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Erschienen in: BMC Medicine 1/2018

Open Access 01.12.2018 | Research article

The cost-effectiveness of oral HIV pre-exposure prophylaxis and early antiretroviral therapy in the presence of drug resistance among men who have sex with men in San Francisco

verfasst von: Mingwang Shen, Yanni Xiao, Libin Rong, Lauren Ancel Meyers, Steven E. Bellan

Erschienen in: BMC Medicine | Ausgabe 1/2018

Abstract

Background

Poor adherence to either antiretroviral treatment (ART) or pre-exposure prophylaxis (PrEP) can promote drug resistance, though this risk is thought to be considerably higher for ART. In the population of men who have sex with men (MSM) in San Francisco, PrEP coverage reached 9.6% in 2014 and has continued to rise. Given the risk of drug resistance and high cost of second-line drugs, the costs and benefits of initiating ART earlier while expanding PrEP coverage remain unclear.

Methods

We develop an infection–age-structured mathematical model and fit this model to the annual incidence of AIDS cases and deaths directly, and to resistance and demographic data indirectly. We investigate the impact of six various intervention scenarios (low, medium, or high PrEP coverage, with or without earlier ART) over the next 20 years.

Results

Low (medium, high) PrEP coverage with earlier ART could prevent 22% (42%, 57%) of a projected 44,508 total new infections and 8% (26%, 41%) of a projected 18,426 new drug-resistant infections, and result in a gain of 43,649 (74,048, 103,270) QALYs over 20 years compared to the status quo, at a cost of $4745 ($78,811, $115,320) per QALY gained, respectively.

Conclusions

High PrEP coverage with earlier ART is expected to provide the greatest benefit but also entail the highest costs among the strategies considered. This strategy is cost-effective for the San Francisco MSM population, even considering the acquisition and transmission of ART-mediated drug resistance. However, without a substantial increase to San Francisco’s annual HIV budget, the most advisable strategy may be initiating ART earlier, while maintaining current strategies of PrEP enrollment.
Hinweise

Electronic supplementary material

The online version of this article (https://​doi.​org/​10.​1186/​s12916-018-1047-1) contains supplementary material, which is available to authorized users.
Abkürzungen
ART
antiretroviral therapy
GDP
gross domestic product
ICER
incremental cost-effectiveness ratio
MSM
men who have sex with men
PrEP
pre-exposure prophylaxis
QALY
quality-adjusted life-year

Background

In July 2012, the US Food and Drug Administration (FDA) approved tenofovir/emtricitabine for use as oral pre-exposure prophylaxis (PrEP) [1]. Estimates of PrEP efficacy in preventing HIV infection range from 39% to 86% in randomized controlled trials [26]. PrEP consumer demand has accelerated since mid-2013 [7]. PrEP coverage among men who have sex with men (MSM) in San Francisco was estimated at 9.6% in 2014 [8]. In May 2016, more than 6000 MSM in San Francisco were reported to receive PrEP [9], suggesting a coverage of approximately 12% given that the HIV-negative MSM population is estimated at 50,000 [7, 10, 11]. In 2010, prior to this increased PrEP uptake, San Francisco was one of the first cities to institute guidelines to initiate antiretroviral therapy (ART) as early as possible post-infection rather than waiting for signs of disease progression, such as clinical symptoms or low CD4+ cell counts [12], given findings that early ART initiation improves survival while reducing the risks of transmission to others [13]. However, it has been hypothesized that early ART initiation might provide more time for the evolution of drug resistance and that subsequent transmission of drug-resistant HIV might reduce PrEP effectiveness [1416].
Herein, we address the long-term population-level costs and health benefits of expanding PrEP coverage in combination with increasingly early ART initiation among the MSM population in San Francisco. We assess the effectiveness and cost-effectiveness of expanding PrEP coverage, with and without earlier ART guidelines, using an infection–age-structured model [17, 18]. The model tracks the transmission rate and life expectancy of individuals at each infection age, while accounting for ART-mediated drug resistance and the costs of treatment failure and second-line regimens. We fit this model to epidemiological data on the annual incidence of newly diagnosed AIDS cases and deaths amongst MSM in San Francisco (simultaneously matching prevalence, resistance, and demographic data [18]) and estimate the impact of various intervention scenarios over the next 20 years.
Several modeling studies have addressed the impact of PrEP in San Francisco, including estimates of coverage required to curtail transmission [7], an assessment of whether PrEP might increase the drug-resistant transmission [14], and a cost-effectiveness analysis of PrEP in combination with a partially effective HIV vaccine [19]. Our study differs from these prior analyses and others of PrEP cost-effectiveness [2026] in the United States in several aspects. First, we analyze the expansion in PrEP coverage in conjunction with changing ART guidelines, rather than comparing initiation of PrEP to no PrEP [7, 14, 1924, 27, 28]. Second, we model the acquisition and transmission of ART-mediated resistance and the indirect population-level effects of PrEP (i.e., by reducing the number of infected individuals, PrEP indirectly benefits other individuals in the population who could have otherwise been infected by individuals on PrEP), which have not been addressed in previous studies [7, 1925]. While two prior analyses of PrEP [16, 26] considered ART-mediated resistance and subsequent treatment failure, one [16] did not address the impact of earlier ART initiation on PrEP cost-effectiveness, and the other [26] did not account for increased costs and effectiveness of second-line drugs. Third, we consider increasingly earlier initiation of ART and the consequent increases in survival. In contrast, many prior studies modeled early ART by assuming individuals initiate ART whilst their CD4+ T cell counts remain above 350 cells/mm3 [29], by assuming ART eligibility occurs once their CD4+ T cell count drops below 500 cells/mm3 [30, 31], or by assuming ART initiation occurs within 2 years of infection [32]. Two studies that modeled ART initiation at 1 year post-infection [33, 34] did not incorporate the increased survival times, which may cause underestimation of intervention cost-effectiveness.

