{"id":"https://openalex.org/W2951699248","doi":"https://doi.org/10.1080/23737867.2016.1221328","title":"Why Do Mutant Allele Frequencies in Oncogenes Peak Around .40 and Rapidly Decrease?","display_name":"Why Do Mutant Allele Frequencies in Oncogenes Peak Around .40 and Rapidly Decrease?","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2951699248","doi":"https://doi.org/10.1080/23737867.2016.1221328","mag":"2951699248"},"language":"en","primary_location":{"id":"doi:10.1080/23737867.2016.1221328","doi":"https://doi.org/10.1080/23737867.2016.1221328","is_oa":true,"landing_page_url":"https://doi.org/10.1080/23737867.2016.1221328","pdf_url":null,"source":{"id":"https://openalex.org/S4210225657","display_name":"Letters in Biomathematics","issn_l":"2373-7867","issn":["2373-7867"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Letters in Biomathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/23737867.2016.1221328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078129711","display_name":"Kasthuri S. Kannan","orcid":"https://orcid.org/0000-0002-8479-0657","observed_orcids":["https://orcid.org/0000-0002-8479-0657"]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kasthuri Kannan","raw_affiliation_strings":["School of Medicine, New York University, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Medicine, New York University, New York, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025018584","display_name":"Adriana Heguy","orcid":"https://orcid.org/0000-0002-2836-6683","observed_orcids":["https://orcid.org/0000-0002-2836-6683"]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adriana Heguy","raw_affiliation_strings":["School of Medicine, New York University, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Medicine, New York University, New York, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":{"value":400,"currency":"USD","value_usd":400},"apc_paid":{"value":400,"currency":"USD","value_usd":400},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28297477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"1","first_page":"200","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.8955000042915344,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}},"topics":[{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.8955000042915344,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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/T11287","display_name":"Cancer Genomics and Diagnostics","score":0.09759999811649323,"subfield":{"id":"https://openalex.org/subfields/1306","display_name":"Cancer Research"},"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/T10261","display_name":"Genetic Associations and Epidemiology","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mutant-allele-frequency","display_name":"mutant allele frequency","score":0.7580000162124634},{"id":"https://openalex.org/keywords/oncogenes","display_name":"oncogenes","score":0.9900000095367432},{"id":"https://openalex.org/keywords/natural-selection","display_name":"natural selection","score":0.6909999847412109},{"id":"https://openalex.org/keywords/selection-coefficients","display_name":"selection coefficients","score":0.7020000219345093},{"id":"https://openalex.org/keywords/complete-dominance","display_name":"complete dominance","score":0.8050000071525574},{"id":"https://openalex.org/keywords/inverse-function-theorem","display_name":"inverse function theorem","score":0.6579999923706055},{"id":"https://openalex.org/keywords/gamma-distribution","display_name":"gamma distribution","score":0.7369999885559082},{"id":"https://openalex.org/keywords/recessive-alleles","display_name":"recessive alleles","score":0.8379999995231628},{"id":"https://openalex.org/keywords/dominant-alleles","display_name":"dominant alleles","score":0.7889999747276306},{"id":"https://openalex.org/keywords/tumor-evolution","display_name":"tumor evolution","score":0.37400001287460327},{"id":"https://openalex.org/keywords/germline-mutations","display_name":"germline mutations","score":0.7630000114440918}],"concepts":[{"id":"https://openalex.org/C180754005","wikidata":"https://www.wikidata.org/wiki/Q80726","display_name":"Allele","level":3,"score":0.8299813270568848},{"id":"https://openalex.org/C37463918","wikidata":"https://www.wikidata.org/wiki/Q387981","display_name":"Allele frequency","level":4,"score":0.7031998634338379},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.6096423864364624},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.5877221822738647},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.546941876411438},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5104764699935913},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.49960827827453613},{"id":"https://openalex.org/C75268714","wikidata":"https://www.wikidata.org/wiki/Q43478","display_name":"Natural selection","level":3,"score":0.4674924910068512},{"id":"https://openalex.org/C143065580","wikidata":"https://www.wikidata.org/wiki/Q3285695","display_name":"Mutant","level":3,"score":0.4287380874156952},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.15180224180221558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0707891583442688},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.045908063650131226},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1080/23737867.2016.1221328","doi":"https://doi.org/10.1080/23737867.2016.1221328","is_oa":true,"landing_page_url":"https://doi.org/10.1080/23737867.2016.1221328","pdf_url":null,"source":{"id":"https://openalex.org/S4210225657","display_name":"Letters in Biomathematics","issn_l":"2373-7867","issn":["2373-7867"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Letters in Biomathematics","raw_type":"journal-article"},{"id":"doi:10.30707/lib3.1kannan","doi":"https://doi.org/10.30707/lib3.1kannan","is_oa":true,"landing_page_url":"https://doi.org/10.30707/lib3.1kannan","pdf_url":"https://lettersinbiomath.journals.publicknowledgeproject.org/index.php/lib/article/download/173/141","source":{"id":"https://openalex.org/S4210225657","display_name":"Letters