{"id":"https://openalex.org/W2344249767","doi":"https://doi.org/10.1371/journal.pcbi.1004712","title":"Spatial Metrics of Tumour Vascular Organisation Predict Radiation Efficacy in a Computational Model","display_name":"Spatial Metrics of Tumour Vascular Organisation Predict Radiation Efficacy in a Computational Model","publication_year":2016,"publication_date":"2016-01-22","ids":{"openalex":"https://openalex.org/W2344249767","doi":"https://doi.org/10.1371/journal.pcbi.1004712","mag":"2344249767","pmid":"https://pubmed.ncbi.nlm.nih.gov/26800503"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1004712","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1004712","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004712&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004712&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024863178","display_name":"Jacob G. Scott","orcid":"https://orcid.org/0000-0003-2971-7673"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I3019308854","display_name":"Moffitt Cancer Center","ror":"https://ror.org/01xf75524","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I3019308854"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Jacob G. Scott","raw_affiliation_strings":["Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America","Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America","institution_ids":["https://openalex.org/I3019308854"]},{"raw_affiliation_string":"Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026910783","display_name":"Alexander G. Fletcher","orcid":"https://orcid.org/0000-0003-0525-4336"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alexander G. Fletcher","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sheffield, Sheffield, United Kingdom","Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sheffield, Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069501174","display_name":"Alexander R.A. Anderson","orcid":"https://orcid.org/0000-0002-2536-4383"},"institutions":[{"id":"https://openalex.org/I3019308854","display_name":"Moffitt Cancer Center","ror":"https://ror.org/01xf75524","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I3019308854"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander R. A. Anderson","raw_affiliation_strings":["Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America","institution_ids":["https://openalex.org/I3019308854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025791169","display_name":"Philip K. Maini","orcid":"https://orcid.org/0000-0002-0146-9164"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Philip K. Maini","raw_affiliation_strings":["Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024863178"],"corresponding_institution_ids":["https://openalex.org/I3019308854","https://openalex.org/I40120149"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":5.8317,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.96095252,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"12","issue":"1","first_page":"e1004712","last_page":"e1004712"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9997000098228455,"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":0.9997000098228455,"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/T12422","display_name":"Radiomics and Machine Learning in Medical Imaging","score":0.9815999865531921,"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"}},{"id":"https://openalex.org/T11885","display_name":"MRI in cancer diagnosis","score":0.9664000272750854,"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/computer-science","display_name":"Computer science","score":0.5079951882362366}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5079951882362366}],"mesh":[{"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":"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":"D009361","descriptor_name":"Neoplasm Invasiveness","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009361","descriptor_name":"Neoplasm Invasiveness","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009361","descriptor_name":"Neoplasm Invasiveness","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000098","qualifier_name":"blood supply","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000098","qualifier_name":"blood supply","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000098","qualifier_name":"blood supply","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D009389","descriptor_name":"Neovascularization, Pathologic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009389","descriptor_name":"Neovascularization, Pathologic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009389","descriptor_name":"Neovascularization, Pathologic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017209","descriptor_name":"Apoptosis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017209","descriptor_name":"Apoptosis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017209","descriptor_name":"Apoptosis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1371/journal.pcbi.1004712","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1004712","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004712&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:26800503","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26800503","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":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:eprints.whiterose.ac.uk:94909","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:5076b210985a4f40822e6c0ea5639281","is_oa":true,"landing_page_url":"https://doaj.org/article/5076b210985a4f40822e6c0ea5639281","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 12, Iss 1, p e1004712 (2016)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/1640746","is_oa":true,"landing_page_url":"https://figshare.com/articles/dataset/_Spatial_Metrics_of_Tumour_Vascular_Organisation_Predict_Radiation_Efficacy_in_a_Computational_Model_/1640746","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Dataset"},{"id":"pmh:oai:pubmedcentral.nih.gov:4723304","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4723304","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":"PLoS