Methods

We extended our previously developed infection–age-structured model [18] to include a PrEP class (see the schematic diagram of the model structure in Fig. 1a, Additional file 1: Figure S1 and Table S1). We modeled the MSM population in San Francisco aged 18–65 years old [10, 18], assuming that first- and second-line ART reduced infectivity by 96% [13] and 80% [18], respectively. Here, the effectiveness of second-line drugs for drug-resistant cases is assumed to be lower than that of first-line drugs for drug-sensitive cases due to lower adherence [35]. We assume that earlier ART initiation confers longer life expectancy, as indicated previously [18, 36], based on clinical data [37, 38] and that treated individuals with drug resistance have life expectancies that are 11 years (varying from 0 to 20 years in sensitivity analyses) shorter than drug-sensitive patients [18, 37, 38]. We estimate that the average period from infection to ART initiation in San Francisco has been 1.6 years, on average [18] (‘early ART’, see Additional file 1: Supplementary Material for details). We compared early ART to ‘earlier’ ART, i.e., treatment initiation at 1 year post-infection, on average. Of the 33% of treated MSM who are virally unsuppressed [10], 76% exhibit drug resistance [39]; we thus assume that 25% of treated MSM in San Francisco [18] have acquired drug resistance as our base case (varied from 0 to 100% in a sensitivity analysis). Resistance here is assumed to be resistant to one or more first-line ART drugs. Given local monitoring protocols, we assume that drug-resistant cases are quickly switched to second-line drugs. We do not differentiate drug combinations beyond the categorizations of first- or second-line for two reasons. First, data to estimate drug-specific efficacies and adherence levels is not readily available. Second, drug-specific parameters are unnecessary to achieve our goal of estimating intervention cost-effectiveness when using these assumptions regarding the average relative effectiveness of first-line and second-line regimens.
We assumed PrEP effectiveness against drug-sensitive strains was 53% based on a meta-analysis [40], where this value reflects both biomedical efficacy and adherence. We assumed relative PrEP effectiveness against resistant strains was 50% (the ratio of PrEP effectiveness against drug-resistant versus drug-sensitive strains) [1416]. In a sensitivity analysis, we varied PrEP effectiveness against drug-sensitive strains from 10% to 90% [21, 27] and relative effectiveness against drug-resistant strains from 0 to 1. We assumed an 8% annual rate of PrEP attrition, based on a cohort study in San Francisco [41], and varied it from 1% to 30% per year in sensitivity analyses. Based on low empirically observed dropout proportions [10], we assume that all individuals who initiate ART remain on ART until the end of life and do not drop out of care. We considered only ART-mediated and not PrEP-mediated resistance, because both clinical data [42, 43] and mathematical models [44, 45] suggest that PrEP contributes less than 5% to the total burden of resistance since PrEP-selected resistant phenotypes decay below detection by 6 months after drug cessation and remain undetectable for at least 2 years thereafter [46].

Model calibration

To achieve a realistic baseline scenario, we fitted our model to the annual incidence of diagnosed AIDS cases and deaths from 1980 to 2014 among MSM in San Francisco (Fig. 2ac) using data from the San Francisco Department of Public Health HIV Epidemiology Section (see [18] for details). We modeled five distinct intervention eras, namely (1) no ART availability (1980–1995); (2) ART administered based on clinical symptoms or CD4 thresholds (1995–2006); (3) expanded ART and shortened time to begin ART based on name-based HIV reporting, which, without altering treatment guidelines, increased ART coverage [18, 47] (2006–2012); (4) initial PrEP roll out (2012–2018); and (5) expanded PrEP, with or without earlier ART (2018–2038). We estimated the parameters by fitting the model to data in eras 1–4, and then simulated various intervention scenarios in era 5. The detailed calibration of the first three eras has been previously provided [18] and the parameters of these eras in this study are the same as used therein. We calibrated the model to the fourth era by choosing a constant rate for PrEP initiation such that PrEP coverage rose from 0% in 2012 (post-Food and Drug Administration approval) to the most recent observed value of 9.6% in 2014 [8] (Fig. 1b). At this initiation rate (low PrEP coverage scenario), PrEP coverage would reach 25% (low coverage) after 5 years (2023). For the fifth era, we simulated various intervention scenarios, including continuation of PrEP initiation at this low level or increasing to 50% (medium) or 80% (high) PrEP coverage by 2023. We also considered how these PrEP scenarios interacted with the implementation of new, earlier ART guidelines (1 year post-infection versus the status quo of 1.6 years post-infection). We combined each of the three levels of PrEP intervention with each of the two timings of ART to model six different intervention strategies over the 2018–2038 period (Fig. 1b). The PrEP initiation rates were assumed to be constant for each of the low, medium, and high PrEP scenarios, with rates chosen such that PrEP coverage would saturate at the specified values for each scenario.
We predicted how the AIDS cases, deaths, prevalence (Fig. 2df), total new infections (incidence), and new drug-resistant infections (Fig. 3a, b), as well as the fraction of new infections that are drug resistant (Additoinal file 1: Figure S3) would change after 2018 under each of the six strategies, using the low PrEP and baseline ART strategy as our reference comparator. Additionally, we examined the potential for the incidence of drug-resistant infections to increase as a function of second-line drug effectiveness, PrEP coverage, and ART timing (Fig. 3c, d). All analyses were carried out in Matlab.

Economic model

We used published quality of life estimates for each health state (Additional file 1: Table S1) [23, 26, 4851]. We assumed that PrEP did not reduce the quality of life [23, 26], but that the quality of life for drug-resistant cases decreases by 5% relative to drug-sensitive individuals at the same stage [26, 52] (varied from 0 to 10% in sensitivity analysis).
We also used published estimates of HIV-related healthcare costs, first- and second-line ART costs, the costs of antibody testing, genotype resistance testing, and counseling and diagnosis [23, 26, 4951]. Our base case assumed that second-line drug costs for drug-resistant patients were 1.24 times higher than first-line drug costs for drug-sensitive individuals [53], and varied this multiplier from 1 to 5 in sensitivity analysis. Annual PrEP costs included ART medication, laboratory fees (i.e., HIV antibody test every 2–3 months, sexually transmitted infections test every 6 months), and professional fees for patient visits and consultations [54].
We discounted costs and quality-adjusted life years (QALYs) at 3% annually [55] and expressed costs in 2017 U.S. dollars. We calculated net health benefits (QALYs) and costs for various strategies over a 20-year time horizon assuming a public health perspective. The incremental cost-effectiveness ratio (ICER) for each strategy was calculated relative to both the status quo and the next best strategy. Using WHO standards [56], we denoted strategies with an ICER less than the per capita gross domestic product (GDP; $81,347 for San Francisco in 2015 [57]) as very cost-effective and those with an ICER less than three times the per capita GDP as cost-effective ($244,041).