in Biomathematics","issn_l":"2373-7867","issn":["2373-7867"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Letters in Biomathematics","raw_type":"journal-article"},{"id":"doi:10.1101/047563","doi":"https://doi.org/10.1101/047563","is_oa":true,"landing_page_url":"https://doi.org/10.1101/047563","pdf_url":"https://www.biorxiv.org/content/biorxiv/early/2016/04/13/047563.full.pdf","source":{"id":"https://openalex.org/S4306402567","display_name":"bioRxiv (Cold Spring Harbor Laboratory)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2750212522","host_organization_name":"Cold Spring Harbor Laboratory","host_organization_lineage":["https://openalex.org/I2750212522"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"bioRxiv","raw_type":"posted-content"},{"id":"pmh:oai:arXiv.org:1604.04935","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.04935","pdf_url":"https://arxiv.org/pdf/1604.04935","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2951097012","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1604.04935","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:e284fda9162b462f9b546d8e9e45f392","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/e284fda9162b462f9b546d8e9e45f392","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,"listed_in":[],"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":"Letters in Biomathematics, Vol 3, Iss 1, Pp 200-208 (2016)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/3817341","doi":null,"is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Why_do_mutant_allele_frequencies_in_oncogenes_peak_around_40_and_rapidly_decrease_/3817341","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,"listed_in":[],"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":"Text"},{"id":"doi:10.48550/arxiv.1604.04935","doi":"https://doi.org/10.48550/arxiv.1604.04935","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1604.04935","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":"Preprint"},{"id":"doi:10.13140/rg.2.1.4508.7120","doi":"https://doi.org/10.13140/rg.2.1.4508.7120","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.1.4508.7120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Other"},{"id":"doi:10.6084/m9.figshare.3817341.v1","doi":"https://doi.org/10.6084/m9.figshare.3817341.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.3817341.v1","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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1080/23737867.2016.1221328","doi":"https://doi.org/10.1080/23737867.2016.1221328","is_oa":true,"landing_page_url":"https://doi.org/10.1080/23737867.2016.1221328","pdf_url":null,"source":{"id":"https://openalex.org/S4210225657","display_name":"Letters in Biomathematics","issn_l":"2373-7867","issn":["2373-7867"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Letters in Biomathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2951699248.pdf","grobid_xml":"https://content.openalex.org/works/W2951699248.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2016687536","https://openalex.org/W2059145105","https://openalex.org/W2114843025","https://openalex.org/W2141088880","https://openalex.org/W2143238378","https://openalex.org/W2149441684","https://openalex.org/W2169225803","https://openalex.org/W2205740488","https://openalex.org/W2260951263","https://openalex.org/W2739999456","https://openalex.org/W2795371766","https://openalex.org/W4230362492","https://openalex.org/W4300190830","https://openalex.org/W6634521162","https://openalex.org/W7057439426"],"related_works":["https://openalex.org/W2338158426","https://openalex.org/W1977216042","https://openalex.org/W2058227954","https://openalex.org/W6957822345","https://openalex.org/W6976876546","https://openalex.org/W2899409885","https://openalex.org/W6939647233","https://openalex.org/W2077893081","https://openalex.org/W2019675099","https://openalex.org/W2119244748"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"mutant":[2,73,125],"allele":[3,51,85,126,137,174,191],"frequencies":[4,86],"in":[5,30,89,172],"oncogenes":[6,90],"peak":[7],"around":[8],"0.40":[9],"and":[10],"rapidly":[11],"decrease.":[12],"In":[13],"this":[14,19,59,78],"article,":[15],"we":[16,38],"explain":[17,133],"why":[18],"is":[20,62,79],"the":[21,34,40,44,69,72,80,84,104,110,121,124,170,185],"case.":[22],"Invoking":[23],"a":[24,47,114],"key":[25],"result":[26],"from":[27],"mathematical":[28],"analysis":[29],"our":[31,96,139],"model,":[32],"namely,":[33],"inverse":[35],"function":[36,48,61,112],"theorem,":[37],"estimate":[39],"selection":[41,60,111,132,146,157,180],"pressures":[42],"of":[43,49,56,71,87,108,123],"mutations":[45,88],"as":[46],"germline":[50],"frequencies.":[52,127,153],"Under":[53],"complete":[54,148],"dominance":[55,149],"oncogenic":[57],"mutations,":[58],"expected":[63],"to":[64,169],"be":[65],"linearly":[66],"correlated":[67],"with":[68,103,167],"distribution":[70,116],"alleles.":[74],"We":[75,154],"demonstrate":[76],"that":[77,118,156],"case":[81],"by":[82],"investigating":[83],"across":[91],"various":[92],"cancer":[93],"types,":[94],"validating":[95],"model":[97,107],"for":[98,131,144],"mean":[99],"effective":[100],"selection.":[101],"Consistent":[102],"population":[105],"genetics":[106],"fitness,":[109],"fits":[113],"gamma":[115],"curve":[117],"accurately":[119],"describes":[120],"trend":[122],"While":[128],"existing":[129],"equations":[130,140,178],"evolution":[134],"at":[135,151,161,188],"low":[136,189],"frequencies,":[138],"are":[141],"general":[142],"formulas":[143],"natural":[145],"under":[147],"operating":[150],"all":[152,162],"show":[155],"exhibits":[158],"linear":[159],"behavior":[160],"times,":[163],"favoring":[164],"dominant":[165,190],"alleles":[166,187],"respect":[168],"change":[171],"recessive":[173,186],"frequency.":[175,192],"Also,":[176],"these":[177],"show,":[179],"behaves":[181],"like":[182],"power-law":[183],"against":[184]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-06-27T00:00:00"}
