{"id":"https://openalex.org/W7224774185","doi":"https://doi.org/10.55630/j.biomath.2026.10.304","title":"The role of follow-up programs in weight-loss maintenance: an optimal control approach","display_name":"The role of follow-up programs in weight-loss maintenance: an optimal control approach","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7224774185","doi":"https://doi.org/10.55630/j.biomath.2026.10.304"},"language":"en","primary_location":{"id":"doi:10.55630/j.biomath.2026.10.304","doi":"https://doi.org/10.55630/j.biomath.2026.10.304","is_oa":true,"landing_page_url":"https://doi.org/10.55630/j.biomath.2026.10.304","pdf_url":"https://biomath.math.bas.bg/biomath/index.php/biomath/article/download/j.biomath.2026.10.304/pdf","source":{"id":"https://openalex.org/S4210227265","display_name":"BIOMATH","issn_l":"1314-684X","issn":["1314-684X","1314-7218"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BIOMATH","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://biomath.math.bas.bg/biomath/index.php/biomath/article/download/j.biomath.2026.10.304/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160220321","display_name":"Chathuri T. Sandamali Edirisinghe","orcid":"https://orcid.org/0009-0003-4843-3630","observed_orcids":["https://orcid.org/0009-0003-4843-3630"]},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chathuri T. Sandamali Edirisinghe","raw_affiliation_strings":["The University of New Mexico - Gallup, Gallup, New Mexico, USA"],"raw_orcid":"https://orcid.org/0009-0003-4843-3630","affiliations":[{"raw_affiliation_string":"The University of New Mexico - Gallup, Gallup, New Mexico, USA","institution_ids":["https://openalex.org/I169521973"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5160220321"],"corresponding_institution_ids":["https://openalex.org/I169521973"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.83303488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"2","first_page":"2610304","last_page":"2610304"},"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":0.9916999936103821,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9916999936103821,"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"}},{"id":"https://openalex.org/T10010","display_name":"Obesity, Physical Activity, Diet","score":0.0019000000320374966,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.0010000000474974513,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/weight-loss-maintenance","display_name":"weight loss maintenance","score":0.9929999709129333},{"id":"https://openalex.org/keywords/obesity","display_name":"obesity","score":0.6489999890327454},{"id":"https://openalex.org/keywords/follow-up-program","display_name":"follow-up program","score":0.7580000162124634},{"id":"https://openalex.org/keywords/relapse","display_name":"relapse","score":0.7630000114440918},{"id":"https://openalex.org/keywords/social-influence","display_name":"social influence","score":0.7739999890327454},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.7770000100135803},{"id":"https://openalex.org/keywords/pontryagin-s-maximum-principle","display_name":"Pontryagin maximum principle","score":0.8550000190734863},{"id":"https://openalex.org/keywords/adjoint-system","display_name":"adjoint system","score":0.7129999995231628},{"id":"https://openalex.org/keywords/intervention-costs","display_name":"intervention costs","score":0.6510000228881836},{"id":"https://openalex.org/keywords/overweight-prevalence","display_name":"overweight prevalence","score":0.7369999885559082},{"id":"https://openalex.org/keywords/endemic-equilibrium","display_name":"endemic equilibrium","score":0.5090000033378601}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7944999933242798},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6931999921798706},{"id":"https://openalex.org/C2780586474","wikidata":"https://www.wikidata.org/wiki/Q332428","display_name":"Overweight","level":3,"score":0.6319000124931335},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.5284000039100647},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5048999786376953},{"id":"https://openalex.org/C2780665704","wikidata":"https://www.wikidata.org/wiki/Q959298","display_name":"Intervention (counseling)","level":2,"score":0.4796999990940094},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4724000096321106},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4616999924182892},{"id":"https://openalex.org/C511355011","wikidata":"https://www.wikidata.org/wiki/Q12174","display_name":"Obesity","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.3864000141620636},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.38440001010894775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3799000084400177},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.37209999561309814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3391000032424927},{"id":"https://openalex.org/C2777644927","wikidata":"https://www.wikidata.org/wiki/Q2300947","display_name":"Social cost","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C138816342","wikidata":"https://www.wikidata.org/wiki/Q189603","display_name":"Public