Sensitivity analysis

We used sensitivity analyses to examine the impact of various model parameters on intervention cost-effectiveness, including the effectiveness of PrEP against drug-sensitive and drug-resistant strains, PrEP coverage, PrEP attrition rate, annual PrEP costs, ART effectiveness, and costs for first- and second-line drug regimens, as well as the reduction in lifespan of treated drug-resistant cases relative to treated drug-sensitive cases. We reported additional sensitivity analyses of ICER estimates to various combinations of PrEP coverage and ART timing in Additional file 1: Supplementary Material.

Results

Health outcomes

Under baseline levels of PrEP and ART coverage, we estimate that 44,508 total new HIV infections and 18,426 new drug-resistant infections would occur among MSM in San Francisco over the next 20 years (Table 1 and Fig. 3a, b). Assuming that ART timing remains unchanged, an increase in PrEP coverage to 50% of the MSM population is expected to prevent 13,798 total infections (31% of projected incidence under baseline PrEP and ART) and 3741 drug-resistant infections (20%), and yield 46,757 incremental QALYs (Table 1). An even greater increase in PrEP coverage (to 80%), would avert 23,138 total new infections (52%) and 6939 (38%) new drug-resistant infections, yielding an additional 87,411 QALYs relative to the status quo. Expanding PrEP coverage not only reduces AIDS cases (Fig. 2d) and deaths (Fig. 2e), but also decreases HIV prevalence (Fig. 2f). A 50% (or 80%) PrEP coverage would reduce the prevalence after 20 years from 9.26% in the base scenario to 5.67% (or 3.81%) (Table 1).
Table 1
Benefits and costs of expanding PrEP coverage and earlier ART strategies over 20 years
Strategy
Total new Infectionsa
Total infections prevented (fraction)a
New infections with drug-resistant strainsa
Drug-resistant infections prevented (fraction)a
HIV prevalence in 2038 (%)
Total costs of PrEP (million US $)b,c
Total costs (million US $)c
Total QALYsc
Incremental costs (million US $)d
Incremental QALYsd
ICER relative to the status quo
ICER relative to next best strategy
Status quo (Low PrEP coverage)
44,508
18,426
9.26
5648
9189
1,315,057
Medium PrEP coverage
30,710
13,798 (31%)
14,685
3741 (20%)
5.67
11,577
14,666
1,361,814
5477
46,757
117,130
Dominatede
High PrEP coverage
21,370
23,138 (52%)
11,487
6939 (38%)
3.81
18,056
20,773
1,402,468
11,584
87,411
132,520
Dominatede
Low PrEP coverage+Earlier ART
34,808
9700 (22%)
16,969
1457 (8%)
7.43
5914
9396
1,358,706
207
43,649
4745
4745
Medium PrEP coverage+Earlier ART
25,892
18,616 (42%)
13,686
4740 (26%)
5.14
11,905
15,025
1,389,105
5836
74,048
78,811
185,160
High PrEP coverage+Earlier ART
19,093
25,414 (57%)
10,867
7559 (41%)
3.74
18,307
21,098
1,418,327
11,909
103,270
115,320
207,830
PrEP pre-exposure prophylaxis, ART antiretroviral therapy, ICER incremental cost-effectiveness ratio, QALY quality-adjusted life-year
aTotal new infections, new drug-resistant infections, total HIV infections prevented and drug-resistant infections prevented are undiscounted number from 2018 to 2038
bIncludes the costs of antiretroviral drugs for PrEP, laboratory fees (such as HIV antibody test fee every 2–3 months, test fee for sexually transmitted infections every 6 months) and professional fees (such as visiting and consulting fees) [54]
cCosts and quality-adjusted life years (QALYs) are net present values (3% annual discount rate) over 20 years
dIncremental costs and QALYs are relative to the status quo
eThe strategy that is dominated yields fewer QALYs at higher costs than the comparator and thus is not an effcient use of resources
Relative to the base scenario, combining low or medium PrEP coverage and earlier ART is expected to avert an additional 9700 (22%) or 18,616 (42%) total new infections, 1457 (8%) or 4740 (26%) new drug-resistant infections, and add 43,649 or 74,048 QALYs, respectively. High PrEP coverage combined with earlier ART provides the most health benefits, with an additional 25,414 (57%) total new infections and 7559 (41%) new drug-resistant infections averted relative to the base scenario (Table 1 and Fig. 3a, b). HIV prevalence would drop to 7.43%, 5.14%, and 3.74% after 20 years when earlier ART is combined with low, medium, and high PrEP coverage, respectively.
Figure 3a, b shows that, in the base case, combining earlier ART and expanded PrEP coverage leads to reductions in drug-resistant incidence and even greater reductions in total incidence. For example, adding earlier ART reduces incidence of drug-resistant and total cases by 8% and 22%, respectively, and expansion to medium PrEP coverage leads to respective reductions of 20% and 31% (Table 1). However, the fraction of new infections that are drug resistant is expected to increase across all scenarios (Additional file 1: Figure S3b), in accordance with previous findings [14, 18]. Earlier ART combined with the low levels of PrEP coverage may also increase absolute drug-resistant incidence (i.e., not just the drug-resistant fraction of total incidence) relative to the base case only when second-line drug effectiveness is less than 60% (Fig. 3c). However, expansion to medium or high PrEP coverage decreases drug-resistant incidence (Fig. 3d) across all levels of second-line drug effectiveness both with and without earlier ART.

Economic outcomes

Expanding PrEP to either medium or high levels of coverage without changing ART timing was cost-effective by WHO standards [56], with an ICER of $117,130 or $132,520 per QALY gained, respectively, compared to the status quo (Table 1 and Fig. 4). Medium PrEP coverage would cost an additional $5477 million over 20 years ($5929 million for PrEP prevention minus $452 million in treatment savings; Additional file 1: Table S2), or $274 million annually, which is five times San Francisco’s 2015–2016 annual HIV budget ($16.8 million for prevention and $37.6 million for care [58]).
Adding earlier ART to baseline PrEP coverage is the most cost-effective strategy under our base assumptions, costing only $4745 per QALY gained relative to the status quo (Table 1 and Fig. 4). Combining earlier ART with expanded PrEP coverage (50% or 80%) provides more health benefits and costs $78,811 or $115,320 per QALY gained, respectively, compared to the status quo, costing an additional $5836 or $11,909 million, respectively, over 20 years relative to the status quo. However, incremental expansion of PrEP coverage when earlier ART is already in place is substantially more expensive. In particular, earlier ART with medium PrEP coverage costs $185,160 per QALY gained compared to earlier ART with low PrEP coverage level, and earlier ART with high PrEP coverage costs $207,830 per QALY gained compared to earlier ART with medium coverage. This is because earlier ART has already led to a substantial reduction in HIV infections (Fig. 2) and great gains in QALYs (Table 1), such that increased PrEP coverage provides protection only to individuals at a lower infection risk, yielding only modest gains in QALYs per unit cost (Table 1 and Fig. 4).

