{"id":"https://openalex.org/W2135435482","doi":"https://doi.org/10.1214/12-aap876","title":"Dynamics of cancer recurrence","display_name":"Dynamics of cancer recurrence","publication_year":2013,"publication_date":"2013-06-21","ids":{"openalex":"https://openalex.org/W2135435482","doi":"https://doi.org/10.1214/12-aap876","mag":"2135435482"},"language":"en","primary_location":{"id":"doi:10.1214/12-aap876","doi":"https://doi.org/10.1214/12-aap876","is_oa":true,"landing_page_url":"https://doi.org/10.1214/12-aap876","pdf_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-23/issue-4/Dynamics-of-cancer-recurrence/10.1214/12-AAP876.pdf","source":{"id":"https://openalex.org/S9093621","display_name":"The Annals of Applied Probability","issn_l":"1050-5164","issn":["1050-5164","2168-8737"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Applied Probability","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-23/issue-4/Dynamics-of-cancer-recurrence/10.1214/12-AAP876.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035234146","display_name":"Jasmine Foo","orcid":"https://orcid.org/0000-0001-8238-325X","observed_orcids":["https://orcid.org/0000-0001-8238-325X"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I2800403580","display_name":"University of Minnesota System","ror":"https://ror.org/03grvy078","country_code":"US","type":"education","lineage":["https://openalex.org/I2800403580"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jasmine Foo","raw_affiliation_strings":["SCHOOL OF MATHEMATICS UNIVERSITY OF MINNESOTA 206 CHURCH ST SE MINNEAPOLIS , MINNESOTA 55455 USA","University of Minnesota"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SCHOOL OF MATHEMATICS UNIVERSITY OF MINNESOTA 206 CHURCH ST SE MINNEAPOLIS , MINNESOTA 55455 USA","institution_ids":["https://openalex.org/I130238516","https://openalex.org/I2800403580"]},{"raw_affiliation_string":"University of Minnesota","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075829177","display_name":"Kevin Leder","orcid":"https://orcid.org/0000-0001-9192-7829","observed_orcids":["https://orcid.org/0000-0001-9192-7829"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin Leder","raw_affiliation_strings":["DEPARTMENT OF INDUSTRIAL AND SYSTEMS ENGINEERING UNIVERSITY OF MINNESOTA 111 CHURCH ST SE MINNEAPOLIS , MINNESOTA 55455 USA","University of Minnesota"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF INDUSTRIAL AND SYSTEMS ENGINEERING UNIVERSITY OF MINNESOTA 111 CHURCH ST SE MINNEAPOLIS , MINNESOTA 55455 USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"University of Minnesota","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8915,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.83054677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"23","issue":"4","first_page":"1437","last_page":"1468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9663000106811523,"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":0.9663000106811523,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.02459999918937683,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.0035000001080334187,"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-recurrence","display_name":"tumor recurrence","score":0.9900000095367432},{"id":"https://openalex.org/keywords/drug-resistance","display_name":"drug resistance","score":0.9129999876022339},{"id":"https://openalex.org/keywords/escape-mutants","display_name":"escape mutants","score":0.6639999747276306},{"id":"https://openalex.org/keywords/subcritical-branching-processes","display_name":"subcritical branching processes","score":0.9369999766349792},{"id":"https://openalex.org/keywords/mutation-rate","display_name":"mutation rate","score":0.4819999933242798},{"id":"https://openalex.org/keywords/tumor-growth-kinetics","display_name":"tumor growth kinetics","score":0.6759999990463257},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"stochastic approximation","score":0.44699999690055847},{"id":"https://openalex.org/keywords/first-passage-time","display_name":"first passage time","score":0.6169999837875366}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6043999791145325},{"id":"https://openalex.org/C121608353","wikidata":"https://www.wikidata.org/wiki/Q12078","display_name":"Cancer","level":2,"score":0.538100004196167},{"id":"https://openalex.org/C501734568","wikidata":"https://www.wikidata.org/wiki/Q42918","display_name":"Mutation","level":3,"score":0.487199991941452},{"id":"https://openalex.org/C81089528","wikidata":"https://www.wikidata.org/wiki/Q5134986","display_name":"clone (Java method)","level":3,"score":0.4756999909877777},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.44110000133514404},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4092000126838684},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3813000023365021},{"id":"https://openalex.org/C182707283","wikidata":"https://www.wikidata.org/wiki/Q7315622","display_name":"Resistance mutation","level":5,"score":0.35530000925064087},{"id":"https://openalex.org/C98638677","wikidata":"https://www.wikidata.org/wiki/Q2067051","display_name":"Mutation rate","level":3,"score":0.33559998869895935},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.32269999384880066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.320499986410141},{"id":"https://openalex.org/C143065580","wikidata":"https://www.wikidata.org/wiki/Q3285695","display_name":"Mutant","level":3,"score":0.3122999966144562},{"id":"https://openalex.org/C143998085","wikidata":"https://www.wikidata.org/wiki/Q162555","display_name":"Oncology","level":1,"score":0.29750001430511475},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.29030001163482666},{"id":"https://openalex.org/C114851261","wikidata":"https://www.wikidata.org/wiki/Q12147416","display_name":"Drug