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Published 25 September 2009, doi:10.1136/bmj.b3653
Cite this as: BMJ 2009;339:b3653
Johnie Rose, doctoral candidate in health services research and policy1, Rachael L Hawthorn, medical student1, Brook Watts, director, inpatient quality improvement2, Mendel E Singer, associate professor, divisions of health services research and policy, public health1
1 Case Western Reserve University School of Medicine, Department of Epidemiology and Biostatistics, 10900 Euclid Avenue/WG-57, Cleveland, OH 44106, USA, 2 Louis Stokes Cleveland Veterans Affairs Medical Center, 10701 East Boulevard (111-W), Cleveland, OH 44106, USA
Correspondence to: J Rose johnie.rose{at}case.edu
Design Decision analytical Markov model encompassing all direct medical costs. Infection risk and severity depended on age, number of previous infections, and vaccination history; probabilities of use of inpatient and outpatient health services depended on symptom severity.
Data sources Published clinical, epidemiological, and economic data. When possible, parameter estimates were based on data specific for India.
Population Simulated Indian birth cohort followed for five years.
Main outcome measures Decrease in rotavirus gastroenteritis episodes (non-severe and severe), deaths, outpatient visits, and admission to hospital; incremental cost effectiveness ratio of vaccination expressed as net cost in 2007 rupees per life year saved.
Results In the base case, vaccination prevented 28 943 (29.7%) symptomatic episodes, 6981 (38.2%) severe episodes, 164 deaths (41.0%), 7178 (33.3%) outpatient visits, and 812 (34.3%) admissions to hospital per 100 000 children. Vaccination cost 8023 rupees (about £100,
113, $165) per life year saved, less than Indias per capita gross domestic product, a common criterion for cost effectiveness. The net programme cost would be equivalent to 11.6% of the 2006-7 budget of the Indian Department of Health and Family Welfare. Model results were most sensitive to variations in access to outpatient care for those with severe symptoms. If this parameter was increased to its upper limit, the incremental cost effectiveness ratio for vaccination still fell between one and three times the per capita gross domestic product, meeting the World Health Organizations criterion for "cost effective" interventions. Uncertainty analysis indicated a 94.7% probability that vaccination would be cost effective according to a criterion of one times per capita gross domestic product per life year saved, and a 97.8% probability that it would be cost effective according to a criterion of three times per capita gross domestic product.
Conclusions Across a wide range of assumptions, mass RIX4414 vaccination in India would probably prevent substantial morbidity and mortality at a cost per life year saved below typical thresholds of cost effectiveness. The opportunity costs of such a programme in this or similar settings, however, should be weighed up carefully.
The gastroenteritis caused by rotavirus tends to be more severe than that caused by other viral pathogens. The hallmark triad of fever, diarrhoea, and emesis can bring about rapid dehydration. Indeed, severe emesis tends to preclude the use of oral rehydration in the most severe cases.11 12 This fact partially explains the high rotavirus mortality in areas where access to medical care is poor. Given the minimal impact that water and sanitation measures have had on the burden of rotavirus in developing areas, there is wide agreement that effective vaccination represents the most promising prevention strategy against the disease.13 14
Since 2004, two new oral rotavirus vaccines have been introduced: a human-bovine reassortant pentavalent rotavirus vaccine and a monovalent live attenuated human rotavirus vaccine. Both vaccines seem to stimulate protection comparable with the partial protection elicited by a single natural infection.15 16 17 We focused on live attenuated human rotavirus vaccine—also known as RIX4414—because of the more diverse population in which its efficacy has been tested and the fact that a full course of RIX4414 requires only two doses compared with the three required for the pentavalent vaccine.13
Despite the promising results generated in efficacy trials of RIX4414 in Europe and the Americas,15 16 18 the extent to which the vaccine will be effective in poorer Asian nations is unknown. A substantially higher proportion of strains found in these areas is genetically less similar to the vaccine strain in comparison with Western countries, where completed efficacy trials have occurred.19 20 Two immunogenic outer capsid proteins, VP7 and VP4, are used to classify rotaviruses into G and P serotypes, respectively. These seem to play a key (though not exclusive) role in eliciting host immune responses and have been the focus in developing existing vaccines against rotavirus. To date, epidemiological studies have identified 42 distinct strains defined by unique G-P serotype combinations.21 The vaccine is derived from a G1P[8] strain, believed to be the most common worldwide. Globally, just four strains (G1P[8], G3P[8], G4P[8], and G2P[4]) account for 88.5% of rotavirus diarrhoea. Only 68% of rotavirus cases in Asia, however, are attributable to these strains.20
Studies of both vaccines are ongoing in several developing Asian and African countries; reporting of these data is expected to begin later in 2009.22 Based on preliminary results, the World Health Organization has recently recommended inclusion of rotavirus vaccination in these countries national immunisation programmes,23 paving the way for a spate of new rotavirus vaccination programmes in some of the most vulnerable areas beginning as soon as 2010.22
Accompanying concerns about the vaccines real world effectiveness in developing settings is a daunting set of economic challenges. The current generation of rotavirus vaccines costs substantially more than traditional childhood vaccines given in these countries.22 Even with manufacturers commitments to tiered pricing,24 achieving universal vaccination in the worlds most affected areas will require substantial help from the international community.25 WHO has emphasised the need for thorough examination of economic issues in the introduction of a rotavirus vaccination programme in any developing country.26
Past models of rotavirus vaccination in developing Asian countries27 28 29 (none have been set in India) have not captured much of the complexity of rotavirus epidemiology. The model we describe here differs fundamentally in that it simulates, in a temporally explicit fashion, the sequence of events from infection to development of symptoms, use of health services, disease outcome, recovery, and reinfection for a birth cohort of heterogeneous individuals. One recent analysis used a similarly sophisticated epidemiological model to examine the impact of vaccination in Vietnam, a country with substantially lower rates of mortality from rotavirus and markedly different distributions of rotavirus strain relative to India.30 In comparison with that model, we use methods allowing us to better predict shifts in the mix of inpatient and outpatient care that might result from decreased severity of symptoms among vaccinated children who become infected.