Sensitivity analysis

Our findings are qualitatively robust to parameter uncertainty. In sensitivity analysis, we found that the PrEP costs and coverage had the largest impact on PrEP cost-effectiveness for the combination of high PrEP coverage and earlier ART compared to the status quo (Fig. 5). If the annual costs of PrEP were 50% lower than the base case, the ICER would decrease from $115,320 to $54,027 per QALY gained. Increasing PrEP coverage from the low to high scenario in the presence of earlier ART would increase the ICER from $4745 to $115,320 per QALY gained. However, the ICER is less sensitive to other parameters (Additional file 1: Supplementary Material).

Discussion

We found that expanding PrEP while initiating ART earlier (at 1 year post-infection versus the status quo of 1.6 years post-infection) could provide substantial, cost-effective health benefits to the San Francisco MSM population. However, the most cost-effective intervention is earlier ART without further PrEP expansion. This would prevent 9700 (22%) total new infections and 1457 (8%) new drug-resistant infections, and add 43,649 QALYs over the next 20 years; this is very cost-effective at $4745 per QALY gained. Expanding PrEP coverage in addition to earlier ART would further reduce incidence, but only add 1.7–2.4 times more QALYs while costing 28–58 times more than earlier ART alone (Table 1). Still, high PrEP coverage plus earlier ART ($115,320 per QALY gained) is cost-effective for San Francisco even considering the acquisition and transmission of ART-mediated drug resistance. For a budget under $470 million annually, the best strategy is to keep current strategies of PrEP enrollment while initiating ART earlier. This may be advisable for San Francisco, based on the city’s 2015–2016 annual HIV/AIDS budget [58] (though this excludes private insurance and may therefore underestimate the total funding available). A higher budget would suggest that PrEP expansion in addition to earlier ART is advisable.
Our estimated ICER of expanding PrEP without earlier initiation of ART of $117,130–132,520 per QALY gained (Table 1) is far greater than estimates for targeted high-risk MSM interventions in New York City ($31,970 [20]), Los Angeles County ($27,863–37,181 [26]), and nationwide US ($52,443 [23]), but lower than estimates for the general MSM population in New York City ($353,739 [22]) and nationwide US ($172,091–216,480 [23]). These discrepancies may stem from the different settings, PrEP targeting strategies, or model assumptions. For example, San Francisco has higher testing and treatment rates than New York City and the entire US [10, 18, 22, 23]. We assume two-fold higher life expectancy gains following treatment than Juusola et al. [23], based on more recent life expectancy estimates [37, 38]. Recent reviews discussed variation amongst ICER calculations in greater detail [28, 59].
Drabo et al. [26] conducted a similar study for high-risk MSM in Los Angeles, but used a different model structure. Our infection–age-structured model allows us to track the life expectancy at different ART initiation times and among individuals with drug sensitive or resistant strains (the primary innovation of our model). In addition, their model initiated ART treatment at a CD4+ cell count ≤ 500 cells/mm3, whereas we considered an even earlier ART strategy. Finally, we accounted for the switch to second-line drug treatment after treatment failure and its associated costs. Despite these differences, we concur that all combinations of earlier ART and PrEP coverage are cost-effective to varying degrees, and that the optimal strategy depends on budgetary constraints.
Our study has several limitations. First, to explore the cost-effectiveness of the above scenarios, we fit our model to multiple sources of data, including incidence of AIDS diagnoses and deaths, HIV prevalence, the fraction of drug-resistance amongst incident cases, and other demographic data [18]. Fitting to so many sources data has the advantage of integrating much of what is known about this epidemic but is ambitious in the sense that it is difficult to closely fit all data sets simultaneously. One possibility to solving this would have been to fit only a subset of these data such that model fits would have better reflected those datasets but not been informed by others. Second, we did not model PrEP-mediated acquired drug resistance. Our results should be robust to this exclusion, as recommended screening practices are thought to limit PrEP-acquired resistance via quick identification of breakthrough infections amongst individuals on PrEP [21, 43, 60]. Third, we assumed that sexual partners were assorted independent of PrEP or ART usage. If PrEP were targeted towards individuals whose partners, if infected, were less likely to be on ART, then PrEP would be expected to be more effective and cost-effective. Should individuals on PrEP be more likely to engage in sexual partnerships with infected individuals on ART than with those not on ART, then this would reduce the estimated cost-effectiveness of PrEP. Fourth, we assumed a homogenous PrEP coverage for the entire population irrespective of risk and age. We made this assumption for simplicity and due to the lack of information about age- and risk-group mixing contact patterns. If PrEP coverage is higher in individuals within the MSM population who are at higher risk of infection than the average (i.e., because of PrEP targeting to high-risk groups or high-risk individuals seeking out PrEP), then PrEP would be more cost-effective. In contrast, if high-risk groups also constitute groups that are hard to reach with PrEP, then PrEP cost-effectiveness would be lower than estimated. Similarly, the indirect effects of PrEP on the population would depend on the propensity to transmit of individuals on PrEP, should they have been infected if they were not on PrEP. Finally, while our results were qualitatively robust to parameter uncertainty, future changes in intervention costs or efficacy may affect our estimates.

Conclusions

In summary, expanding PrEP coverage and shifting ART initiation even earlier in San Francisco would reduce the total and drug resistant incidence, and add over 40,000 QALYs to the population over 20 years. Combining higher PrEP coverage and earlier ART is predicted to be cost-effective at three times the per capita GDP threshold. These results are robust across a wide range of assumptions regarding drug resistance and the effectiveness and cost of second-line drug regimens.

Acknowledgements

We thank Ling Hsu for providing data from San Francisco Department of Public Health HIV Epidemiology Section. We also thank The University of Texas at Austin for hosting Mingwang Shen while the research was conducted.

