| Literature DB >> 28493917 |
Ruthie B Birger1,2, Thuy Le3, Roger D Kouyos4, Bryan T Grenfell1,5, Timothy B Hallett6.
Abstract
BACKGROUND: Human Immunodeficiency Virus (HIV) and Hepatitis C Virus (HCV) coinfection is a major global health problem especially among people who inject drugs (PWID), with significant clinical implications. Mathematical models have been used to great effect to shape HIV care, but few have been proposed for HIV/HCV.Entities:
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Year: 2017 PMID: 28493917 PMCID: PMC5426709 DOI: 10.1371/journal.pone.0177195
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Fig 1Diagram of model flows.
This figure shows a graphical representation of the model pathways. The model has a layer for each set of dynamics (PWID, HIV, HCV), and each layer is composed of compartments with flows between them. For example, in the PWID layer, individuals in the active user compartment move into the ex-PWID and Methadone Maintenance compartments at different rates. Each PWID compartment in turn is broken up into compartments for each disease stage, so the total number of compartments is number of PWID compartments multiplied by the number of HIV compartments multiplied by the number of HCV compartments. Full equations and descriptions can be found in Section 5 of S1 File.
Parameter values.
| Parameter Name | Description | Value | Range | Source | Comments |
|---|---|---|---|---|---|
| PWID parameters | |||||
| baseline death rate of PWID | 1/24.4 yr−1 | [.026, .064] | [ | ||
| baseline death rate of ex-PWID | 1/36 yr−1 | [ | average age of PWID 34; average male life expectancy in VN 70.2 years | ||
| Λ | excess recruitment rate of new PWID | 1.11 | [ | multiplier times growth rate based on | |
| dropout rate/year of PWID in MMT | 1/7.69 | [.05, .25] | [ | calculated by fitting to dropout data | |
| 1/duration of drug use career | 1/13 yr−1 | [ | |||
| 1/duration initial MMT phase | 1/2 yr−1 | ||||
| recruitment rate into MMT clinic | 0.003 yr−1 | [ | 1.3% PWID reached by MMT | ||
| reduction in risk among PWID entering MMT | 0.8 | [.4, .9] | [ | ||
| HIV parameters | |||||
| Progression rate from acute stage (1/duration) | 4 yr−1 | [ | |||
| Transmission-weighting of prevalence term by stage of infection | 25, 1, 7, .04 | [ | Primary, Asymptomatic, AIDS, Treated | ||
| 1/duration of each stage of infection, including CD4<200 to death | 1/2.3 yr−1 | [ | |||
| treatment rate those with CD4≥200 | .0021 yr−1 | [ | |||
| treatment rate those with CD4<200 | See Sections 1 and 7 in | [ | |||
| excess death-rate for Treated, early initiation (including 10% LTF) | 1/21 yr−1 | [ | |||
| excess death-rate for Treated, late initiation (including 10% LTF) | 1/13.4 yr−1 | [ | |||
| increase in treatment rates when linked into MMT | 2 | [1, 5] | [ | ||
| HCV parameters | |||||
| proportion of acutely infected individuals who clear infection | 0.25 | [.15, .4] | [ | ||
| proportion of acutely infected individuals who clear infection- HIV coinfected | 0.1 | .15-.5 | [ | ||
| proportion of cleared infections acquiring immunity | .1 | EO | |||
| proportion of cleared infections acquiring immunity- HIV coinfected | .01 | EO | |||
| 1/duration of Acute infection | 2 yr−1 | [ | |||
| progression rate through each stage of infection | .104 yr−1 | [.05, .125] | [ | ||
| acceleration of progression among HIV+ | 2 | [1.4, 3] | [ | ||
| additional death rate due to chronic liver disease | 1/4 yr−1 | [1/4, 1] | [ | ||
| HCV Treatment Efficacy | 90% | [87%, 93%] | [ |
† In 2009 and 2010, roughly 12% of people initiating ART had CD4≥200 [30]. Applying these percentages to number of people initiating ART in total for those years yields 1249 and 1297, out of an estimated 175510 and 176561 PLHIV with CD4≥200. A rough estimate of the rate is this.7%/year or roughly 1/20th of the rate at which PLHIV with CD4 <200 initiate ART.
EO = expert opinion
Fig 2Model fit to HIV and HCV prevalence.
This figure shows the range of model estimates for HIV (blue) and HCV (green) prevalence among PWID in the shaded regions, with the estimate from the best-fit parameter set represented by the dashed line. Data estimates and corresponding confidence intervals to which the model was calibrated are represented by circles and error bars.
Maximum likelihood estimates of fitted parameters.
| Name | Best Fit | Mean | Lower Bound | Upper Bound |
|---|---|---|---|---|
| 4.55E-05 | 8.84E-03 | 1.92E-122 | 2.00E-02 | |
| 1.74E-01 | 1.72E-01 | 1.51E-01 | 2.08E-01 | |
| 6.99E-01 | 7.92E-01 | 4.99E-01 | 1.00E+00 | |
| Initial HIV prevalence | 2.50E-02 | 1.29E-02 | 4.99E-107 | 2.50E-02 |
| 1.25E-01 | 2.23E-01 | 1.31E-02 | 5.00E-01 | |
| Post-ART parameters | ||||
| 5.46E-01 | 3.97E-01 | 5.88E-68 | 8.39E-01 | |
| 6.45E-01 | 6.56E-01 | 3.52E-01 | 1.00E+00 |
* The lower bound for β approaches zero because for some parameter sets, β is sufficient to explain HIV prevalence trends, while the lower bound for initial HIV prevalence approaches zero, because for some parameter sets, β is high enough to initiate the epidemic.
Fig 3ART scale-up: Incidence and deaths changes over time.
Each panel in this figure shows a plot of reductions in HIV and HCV incidence, prevalence or deaths with varying ART scale-up, with scale-up percentages representing the proportion of patients newly initiated on ART each year (See Sections 5 and 7 in S1 File for details).
Fig 4MMT scale-up: Incidence and deaths changes over time.
Each panel in this figure shows a plot of reductions in HIV and HCV incidence, prevalence or deaths with varying MMT scale-up with scale-up percentages representing the proportion of patients newly initiated on MMT each year (See Sections 5 and 7 in S1 File for details).
Fig 5ART and MMT scale-up: Reductions in deaths from disease over time.
Each bar in this figure shows a plot of reductions in deaths from disease 10 years after intervention scale-up with varying ART and MMT scale-up.
Fig 6HCV treatment: Reductions in deaths from disease over time.
Each panel in this figure shows a plot of reductions in deaths from disease 10 years after roll-out of HCV treatment coverage, with maximum previous scale up of ART and MMT coverage (80% and 50%).