IJE Advance Access originally published online on January 11, 2007
International Journal of Epidemiology 2007 36(2):396-405; doi:10.1093/ije/dyl276
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Modelling the impact on Hepatitis C transmission of reducing syringe sharing: London case study
1 HIVTools Research Group, London School of Hygiene and Tropical Medicine, London, UK.
2 Centre for Research on Drugs and Health Behaviour, London School of Hygiene and Tropical Medicine, London, UK
3 Social Medicine, University of Bristol, Bristol, UK
4 Medical Research Council, London, UK
* Corresponding author: Department of Public Health and Policy, London School of Hygiene and Tropical Medicine, Keppel Street, London WC1E 7HT, UK. E-mail: peter.vickerman{at}lshtm.ac.uk
| Abstract |
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Background Hepatitis C virus (HCV) prevalence and incidence among injecting drug users (IDUs) has increased in London and rest of UK. To inform public health action, mathematical modelling is used to explore the possible impact of strategies to decrease syringe sharing.
Methods A mathematical model was developed to simulate HCV transmission amongst IDUs in London. Because of parameter uncertainty, numerical search algorithms were used to obtain different model fits to HCV seroprevalence data from London for 200203. These simulations were used to explore the likely impact of HCV prevention activities that reduce syringe sharing amongst all IDUs, IDUs that have injected for greater than one year, or IDUs with lower or higher frequencies of syringe sharing.
Results Key differences between model fits centred on how they simulated the high HCV incidence amongst new injectors, either through assuming increased HCV infectivity during acute infection, a large sub-group of high frequency syringe sharers, or increased sharing among new IDUs. Despite parameter uncertainty, the model projections suggest that modest reductions in syringe sharing frequency (<25%) will reduce the HCV seroprevalence in newly initiated IDUs (injecting less than four years) but much larger and sustained reductions (>50%) are required to reduce the HCV seroprevalence in long-term IDUs (injecting more than 8 years). Critically the model also suggested that large reductions in HCV seroprevalence will be achieved only if interventions target all IDUs and reach IDUs within 12 months of injecting.
Discussion Public health interventions must reduce syringe sharing amongst all IDUs, including newly initiated IDUs, and be sustained for many years to reduce HCV infection. More accurate data on key behavioural (sharing frequency) and biological (percentage of infected IDUs that clear infection) parameters is required to improve model projections.
Keywords Hepatitis C, modelling, injecting drug use, UK
Accepted 10 November 2006
| Introduction |
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World wide, 170 million people are estimated to be infected with Hepatitis C (HCV) virus, while 9 million are thought to be infected in Europe.1,2 HCV can be easily transmitted through blood products and infected syringes,36 and infection rates are typically high amongst IDUs.79 HCV infection is an important public health concern because the majority of infections do not resolve but lead to chronic infection.1017 After 30 years, approximately 30% of the people chronically infected with HCV develop cirrhosis of the liver and once cirrhosis has developed 14% of individuals per year progress to liver cancer (hepatocellular carcinoma) which often leads to death.18
In the UK, and other countries that have safe blood supplies and low iatrogenic risk, the prevention of HCV depends largely on reducing transmission among injecting drug users (IDUs). Indeed, the population burden of HCV is closely related to the number of people with an injecting history. In the UK, there are an estimated 200 000500 000 people infected with HCV, over 90% of diagnoses are attributable to IDU,19 and over 40% of the current IDU population are HCV antibody-positive.19,20 The annual cost of treatment or care for individuals with chronic HCV infection are currently estimated to be
750 million for the European Union and
100 million for the UK.21 This highlights the importance of prevention interventions, especially considering the number of hepatocellular and carcinoma deaths that are projected to increase.22,23
Syringe distribution and other interventions seeking to reduce syringe sharing are the main strategies for preventing the transmission of blood-borne viruses amongst IDUs.24 However, although syringe exchange interventions and the provision of methadone are associated with reduced HIV transmission,2527 the evidence of their impact on HCV transmission is modest.2831 Indeed, evidence suggests that current prevention strategies are insufficient in London and elsewhere in the UK because HCV and HIV transmission among IDUs are increasing.19,3234
Clearly, the size of the problem and the serious long-term consequences make HCV an important public health concern.3537 In this analysis, we develop a mathematical model for simulating the transmission of HCV. The model is fitted to HCV antibody prevalence (sero-prevalence) data from London, UK, for 200203 in order to explore the nature of HCV transmission in this setting, and to determine the possible impact of prevention activities that reduce the frequency of syringe sharing amongst IDUs. The model is built on previous studies that have developed mathematical models of the epidemiology of HCV,38,39 or have estimated the impact of harm reduction interventions on HCV transmission,38,40 in order to inform policy-makers and public health action.
