{"id":"https://openalex.org/W1977489448","doi":"https://doi.org/10.1081/bip-200040855","title":"RESPONDER CELL FREQUENCY ESTIMATION AND BINOMIAL THREE-LEVEL NONLINEAR MIXED EFFECTS MODEL IN LIMITING DILUTION ASSAYS","display_name":"RESPONDER CELL FREQUENCY ESTIMATION AND BINOMIAL THREE-LEVEL NONLINEAR MIXED EFFECTS MODEL IN LIMITING DILUTION ASSAYS","publication_year":2004,"publication_date":"2004-12-28","ids":{"openalex":"https://openalex.org/W1977489448","doi":"https://doi.org/10.1081/bip-200040855","mag":"1977489448","pmid":"https://pubmed.ncbi.nlm.nih.gov/15702611"},"language":"en","primary_location":{"id":"doi:10.1081/bip-200040855","doi":"https://doi.org/10.1081/bip-200040855","is_oa":false,"landing_page_url":"https://doi.org/10.1081/bip-200040855","pdf_url":null,"source":{"id":"https://openalex.org/S56946555","display_name":"Journal of Biopharmaceutical Statistics","issn_l":"1054-3406","issn":["1054-3406","1520-5711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-2","vabb-shw"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biopharmaceutical Statistics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109958040","display_name":"Misoo C. Ellison","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3019586173","display_name":"National Jewish Health","ror":"https://ror.org/016z2bp30","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I3019586173"]},{"id":"https://openalex.org/I4210087413","display_name":"University of Colorado Health","ror":"https://ror.org/0107w4315","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210087413"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Misoo C. Ellison","raw_affiliation_strings":["a   Division of Biostatistics , National Jewish Medical and Research Center , Denver, Colorado,  USA","b   Department of Preventive Medicine and Biometrics , University of Colorado Health Sciences Center , Denver, Colorado,  USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a   Division of Biostatistics , National Jewish Medical and Research Center , Denver, Colorado,  USA","institution_ids":["https://openalex.org/I3019586173"]},{"raw_affiliation_string":"b   Department of Preventive Medicine and Biometrics , University of Colorado Health Sciences Center , Denver, Colorado,  USA","institution_ids":["https://openalex.org/I4210087413","https://openalex.org/I921990950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081318932","display_name":"Gary O. Zerbe","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210087413","display_name":"University of Colorado Health","ror":"https://ror.org/0107w4315","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210087413"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary O. Zerbe","raw_affiliation_strings":["c   Department of Preventive Medicine and Biometrics , University of Colorado Health Sciences Center , Denver, Colorado,  USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"c   Department of Preventive Medicine and Biometrics , University of Colorado Health Sciences Center , Denver, Colorado,  USA","institution_ids":["https://openalex.org/I4210087413","https://openalex.org/I921990950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051264386","display_name":"Myron J. Levin","orcid":"https://orcid.org/0000-0002-7468-106X","observed_orcids":["https://orcid.org/0000-0002-7468-106X"]},"institutions":[{"id":"https://openalex.org/I51713134","display_name":"University of Colorado Anschutz","ror":"https://ror.org/03wmf1y16","country_code":"US","type":"education","lineage":["https://openalex.org/I51713134"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Myron J. Levin","raw_affiliation_strings":["d   Section of Pediatric Infectious Diseases , University of Colorado School of Medicine , Denver, Colorado,  USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"d   Section of Pediatric Infectious Diseases , University of Colorado School of Medicine , Denver, Colorado,  USA","institution_ids":["https://openalex.org/I51713134","https://openalex.org/I921990950"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3376,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63047961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"1","first_page":"165","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9487000107765198,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9487000107765198,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.039000000804662704,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13500","display_name":"Probability and Statistical Research","score":0.0019000000320374966,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/limiting-dilution-assay","display_name":"limiting dilution assay","score":0.9940000176429749},{"id":"https://openalex.org/keywords/herpes-zoster-prevention","display_name":"herpes zoster prevention","score":0.7889999747276306},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"negative binomial distribution","score":0.7900000214576721},{"id":"https://openalex.org/keywords/adaptive-gaussian-quadrature","display_name":"adaptive Gaussian quadrature","score":0.8429999947547913},{"id":"https://openalex.org/keywords/estimation-bias","display_name":"estimation bias","score":0.41200000047683716}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6508023738861084},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.6260616779327393},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5606254935264587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5402327179908752},{"id":"https://openalex.org/C33643355","wikidata":"https://www.wikidata.org/wiki/Q5176731","display_name":"Count data","level":3,"score":0.530686616897583},{"id":"https://openalex.org/C96618451","wikidata":"https://www.wikidata.org/wiki/Q3028008","display_name":"Dilution","level":2,"score":0.5229083895683289},{"id":"https://openalex.org/C91025261","wikidata":"https://www.wikidata.org/wiki/Q7269460","display_name":"Quasi-likelihood","level":4,"score":0.516416609287262},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5154446363449097},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5064386129379272},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4414176344871521},{"id":"https://openalex.org/C16012445","wikidata":"https://www.wikidata.org/wiki/Q1501135","display_name":"Mixed