| Literature DB >> 30252843 |
Ben S Cooper1,2, Lisa J White1,2, Ruby Siddiqui3.
Abstract
BACKGROUND: Hepatitis E Virus (HEV) is the leading cause of acute viral hepatitis globally. Symptomatic infection is associated with case fatality rates of ~20% in pregnant women and it is estimated to account for ~10,000 annual pregnancy-related deaths in southern Asia alone. Recently, large and well-documented outbreaks with high mortality have occurred in displaced population camps in Sudan, Uganda and South Sudan. However, the epidemiology of HEV is poorly defined, and the value of different immunisation strategies in outbreak settings uncertain. We aimed to estimate the critical epidemiological parameters for HEV and to evaluate the potential impact of both reactive vaccination (initiated in response to an epidemic) and pre-emptive vaccination.Entities:
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Year: 2018 PMID: 30252843 PMCID: PMC6173446 DOI: 10.1371/journal.pntd.0006807
Source DB: PubMed Journal: PLoS Negl Trop Dis ISSN: 1935-2727
Fig 1Flow diagrams for the models considered in the analysis.
Model compartments are indicated by boxed letters and transitions between compartments are shown by solid lines. Broken lines indicate how variables affect transition rates. In our baseline model (Model 1) individuals were assumed to be in one for four possible states: susceptible to infection (S); latently infected but not yet infectious (E); infectious (I); and recovered and immune (R). Extensions of this model are made to: i) allow for rates of patient-to-patient transmission to be affected by the water and sanitation intervention, specified by external data giving either the presence/absence of the intervention at each time point or water sources (taps) per person (Model 2, S1 Fig); ii) to allow for different implicit distributions for time periods in latent and infectious compartments (Models 3–5, where in model 5 we allow for different rates of transmission from patients in early and late infectious compartments, I1 and I2); iii) to allow for the existence of a saturating environmental reservoir (Model 6). Extending these models to account for vaccination would correspond to adding a new solid arrow from the S to the R compartment in each of the models (vaccination is assumed to have no impact on those already infected).
Model priors.
| Parameter | Models | Prior | Notes |
|---|---|---|---|
| Basic reproduction number, | Model 1 | Uniform(1,100) | No previous estimates were available to inform a prior, though we can be sure that |
| Transmission parameter, | Models 2–6 | Uniform(0.0001,500) | Very similar results were obtained whether using a uniform distribution or a diffuse Gamma distribution with shape and rate 0.001. |
| Rate of leaving latent compartment,γ | All except Model 3 | Gamma with | Informative prior derived using the fact that the Gamma distribution is a conjugate prior for an exponential model. It is informed by the single observation of a latent period of 34 days (from Chauhan |
| Rate of leaving infectious compartment, | All except Models 1b, 4 and 5 | Gamma with | Informative prior derived using the fact that the Gamma distribution is a conjugate prior for an exponential model. It is informed by data from Takahashi et al (2007)[ |
| Proportion of people who are infected who are reported as cases, π | All | Beta(2, 8) | The prior chosen corresponds to the posterior that would be obtained using Beta-binomial conjugacy if 1 out of 8 people infected were known to have been reported as cases (starting with a vague Beta(1,1) prior). This was informed by a seroprevalence study at Madi Opei towards the end of the outbreak where, assuming no prior immunity, about 1 in 7.5 of those infected were reported as cases [ |
| Negative binomial dispersion parameter (see model fitting section in Methods) | All | Uniform(0.1,10000) | No prior information |
| Time of first infection | All | Uniform (but constrained to be before the first case) | No prior information |
| Rate of contamination of saturating environment per infected host, | Model 6 | Uniform(0.0001,1) | No information, but for values higher than 1 saturation is too fast to be plausible |
| Rate of loss of contamination from environmental reservoir, υ | Model 6 | w1: Gamma with shape = 5.245, scale = 34.795 | A wide range of priors were considered, consistent with observations of persistence of HEV in soil [ |
| Initial proportion of transmission that occurs via contamination of the saturating environmental reservoir | Model 6 | p1: Beta(4.24, 80.51) | Prior p1 corresponds to a mean (95% equal-tailed interval) of 0.05 (0.015, 0.105); p2 to 0.25 (0.12, 0.41); p3 to 0.5 (0.35, 0.65); p4 to 0.75 (0.59,0.88); p5 to 0.95 (0.90, 1.00). |
| Proportion of transmission occurring in the first part of the infectious period | Model 5 | Beta(1,1) | Non-informative prior reflects lack of information. |
Time units are in years.
