{"id":"https://openalex.org/W2097170440","doi":"https://doi.org/10.1137/140967660","title":"Homogenization Model for Aberrant Crypt Foci","display_name":"Homogenization Model for Aberrant Crypt Foci","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2097170440","doi":"https://doi.org/10.1137/140967660","mag":"2097170440"},"language":"en","primary_location":{"id":"doi:10.1137/140967660","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967660","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1405.1386","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013058058","display_name":"Isabel N. Figueiredo","orcid":"https://orcid.org/0000-0002-0215-8851"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Isabel N. Figueiredo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017980670","display_name":"Carlos Leal","orcid":"https://orcid.org/0000-0001-8483-9054"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carlos Leal","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062250678","display_name":"Giuseppe Romanazzi","orcid":"https://orcid.org/0000-0002-4486-7840"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giuseppe Romanazzi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5109921511","display_name":"Bj\u00f6rn Engquist","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bjorn Engquist","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013058058"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00721556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"76","issue":"3","first_page":"1152","last_page":"1177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983999729156494,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983999729156494,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.991100013256073,"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":0.9797999858856201,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.8313807249069214},{"id":"https://openalex.org/keywords/crypt","display_name":"Crypt","score":0.6948256492614746},{"id":"https://openalex.org/keywords/aberrant-crypt-foci","display_name":"Aberrant crypt foci","score":0.6402924060821533},{"id":"https://openalex.org/keywords/epithelium","display_name":"Epithelium","score":0.565466046333313},{"id":"https://openalex.org/keywords/colorectal-cancer","display_name":"Colorectal cancer","score":0.4947957396507263},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.4694010317325592},{"id":"https://openalex.org/keywords/in-silico","display_name":"In silico","score":0.4449717402458191},{"id":"https://openalex.org/keywords/colonoscopy","display_name":"Colonoscopy","score":0.4252287745475769},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3931454122066498},{"id":"https://openalex.org/keywords/pathology","display_name":"Pathology","score":0.3912283182144165},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36348533630371094},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.17515239119529724},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.14661183953285217},{"id":"https://openalex.org/keywords/cancer","display_name":"Cancer","score":0.1384301483631134},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.11221450567245483}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8313807249069214},{"id":"https://openalex.org/C66090201","wikidata":"https://www.wikidata.org/wiki/Q15995009","display_name":"Crypt","level":2,"score":0.6948256492614746},{"id":"https://openalex.org/C2780669762","wikidata":"https://www.wikidata.org/wiki/Q4667164","display_name":"Aberrant crypt foci","level":5,"score":0.6402924060821533},{"id":"https://openalex.org/C529295009","wikidata":"https://www.wikidata.org/wiki/Q41301","display_name":"Epithelium","level":2,"score":0.565466046333313},{"id":"https://openalex.org/C526805850","wikidata":"https://www.wikidata.org/wiki/Q188874","display_name":"Colorectal cancer","level":3,"score":0.4947957396507263},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.4694010317325592},{"id":"https://openalex.org/C2775905019","wikidata":"https://www.wikidata.org/wiki/Q192572","display_name":"In silico","level":3,"score":0.4449717402458191},{"id":"https://openalex.org/C2778435480","wikidata":"https://www.wikidata.org/wiki/Q840387","display_name":"Colonoscopy","level":4,"score":0.4252287745475769},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3931454122066498},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.3912283182144165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36348533630371094},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.17515239119529724},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.14661183953285217},{"id":"https://openalex.org/C121608353","wikidata":"https://www.wikidata.org/wiki/Q12078","display_name":"Cancer","level":2,"score":0.1384301483631134},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.11221450567245483},{"id":"https://openalex.org/C134018914","wikidata":"https://www.wikidata.org/wiki/Q162606","display_name":"Endocrinology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C3018440083","wikidata":"https://www.wikidata.org/wiki/Q11083","display_name":"Colonic disease","level":4,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/140967660","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967660","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1405.1386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.1386","pdf_url":"https://arxiv.org/pdf/1405.1386","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2097170440","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1405.1386","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.748.2098","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.748.2098","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1405.1386.pdf","raw_type":"text"},{"id":"pmh:oai:estudogeral.sib.uc.pt:10316/47092","is_oa":false,"landing_page_url":"http://hdl.handle.net/10316/47092","pdf_url":null,"source":{"id":"https://openalex.org/S4306401208","display_name":"Estudo