{"id":"https://openalex.org/W3026741320","doi":"https://doi.org/10.1137/19m1246031","title":"Hierarchical Mixed-Effects Model for HIV Dynamics","display_name":"Hierarchical Mixed-Effects Model for HIV Dynamics","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3026741320","doi":"https://doi.org/10.1137/19m1246031","mag":"3026741320"},"language":"en","primary_location":{"id":"doi:10.1137/19m1246031","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1246031","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":"article","indexed_in":["crossref"],"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/A5014171633","display_name":"Yun Jeong Lee","orcid":"https://orcid.org/0000-0003-3472-5336"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yunjeong Lee","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040005802","display_name":"Yoon-gu Hwang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoon-gu Hwang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105921193","display_name":"Hee-Dae Kwon","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hee-Dae Kwon","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024506731","display_name":"Jun Yong Choi","orcid":"https://orcid.org/0000-0002-2775-3315"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jun Yong Choi","raw_affiliation_strings":["Department of  Internal Medicine"],"affiliations":[{"raw_affiliation_string":"Department of  Internal Medicine","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086986405","display_name":"Jee-Hyun Lee","orcid":"https://orcid.org/0000-0002-2102-7531"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jeehyun Lee","raw_affiliation_strings":["Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5014171633"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07020867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"3","first_page":"1290","last_page":"1306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9294999837875366,"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/T10112","display_name":"HIV Research and Treatment","score":0.9046000242233276,"subfield":{"id":"https://openalex.org/subfields/2406","display_name":"Virology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6369222402572632},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6153578758239746},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6126702427864075},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.590652585029602},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5663024187088013},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5239341855049133},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4991025924682617},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4785086214542389},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.44208624958992004},{"id":"https://openalex.org/keywords/random-effects-model","display_name":"Random effects model","score":0.4265814423561096},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2932012677192688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25937601923942566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24597135186195374},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1096060574054718},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.08083274960517883}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6369222402572632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6153578758239746},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6126702427864075},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.590652585029602},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5663024187088013},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5239341855049133},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4991025924682617},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4785086214542389},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.44208624958992004},{"id":"https://openalex.org/C168743327","wikidata":"https://www.wikidata.org/wiki/Q1826427","display_name":"Random effects model","level":3,"score":0.4265814423561096},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2932012677192688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25937601923942566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24597135186195374},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1096060574054718},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.08083274960517883},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1246031","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1246031","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8299999833106995,"display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G116046154","display_name":null,"funder_award_id":"CRC-16-01-KR1CT","funder_id":"https://openalex.org/F4320325370","funder_display_name":"National Research Council of Science and Technology"},{"id":"https://openalex.org/G5336440999","display_name":null,"funder_award_id":"2016R1A2B4014178","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G5592968830","display_name":null,"funder_award_id":"2015R1A5A1009350","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G8349893355","display_name":null,"funder_award_id":"2016R1D1A1B04931897","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320325370","display_name":"National Research Council of Science and Technology","ror":"https://ror.org/058rymf81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W44136833","https://openalex.org/W583021359","https://openalex.org/W1482581820","https://openalex.org/W1494628843","https://openalex.org/W1496857014","https://openalex.org/W1509269909","https://openalex.org/W1972014514","https://openalex.org/W1972627087","https://openalex.org/W1992226698","https://openalex.org/W1993918978","https://openalex.org/W2044403736","https://openalex.org/W2061657962","https://openalex.org/W2065608903","https://openalex.org/W2065757233","https://openalex.org/W2085722235","https://openalex.org/W2093259226","https://openalex.org/W2107029455","https://openalex.org/W2142710921","https://openalex.org/W2247951514","https://openalex.org/W2333635821","https://openalex.org/W2618483832"],"related_works":["https://openalex.org/W2724817865","https://openalex.org/W2400992695","https://openalex.org/W2382944939","https://openalex.org/W2903803878","https://openalex.org/W2769734385","https://openalex.org/W3033897309","https://openalex.org/W2077535307","https://openalex.org/W2093617977","https://openalex.org/W2975000437","https://openalex.org/W2075371748"],"abstract_inverted_index":{"A":[0],"hierarchical":[1],"mixed-effects":[2],"model":[3,21],"is":[4,22,39],"proposed":[5],"to":[6,41],"account":[7],"for":[8,45],"both":[9],"individual-":[10],"and":[11,71],"population-level":[12],"variability":[13],"in":[14,32],"human":[15],"immunodeficiency":[16],"virus":[17],"(HIV)":[18],"dynamics.":[19],"This":[20],"implemented":[23],"by":[24,55],"formulating":[25],"the":[26,43,56,62],"crucial":[27],"parameters":[28],"as":[29],"random":[30,69],"variables":[31],"an":[33],"in-host":[34],"HIV":[35],"model.":[36],"Model":[37],"reduction":[38],"used":[40],"guide":[42],"choice":[44],"a":[46],"minimal":[47],"set":[48],"of":[49,64],"parameters,":[50],"whose":[51],"distributions":[52],"are":[53],"estimated":[54],"global":[57],"two-stage":[58],"method.":[59],"We":[60],"analyze":[61],"system":[63],"ordinary":[65],"differential":[66],"equations":[67],"with":[68],"coefficients":[70],"provide":[72],"numerical":[73],"simulations":[74],"illustrating":[75],"its":[76],"asymptotic":[77],"behaviors.":[78]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}