Funding

This work was supported by the National Natural Science Foundation of China (NSFC, grant number 11631012 (YX) and 11571273 (YX)), by the National Mega-project of Science Research (grant number 2017ZX10201101-002-002 (YX)), and by the National Natural Science Foundation of China (NSFC, grant number 11701442(XS)).LR was supported by the National Science Foundation (DMS-1758290). LAM and SEB were supported by the US National Institute of General Medical Sciences Model of Infectious Disease Agent Study grant U01GM087719 to LAM and APG, and SEB was supported by a National Institute of Allergy and Infectious Diseases K01 award (K01AI125830).

Availability of data and materials

Part of the data utilized in this study are included in our previously published article [18] and its supplementary information files. The rest of the data utilized is available as referenced in the article.
Not applicable.

Competing interests

The authors declare that they have no competing interests.

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Literatur
2.
Zurück zum Zitat Abdool Karim Q, Abdool Karim SS, Frohlich JA, et al. Effectiveness and safety of tenofovir gel, an antiretroviral microbicide, for the prevention of HIV infection in women. Science. 2010;329:1168–74.CrossRefPubMedPubMedCentral Abdool Karim Q, Abdool Karim SS, Frohlich JA, et al. Effectiveness and safety of tenofovir gel, an antiretroviral microbicide, for the prevention of HIV infection in women. Science. 2010;329:1168–74.CrossRefPubMedPubMedCentral
3.
Zurück zum Zitat Grant RM, Lama JR, Anderson PL, et al. Preexposure chemoprophylaxis for HIV prevention in men who have sex with men. N Engl J Med. 2010;363:2587–99.CrossRefPubMedPubMedCentral Grant RM, Lama JR, Anderson PL, et al. Preexposure chemoprophylaxis for HIV prevention in men who have sex with men. N Engl J Med. 2010;363:2587–99.CrossRefPubMedPubMedCentral
4.
Zurück zum Zitat Molina JM, Capitant C, Spire B, et al. On-demand preexposure prophylaxis in men at high risk for HIV-1 infection. N Engl J Med. 2015;373:2237–46.CrossRefPubMed Molina JM, Capitant C, Spire B, et al. On-demand preexposure prophylaxis in men at high risk for HIV-1 infection. N Engl J Med. 2015;373:2237–46.CrossRefPubMed
5.
Zurück zum Zitat Grant RM, Anderson PL, McMahan V, et al. Uptake of pre-exposure prophylaxis, sexual practices, and HIV incidence in men and transgender women who have sex with men: a cohort study. Lancet Infect Dis. 2014;14:820–9.CrossRefPubMed Grant RM, Anderson PL, McMahan V, et al. Uptake of pre-exposure prophylaxis, sexual practices, and HIV incidence in men and transgender women who have sex with men: a cohort study. Lancet Infect Dis. 2014;14:820–9.CrossRefPubMed
6.
Zurück zum Zitat McCormack S, Dunn DT, Desai M, et al. Pre-exposure prophylaxis to prevent the acquisition of HIV-1 infection (PROUD): effectiveness results from the pilot phase of a pragmatic open-label randomised trial. Lancet. 2016;387:53–60.CrossRefPubMedPubMedCentral McCormack S, Dunn DT, Desai M, et al. Pre-exposure prophylaxis to prevent the acquisition of HIV-1 infection (PROUD): effectiveness results from the pilot phase of a pragmatic open-label randomised trial. Lancet. 2016;387:53–60.CrossRefPubMedPubMedCentral
8.
Zurück zum Zitat Chen YH, Snowden JM, McFarland W, Raymond HF. Pre-exposure prophylaxis (PrEP) use, seroadaptation, and sexual behavior among men who have sex with men, San Francisco, 2004-2014. AIDS Behav. 2016;20:2791–7. Chen YH, Snowden JM, McFarland W, Raymond HF. Pre-exposure prophylaxis (PrEP) use, seroadaptation, and sexual behavior among men who have sex with men, San Francisco, 2004-2014. AIDS Behav. 2016;20:2791–7.
11.
Zurück zum Zitat Grey JA, Bernstein KT, Sullivan PS, et al. Estimating the population sizes of men who have sex with men in US states and counties using data from the American community survey. JMIR Public Health Surveill. 2016;2:e14.CrossRefPubMedPubMedCentral Grey JA, Bernstein KT, Sullivan PS, et al. Estimating the population sizes of men who have sex with men in US states and counties using data from the American community survey. JMIR Public Health Surveill. 2016;2:e14.CrossRefPubMedPubMedCentral
13.
14.
Zurück zum Zitat Supervie V, García-Lerma JG, Heneine W, Blower S. HIV, transmitted drug resistance, and the paradox of preexposure prophylaxis. Proc Natl Acad Sci U S A. 2010;107:12381–6.CrossRefPubMedPubMedCentral Supervie V, García-Lerma JG, Heneine W, Blower S. HIV, transmitted drug resistance, and the paradox of preexposure prophylaxis. Proc Natl Acad Sci U S A. 2010;107:12381–6.CrossRefPubMedPubMedCentral
15.
Zurück zum Zitat Supervie V, Barrett M, Kahn JS, et al. Modeling dynamic interactions between pre-exposure prophylaxis interventions & treatment programs: predicting HIV transmission & resistance. Sci Rep. 2011;1:185.CrossRefPubMedPubMedCentral Supervie V, Barrett M, Kahn JS, et al. Modeling dynamic interactions between pre-exposure prophylaxis interventions & treatment programs: predicting HIV transmission & resistance. Sci Rep. 2011;1:185.CrossRefPubMedPubMedCentral
16.
Zurück zum Zitat Abbas UL, Anderson RM, Mellors JW. Potential impact of antiretroviral chemoprophylaxis on HIV-1 transmission in resource-limited settings. PLoS One. 2007;2:e875.CrossRefPubMedPubMedCentral Abbas UL, Anderson RM, Mellors JW. Potential impact of antiretroviral chemoprophylaxis on HIV-1 transmission in resource-limited settings. PLoS One. 2007;2:e875.CrossRefPubMedPubMedCentral
17.