health","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C544821477","wikidata":"https://www.wikidata.org/wiki/Q718113","display_name":"Weight loss","level":3,"score":0.2750000059604645},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2655999958515167},{"id":"https://openalex.org/C147583825","wikidata":"https://www.wikidata.org/wiki/Q620876","display_name":"Body weight","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C150325174","wikidata":"https://www.wikidata.org/wiki/Q4335500","display_name":"Optimal decision","level":3,"score":0.26080000400543213},{"id":"https://openalex.org/C2780320433","wikidata":"https://www.wikidata.org/wiki/Q3403879","display_name":"Weight gain","level":3,"score":0.25929999351501465}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.55630/j.biomath.2026.10.304","doi":"https://doi.org/10.55630/j.biomath.2026.10.304","is_oa":true,"landing_page_url":"https://doi.org/10.55630/j.biomath.2026.10.304","pdf_url":"https://biomath.math.bas.bg/biomath/index.php/biomath/article/download/j.biomath.2026.10.304/pdf","source":{"id":"https://openalex.org/S4210227265","display_name":"BIOMATH","issn_l":"1314-684X","issn":["1314-684X","1314-7218"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BIOMATH","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9f63cb997f454ebe8cad61fb9bc6435d","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/9f63cb997f454ebe8cad61fb9bc6435d","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Biomath, Vol 15, Iss 2 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.55630/j.biomath.2026.10.304","doi":"https://doi.org/10.55630/j.biomath.2026.10.304","is_oa":true,"landing_page_url":"https://doi.org/10.55630/j.biomath.2026.10.304","pdf_url":"https://biomath.math.bas.bg/biomath/index.php/biomath/article/download/j.biomath.2026.10.304/pdf","source":{"id":"https://openalex.org/S4210227265","display_name":"BIOMATH","issn_l":"1314-684X","issn":["1314-684X","1314-7218"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BIOMATH","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8560000061988831,"display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224774185.pdf","grobid_xml":"https://content.openalex.org/works/W7224774185.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2568022515","https://openalex.org/W2133153566","https://openalex.org/W2075072107","https://openalex.org/W2002471225","https://openalex.org/W2074666746","https://openalex.org/W2107542394","https://openalex.org/W4255665097","https://openalex.org/W4297453793","https://openalex.org/W2072135874","https://openalex.org/W2006782437"],"abstract_inverted_index":{"Weight-loss":[0],"maintenance":[1],"remains":[2],"a":[3,21,31,39,132],"persistent":[4],"public":[5],"health":[6],"challenge,":[7],"partly":[8],"because":[9],"social":[10,34],"influence":[11],"and":[12,66,84,95,108,130,161],"behavioral":[13],"relapse":[14,48],"can":[15],"return":[16],"individuals":[17],"who":[18],"have":[19],"achieved":[20],"healthy":[22],"weight":[23],"to":[24,60,89,126],"an":[25,81],"overweight":[26,65],"state.":[27],"This":[28],"study":[29],"extends":[30],"previously":[32],"developed":[33],"obesity":[35,67],"model":[36],"by":[37,122],"introducing":[38],"time-dependent":[40],"follow-up":[41,74],"control":[42,56,83],"\u03ba(t)":[43],"that":[44,172],"reduces":[45],"the":[46,51,62,70,78,91,99,103,112,116,127,137,144,148,152,173,187,191],"effective":[47],"rate":[49],"from":[50],"recovered":[52,134],"class.":[53],"An":[54],"optimal":[55,82,100,113,153],"problem":[57],"is":[58,140,155,166,181],"formulated":[59],"minimize":[61],"prevalence":[63,119],"of":[64,73,80,98],"together":[68],"with":[69,157],"implementation":[71,165],"cost":[72],"support.":[75],"We":[76],"prove":[77],"existence":[79],"use":[85],"Pontryagin's":[86],"Maximum":[87],"Principle":[88],"derive":[90],"corresponding":[92],"adjoint":[93],"system":[94,188],"pointwise":[96],"characterization":[97],"strategy.":[101],"Under":[102],"baseline":[104],"weighting,":[105],"initial":[106],"condition,":[107],"30-year":[109,149],"planning":[110],"horizon,":[111],"intervention":[114,145],"lowers":[115],"combined":[117],"overweight-and-obese":[118],"at":[120],"T=30":[121],"approximately":[123],"6.9%":[124],"relative":[125],"uncontrolled":[128,192],"trajectory":[129],"maintains":[131],"larger":[133],"population,":[135],"although":[136],"total":[138],"burden":[139],"not":[141],"reversed":[142],"over":[143],"horizon.":[146],"Over":[147],"horizon":[150],"considered,":[151],"strategy":[154],"front-loaded,":[156],"stronger":[158],"support":[159,180],"early":[160],"lower":[162],"intensity":[163],"when":[164],"more":[167],"costly.":[168],"Post-intervention":[169],"simulations":[170],"show":[171],"benefit":[174],"persists":[175],"for":[176],"many":[177],"years":[178],"after":[179],"withdrawn":[182],"but":[183],"gradually":[184],"erodes":[185],"as":[186],"relaxes":[189],"toward":[190],"endemic":[193],"equilibrium.":[194]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2026-10-31T00:00:00"}