Geral (Universidade de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802025818","host_organization_name":"Hospitais da Universidade de Coimbra","host_organization_lineage":["https://openalex.org/I2802025818"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"doi:10.48550/arxiv.1405.1386","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1405.1386","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1405.1386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.1386","pdf_url":"https://arxiv.org/pdf/1405.1386","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G4064014049","display_name":null,"funder_award_id":"UID/MAT/00324/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G4475386439","display_name":null,"funder_award_id":"PTDC/MATNAN/0593/2012","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1258171083","https://openalex.org/W1502429591","https://openalex.org/W1511282469","https://openalex.org/W1547249381","https://openalex.org/W1550364336","https://openalex.org/W1589470892","https://openalex.org/W1677573439","https://openalex.org/W1846418786","https://openalex.org/W1964420609","https://openalex.org/W1964562290","https://openalex.org/W1964998513","https://openalex.org/W1967419364","https://openalex.org/W1968407767","https://openalex.org/W1974467110","https://openalex.org/W1976806845","https://openalex.org/W1979141490","https://openalex.org/W1981967600","https://openalex.org/W1995066125","https://openalex.org/W1997574957","https://openalex.org/W2005132036","https://openalex.org/W2005873003","https://openalex.org/W2010351731","https://openalex.org/W2010820566","https://openalex.org/W2029857102","https://openalex.org/W2036831253","https://openalex.org/W2037948455","https://openalex.org/W2043062614","https://openalex.org/W2076868976","https://openalex.org/W2082752943","https://openalex.org/W2085763173","https://openalex.org/W2088003984","https://openalex.org/W2090683259","https://openalex.org/W2094330306","https://openalex.org/W2097090938","https://openalex.org/W2102558232","https://openalex.org/W2110769108","https://openalex.org/W2111564493","https://openalex.org/W2113912173","https://openalex.org/W2117201129","https://openalex.org/W2120629640","https://openalex.org/W2121467746","https://openalex.org/W2122260417","https://openalex.org/W2123823124","https://openalex.org/W2125887644","https://openalex.org/W2129391320","https://openalex.org/W2139915618","https://openalex.org/W2147212734","https://openalex.org/W2149022033","https://openalex.org/W2150520316","https://openalex.org/W2152660706","https://openalex.org/W2158615962","https://openalex.org/W2160276368","https://openalex.org/W2164712741","https://openalex.org/W2165485564","https://openalex.org/W2184777517","https://openalex.org/W2278264568","https://openalex.org/W2315437103","https://openalex.org/W2320515084","https://openalex.org/W2321773250","https://openalex.org/W2492198317","https://openalex.org/W3140704742","https://openalex.org/W3142195637","https://openalex.org/W4239619779"],"related_works":["https://openalex.org/W2962989464","https://openalex.org/W2319322316","https://openalex.org/W2010351731","https://openalex.org/W1964420609","https://openalex.org/W2595965742","https://openalex.org/W2257381507","https://openalex.org/W64059486"],"abstract_inverted_index":{"Several":[0],"explanations":[1],"can":[2,139],"be":[3,140],"found":[4],"in":[5,60,74,118,129,142,174],"the":[6,9,20,23,53,61,70,79,99,103,115,119,131,148,171,195,201,208,213,226,229,233],"literature":[7],"about":[8],"origin":[10],"of":[11,29,33,43,52,69,81,89,98,135,158,198,210,212,228],"colorectal":[12],"cancer.":[13],"There":[14],"is,":[15],"however,":[16],"some":[17],"agreement":[18],"on":[19],"fact":[21],"that":[22,64,101,147,169],"carcinogenic":[24,71],"process":[25],"is":[26,39,58,78,111,124,150],"a":[27,65,108,151,155,166,175,189,219],"result":[28],"several":[30],"genetic":[31],"mutations":[32],"normal":[34],"cells.":[35],"The":[36,122],"colon":[37,120,149],"epithelium":[38],"characterized":[40,93],"by":[41,94,164],"millions":[42],"invaginations,":[44],"very":[45],"small":[46],"cavities,":[47],"called":[48],"crypts,":[49,91,159],"where":[50],"most":[51],"cellular":[54,116],"activity":[55],"occurs.":[56],"It":[57],"agreed":[59],"medical":[62],"community":[63],"potential":[66],"first":[67],"manifestation":[68],"process,":[72],"observed":[73,141],"conventional":[75],"colonoscopy":[76,143],"images,":[77],"appearance":[80],"aberrant":[82],"crypt":[83],"foci":[84],"(ACF).":[85],"These":[86],"are":[87,181,216,236],"clusters":[88],"abnormal":[90],"morphologically":[92],"an":[95],"atypical":[96],"behavior":[97,197],"cells":[100],"populate":[102],"crypts.":[104],"In":[105],"this":[106,162,184],"work":[107,163],"homogenization":[109,179],"model":[110,168,186,215,231,235],"proposed":[112],"for":[113],"representing":[114],"dynamics":[117],"epithelium.":[121],"goal":[123],"to":[125,183,187,232],"simulate":[126],"and":[127,133],"predict,":[128],"silico,":[130],"spread":[132],"evolution":[134],"ACF,":[136],"as":[137],"it":[138],"images.":[144],"By":[145],"assuming":[146],"heterogeneous":[152],"medium,":[153],"exhibiting":[154],"periodic":[156,167,185,230],"distribution":[157],"we":[160],"start":[161],"describing":[165],"represents":[170],"ACF":[172,199],"cell-dynamics":[173],"two-dimensional":[176],"setting.":[177],"Then,":[178],"techniques":[180],"applied":[182],"find":[188],"simpler":[190],"model,":[191],"whose":[192],"solution":[193,211],"symbolizes":[194],"averaged":[196],"at":[200],"tissue":[202],"level.":[203],"Some":[204],"theoretical":[205],"results":[206,224],"concerning":[207],"existence":[209],"homogenized":[214,234],"proved,":[217],"applying":[218],"fixed":[220],"point":[221],"theorem.":[222],"Numerical":[223],"showing":[225],"convergence":[227],"presented.":[237]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