model","level":2,"score":0.43018102645874023},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4264594614505768},{"id":"https://openalex.org/C168743327","wikidata":"https://www.wikidata.org/wiki/Q1826427","display_name":"Random effects model","level":3,"score":0.41347068548202515},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1782131791114807},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14838743209838867},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.130933940410614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12686863541603088},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08085605502128601},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C95190672","wikidata":"https://www.wikidata.org/wiki/Q815382","display_name":"Meta-analysis","level":2,"score":0.0},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D002452","descriptor_name":"Cell Count","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":true},{"descriptor_ui":"D006562","descriptor_name":"Herpes Zoster","qualifier_ui":"Q000517","qualifier_name":"prevention & control","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007111","descriptor_name":"Immunity, Cellular","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":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019433","descriptor_name":"Chickenpox Vaccine","qualifier_ui":"Q000008","qualifier_name":"administration & dosage","is_major_topic":true},{"descriptor_ui":"D019433","descriptor_name":"Chickenpox Vaccine","qualifier_ui":"Q000276","qualifier_name":"immunology","is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1081/bip-200040855","doi":"https://doi.org/10.1081/bip-200040855","is_oa":false,"landing_page_url":"https://doi.org/10.1081/bip-200040855","pdf_url":null,"source":{"id":"https://openalex.org/S56946555","display_name":"Journal of Biopharmaceutical Statistics","issn_l":"1054-3406","issn":["1054-3406","1520-5711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-2","vabb-shw"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biopharmaceutical Statistics","raw_type":"journal-article"},{"id":"pmid:15702611","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15702611","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,"listed_in":[],"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":"Journal of biopharmaceutical statistics","raw_type":"Comparative Study"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8048999905586243}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1967495697","https://openalex.org/W1989667454","https://openalex.org/W1997241297","https://openalex.org/W2008434000","https://openalex.org/W2018767475","https://openalex.org/W2019585898","https://openalex.org/W2023954230","https://openalex.org/W2027324716","https://openalex.org/W2034236240","https://openalex.org/W2039282073","https://openalex.org/W2039576831","https://openalex.org/W2092091752","https://openalex.org/W2092557034","https://openalex.org/W2103823324","https://openalex.org/W2132828342","https://openalex.org/W2145607175","https://openalex.org/W2146368895","https://openalex.org/W2321123402","https://openalex.org/W2492458449","https://openalex.org/W2796418092","https://openalex.org/W4291300919"],"related_works":["https://openalex.org/W2326485750","https://openalex.org/W2075825284","https://openalex.org/W2413032852","https://openalex.org/W2091022862","https://openalex.org/W2047012867","https://openalex.org/W1981534100","https://openalex.org/W2039282073","https://openalex.org/W2319597202","https://openalex.org/W2141021147","https://openalex.org/W2900439725"],"abstract_inverted_index":{"Responder":[0],"cell":[1,40,115],"frequencies":[2],"(RCF),":[3],"which":[4,89,175,193],"describe":[5],"vaccine-boosted":[6],"immune":[7],"responses":[8,105,126],"in":[9,46,61,84,200],"herpes":[10],"zoster":[11],"(HZ)":[12],"prevention":[13,102],"studies,":[14,103],"have":[15],"been":[16],"estimated":[17],"by":[18,74],"using":[19],"limiting":[20],"dilution":[21,44,129],"assays":[22,138],"(LDA).":[23],"The":[24],"theoretical":[25],"linearity":[26],"assumption":[27,71],"between":[28,94,125,136],"the":[29,32,39,50,69,123,134,188,198,201],"logarithm":[30],"of":[31,34,64,78,139,169],"proportion":[33],"nonresponding":[35],"wells":[36],"(s)":[37],"and":[38,80,96,117,133],"concentration":[41],"(N)":[42],"(or":[43],"level)":[45],"LDA,":[47],"based":[48],"on":[49],"single-hit":[51],"Poisson":[52,70,79],"model,":[53,192],"is":[54,72,150,159,166,205],"often":[55],"violated":[56],"with":[57],"observed":[58],"data":[59],"resulting":[60,83],"biased":[62],"estimates":[63],"RCF.":[65],"In":[66,98,182],"this":[67,183],"article,":[68,184],"modified":[73],"applying":[75],"a":[76,85,91,144,155,167,179],"mixture":[77],"gamma":[81],"distributions,":[82],"negative":[86],"binomial":[87,145],"assumption,":[88],"presents":[90],"better":[92],"fit":[93],"s":[95],"N.":[97],"LDA":[99],"for":[100,122,187],"HZ":[101],"binary":[104],"(responder":[106],"or":[107],"non-responder":[108],"wells)":[109],"are":[110],"measured":[111],"repeatedly":[112],"at":[113],"different":[114],"concentrations":[116],"over":[118,141],"time.":[119],"To":[120],"account":[121],"correlation":[124,135],"to":[127],"varying":[128],"levels":[130],"from":[131],"individuals,":[132],"repeated":[137],"individuals":[140],"time":[142],"simultaneously,":[143],"three-level":[146,189],"nonlinear":[147,172,190],"mixed-effects":[148,173,191],"model":[149],"proposed.":[151],"For":[152],"parameter":[153],"estimation,":[154],"maximum":[156],"likelihood":[157],"method":[158],"applied":[160],"via":[161],"adaptive":[162],"Gaussian":[163],"quadrature.":[164],"There":[165],"lack":[168],"non-Gaussian":[170],"multilevel":[171],"software,":[174],"can":[176,194],"execute":[177],"such":[178],"complicated":[180],"fit.":[181],"an":[185],"algorithm":[186],"be":[195],"inserted":[196],"into":[197],"code":[199],"SAS":[202],"procedure":[203],"NLMIXED,":[204],"suggested.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