We estimated the public health impact of mass vaccination with RIX4414 for a birth cohort in India and examined the incremental cost effectiveness and affordability of such a programme.
Possible states of individuals in the model were well, rotavirus diarrhoea, and dead (fig 1)
. At the end of each cycle spent in the well state, individuals faced a risk of rotavirus infection that could be either asymptomatic or symptomatic. Those acquiring asymptomatic infection began the next stage of the model in the well state, while those acquiring symptomatic infection began the next stage in the rotavirus diarrhoea state. In this diarrhoea state, individuals experienced either severe (Vesikari score34
11) or non-severe (score <11) symptoms, the probabilities of which were based on their history of previous infections and vaccination. Symptom severity influenced the likelihood that an individual would receive inpatient, outpatient, or home treatment. At the end of a cycle spent in the diarrhoea state, survivors could either transition to the well state or develop a new symptomatic rotavirus infection, re-entering the diarrhoea state for another cycle.
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Incidence, morbidity, and mortality
Rates of rotavirus infection (but not outcomes of infection) are similar worldwide.8 36 Accordingly, we chose to base parameters related to infection risk on a rigorous prospective study of rotavirus incidence in a cohort of 200 Mexican infants followed from birth to 24 months of age.2 Velazquez and colleagues2 closely monitored children for rotavirus infection with serial stool assays and serum immunoassays (a similar study done in west Africa did not use serum immunoassays and thus probably failed to capture a non-trivial number of infections37). Investigators recorded the time to first and subsequent infections and the severity of each infection (including asymptomatic) for each individual during follow-up. Based on the reported cumulative incidence of the nth infection at 6, 12, and 24 month intervals (table 1),
we calculated one month hazard rates and converted these to one month transition probabilities corresponding to the appropriate age interval and number of previous infections. Hazard rates for the 12 to 24 month interval formed the basis for transition probability estimates for the nth infection after the 24th cycle. Figure 2
shows the cumulative incidence of first to the third rotavirus infection produced by our model for children who were not vaccinated. Data from the same cohort also served as the basis for estimates of probabilities that those infected would experience no symptoms, non-severe symptoms, or severe symptoms with first to the third infections. Severity (or lack) of symptoms did not influence the degree of natural protection conferred against subsequent rotavirus re-infection.17 We varied parameters related to disease burden extensively in sensitivity analyses.
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Vaccine characteristics
We assumed that coverage rates for doses one and two of the vaccine would match rates for doses one and three of the diphtheria-tetanus-pertussis vaccine in India (given on the same schedule as RIX4414) (table 2
).22 31 Using a previously validated technique,40 we estimated setting specific efficacy based on serotype specific efficacy data16 41 and combined prevalence figures from northern,42 eastern,43 and southern38 India. Where the figures for serotype specific efficacy from a large trial that took place almost entirely in Latin America16 were significant, we used these. In the case of G2P4 efficacy, where results from this single trial did not reach significance, we relied on data from a recently published meta-analysis that also included data from high income countries of Europe and Singapore.41 We projected that efficacy against severe disease would be 0.804 in India (compared with 0.847 from the Latin American trial16 and 0.958 from a trial in six European countries18).
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We considered the efficacy of a single dose of RIX4414 to be 37.5% lower than that of a full two dose course.44 The annual rate of waning of efficacy was based on the differential between the first and second season efficacy in a large Latin American trial45 and converted into monthly rates for our model.
