{"id":"https://openalex.org/W1967276268","doi":"https://doi.org/10.3390/computation2040199","title":"Computation of the Likelihood in Biallelic Diffusion Models Using Orthogonal Polynomials","display_name":"Computation of the Likelihood in Biallelic Diffusion Models Using Orthogonal Polynomials","publication_year":2014,"publication_date":"2014-11-14","ids":{"openalex":"https://openalex.org/W1967276268","doi":"https://doi.org/10.3390/computation2040199","mag":"1967276268"},"language":"en","primary_location":{"id":"doi:10.3390/computation2040199","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation2040199","pdf_url":"https://www.mdpi.com/2079-3197/2/4/199/pdf?version=1416211350","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/2/4/199/pdf?version=1416211350","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023097867","display_name":"Claus Vogl","orcid":"https://orcid.org/0000-0002-3996-7863"},"institutions":[{"id":"https://openalex.org/I150540706","display_name":"University of Veterinary Medicine Vienna","ror":"https://ror.org/01w6qp003","country_code":"AT","type":"education","lineage":["https://openalex.org/I150540706"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Claus Vogl","raw_affiliation_strings":["Institute of Animal Breeding and Genetics, University of Veterinary Medicine, Vienna, Veterinarplatz 1, 1210 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Animal Breeding and Genetics, University of Veterinary Medicine, Vienna, Veterinarplatz 1, 1210 Vienna, Austria","institution_ids":["https://openalex.org/I150540706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023097867"],"corresponding_institution_ids":["https://openalex.org/I150540706"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2686,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8422363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2","issue":"4","first_page":"199","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9732999801635742,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9732999801635742,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13675","display_name":"Diffusion Coefficients in Liquids","score":0.9606999754905701,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9599999785423279,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.770296573638916},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5831873416900635},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5530461072921753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43796926736831665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3653217852115631},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32581543922424316},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20838448405265808},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1237296462059021}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.770296573638916},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5831873416900635},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5530461072921753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43796926736831665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3653217852115631},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32581543922424316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20838448405265808},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1237296462059021},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation2040199","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation2040199","pdf_url":"https://www.mdpi.com/2079-3197/2/4/199/pdf?version=1416211350","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:12c7b1ae63be44c88a749aeb9679880e","is_oa":true,"landing_page_url":"https://doaj.org/article/12c7b1ae63be44c88a749aeb9679880e","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":"Computation, Vol 2, Iss 4, Pp 199-220 (2014)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/2/4/199/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation2040199","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Computation","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation2040199","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation2040199","pdf_url":"https://www.mdpi.com/2079-3197/2/4/199/pdf?version=1416211350","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1967276268.pdf","grobid_xml":"https://content.openalex.org/works/W1967276268.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1597609737","https://openalex.org/W1789768012","https://openalex.org/W1791608362","https://openalex.org/W1857888447","https://openalex.org/W1972586065","https://openalex.org/W1977635311","https://openalex.org/W1992618625","https://openalex.org/W2001196930","https://openalex.org/W2004778468","https://openalex.org/W2026818620","https://openalex.org/W2032954430","https://openalex.org/W2033475034","https://openalex.org/W2038793143","https://openalex.org/W2045391589","https://openalex.org/W2058369118","https://openalex.org/W2070605614","https://openalex.org/W2081373460","https://openalex.org/W2082967637","https://openalex.org/W2083536199","https://openalex.org/W2083605491","https://openalex.org/W2086809421","https://openalex.org/W2103844658","https://openalex.org/W2116416291","https://openalex.org/W2125300654","https://openalex.org/W2126508095","https://openalex.org/W2138941821","https://openalex.org/W2139776178","https://openalex.org/W2153587490","https://openalex.org/W2160875695","https://openalex.org/W2171463101","https://openalex.org/W2241779343","https://openalex.org/W2477829615","https://openalex.org/W2581071829","https://openalex.org/W3012079654","https://openalex.org/W3103598160","https://openalex.org/W3112961938","https://openalex.org/W4388322114"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0,40,57,158,192],"population":[1,202],"genetics,":[2],"parameters":[3,204],"describing":[4],"forces":[5],"such":[6,32,91,110,172],"as":[7,115],"mutation,":[8],"migration":[9],"and":[10,24,142],"drift":[11],"are":[12,55,63],"generally":[13],"inferred":[14],"from":[15,78,184],"molecular":[16],"data.":[17],"Lately,":[18],"approximate":[19],"methods":[20,37,43],"based":[21],"on":[22,103],"simulations":[23],"summary":[25],"statistics":[26],"have":[27],"been":[28,94],"widely":[29],"applied":[30],"for":[31,200],"inference,":[33],"even":[34],"though":[35],"these":[36],"waste":[38],"information.":[39],"contrast,":[41],"probabilistic":[42],"of":[44,83,90,109,123,137,164,171,178,197],"inference":[45],"can":[46,72,112,154,189],"be":[47,50,73,113,155,190],"shown":[48],"to":[49,66,75,175],"optimal,":[51],"if":[52],"their":[53],"assumptions":[54],"met.":[56],"genomic":[58],"regions":[59],"where":[60],"recombination":[61],"rates":[62],"high":[64],"relative":[65],"mutation":[67],"rates,":[68],"polymorphic":[69],"nucleotide":[70],"sites":[71,92],"assumed":[74],"evolve":[76],"independently":[77],"each":[79],"other.":[80],"The":[81],"distribution":[82],"allele":[84],"frequencies":[85],"at":[86],"a":[87],"large":[88],"number":[89],"has":[93],"called":[95],"\u201callele-frequency":[96],"spectrum\u201d":[97,100],"or":[98,130,145],"\u201csite-frequency":[99],"(SFS).":[101],"Conditional":[102],"the":[104,107,121,127,146,151,159,162,165,169,186,195],"allelic":[105,124],"proportions,":[106],"likelihoods":[108,167,188],"data":[111],"modeled":[114],"binomial.":[116],"A":[117],"simple":[118,182],"model":[119],"representing":[120],"evolution":[122],"proportions":[125],"is":[126,205],"biallelic":[128],"mutation-drift":[129],"mutation-directional":[131],"selection-drift":[132],"diffusion":[133,152],"model.":[134],"With":[135],"series":[136,177],"orthogonal":[138,198],"polynomials,":[139,144,179],"specifically":[140],"Jacobi":[141],"Gegenbauer":[143],"related":[147],"spheroidal":[148],"wave":[149],"function,":[150],"equations":[153],"solved":[156],"efficiently.":[157],"neutral":[160],"case,":[161],"product":[163],"binomial":[166],"with":[168],"sum":[170],"polynomials":[173,199],"leads":[174],"finite":[176],"i.e.,":[180],"relatively":[181],"equations,":[183],"which":[185],"exact":[187],"calculated.":[191],"this":[193],"article,":[194],"use":[196],"inferring":[201],"genetic":[203],"investigated.":[206]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}