| Methods |
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The analysis involved several steps. First, a HCV model was developed based on data available in the literature. Then, because of uncertainty in key biological and behavioural parameters, the model was fit in a staged process to HCV sero-prevalence data from London (200203). The different model fits were then used as a baseline comparison that could be used to estimate the potential impact of reductions in sharing behaviour on HCV transmission.
Model structure
The initial form of the model is an adaptation of a model developed by Kretzschmar and Wiessing,39 modified to allow for two types of acute infection, one leading to chronic infection and the other leading to resolved infection (allows for differences in viraemia during acute phase). Appendix 1 shows the flow diagram for the model.
The model simulates the transmission of HCV in a cohort of IDUs that start injecting at the same point in time. It assumes all new IDUs are susceptible and simulates the dynamics of infection over their duration of injecting a. Susceptible IDUs (x) are infected at a per capita rate
through the use of infected syringes.3 Some epidemiological studies report an association between HCV infection and sharing of paraphernalia.46 However, this was not explicitly included in the model due to a lack of data on both the transmission probability and frequency of paraphernalia sharing. Sexual risk is assumed to be low.4143 All newly infected IDUs become HCV RNA-positive (active infection) and progress to a phase of acute infection (duration 1/
) which lasts for 624 weeks,16,4446 during which individuals usually develop an antibody response (anti-HCV-positive)11,13,1517,44 and may have elevated viraemia16,17,44 and so could be more infectious. Acute infecteds are divided into those that resolve their infection (proportion
) after the acute phase (h2)10,13,17 or progress to chronic infection (h1). Chronic infecteds (y) are assumed to remain infected (HCV RNA-positive) and anti-HCV-positive until death. IDUs that resolve their infection are assumed to become HCV RNA-negative, immune for life4652 and are initially anti-HCV-positive (z1), but may lose their antibody response (serorevert z2) after an average duration 1/
.51,5355
The corresponding differential equations for the initial version of the model are as follows:
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| (1) |
i is the same as the average probability per unit time that a susceptible IDU in syringe-sharing group i becomes infected with HCV, and is dependent on the number of IDUs in the acute and chronic phase of HCV infection, the probability of HCV transmission per syringe-sharing incident for each phase of infection, and the syringe-sharing behaviour of the IDU. The parameter
i is assumed to be zero for IDUs that do not syringe share (i = 0).
If an IDU has mi syringe-sharing partners per unit time then
i is the sum of the probabilities that the IDU will get infected from any of these partners. For each of these syringe-sharing partners, there is a certain probability that they will be a low or high syringe-sharer (
ij, where i and j denote the syringe-sharing sub-group of the IDU and their partner, respectively), which then determines the probability that their partner will be in the acute or chronic phase of infection, and the probability of being infected by this IDU per unit time (Bk). This gives the following formulation for
i (for i = 1 or 2):
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| (2) |
ij that a particular syringe-sharing partner is a low- (j = 1) or high- (j = 2) frequency syringe sharer is calculated using a standard method,56 by estimating the proportion of all syringe-sharing partners provided by that syringe-sharing sub-group and weighing it by a parameter
that denotes the degree of assortative mixing (
= 0 for random mixing and 1 for fully assortative):
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| (3) |
ij is the dirac-delta function, and equals one if i = j and zero otherwise. Lastly, the model allowed recently initiated new injectors (IDUs injecting for less than one year) to have a higher frequency of syringe sharing (mi is scaled up by a factor
) and to share partly with older injectors (with a greater HCV seroprevalence). This heterogeneity was incorporated as a possible reason for the high HCV incidence observed amongst new IDUs in London, and because other studies have reported similar behaviours amongst recently initiated IDUs.57,58
Parameterizing the model
The model was parameterized using data from a number of sources, and these are shown in Table 1 with their uncertainty bounds. HCV seroprevalence data (based on oral fluid tests which have over 90% sensitivity and 99% specificity for HCV antibody59) against duration of injecting was obtained from a prospective cohort study and routine surveillance data from London for 200203.19,32,60 The cohort study recruited over 400 IDUs from community settings and networks; and routine surveillance data were available on over 1000 IDUs recruited from specialist drug treatment and syringe exchange agencies. All IDUs reported injecting in the last 4 weeks before recruitment, and completed an injecting risk questionnaire. These studies are the key source of data on HCV prevalence in London, and contribute to surveillance in the UK.