Assumptions used for evaluation of vaccination policies.
| Assumption | Notes | |
|---|---|---|
| Vaccine effectiveness (1 dose) | 0 | No data available |
| Vaccine effectiveness, 2 doses mean (95% CrI) | 80.2% (16.4%, 99.6%) | Derived from Zhu et al. 2010 [ |
| Vaccine effectiveness (3 doses) | 93.3% (74.3%, 99.8%) | Derived from Zhu et al. 2010 [ |
| Time from first to second dose | 4 weeks | Zhu et al. 2010 [ |
| Time from second to third dose (if given) | 22 weeks | Zhu et al. 2010 [ |
| Proportion of groups targeted to receive vaccine who get 1st two doses | 90% | Assumption based on experience at other camps for displaced persons |
| Proportion of groups targeted to receive vaccine who get 3rd dose (if given) | 90% | As above |
| Time from vaccination to resulting immunity (if effective) | Two weeks | Immunity assumed to be generated instantaneously two weeks after second dose and two weeks after third dose |
| Number of reported cases before reactive vaccination starts | 50 or 100 | Assumption |
| Percentage of population pregnant | 3% | United Nations data |
| Proportion of population aged ≥ 15 years | 51% | United Nations data |
| Proportion of population aged > 65 years | 2% | United Nations data |
| Probability of symptomatic illness given infection | 0.20 (0.17, 0.23) | Rein et al 2010 [ |
| Probability of death given symptomatic infection if not pregnant | 0.019 (0.017, 0.021) | Rein et al 2010 [ |
| Probability of death given symptomatic infection if not pregnant | 0.20 (0.17, 0.23) | Rein et al 2010 [ |
a United Nations, Department of Economic and Social Affairs, Population Division (2015). World Population Prospects: The 2015 Revision, custom data acquired via website (https://esa.un.org/unpd/wpp/DataQuery)
Fig 2Observed and predicted hepatitis E cases.
Observed weekly cases (circles) and expected weekly cases at the three sites based on the baseline transmission model (solid line) and 95% Credible Intervals for the mean (shaded coloured region) and for the predicted number of cases (shaded grey region). Week number 1 corresponds to the first week of 2007. Times when the first, second and third vaccine doses would have been given under reactive vaccination strategies triggered by 50 or 100 cumulative cases are shown by open and closed triangles respectively.
Fig 3Prior and posterior distributions for key epidemiological parameters.
Estimates are derived using the baseline SEIR model with informative priors: the mean latent period, the mean infectious period and the proportion symptomatic (top row) are assumed to share the same distributions at the three camps. Posterior distributions of the basic reproduction number (R0) are allowed to vary by camp (bottom row).
Results for models 1–5 (no saturating environmental reservoir).
| Model 1a: SEIR | Model 1b: SEIR | Model 2a: | Model 2b: | Model 3: | Model 4: | Model 5: | |
|---|---|---|---|---|---|---|---|
| Parameter | Posterior median (95% CrI) | ||||||
| Mean latent period (days) | 34.4 (28.8, 38.8) | 31.7 (24.7, 37.8) | 36.3 (31.8, 40.2) | 34.3 (28.6, 38.9) | 19.1 (10.4, 34.2) | 34.1 (30.8, 37.3) | 31.3 (11.8, 37.0) |
| Mean infectious period (days) | 35.9 (20.9, 64.4) | 16.3 (4.3, 62.8) | 31.5 (20.0, 52.5) | 35.7 (21.8,61.5) | 33.6 (28.4, 38.0) | 27.3 (20.9, 36.6) | 31.4 (22.3, 49.6) |
| Infections reported (%) | 12.5 (11.4, 13.6) | 12.9 (11.7, 14.4) | 12.4 (11.4, 13.5) | 12.3 (11.3, 13.5) | 12.4 (11.3,13.7) | 12.3 (11.3, 13.5) | 12.3 (11.2, 13.5) |
| R0 Agoro | 6.5 (4.5, 9.9) | 4.3 (2.8, 9.9) | 5.5 (4.1, 8.3) | 6.7 (4.6, 9.7) | 5.3 (3.6, 8.6) | 5.9 (4.5, 7.9) | 5.8 (3.8, 9.3) |
| Day 1st infection Agoro | 278 (257, 298) | 288 (262, 309) | 263 (225, 231) | 279 (258, 298) | 270 (245, 292) | 281 (268, 293) | 271 (246, 292) |
| Dispersion parameter | 7.3 (4.9, 11.0) | 7.3 (4.9, 10.9) | 7.0 (4.6, 10.6) | 6.7 (4.5, 10.0) | 6.4 (4.1, 9.9) | 6.3 (4.2, 9.3) | 6.3 (4.2, 9.4) |
| WATSAN effect Agoro | - | - | 1.5 (0.9,2.5) | 1.00 (0.82,1.22) | - | - | - |
| WATSAN effect Madi Opei | - | - | 2.7 (0.6, 11.5) | 1.07 (0.89, 1.27) | - | - | - |
| WATSAN effect Paloga | - | - | 0.9 (0.001, 2063) | 0.99 (0.81, 1.20) | - | - | - |
| Proportion of transmission in 1st infectious period | - | - | - | - | - | - | 0.56 (0.04, 0.98) |
| Number of parameters estimated | 10 | 10 | 13 | 13 | 10 | 10 | 11 |
| DIC | 1140 | 1140 | 1163 | 1160 | 1165 | 1145 | 1167 |
1 In model 2a the WATSAN effect reported is the estimate of ratio of the per capita transmission rate in post-WATSAN intervention period compared to that in the pre-intervention period (so values less than one indicate reduced transmission post WATSAN intervention). In model 2b the estimated effect represents the rate ratio associated with a one-unit increase in the estimated number of drinking water sources per 1000 people. In both models R0 values reported assume no effect of the WATSAN intervention.
