{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T02:03:59Z","timestamp":1776650639511,"version":"3.51.2"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T00:00:00Z","timestamp":1744156800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T00:00:00Z","timestamp":1744156800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Math Biol"],"published-print":{"date-parts":[[2025,5]]},"DOI":"10.1007\/s11538-025-01431-3","type":"journal-article","created":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T14:28:46Z","timestamp":1744208926000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Risk-Structured Model of the Influence of Mental Health on Opioid Addiction"],"prefix":"10.1007","volume":"87","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-5265-0596","authenticated-orcid":false,"given":"Katelyn R.","family":"Newton","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"London M.","family":"Luttrell","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Julie C.","family":"Blackwood","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kathryn J.","family":"Montovan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eli E.","family":"Goldwyn","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,4,9]]},"reference":[{"key":"1431_CR1","unstructured":"Azadfard M, Huecker MR, Leaming JM (2023) Opioid Addiction. StatPearls Publishing, Treasure Island, FL. http:\/\/europepmc.org\/books\/NBK448203"},{"key":"1431_CR2","doi-asserted-by":"crossref","unstructured":"Bandyopadhyay S (2019) An 8,000-year history of use and abuse of opium and opioids: How that matters for a successful control of the epidemic?(p4. 9-055). Neurology 92(15\\_supplement), 4\u20139","DOI":"10.1212\/WNL.92.15_supplement.P4.9-055"},{"key":"1431_CR3","doi-asserted-by":"publisher","first-page":"2258","DOI":"10.1007\/s11538-019-00605-0","volume":"81","author":"NA Battista","year":"2019","unstructured":"Battista NA, Pearcy LB, Strickland WC (2019) Modeling the prescription opioid epidemic. Bull Math Biol 81:2258\u20132289","journal-title":"Bull Math Biol"},{"issue":"6","key":"1431_CR4","doi-asserted-by":"publisher","first-page":"564","DOI":"10.1016\/j.genhosppsych.2009.07.003","volume":"31","author":"JB Braden","year":"2009","unstructured":"Braden JB, Sullivan MD, Ray GT, Saunders K, Merrill J, Silverberg MJ, Rutter CM, Weisner C, Banta-Green C, Campbell C et al (2009) Trends in long-term opioid therapy for noncancer pain among persons with a history of depression. Gen Hosp Psychiatry 31(6):564\u2013570","journal-title":"Gen Hosp Psychiatry"},{"issue":"6","key":"1431_CR5","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1007\/s11538-023-01148-1","volume":"85","author":"C Butler","year":"2023","unstructured":"Butler C, Stechlinski P (2023) Modeling opioid abuse: a case study of the opioid crisis in new England. Bull Math Biol 85(6):45","journal-title":"Bull Math Biol"},{"key":"1431_CR6","unstructured":"Centers for Disease Control and Prevention (2022) Prevention: Drug Overdose Deaths. Centers for Disease Control and Prevention. [Online; accessed 7-March-2023]"},{"key":"1431_CR7","unstructured":"CDC: United States Dispensing Rate Maps. https:\/\/www.cdc.gov\/overdose-prevention\/data-research\/facts-stats\/us-dispensing-rate-maps.html. [Online; accessed 22-November-2024] (2024)"},{"issue":"1","key":"1431_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s12916-018-1058-y","volume":"16","author":"H-Y Chang","year":"2018","unstructured":"Chang H-Y, Kharrazi H, Bodycombe D, Weiner JP, Alexander GC (2018) Healthcare costs and utilization associated with high-risk prescription opioid use: a retrospective cohort study. BMC Med 16(1):1\u201311","journal-title":"BMC Med"},{"issue":"4","key":"1431_CR9","doi-asserted-by":"publisher","first-page":"407","DOI":"10.3122\/jabfm.2017.04.170112","volume":"30","author":"MA Davis","year":"2017","unstructured":"Davis MA, Lin LA, Liu H, Sites BD (2017) Prescription opioid use among adults with mental health disorders in the united states. J Am Board Family Med 30(4):407\u2013417","journal-title":"J Am Board Family Med"},{"key":"1431_CR10","doi-asserted-by":"crossref","unstructured":"Florence C, Luo F, Rice K (2021) The economic burden of opioid use disorder and fatal opioid overdose in the united states, 2017. Drug and Alcohol Dependence 218","DOI":"10.1016\/j.drugalcdep.2020.108350"},{"key":"1431_CR11","doi-asserted-by":"crossref","unstructured":"Gfroerer J, Kennet J (2014) Collecting survey data on sensitive topics: Substance use. Health survey methods, 