Zurück zum Zitat Shen MW, Xiao YN, Rong LB. Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics. Math Biosci. 2015;263:37–50.CrossRefPubMed Shen MW, Xiao YN, Rong LB. Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics. Math Biosci. 2015;263:37–50.CrossRefPubMed
18.
Zurück zum Zitat Shen MW, Xiao YN, Rong LB, Meyers LA, Bellan SE. Early antiretroviral therapy and potent second-line drugs could decrease HIV incidence of drug resistance. P Roy Soc B-Biol Sci. 2017;284:20170525.CrossRef Shen MW, Xiao YN, Rong LB, Meyers LA, Bellan SE. Early antiretroviral therapy and potent second-line drugs could decrease HIV incidence of drug resistance. P Roy Soc B-Biol Sci. 2017;284:20170525.CrossRef
19.
Zurück zum Zitat Adamson BJ, Bounthavong M, Kublin JG, Garrison L. Cost-effectiveness analysis of a partially effective HIV vaccine in San Francisco. Value Health. 2015;18:A237.CrossRef Adamson BJ, Bounthavong M, Kublin JG, Garrison L. Cost-effectiveness analysis of a partially effective HIV vaccine in San Francisco. Value Health. 2015;18:A237.CrossRef
20.
Zurück zum Zitat Desai K, Sansom SL, Ackers ML, et al. Modeling the impact of HIV chemoprophylaxis strategies among men who have sex with men in the United States: HIV infections prevented and costeffectiveness. AIDS. 2008;22:1829–39.CrossRefPubMed Desai K, Sansom SL, Ackers ML, et al. Modeling the impact of HIV chemoprophylaxis strategies among men who have sex with men in the United States: HIV infections prevented and costeffectiveness. AIDS. 2008;22:1829–39.CrossRefPubMed
21.
Zurück zum Zitat Paltiel AD, Freedberg KA, Scott CA, et al. HIV preexposure prophylaxis in the United States: impact on lifetime infection risk, clinical outcomes, and cost-effectiveness. Clin Infect Dis. 2009;48:806–15.CrossRefPubMedPubMedCentral Paltiel AD, Freedberg KA, Scott CA, et al. HIV preexposure prophylaxis in the United States: impact on lifetime infection risk, clinical outcomes, and cost-effectiveness. Clin Infect Dis. 2009;48:806–15.CrossRefPubMedPubMedCentral
22.
Zurück zum Zitat Koppenhaver RT, Sorensen SW. The cost-effectiveness of pre-exposure prophylaxis in men who have sex with men in the United States: an epidemic model. J Acquir Immune Defic Syndr. 2011;58:e51–2.CrossRefPubMed Koppenhaver RT, Sorensen SW. The cost-effectiveness of pre-exposure prophylaxis in men who have sex with men in the United States: an epidemic model. J Acquir Immune Defic Syndr. 2011;58:e51–2.CrossRefPubMed
23.
Zurück zum Zitat Juusola JL, Brandeau ML, Owens DK, Bendavid E. The cost-effectiveness of preexposure prophylaxis for HIV prevention in the United States in men who have sex with men. Ann Intern Med. 2012;156:541–50.CrossRefPubMedPubMedCentral Juusola JL, Brandeau ML, Owens DK, Bendavid E. The cost-effectiveness of preexposure prophylaxis for HIV prevention in the United States in men who have sex with men. Ann Intern Med. 2012;156:541–50.CrossRefPubMedPubMedCentral
24.
Zurück zum Zitat Kessler J, Myers JE, Nucifora KA, et al. Averting HIV infections in New York City: a modeling approach estimating the future impact of additional behavioral and biomedical prevention strategies. AIDS. 2014;28:2683–91.CrossRefPubMed Kessler J, Myers JE, Nucifora KA, et al. Averting HIV infections in New York City: a modeling approach estimating the future impact of additional behavioral and biomedical prevention strategies. AIDS. 2014;28:2683–91.CrossRefPubMed
25.
Zurück zum Zitat Ross EL, Cinti SK, Hutton DW. Implementation and operational research: a cost-effective, clinically actionable strategy for targeting HIV preexposure prophylaxis to high-risk men who have sex with men. J Acquir Immune Defic Syndr. 2016;72:e61–7.CrossRefPubMed Ross EL, Cinti SK, Hutton DW. Implementation and operational research: a cost-effective, clinically actionable strategy for targeting HIV preexposure prophylaxis to high-risk men who have sex with men. J Acquir Immune Defic Syndr. 2016;72:e61–7.CrossRefPubMed
26.
Zurück zum Zitat Drabo EF, Hay JW, Vardavas R, Wagner ZR, Sood N. A cost-effectiveness analysis of preexposure prophylaxis for the prevention of HIV among Los Angeles County men who have sex with men. Clin Infect Dis. 2016;63:1495–504. Drabo EF, Hay JW, Vardavas R, Wagner ZR, Sood N. A cost-effectiveness analysis of preexposure prophylaxis for the prevention of HIV among Los Angeles County men who have sex with men. Clin Infect Dis. 2016;63:1495–504.
27.
Zurück zum Zitat Bernard CL, Brandeau ML, Humphreys K, et al. Cost-effectiveness of HIV preexposure prophylaxis for people who inject drugs in the United States. Ann Intern Med. 2016;165:10–9.CrossRef Bernard CL, Brandeau ML, Humphreys K, et al. Cost-effectiveness of HIV preexposure prophylaxis for people who inject drugs in the United States. Ann Intern Med. 2016;165:10–9.CrossRef
28.
Zurück zum Zitat Gomez GB, Borquez A, Case KK, Wheelock A, Vassall A, Hankins C. The cost and impact of scaling up pre-exposure prophylaxis for HIV prevention: a systematic review of cost-effectiveness modelling studies. PLoS Med. 2013;10:e1001401.CrossRefPubMedPubMedCentral Gomez GB, Borquez A, Case KK, Wheelock A, Vassall A, Hankins C. The cost and impact of scaling up pre-exposure prophylaxis for HIV prevention: a systematic review of cost-effectiveness modelling studies. PLoS Med. 2013;10:e1001401.CrossRefPubMedPubMedCentral
29.
Zurück zum Zitat Anderson SJ, Cherutich P, Kilonzo N, et al. Maximising the effect of combination HIV prevention through prioritisation of the people and places in greatest need: a modelling study. Lancet. 2014;384:249–56.CrossRefPubMed Anderson SJ, Cherutich P, Kilonzo N, et al. Maximising the effect of combination HIV prevention through prioritisation of the people and places in greatest need: a modelling study. Lancet. 2014;384:249–56.CrossRefPubMed