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Unfortunately, no direct data were available on the frequency with which IDUs share, and so a proxy estimate was generated based on the estimated shortfall between the injection frequency, the number of syringes distributed and average syringe re-use.61,62 This estimate was used as the overall average syringe- sharing rate amongst all syringe sharers, and was kept constant in the fitting process. There was also no data on the number of people IDUs share with per month and so the Bk terms in equation (2) were expanded to obtain the product of n and mi (the total syringe- sharing frequency in different syringe- sharing groups) in the formulation of
i. Data on other important aspects of IDU risk behaviour were also lacking, and so were given large uncertainty bounds, such as the degree of mixing between IDUs with different sharing rates (
); the proportion of IDUs with different sharing frequencies; the percentage of new IDUs that share with older IDUs; and the degree to which new IDUs share with a higher frequency than older IDUs (
). The rate of leaving the population (µ) was assumed to be 10% per year.63 Estimates for the HCV biological parameters were obtained from the scientific literature. However, several biological parameters were uncertain, such as the proportion of infected IDUs that resolve their infection.1017 In addition, the HCV transmission probability per needle- sharing act (110%) was estimated by multiplying the HIV transmission probability per IDU syringe-sharing act (0.632.4%)64,65 by the factor difference between the HCV transmission probability following needle-stick injury (0.319%)3,66 and the corresponding HIV needle- stick transmission probability (0.25%, 95% CI 0.010.49%).67 Because of the large degree of uncertainty in this parameter, any uncertainty in the frequency of syringe sharing was also assumed to be accounted for in this parameter.
Methods for modelling the transmission of HCV in London
The model simulates the transmission of HCV against duration of injecting and was fitted to cross-sectional epidemiological data on HCV sero-prevalence from London for 200203.19,60 No single best fitting model simulation could be determined because of the large degree of uncertainty present in the model parameters. Therefore, a numerical search algorithm was used to find different possible model fits from different starting points in the parameter uncertainty space.68 The model fitting process had a number of stages.
First, random sampling was used to obtain 1000 model parameter sets from the uncertainty ranges for each parameter.69 Second, using quarter monthly time steps the model was run with each parameter set, and the chi-squared error between each simulation and the epidemiological data was calculated and ranked.70 Third, the 20 best fitting parameter sets were used as starting points for using a numerical optimization algorithm (Newton's method used in the Solver tool of Excel) to find local optima that minimize the chi-square error. Fourth, the process was replicated for 10 additional model parameter sets sampled randomly from the remaining 980 simulations of the uncertainty analysis, thus generating 30 best-fits of the model to the cross-sectional HCV seroprevalence data. Fifth, the best-fits from this analysis were grouped together into classes with similar characteristics as defined by their parameter values. Finally, the model simulation with the smallest chi-squared error from each of these model types was selected for the following analyses.
Impact of decreasing syringe sharing on transmission of HCV
The model simulations were used to explore the likely impact of specific decreases in syringe sharing on HCV seroprevalence. The model was used to explore the effect of reduction in syringe-sharing amongst: all IDUs, IDUs injecting for greater than one year and IDUs with lower- or higher-frequencies of syringe-sharing.
| Results |
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Figure 1 shows that the best-fit model simulation and the lower and upper bounds of the other 30 best-fits accurately project the observed HCV sero-prevalence in London for 200203. Critically, HCV sero-prevalence increases rapidly among recent IDUs with over 20% infected within 2 years of injecting.
