The Vicodin abuse problem: A mathematical approach

Wendy K. Caldwell, Benjamin Freedman, Luke Settles, Michael M. Thomas, Erika Camacho, Stephen Wirkus

Research output: Contribution to journalArticle

Abstract

The prescription drug epidemic in the United States has gained attention in recent years. Vicodin, along with its generic version, is the country's mostly widely prescribed pain reliever, and it contains a narcotic component that can lead to physical and chemical dependency. The majority of Vicodin abusers were first introduced via prescription, unlike other drugs which are often experienced for the first time due to experimentation. Most abusers report obtaining their supply from a prescription, either their own or someone else's. Although the problem with prescription drug abuse is well known, there is no standard method of addressing the problem. To better understand how to do this, we develop and analyze a mathematical model of Vicodin use and abuse, considering only those patients who were initially prescribed the drug. Through global sensitivity analysis, we show that focusing efforts on abuse prevention rather than treatment has greater success at reducing the population of Vicodin abusers. Our results demonstrate that relying solely on rehabilitation and other treatment programs is not enough to combat the prescription drug problem in the United States. We anticipate that implementing preventative measures in both prescribers and patients will reduce the number of Vicodin abusers.

Original languageEnglish (US)
Article number110003
JournalJournal of Theoretical Biology
Volume483
DOIs
StatePublished - Dec 21 2019

Fingerprint

Patient rehabilitation
Sensitivity analysis
Drugs
Prescription Drugs
Mathematical models
drugs
abuse prevention
Prescriptions
Prescription Drug Misuse
drug abuse
rehabilitation (people)
narcotics
Global Analysis
Narcotics
Rehabilitation
Pain
pain
mathematical models
Pharmaceutical Preparations
Experimentation

Keywords

  • Compartmental model
  • Prescription drug abuse
  • Sensitivity analysis
  • Vicodin abuse

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

The Vicodin abuse problem : A mathematical approach. / Caldwell, Wendy K.; Freedman, Benjamin; Settles, Luke; Thomas, Michael M.; Camacho, Erika; Wirkus, Stephen.

In: Journal of Theoretical Biology, Vol. 483, 110003, 21.12.2019.

Research output: Contribution to journalArticle

Caldwell, Wendy K. ; Freedman, Benjamin ; Settles, Luke ; Thomas, Michael M. ; Camacho, Erika ; Wirkus, Stephen. / The Vicodin abuse problem : A mathematical approach. In: Journal of Theoretical Biology. 2019 ; Vol. 483.
@article{5a37d3b6e0e0438383fb93a89cb06115,
title = "The Vicodin abuse problem: A mathematical approach",
abstract = "The prescription drug epidemic in the United States has gained attention in recent years. Vicodin, along with its generic version, is the country's mostly widely prescribed pain reliever, and it contains a narcotic component that can lead to physical and chemical dependency. The majority of Vicodin abusers were first introduced via prescription, unlike other drugs which are often experienced for the first time due to experimentation. Most abusers report obtaining their supply from a prescription, either their own or someone else's. Although the problem with prescription drug abuse is well known, there is no standard method of addressing the problem. To better understand how to do this, we develop and analyze a mathematical model of Vicodin use and abuse, considering only those patients who were initially prescribed the drug. Through global sensitivity analysis, we show that focusing efforts on abuse prevention rather than treatment has greater success at reducing the population of Vicodin abusers. Our results demonstrate that relying solely on rehabilitation and other treatment programs is not enough to combat the prescription drug problem in the United States. We anticipate that implementing preventative measures in both prescribers and patients will reduce the number of Vicodin abusers.",
keywords = "Compartmental model, Prescription drug abuse, Sensitivity analysis, Vicodin abuse",
author = "Caldwell, {Wendy K.} and Benjamin Freedman and Luke Settles and Thomas, {Michael M.} and Erika Camacho and Stephen Wirkus",
year = "2019",
month = "12",
day = "21",
doi = "10.1016/j.jtbi.2019.110003",
language = "English (US)",
volume = "483",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - The Vicodin abuse problem

T2 - A mathematical approach

AU - Caldwell, Wendy K.

AU - Freedman, Benjamin

AU - Settles, Luke

AU - Thomas, Michael M.

AU - Camacho, Erika

AU - Wirkus, Stephen

PY - 2019/12/21

Y1 - 2019/12/21

N2 - The prescription drug epidemic in the United States has gained attention in recent years. Vicodin, along with its generic version, is the country's mostly widely prescribed pain reliever, and it contains a narcotic component that can lead to physical and chemical dependency. The majority of Vicodin abusers were first introduced via prescription, unlike other drugs which are often experienced for the first time due to experimentation. Most abusers report obtaining their supply from a prescription, either their own or someone else's. Although the problem with prescription drug abuse is well known, there is no standard method of addressing the problem. To better understand how to do this, we develop and analyze a mathematical model of Vicodin use and abuse, considering only those patients who were initially prescribed the drug. Through global sensitivity analysis, we show that focusing efforts on abuse prevention rather than treatment has greater success at reducing the population of Vicodin abusers. Our results demonstrate that relying solely on rehabilitation and other treatment programs is not enough to combat the prescription drug problem in the United States. We anticipate that implementing preventative measures in both prescribers and patients will reduce the number of Vicodin abusers.

AB - The prescription drug epidemic in the United States has gained attention in recent years. Vicodin, along with its generic version, is the country's mostly widely prescribed pain reliever, and it contains a narcotic component that can lead to physical and chemical dependency. The majority of Vicodin abusers were first introduced via prescription, unlike other drugs which are often experienced for the first time due to experimentation. Most abusers report obtaining their supply from a prescription, either their own or someone else's. Although the problem with prescription drug abuse is well known, there is no standard method of addressing the problem. To better understand how to do this, we develop and analyze a mathematical model of Vicodin use and abuse, considering only those patients who were initially prescribed the drug. Through global sensitivity analysis, we show that focusing efforts on abuse prevention rather than treatment has greater success at reducing the population of Vicodin abusers. Our results demonstrate that relying solely on rehabilitation and other treatment programs is not enough to combat the prescription drug problem in the United States. We anticipate that implementing preventative measures in both prescribers and patients will reduce the number of Vicodin abusers.

KW - Compartmental model

KW - Prescription drug abuse

KW - Sensitivity analysis

KW - Vicodin abuse

UR - http://www.scopus.com/inward/record.url?scp=85072295081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072295081&partnerID=8YFLogxK

U2 - 10.1016/j.jtbi.2019.110003

DO - 10.1016/j.jtbi.2019.110003

M3 - Article

C2 - 31513802

AN - SCOPUS:85072295081

VL - 483

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

M1 - 110003

ER -