447\u2013472","DOI":"10.1002\/9781118594629.ch17"},{"key":"1431_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2105\/AJPH.64.12_Suppl.1","volume":"64","author":"MH Greene","year":"1974","unstructured":"Greene MH (1974) An epidemiologic assessment of heroin use. Am J Public Health 64:1\u201310","journal-title":"Am J Public Health"},{"issue":"5","key":"1431_CR13","doi-asserted-by":"publisher","first-page":"293","DOI":"10.7326\/M17-0865","volume":"167","author":"B Han","year":"2017","unstructured":"Han B, Compton WM, Blanco C, Crane E, Lee J, Jones CM (2017) Prescription opioid use, misuse, and use disorders in us adults: 2015 national survey on drug use and health. Ann Intern Med 167(5):293\u2013301","journal-title":"Ann Intern Med"},{"key":"1431_CR14","unstructured":"Hoots BE, Xu L, Kariisa M, Wilson NO, Rudd RA, Scholl L, Schieber L, Seth P (2018) 2018 annual surveillance report of drug-related risks and outcomes\u2013united states. [Online; accessed 16-April-2023]"},{"key":"1431_CR15","unstructured":"John Hopkins Medicine (2022) Opioids. https:\/\/www.hopkinsmedicine.org\/health\/treatment-tests-and-therapies\/opioids. [Online; accessed 6-March-2023]"},{"issue":"772","key":"1431_CR16","first-page":"700","volume":"115","author":"WO Kermack","year":"1927","unstructured":"Kermack WO, McKendrick AG (1927) A contribution to the mathematical theory of epidemics. Proc Royal Soc London Series A Containing Papers Math Phys Character 115(772):700\u2013721","journal-title":"Proc Royal Soc London Series A Containing Papers Math Phys Character"},{"issue":"1","key":"1431_CR17","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.drugpo.2011.05.014","volume":"23","author":"SE Lankenau","year":"2012","unstructured":"Lankenau SE, Teti M, Silva K, Bloom JJ, Harocopos A, Treese M (2012) Initiation into prescription opioid misuse amongst young injection drug users. Int J Drug Policy 23(1):37\u201344","journal-title":"Int J Drug Policy"},{"key":"1431_CR18","doi-asserted-by":"crossref","unstructured":"Maclean JC, Mallatt J, Ruhm CJ, Simon K (2020) Economic studies on the opioid crisis: A review","DOI":"10.3386\/w28067"},{"key":"1431_CR19","doi-asserted-by":"publisher","first-page":"2364","DOI":"10.1007\/s11538-016-0218-5","volume":"78","author":"J Mushanyu","year":"2016","unstructured":"Mushanyu J, Nyabadza F, Muchatibaya G, Stewart A (2016) Modelling drug abuse epidemics in the presence of limited rehabilitation capacity. Bull Math Biol 78:2364\u20132389","journal-title":"Bull Math Biol"},{"issue":"1","key":"1431_CR20","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s10441-016-9302-3","volume":"65","author":"J Mushanyu","year":"2017","unstructured":"Mushanyu J, Nyabadza F, Muchatibaya G, Stewart A (2017) On the role of imitation on adolescence methamphetamine abuse dynamics. Acta Biotheor 65(1):37\u201361","journal-title":"Acta Biotheor"},{"key":"1431_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s40819-017-0477-3","volume":"4","author":"J Mushanyu","year":"2018","unstructured":"Mushanyu J, Nyabadza F, Mafuta P, Ngarakana-Gwasira E (2018) Modelling gender differences in drug abuse epidemics. Int J Appl Comput Math 4:1\u201321","journal-title":"Int J Appl Comput Math"},{"issue":"2","key":"1431_CR22","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1016\/j.mbs.2010.03.002","volume":"225","author":"F Nyabadza","year":"2010","unstructured":"Nyabadza F, Hove-Musekwa SD (2010) From heroin epidemics to methamphetamine epidemics: modelling substance abuse in a south African province. Math Biosci 225(2):132\u2013140","journal-title":"Math Biosci"},{"key":"1431_CR23","unstructured":"National Institutes of Health (2022) Prescription opioid use is a risk factor for heroin use. https:\/\/nida.nih.gov\/publications\/research-reports\/prescription-opioids-heroin\/prescription-opioid-use-risk-factor-heroin-use#ref. [Online; accessed 7-March-2023]"},{"key":"1431_CR24","unstructured":"National Institutes of Health (2023a) Drug overdose death rates. https:\/\/nida.nih.gov\/research-topics\/trends-statistics\/overdose-death-rates. [Online; accessed 6-March-2023]"},{"key":"1431_CR25","unstructured":"National Institutes of Health (2023b) Mental Illness. https:\/\/www.nimh.nih.gov\/health\/statistics\/mental-illness. [Online; accessed 6-March-2023]"},{"issue":"10","key":"1431_CR26","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/s11538-021-00925-0","volume":"83","author":"T Phillips","year":"2021","unstructured":"Phillips T, Lenhart S, Strickland WC (2021) A data-driven mathematical