30.
Zurück zum Zitat Nichols BE, Baltussen R, van Dijk JH, et al. Cost-effectiveness of PrEP in HIV/AIDS control in Zambia: a stochastic league approach. J Acquir Immune Defic Syndr. 2014;66:221–8.PubMed Nichols BE, Baltussen R, van Dijk JH, et al. Cost-effectiveness of PrEP in HIV/AIDS control in Zambia: a stochastic league approach. J Acquir Immune Defic Syndr. 2014;66:221–8.PubMed
31.
Zurück zum Zitat Hallett TB, Baeten JM, Heffron R, et al. Optimal uses of antiretrovirals for prevention in HIV-1 serodiscordant heterosexual couples in South Africa: a modelling study. PLoS Med. 2011;8:e1001123.CrossRefPubMedPubMedCentral Hallett TB, Baeten JM, Heffron R, et al. Optimal uses of antiretrovirals for prevention in HIV-1 serodiscordant heterosexual couples in South Africa: a modelling study. PLoS Med. 2011;8:e1001123.CrossRefPubMedPubMedCentral
32.
Zurück zum Zitat Kim SB, Yoon M, Ku NS, et al. Mathematical modeling of HIV prevention measures including pre-exposure prophylaxis on HIV incidence in South Korea. PLoS One. 2014;9:e90080.CrossRefPubMedPubMedCentral Kim SB, Yoon M, Ku NS, et al. Mathematical modeling of HIV prevention measures including pre-exposure prophylaxis on HIV incidence in South Korea. PLoS One. 2014;9:e90080.CrossRefPubMedPubMedCentral
33.
Zurück zum Zitat Cremin I, Alsallaq R, Dybul M, Piot P, Garnett G, Hallett TB. The new role of antiretrovirals in combination HIV prevention: a mathematical modelling analysis. AIDS. 2013;27:447–58.CrossRefPubMed Cremin I, Alsallaq R, Dybul M, Piot P, Garnett G, Hallett TB. The new role of antiretrovirals in combination HIV prevention: a mathematical modelling analysis. AIDS. 2013;27:447–58.CrossRefPubMed
34.
Zurück zum Zitat Smith JA, Anderson SJ, Harris KL, et al. Maximising HIV prevention by balancing the opportunities of today with the promises of tomorrow: a modelling study. Lancet HIV. 2016;3:e289–96.CrossRefPubMedPubMedCentral Smith JA, Anderson SJ, Harris KL, et al. Maximising HIV prevention by balancing the opportunities of today with the promises of tomorrow: a modelling study. Lancet HIV. 2016;3:e289–96.CrossRefPubMedPubMedCentral
35.
Zurück zum Zitat Ramadhani HO, Bartlett JA, Thielman NM, et al. Association of first-line and second-line antiretroviral therapy adherence. Open Forum Infect Dis. 2014;1(2):ofu079.CrossRefPubMedPubMedCentral Ramadhani HO, Bartlett JA, Thielman NM, et al. Association of first-line and second-line antiretroviral therapy adherence. Open Forum Infect Dis. 2014;1(2):ofu079.CrossRefPubMedPubMedCentral
36.
Zurück zum Zitat Dodd PJ, Garnett GP, Hallett TB. Examining the promise of HIV elimination by ‘test and treat’ in hyperendmic settings. AIDS. 2010;24:729–35.CrossRefPubMedPubMedCentral Dodd PJ, Garnett GP, Hallett TB. Examining the promise of HIV elimination by ‘test and treat’ in hyperendmic settings. AIDS. 2010;24:729–35.CrossRefPubMedPubMedCentral
37.
Zurück zum Zitat May M, Gompels M, Sabin C. Life expectancy of HIV-1-positive individuals approaches normal, conditional on response to antiretroviral therapy: UK collaborative HIV cohort study. J Int AIDS Soc. 2012;15(Suppl 4):18078.PubMedCentral May M, Gompels M, Sabin C. Life expectancy of HIV-1-positive individuals approaches normal, conditional on response to antiretroviral therapy: UK collaborative HIV cohort study. J Int AIDS Soc. 2012;15(Suppl 4):18078.PubMedCentral
38.
Zurück zum Zitat May M, Gompels M, Delpech V, et al. Impact on life expectancy of HIV-1 positive individuals of CD4+ cell count and viral load response to antiretroviral therapy. AIDS. 2014;28:1193–202.CrossRefPubMedPubMedCentral May M, Gompels M, Delpech V, et al. Impact on life expectancy of HIV-1 positive individuals of CD4+ cell count and viral load response to antiretroviral therapy. AIDS. 2014;28:1193–202.CrossRefPubMedPubMedCentral
39.
Zurück zum Zitat Richman DD, Morton SC, Wrin T, et al. The prevalence of antiretroviral drug resistance in the United States. AIDS. 2004;18:1393–401.CrossRefPubMed Richman DD, Morton SC, Wrin T, et al. The prevalence of antiretroviral drug resistance in the United States. AIDS. 2004;18:1393–401.CrossRefPubMed
40.
Zurück zum Zitat Jiang J, Yang X, Ye L, et al. Pre-exposure prophylaxis for the prevention of HIV infection in high risk populations: a meta-analysis of randomized controlled trials. PLoS One. 2014;9:e87674.CrossRefPubMedPubMedCentral Jiang J, Yang X, Ye L, et al. Pre-exposure prophylaxis for the prevention of HIV infection in high risk populations: a meta-analysis of randomized controlled trials. PLoS One. 2014;9:e87674.CrossRefPubMedPubMedCentral
41.
Zurück zum Zitat Liu A, Cohen S, Follansbee S, et al. Early experiences implementing preexposure prophylaxis (PrEP) for HIV prevention in San Francisco. PLoS Med. 2014;11:e1001613.CrossRefPubMedPubMedCentral Liu A, Cohen S, Follansbee S, et al. Early experiences implementing preexposure prophylaxis (PrEP) for HIV prevention in San Francisco. PLoS Med. 2014;11:e1001613.CrossRefPubMedPubMedCentral
42.
Zurück zum Zitat Lehman DA, Baeten JM, McCoy CO, et al. Risk of drug resistance among persons acquiring HIV within a randomized clinical trial of single- or dual-agent preexposure prophylaxis. J Infect Dis. 2015;211:1211–8.PubMedPubMedCentral Lehman DA, Baeten JM, McCoy CO, et al. Risk of drug resistance among persons acquiring HIV within a randomized clinical trial of single- or dual-agent preexposure prophylaxis. J Infect Dis. 2015;211:1211–8.PubMedPubMedCentral