2 Deviance Information Criterion (lower values indicate better fit). Here the DIC is calculated as , where is the mean posterior deviance and p is var(D/2) which is an estimate of the effective number of parameters (Gelman et al 2004 [31]).
Selected results for model 6 (saturating environmental reservoir).
| Model 6: | Model 6: | Model 6: | Model 6: | Model 6: | |
|---|---|---|---|---|---|
| Prior for | w3 | w3 | w3 | w4 | w5 |
| Prior for initial proportion of transmission that occurs via contamination of the saturating environmental reservoir | p3 | p4 | p5 | p5 | p5 |
| Parameter | Posterior median (95% CrI) | ||||
| Mean latent period (days) | 31.2 (22.2, 37.3) | 31.9 (24.0, 37.6) | 32.8 (20.8, 38.7) | 33.0 (22.8, 38.7) | 33.2 (24.9, 38.6) |
| Mean infectious period (days) | 36.2 (22.8, 62.3) | 44.5 (25.3, 79.9) | 36.2 (21.0, 68.4) | 35.5(21.2, 68.7) | 38.5 (21.2, 84.1) |
| Infections reported (%) | 12.2 (11.2, 13.4) | 12.1 (11.1, 13.2) | 12.2 (11.2, 13.4) | 12.2 (11.1, 13.4) | 12.2 (11.1, 13.3) |
| R0 direct camp 1 | 5.3 (3.5, 8.3) | 5.3 (2.1, 8.8) | 0.8 (0.3, 2.4) | 1.0 (0.3, 2.6) | 1.7 (0.6, 6.9) |
| R0 indirect camp 1 | 4.9 (2.4, 10.3) | 11.2 (4.8, 29.6) | 12.8 (7.1, 30.3) | 16.2 (9.9, 29.7) | 25.9 (15.1, 74.2) |
| Mean duration virus remains viable in environment (days) | 15.7 (7.9, 35.7) | 19.5 (9.0, 46.6) | 17.9 (8.3, 47.4) | 29.2 (22.3, 39.4) | 58.8 (44.6, 78.4) |
| Rate of contamination of saturating environment per infected hosts | 0.18 (0.02, 0.90) | 0.08 (0.005, 0.89) | 0.01 (0.001, 0.02) | 0.01 (0.002, 0.02) | 0.01 (0.002, 0.15) |
| Day 1st infection Agoro | 302 (280, 321) | 308 (279, 333) | 294 (264, 317) | 295 (265, 316) | 295 (268, 321) |
| Dispersion parameter | 6.7 (4.5, 9.9) | 6.5 (4.4, 9.7) | 6.3 (4.2, 9.4) | 6.3 (4.2, 9.2) | 6.3 (4.2, 9.3) |
| DIC | 1162 | 1167 | 1160 | 1160 | 1162 |
1See Table 1 for definitions of priors.
2 Deviance Information Criterion (lower values indicate better fit). See Table 3 footnote for details.
Fig 4Percentage of hepatitis E cases, deaths and deaths of pregnant women prevented by different vaccination strategies.
Estimates are derived using posterior distributions of model parameters obtained by fitting the baseline model with weakly informative priors to data from Agoro. Boxplots show the median (central bar), interquartile range (extent of coloured box) and 5th and 95th percentiles (whiskers).