"traction,":[515],"reshaping":[517],"host":[519],"tissue":[520],"vasculature,":[521],"even":[526],"more":[527],"support":[530],"experimental":[532],"investigation":[533]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