43.
Zurück zum Zitat Grant RM, Liegler T, Defechereux P, et al. Drug resistance and plasma viral RNA level after ineffective use of oral pre-exposure prophylaxis in women. AIDS. 2015;29:331–7.CrossRefPubMed Grant RM, Liegler T, Defechereux P, et al. Drug resistance and plasma viral RNA level after ineffective use of oral pre-exposure prophylaxis in women. AIDS. 2015;29:331–7.CrossRefPubMed
44.
Zurück zum Zitat van de Vijver DA, Nichols BE, Abbas UL, et al. Preexposure prophylaxis will have a limited impact on HIV-1 drug resistance in sub-Saharan Africa: a comparison of mathematical models. AIDS. 2013;27:2943–51.CrossRefPubMed van de Vijver DA, Nichols BE, Abbas UL, et al. Preexposure prophylaxis will have a limited impact on HIV-1 drug resistance in sub-Saharan Africa: a comparison of mathematical models. AIDS. 2013;27:2943–51.CrossRefPubMed
45.
Zurück zum Zitat Abbas UL, Glaubius R, Mubayi A, Hood G, Mellors JW. Antiretroviral therapy and preexposure prophylaxis: combined impact on HIV-1 transmission and drug resistance in South Africa. J Infect Dis. 2013;208:224–34.CrossRefPubMedPubMedCentral Abbas UL, Glaubius R, Mubayi A, Hood G, Mellors JW. Antiretroviral therapy and preexposure prophylaxis: combined impact on HIV-1 transmission and drug resistance in South Africa. J Infect Dis. 2013;208:224–34.CrossRefPubMedPubMedCentral
46.
47.
Zurück zum Zitat Zetola NM, Bernstein K, Ahrens K, et al. Using surveillance data to monitor entry into care of newly diagnosed HIV-infected persons: San Francisco, 2006-2007. BMC Public Health. 2009;9:17.CrossRefPubMedPubMedCentral Zetola NM, Bernstein K, Ahrens K, et al. Using surveillance data to monitor entry into care of newly diagnosed HIV-infected persons: San Francisco, 2006-2007. BMC Public Health. 2009;9:17.CrossRefPubMedPubMedCentral
48.
Zurück zum Zitat Tengs TO, Lin TH. A meta-analysis of utility estimates for HIV/AIDS. Med Decis Mak. 2002;22:475–81.CrossRef Tengs TO, Lin TH. A meta-analysis of utility estimates for HIV/AIDS. Med Decis Mak. 2002;22:475–81.CrossRef
49.
Zurück zum Zitat Long EF, Brandeau ML, Owens DK. Potential population health outcomes and expenditures of HIV vaccination strategies in the United States. Vaccine. 2009;27:5402–10.CrossRefPubMedPubMedCentral Long EF, Brandeau ML, Owens DK. Potential population health outcomes and expenditures of HIV vaccination strategies in the United States. Vaccine. 2009;27:5402–10.CrossRefPubMedPubMedCentral
50.
Zurück zum Zitat Long EF, Brandeau ML, Owens DK. The cost-effectiveness and population outcomes of expanded HIV screening and antiretroviral treatment in the United States. Ann Intern Med. 2010;153:778–89.CrossRefPubMedPubMedCentral Long EF, Brandeau ML, Owens DK. The cost-effectiveness and population outcomes of expanded HIV screening and antiretroviral treatment in the United States. Ann Intern Med. 2010;153:778–89.CrossRefPubMedPubMedCentral
51.
Zurück zum Zitat Juusola JL, Brandeau ML, Long EF, Owens DK, Bendavid E. The costeffectiveness of symptom-based testing and routine screening for acute HIV infection in men who have sex with men in the USA. AIDS. 2011;25:1779–87.CrossRefPubMedPubMedCentral Juusola JL, Brandeau ML, Long EF, Owens DK, Bendavid E. The costeffectiveness of symptom-based testing and routine screening for acute HIV infection in men who have sex with men in the USA. AIDS. 2011;25:1779–87.CrossRefPubMedPubMedCentral
52.
Zurück zum Zitat Nichols BE, Sigaloff KC, Kityo C, et al. Increasing the use of second-line therapy is a cost-effective approach to prevent the spread of drug-resistant HIV: a mathematical modelling study. J Int AIDS Soc. 2014;17:19164.CrossRefPubMedPubMedCentral Nichols BE, Sigaloff KC, Kityo C, et al. Increasing the use of second-line therapy is a cost-effective approach to prevent the spread of drug-resistant HIV: a mathematical modelling study. J Int AIDS Soc. 2014;17:19164.CrossRefPubMedPubMedCentral
53.
54.
Zurück zum Zitat Horberg M, Raymond B. Financial policy issues for HIV pre-exposure prophylaxis: cost and access to insurance. Am J Prev Med. 2013;44(Suppl 2):S125–8.CrossRefPubMed Horberg M, Raymond B. Financial policy issues for HIV pre-exposure prophylaxis: cost and access to insurance. Am J Prev Med. 2013;44(Suppl 2):S125–8.CrossRefPubMed
55.
Zurück zum Zitat Drummond M, Sculpher M, Torrance G, O'Brien B, Stoddart G. Methods for the economic evaluation of health care programmes. New York: Oxford University Press; 2005. Drummond M, Sculpher M, Torrance G, O'Brien B, Stoddart G. Methods for the economic evaluation of health care programmes. New York: Oxford University Press; 2005.
59.
Zurück zum Zitat Schackman BR. Cost-effectiveness of pre-exposure prophylaxis for HIV: a review. Curr Opin HIV AIDS. 2012;7:587–92.CrossRefPubMed Schackman BR. Cost-effectiveness of pre-exposure prophylaxis for HIV: a review. Curr Opin HIV AIDS. 2012;7:587–92.CrossRefPubMed
Metadaten
Titel
The cost-effectiveness of oral HIV pre-exposure prophylaxis and early antiretroviral therapy in the presence of drug resistance among men who have sex with men in San Francisco
verfasst von
Mingwang Shen
Yanni Xiao
Libin Rong
Lauren Ancel Meyers
Steven E. Bellan
Publikationsdatum
01.12.2018
Verlag
BioMed Central
Erschienen in
BMC Medicine / Ausgabe 1/2018
Elektronische ISSN: 1741-7015
DOI
https://doi.org/10.1186/s12916-018-1047-1

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