Comput Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1004712","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1004712","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004712&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G3024511915","display_name":"A new approach to Science at the Life Sciences Interface","funder_award_id":"EP/I017909/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4335451209","display_name":null,"funder_award_id":"U54 CA143970","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G4430090098","display_name":null,"funder_award_id":"CA151924","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G5669057042","display_name":null,"funder_award_id":"U01 CA151924","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G6428962470","display_name":null,"funder_award_id":"EP/I017909/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7561398520","display_name":null,"funder_award_id":"U54 CA143970","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2344249767.pdf","grobid_xml":"https://content.openalex.org/works/W2344249767.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W1494870272","https://openalex.org/W1495397087","https://openalex.org/W1581170315","https://openalex.org/W1603230122","https://openalex.org/W1914839904","https://openalex.org/W1974158461","https://openalex.org/W1975519085","https://openalex.org/W1987012261","https://openalex.org/W1996810856","https://openalex.org/W2000645646","https://openalex.org/W2003670869","https://openalex.org/W2004900984","https://openalex.org/W2006202974","https://openalex.org/W2012539317","https://openalex.org/W2015594324","https://openalex.org/W2016127716","https://openalex.org/W2021505095","https://openalex.org/W2022414551","https://openalex.org/W2025521327","https://openalex.org/W2027921618","https://openalex.org/W2032101051","https://openalex.org/W2032725433","https://openalex.org/W2034977978","https://openalex.org/W2035252444","https://openalex.org/W2036936708","https://openalex.org/W2042726154","https://openalex.org/W2044784870","https://openalex.org/W2045484383","https://openalex.org/W2048195900","https://openalex.org/W2048469413","https://openalex.org/W2051682623","https://openalex.org/W2061434030","https://openalex.org/W2062712893","https://openalex.org/W2063198059","https://openalex.org/W2066573855","https://openalex.org/W2069267337","https://openalex.org/W2076500925","https://openalex.org/W2082545088","https://openalex.org/W2083336230","https://openalex.org/W2084336885","https://openalex.org/W2085170033","https://openalex.org/W2085782725","https://openalex.org/W2086356330","https://openalex.org/W2088561350","https://openalex.org/W2092868937","https://openalex.org/W2094433138","https://openalex.org/W2099020540","https://openalex.org/W2104644297","https://openalex.org/W2109393326","https://openalex.org/W2115893230","https://openalex.org/W2117692326","https://openalex.org/W2118604693","https://openalex.org/W2119308535","https://openalex.org/W2119906258","https://openalex.org/W2122947245","https://openalex.org/W2130175726","https://openalex.org/W2130503287","https://openalex.org/W2134648876","https://openalex.org/W2139899744","https://openalex.org/W2142826053","https://openalex.org/W2144787357","https://openalex.org/W2148116965","https://openalex.org/W2149884878","https://openalex.org/W2150575159","https://openalex.org/W2154169182","https://openalex.org/W2158303916","https://openalex.org/W2166406736","https://openalex.org/W2167116477","https://openalex.org/W2171613038","https://openalex.org/W2626425857","https://openalex.org/W3126096896","https://openalex.org/W4233078437","https://openalex.org/W6640060413","https://openalex.org/W6793710621","https://openalex.org/W7005515419"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Intratumoural":[0],"heterogeneity":[1,148],"is":[2,48],"known":[3],"to":[4,6,60,79,143,160,197],"contribute":[5],"poor":[7],"therapeutic":[8],"response.":[9,83],"Variations":[10],"in":[11,14,21,24,39,55,202],"oxygen":[12,56,115,124],"tension":[13],"particular":[15],"have":[16],"been":[17,45],"correlated":[18],"with":[19,31],"changes":[20,188],"radiation":[22,82,107,129,186,203],"response":[23],"vitro":[25],"and":[26,47,138,149,185],"at":[27,35],"the":[28,36,52,67,96,110,114,145,176,180,199,217],"clinical":[29],"scale":[30,38,64],"overall":[32],"survival.":[33],"Heterogeneity":[34],"microscopic":[37],"tumour":[40,75,92],"blood":[41,71],"vessel":[42,99,136,146,174,209,218],"architecture":[43],"has":[44],"described,":[46],"one":[49],"source":[50],"of":[51,66,70,91,98,105,134,173,182],"underlying":[53],"variations":[54],"tension.":[57],"We":[58,140,167],"seek":[59],"determine":[61],"whether":[62],"histologic":[63],"measures":[65],"erratic":[68],"distribution":[69,100,147],"vessels":[72],"within":[73],"a":[74,85,132,157,194],"can":[76],"be":[77],"used":[78],"predict":[80],"differing":[81,123,171],"Using":[84,109],"two-dimensional":[86],"hybrid":[87],"cellular":[88],"automaton":[89],"model":[90],"growth,":[93],"we":[94,126],"evaluate":[95],"effect":[97,130,187,204],"on":[101,142,208],"cell":[102,119],"survival":[103,120],"outcomes":[104],"simulated":[106],"therapy.":[108],"standard":[111],"equations":[112],"for":[113,118,205,216],"enhancement":[116],"ratio":[117],"probability":[121],"under":[122,170],"tensions,":[125],"calculate":[127],"average":[128],"over":[131],"range":[133],"different":[135],"densities":[137],"organisations.":[139],"go":[141],"quantify":[144],"measure":[150,158,181],"spatial":[151,165,183],"organization":[152,184],"using":[153],"Ripley's":[154],"L":[155],"function,":[156],"designed":[159],"detect":[161],"deviations":[162],"from":[163],"complete":[164],"randomness.":[166],"find":[168],"that":[169],"regimes":[172],"density":[175],"correlation":[177],"coefficient":[178],"between":[179],"sign.":[189],"This":[190],"provides":[191],"not":[192],"only":[193],"useful":[195],"way":[196],"understand":[198],"differences":[200],"seen":[201],"tissues":[206],"based":[207],"architecture,":[210],"but":[211],"also":[212],"an":[213],"alternate":[214],"explanation":[215],"normalization":[219],"hypothesis.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}