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Table 1 Model parameters

From: Reducing overdose deaths among persons with opioid use disorder in connecticut

Parameter

Base case

Range

Source

Population

 

Number

  

People with opioid use disorder (POUD) in Connecticut

90,895

N/A

Krawczyk et al. 2022 [32]

Incarcerated POUD (baseline)

2748

N/A

Ferguson et al. 2019 [34]

 

Proportion

  

Previously incarcerated

0.14

N/A

Winkelman et al. 2018 [35], Krawczyk et al. 2022 [32]

Had a prior overdose

0.31

0.27–0.35

 

People who inject drugs 

  

Heimer et al. 2014 [38]

 Among never incarcerated

0.05

0.04–0.06

Expert opinion (CTDOC) + calibration adjustment

 Among ever incarcerated

0.3

0.24–0.36

Expert opinion (CTDOC)

Baseline MOUD in community

  

Expert opinion (CTDOC)

  +MOUD ± remission

0.17

0.1–0.4

Expert opinion (CTDOC)

  −MOUD −remission

0.63

Complement

 

  −MOUD +remissiona

0.2

0.13–0.43

Expert opinion (CTDPH)

Baseline naloxone access in community

  Own naloxone in community

0.03

0.02–0.04

Freeman 2018 [39]

  Distribution of naloxone kits in community

  

Freeman 2018

    Intranasal

0.8

Complement

 

    Intramuscular

0.2

0.16–0.24

 

Transition rates (annual)b

Community-to-community (baseline relapse risk period/ > 1 mo post-release)

 +MOUD +remission → −MOUD −remissionc

0.13–0.33e

  

Rate ratio for relapse during 1-month post-release

10

  

   +MOUD +remission → −MOUD +remission

0.16–0.31f

 

See appendix for multiple references

  −MOUD +remission → −MOUD −remission

0.01

0.01–0.15

 

  −MOUD +remission → +MOUD +remission

0.29

0.07–0.72

 

  −MOUD −remission → +MOUD +remission d

0.34

0.12–0.35

 

  −MOUD −remission → −MOUD +remission

1.07

0.17–1.16

 

  −MOUD −remission → overdose

  PWID no prior overdose

1.8

1.4–2.2

Coffin 2013 (For high propensity to relapse group, +MOUD −remission + →MOUD +remission, use same values)

  PWID with prior overdose

5.6

2.8–6.7

Coffin 2013

  Non-PWID no prior overdose

0.03

0.02–0.04

Coffin 2013

  Non-PWID with prior overdose

0.11

0.09–0.13

Coffin 2013

Naloxone acquisition in community (annual)

In an SSP

0.51

 

Expert opinion (CTHRA) & CT DMHAS

Non-SSP

0.1

  

Probabilities (one-time)

Community-to-incarceration

   +MOUD +remission → −MOUD +remission g

0.57

 

See appendix for multiple references

   +MOUD +remission → +MOUD +remission h

0.43

[N/A exogeneous policy setting]

 

  −MOUD +remission → +MOUD +remission

0.01

  

  −MOUD +remission → −MOUD +remission

0.99

  

  −MOUD −remission → +MOUD +remission

0.3

  

  −MOUD −remission → −MOUD +remission

0.7

  

Incarceration (SI or LI)-to-community

  +MOUD +remission → −MOUD +remission

0.17–0.21j

0.06–0.3

See appendix for multiple references

  +MOUD +remission → −MOUD −remission

0.30–0.38k

Complement

 

  +MOUD +remission → −MOUD −remission

0.40–0.53l

0.2–0.73

 

  −MOUD +remission → −MOUD +remission

0.15

Complement

 

  −MOUD +remission → −MOUD −remission

0.54

0.21–0.41

 

  −MOUD +remission → +MOUD +remission i

0.31

  

Overdose → overdose death (without naloxone or EMS)

0.10

0.06–0.22

 

Overdose being witnessed

  PWID

0.79

0.55–0.90

 

  Non-PWID

0.79

0.55–0.90

 

EMS called

0.6

0.58–0.62

 

Intervention effectsm

MOUD on OD prevention, community concurrent usersn,o

RR 0.62

0.41–0.92

Larochelle et al. 2018[36]

Naloxone on ODD prevention

RR 0.92

0.8–0.97

Coffin 2013[8]

Emergency medical services called on ODD prevention

RR 0.92

0.8–0.97

Coffin 2013 [8]

Utilities

−MOUD +remission

0.82

0.67–0.97

Rhee 2019 [40]

Decrement in utility due to –MOUD −remission

0.09

0–0.38

Rhee 2019

Decrement in utility due to Incarceration

0.06

0–0.18

Chong 2009 [41]

Cost (2021 USD)

Incarceration, annual

$42,837

28,558–64,256

CTDOC

Naloxone, per dose

  IM

$15

Oct-23

Rosenberg 2018 [42]

  IN

$60

40–90

 

MOUD, annual

  Incarceration

$7630r

5081–51017

CTDOC [cost table]

  Community

$4099s

1396–29,186

Expert opinion, Murphy 2019, [43] Clemans-Cope 2020 [44]

Crime, annualp

$68,302

45,535–102,453

Krebs 2016 [45]

Productivity loss, annual q

$32,427

21,618–48,641

BLS 2023[46]/expert opinion

Emergency medical services dispatch

$1638

1092–2457

Larimer 2009 [47]

Admittance to emergency department

$4652

3101–6978

Mallow 2018 [48]

  1. aAsymptotes towards 50% above age 50
  2. bIn the community, only those who have a low propensity for relapse can transition to three states (−MOUD +remission, +MOUD +remission, −MOUD −remission). Those who have a high propensity for relapse can transition between two states only (−MOUD −remission, +MOUD −remission)
  3. cFor high propensity to relapse group, +MOUD −remission → −MOUD −remission, use same values
  4. dFor high propensity to relapse group, −MOUD -remission → +MOUD –remission, use same values
  5. eSee appendix for MOUD type-specific values
  6. fSee appendix for MOUD type-specific values
  7. gFor high propensity to relapse group, +MOUD −remission → −MOUD +remission, use same values
  8. hFor high propensity to relapse group, +MOUD −remission → +MOUD +remission, use same values
  9. iFor high propensity to relapse group, −MOUD +remission → +MOUD −remission, use same values
  10. jSee appendix for MOUD type-specific values
  11. kSee appendix for MOUD type-specific values
  12. lSee appendix for MOUD type-specific values
  13. mRR: risk ratio
  14. nMethadone includes 4-week induction period (Sordo et al 2017)
  15. oApplied to the “−MOUD −remission → overdose” rates
  16. pApplied to −MOUD remission individuals only
  17. qApplied to incarcerated or −MOUD −remission individuals only
  18. rWeighted average of methadone, buprenorphine-naloxone, XR-naltrexone and XR-buprenorphine. See appendix for MOUD type-specific values
  19. sWeighted average of methadone, buprenorphine-naloxone, XR-naltrexone and XR-buprenorphine. See appendix for MOUD type-specific values