model of the heroin and fentanyl epidemic in tennessee. Bull Math Biol 83(10):97","journal-title":"Bull Math Biol"},{"key":"1431_CR27","doi-asserted-by":"publisher","DOI":"10.3390\/ijerph19010022","author":"JM Rath","year":"2022","unstructured":"Rath JM, Perks SN, Vallone DM, Barton AA, Stephens DK, Simard B, Hair EC (2022) Educating young adults about opioid misuse: evidence from a mass media intervention. Int J Environ Res Public Health. https:\/\/doi.org\/10.3390\/ijerph19010022","journal-title":"Int J Environ Res Public Health"},{"issue":"2","key":"1431_CR28","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1093\/imammb\/dqab001","volume":"38","author":"SR Rivas","year":"2021","unstructured":"Rivas SR, Tessner AC, Goldwyn EE (2021) Calculating prescription rates and addiction probabilities for the four most commonly prescribed opioids and evaluating their impact on addiction using compartment modelling. Math Med Biol: J IMA 38(2):202\u2013217","journal-title":"Math Med Biol: J IMA"},{"issue":"1","key":"1431_CR29","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/S0038-0121(03)00029-6","volume":"38","author":"C Rossi","year":"2004","unstructured":"Rossi C (2004) Operational models for epidemics of problematic drug use: the mover-stayer approach to heterogeneity. Socioecon Plann Sci 38(1):73\u201390","journal-title":"Socioecon Plann Sci"},{"key":"1431_CR30","unstructured":"SAHMSA: Key Substance Use and Mental Health Indicators in the United States: Results from the 2020 National Survey on Drug Use and Health. https:\/\/www.samhsa.gov\/data\/sites\/default\/files\/reports\/rpt35325\/NSDUHFFRPDFWHTMLFiles2020\/2020NSDUHFFR102121.htm#taba-26b. [Online; accessed 14-December-2024] (2020)"},{"issue":"9","key":"1431_CR31","doi-asserted-by":"publisher","first-page":"940","DOI":"10.1001\/jama.2012.234","volume":"307","author":"KH Seal","year":"2012","unstructured":"Seal KH, Shi Y, Cohen G, Cohen BE, Maguen S, Krebs EE, Neylan TC (2012) Association of mental health disorders with prescription opioids and high-risk opioid use in us veterans of Iraq and afghanistan. JAMA 307(9):940\u2013947","journal-title":"JAMA"},{"issue":"4","key":"1431_CR32","doi-asserted-by":"publisher","first-page":"2017","DOI":"10.3390\/ijerph19042017","volume":"19","author":"W Wang","year":"2022","unstructured":"Wang W, Lu S, Tang H, Wang B, Sun C, Zheng P, Bai Y, Lu Z, Kang Y (2022) A scoping review of drug epidemic models. Int J Environ Res Public Health 19(4):2017","journal-title":"Int J Environ Res Public Health"},{"key":"1431_CR33","unstructured":"United States Census Bureau (2020) United States Census Results. https:\/\/www.census.gov\/programs-surveys\/decennial-census\/decade\/2020\/2020-census-results.html. [Online; accessed 3-December-2024]"},{"issue":"5","key":"1431_CR34","doi-asserted-by":"publisher","first-page":"1741","DOI":"10.1213\/ANE.0000000000002496","volume":"125","author":"LR Webster","year":"2017","unstructured":"Webster LR (2017) Risk factors for opioid-use disorder and overdose. Anesthesia Analgesia 125(5):1741\u20131748","journal-title":"Anesthesia Analgesia"},{"issue":"1","key":"1431_CR35","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1016\/j.mbs.2006.10.008","volume":"208","author":"E White","year":"2007","unstructured":"White E, Comiskey C (2007) Heroin epidemics, treatment and ode modelling. Math Biosci 208(1):312\u2013324","journal-title":"Math Biosci"},{"key":"1431_CR36","unstructured":"World Health Organization (2023) World Health Organization Model List of Essential Medicines. https:\/\/www.who.int\/publications\/i\/item\/WHO-MHP-HPS-EML-2023.02. [Online; accessed 19-April-2024]"}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-025-01431-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11538-025-01431-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-025-01431-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,23]],"date-time":"2025-04-23T11:00:44Z","timestamp":1745406044000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11538-025-01431-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,9]]},"references-count":36,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,5]]}},"alternative-id":["1431"],"URL":"https:\/\/doi.org\/10.1007\/s11538-025-01431-3","relation":{},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4,9]]},"assertion":[{"value":"26 July 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 February 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 April 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"66"}}