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Four classes of model type (AD) were identified with the following common attributes: no change in the transmission probability during acute infection amongst those IDUs that resolve infection; a very low proportion (<4%) of new IDUs sharing with older IDUs; 60% or more of IDUs sharing syringes; IDUs mainly sharing syringes with IDUs with similar sharing rates; and IDU sub-groups with low- and high-frequencies of syringe sharing. The key differences between the model types was in how they simulated the high incidence of HCV infection observed amongst new injectors. One of the following combinations was required: a large sub-group of high-frequency syringe sharers either with a low (class C) or high proportion that resolve infection (class A); or a smaller sub-group of high-frequency syringe sharers and either new IDUs have a higher sharing rate (class B) or acute infected individuals have an increased HCV transmission probability before they progress to chronic infection (class D). Although they all closely fitted the observed data, projecting the same HCV sero-prevalence for IDUs injecting for less than eight years (
44%), they give different projections for the proportion of IDUs that are actively infected (RNA-positive) or have resolved their infection (RNA-negative and immune), ranging from 25% to 35% and 725%, respectively. Table 2 shows the precise differences in the parameter values and summary projections for the different model types.
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For the following analyses, we have focused on the best-fits for class A, B and C, as D gave similar projections to A.
Impact of decreasing syringe sharing in all IDUs
Figure 2 shows the impact of decreasing syringe-sharing amongst all IDUs on HCV seroprevalence for models A and B (model C projections are similar to A). First, the figure shows that for model A, a modest decrease in syringe sharing will result in a notable decrease in HCV seroprevalence amongst IDUs that have been injecting for 1 year. In contrast, for model B, which assumes a small sub-group of higher frequency syringe sharers, a much greater decrease in syringe sharing is required to decrease the HCV seroprevalence. Amongst IDUs who have been injecting for 4 years, relatively modest decreases in syringe sharing result in reductions in HCV seroprevalence in both models. However, amongst IDUs that have been injecting for longer, more substantial decreases in syringe sharing, up to 2550%, are required to achieve notable decreases in HCV sero-prevalence. For example, amongst IDUs that have been injecting for 8 years, syringe sharing has to decrease by at least 25%, from 16 to 12 receptive syringe-shares per month, for any decrease in HCV sero-prevalence to occur. Lastly, to reduce HCV seroprevalence to <10% amongst all IDUs that have been injecting for
8 years, the rate of syringe sharing has to decrease to about 12 times a month (see Figure 3 for these projections). Furthermore, any projected reductions in HCV seroprevalence assume that the reduction in syringe sharing is sustained over an IDU's injecting life course, i.e. for at least 8 years for these projections.
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The importance of reaching all injectors
Figure 3 compares the relative impact on HCV infection of reducing syringe sharing amongst all IDUs or only amongst IDUs who have been injecting for >1 year. The model projections suggest that HCV seroprevalence can be reduced even with moderate reductions in sharing. However, as syringe sharing is reduced further all the models predict a substantial reduction in impact if the intervention fails to reduce sharing amongst new injectors. For example, if the frequency of syringe sharing is reduced by 75%, to an estimated four sharing events per month, the HCV sero-prevalence would reduce to 1322% (amongst IDUs injecting for
8 years) if all IDUs were reached, whereas it would only reduce to 2529% if recent IDUs were missed. Model B projects a much greater decrease in HCV sero-prevalence when all IDUs are reached because the model's increased frequency of syringe sharing amongst new injectors initiates the HCV epidemic amongst the lower frequency syringe sharing IDUs, and so reducing syringe sharing in this period has a larger effect on the projected epidemic than for the other models.
Impact of decreasing syringe sharing in low- or high-frequency syringe-sharing IDUs
Figure 4 compares the impact of targeting higher frequency or lower frequency syringe sharers and shows that the impact of moderate decreases in syringe sharing is much greater if it is achieved in the low-frequency syringe sharing IDUs than if it was achieved in the higher frequency syringe sharing IDUs. Indeed, unless substantial decreases in sharing can be achieved in the higher frequency syringe sharers (>60%) little impact on HCV seroprevalence will be achieved unless the rest of the IDUs are also targeted. This is because of the high level of transmission occurring in the higher frequency syringe sharing IDUs.