resistance","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.26919999718666077},{"id":"https://openalex.org/C2994294914","wikidata":"https://www.wikidata.org/wiki/Q1645075","display_name":"Acquired resistance","level":3,"score":0.26809999346733093},{"id":"https://openalex.org/C2910240311","wikidata":"https://www.wikidata.org/wiki/Q5418641","display_name":"Mutation Accumulation","level":4,"score":0.2676999866962433},{"id":"https://openalex.org/C3019816032","wikidata":"https://www.wikidata.org/wiki/Q2575340","display_name":"Cancer treatment","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2515000104904175}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1214/12-aap876","doi":"https://doi.org/10.1214/12-aap876","is_oa":true,"landing_page_url":"https://doi.org/10.1214/12-aap876","pdf_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-23/issue-4/Dynamics-of-cancer-recurrence/10.1214/12-AAP876.pdf","source":{"id":"https://openalex.org/S9093621","display_name":"The Annals of Applied Probability","issn_l":"1050-5164","issn":["1050-5164","2168-8737"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Applied Probability","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1307.5179","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.5179","pdf_url":"https://arxiv.org/pdf/1307.5179","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.709.6633","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.709.6633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.menet.umn.edu/%7Elede0024/Recurrence_JFKL.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.720.1901","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.1901","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-users.math.umn.edu/%7Ejyfoo/PAPERS/FooLeder2012.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.aoap/1371834034","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.aoap/1371834034","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.1307.5179","doi":"https://doi.org/10.48550/arxiv.1307.5179","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1307.5179","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1214/12-aap876","doi":"https://doi.org/10.1214/12-aap876","is_oa":true,"landing_page_url":"https://doi.org/10.1214/12-aap876","pdf_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-23/issue-4/Dynamics-of-cancer-recurrence/10.1214/12-AAP876.pdf","source":{"id":"https://openalex.org/S9093621","display_name":"The Annals of Applied Probability","issn_l":"1050-5164","issn":["1050-5164","2168-8737"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Applied Probability","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.8048999905586243,"id":"https://metadata.un.org/sdg/3"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G2516804138","display_name":"Understanding stochasticity in cancer recurrence timing","funder_award_id":"1224362","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2135435482.pdf","grobid_xml":"https://content.openalex.org/works/W2135435482.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W58756698","https://openalex.org/W850470413","https://openalex.org/W1574711496","https://openalex.org/W1988414899","https://openalex.org/W2015792064","https://openalex.org/W2020299413","https://openalex.org/W2034967857","https://openalex.org/W2046602791","https://openalex.org/W2072384136","https://openalex.org/W2083524028","https://openalex.org/W2090029719","https://openalex.org/W2091805286","https://openalex.org/W2094556422","https://openalex.org/W2099449559","https://openalex.org/W2120170803","https://openalex.org/W2126349180","https://openalex.org/W2132172256","https://openalex.org/W2140544199","https://openalex.org/W2145980885","https://openalex.org/W2166346409","https://openalex.org/W2335014073","https://openalex.org/W2802739963","https://openalex.org/W4299533062"],"related_works":["https://openalex.org/W7098528655","https://openalex.org/W4255411765","https://openalex.org/W4205689563","https://openalex.org/W1988726104","https://openalex.org/W4379251357","https://openalex.org/W4414820586","https://openalex.org/W2140544199","https://openalex.org/W7097253562","https://openalex.org/W3198497173","https://openalex.org/W4406458431"],"abstract_inverted_index":{"Mutation-induced":[0],"drug":[1],"resistance":[2,46],"in":[3,99,123],"cancer":[4,12,23,124],"often":[5],"causes":[6],"the":[7,54,66,81,90,93,100,103,111,130,134,149,154,161],"failure":[8],"of":[9,21,43,56,60,68,71,92],"therapies":[10],"and":[11,40,45,96,110,147],"recurrence,":[13],"despite":[14],"an":[15],"initial":[16,35,82,104],"tumor":[17,36],"reduction.":[18],"The":[19],"timing":[20],"such":[22,33],"recurrence":[24,125],"is":[25],"governed":[26],"by":[27],"a":[28,61,69],"balance":[29],"between":[30],"several":[31],"factors":[32],"as":[34,102],"size,":[37],"mutation":[38,112],"rates":[39],"growth":[41,79],"kinetics":[42],"drug-sensitive":[44],"cells.":[47],"To":[48],"study":[49],"this":[50],"phenomenon":[51],"we":[52],"characterize":[53],"dynamics":[55],"escape":[57,72,94],"from":[58],"extinction":[59],"subcritical":[62],"branching":[63],"process,":[64],"where":[65],"establishment":[67],"clone":[70],"mutants":[73],"can":[74],"lead":[75],"to":[76,108,115,140,159],"total":[77,135],"population":[78,105,136,157],"after":[80],"decline.":[83],"We":[84],"derive":[85],"uniform":[86],"in-time":[87],"approximations":[88],"for":[89],"paths":[91],"process":[95],"its":[97],"components,":[98],"limit":[101],"size":[106,137],"tends":[107,114],"infinity":[109],"rate":[113],"zero.":[116],"In":[117],"addition,":[118],"two":[119],"stochastic":[120],"times":[121],"important":[122],"will":[126],"be":[127],"characterized:":[128],"(i)":[129],"time":[131,151],"at":[132,152],"which":[133,153],"first":[138,150],"begins":[139,158],"rebound":[141],"(i.e.,":[142],"become":[143],"supercritical)":[144],"during":[145],"treatment,":[146],"(ii)":[148],"resistant":[155],"cell":[156],"dominate":[160],"tumor.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}