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| Discussion |
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We developed a model of HCV transmission that incorporated key biological features of HCV infection and summary behavioural data from IDUs in London. The model accurately fitted the observed HCV seroprevalence in London (200203) by injecting duration. However, because of parameter uncertainty several different models, with contrasting biological and behavioural assumptions, gave equally good fits to the observed data. The key differences centred on how they simulated the rapid spread of HCV infection amongst new injectors, either assuming a large sub-group of high-frequency syringe sharing IDUs, increased syringe sharing among new injectors, or higher transmission during the acute infection phase. These models gave different projections for the proportion of IDUs with active HCV infection or that have resolved their infection (assumed to be immune), and the reduction in HCV seroprevalence in response to reductions in sharing.
Currently, there are insufficient data to determine which model type is the better description of HCV transmission in London, and probably also for other sites. Better information on several of the key biological or behavioural parameters could reduce the overall amount of parameter uncertainty and so improve model selection and the accuracy of projections. For example, if new experimental data strongly suggested that there was no increase in transmission risk during the acute phase of infection, then this could be ruled out as a possible reason for the rapid initial spread of HCV and one of our models could be rejected. Conversely, more accurate estimates for the proportion that resolve their infection could set stricter limits on estimates of syringe sharing.
Despite uncertainty in some important model parameters, the models provide a number of insights, highlighting the critical importance of reaching new injectors, and the potential difficulty in effectively controlling HCV transmission amongst IDUs, as highlighted by other modelling studies.3840
Evidence suggests that the current level of intervention activity has been insufficient in preventing increases in HCV transmission in London.19,33,34 Because of this, the model was used to explore the possible impact of further reducing syringe sharing. The models project that if all IDUs reduce their syringe sharing the HCV seroprevalence in shorter term IDUs (injecting for less than four years) will be reduced, but that greater reductions are required to produce similar reductions amongst longer term IDUs (>eight years of injecting). In addition, and in agreement with a previous modelling study,28 the frequency of syringe sharing has to decrease to very low levels (one to two times per month) for the HCV seroprevalence to be reduced to
10%. Moreover, if interventions fail to reach recent injectors then the models project considerably smaller decreases in HCV seroprevalence. Targeting recent injectors may require the design of new interventions or innovative ways of delivery.
Lastly, as for sexually transmitted infection (STI) prevention interventions, one possible strategy for safer injecting and syringe distribution interventions could be to target higher risk IDUs. However, our model projections suggest that the most effective prevention strategy is to target all IDUs, rather than just higher frequency syringe sharers. Indeed, our model projections suggest that targeting higher risk IDUs could have less effect on the overall HCV seroprevalence than targeting lower frequency syringe sharers.
One potential limitation was that the model did not incorporate the possibility of HCV transmission through sharing other injecting equipment,46 primarily because of a lack of data. Equally the model did not explicitly model periods of imprisonment when IDUs may have increased risk. The implication of these limitations is that the model may over-estimate the impact of reducing syringe sharing on HCV prevalence. Critically, the analysis also lacked reliable data on the frequency and nature of syringe sharing, though not uncommon in behavioural surveys.71 We therefore combined information on injection frequency, syringe re-use and syringe coverage to provide an estimate of 16 sharing-events per month. The uncertainty in this parameter estimate was accounted for in the large uncertainty range given to the HCV transmission probability per syringe sharing act. Further, the model allowed for some heterogeneities in both syringe sharing (among recent or higher frequency syringe sharers) and the degree of mixing between different groups, but still assumed sharing was a random event. Clearly this is a simplification because syringe sharing, like drug taking, usually occurs within social groups72 and networks.73 We hypothesize that in the same way as concurrent sexual partnerships are important for STI spread,74 concurrent sharing partnerships formed in drug sharing networks may be important in determining the spread of HCV. However, such network effects cannot be incorporated and explored until better and more accurate data are collected on these risk behaviours.75
| Appendix |
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| Acknowledgements |
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The work was partly funded by DTI Foresight Programme and we are very grateful for their support and interest. M.H. is funded by an NHS Career Scientist grant and P.V. also receives funding from the DFID funded AIDS Knowledge Programme. The views expressed are those of the authors and cannot be taken to reflect the official opinion of the London School of Hygiene and Tropical Medicine, Bristol University and Medical Research Council or Foresight.
Conflict of interest: None declared.
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