We assumed no risk of serious adverse events for those receiving the vaccine. An earlier tetravalent rhesus recombinant rotavirus vaccine, Rotashield, was removed from the market in 1999 after it was linked to an increase in intussusception events among recipients in the United States.14 The combined clinical trial and post-marketing data pertaining to RIX4414 suggest no increased rates of adverse events, including intussusception.46
Probabilities related to use of health services
Probabilities that symptomatic individuals would receive inpatient care depended on the severity of symptoms and were derived with Bayess formula with the following inputs: proportion of rotavirus inpatients in India who have severe/non-severe symptoms,38 five year cumulative incidence of severe/non-severe rotavirus infection (taken directly from the output of our model for the no vaccination strategy), and five year cumulative probability of admission to hospital for rotavirus. We estimated this last input at 1.55% by varying it until the model projected the same probability of admission given any rotavirus symptoms that Parashar et al estimated for low income countries.8 We estimated severity dependent probabilities of use of outpatient services in the same manner. Based on mean severity scores of Indian children presenting with rotavirus infection in inpatient versus outpatient settings,47 we assumed that the proportion of outpatients whose symptoms were severe would be half that of inpatients.
Using these inputs, we estimated the probability of admission given severe infection as 9.7%, the probability of admission given non-severe infection as 0.72%, the probability of outpatient treatment given severe infection as 57.5%, and the probability of outpatient treatment given non-severe infection as 14.1% (table 3).
Those not receiving any formal medical treatment were considered to have been treated at home by the family with a probability of oral rehydration solution use corresponding to known levels of oral rehydration therapy access in India.48
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4.8) per dose.24 We used this figure (converted to 2007 rupees) as a baseline estimate for the vaccines cost and varied it substantially in sensitivity analysis (table 3).We were fortunate to have recent data on direct medical, direct non-medical, and indirect costs from a study of the economic burden of rotavirus treatment in Vellore, India.47 Based on WHO guidelines for gathering cost data on treatment of diarrhoea,50 the investigators followed hospital, clinic, and emergency department patients (we combined the latter two categories into one "outpatient" category) prospectively in three facilities serving markedly different populations of patients. We weighted the costs reported for each treatment setting (inpatient or outpatient) at each facility by the reported number of encounters in each setting and facility to estimate average costs for inpatient and outpatient treatment.
Cost effectiveness analysis
We determined the incremental cost effectiveness ratio for moving from a strategy of no vaccination to a strategy of universal two dose vaccination with RIX4414. For the base case analysis, this ratio was expressed in 2007 Indian rupees per life year saved and was calculated as the difference in mean cost under the vaccination strategy compared with that under the no vaccination strategy divided by the difference in years of life lost between the two strategies. Costs and benefits were discounted at a standard annual rate of 3%, consistent with previous analyses.28 29 49 51 In a secondary analysis, we calculated the incremental cost effectiveness in terms of discounted rupees per disability adjusted life year (DALY) averted (by using standard age weighting and discounting52). Based on the age specific disability weight for diarrhoea reported in the Global Burden of Disease Study53 and a typical duration of symptoms of one week,19 we used a disability weight of 0.0023 per symptomatic episode.
Often, a threshold of one28 49 51 to two54 times a countrys per capita gross domestic product is used as a criterion to gauge whether the incremental cost of an intervention per life year saved or per DALY averted can be considered sufficiently cost effective. WHO describes interventions costing less than a countrys per capita gross domestic product per DALY averted as "very cost effective" and those costing between one and three times per capita gross domestic product as "cost effective."55 Though our main cost effectiveness measure was cost per life year saved—not per DALY averted—we chose a threshold of one times per capita gross domestic product. This approach is slightly more conservative than basing the threshold on DALYs averted as life years saved do not capture the non-financial benefits of reducing symptoms in non-fatal cases.51
Sensitivity and uncertainty analyses
To assess the overall robustness of our model and to identify influential parameters for which better empirical data are needed, we performed one way sensitivity analyses by individually varying each input parameter across the ranges shown in the tables.
To help us gauge the overall impact of parameter uncertainty, we also performed a type of uncertainty analysis, known as two dimensional probabilistic sensitivity analysis, by creating probability distributions for nearly all parameters in the model. For estimates of administration costs and for cost of the vaccine itself, we applied triangular distributions with limits of 50% and 300%, and 50% and 200%, respectively. For all other costs, we used normal distributions with 95% confidence intervals equal to plus or minus 25% of the mean. We inserted three separate constants (each with a base value of 1.0) in our model, which, when varied, affected the calculated transition probabilities for nth infection, the probabilities that infection n would cause symptoms, and the probabilities that symptoms of infection n, if present, would be severe. These three constants were varied over a normal distribution with 95% confidence limits of 0.5 and 1.5. For all other proportions and probabilities, we used β distributions with
and β parameters estimated from mean and standard error. We estimated standard errors based on the approximation that lower and upper limits used in one way sensitivity analysis represented 95% confidence limits, with ranges equal to approximately four times the standard error.56 57 One thousand probabilistically sampled parameter sets (a typical number in decision analyses58 59 60 61) were each used to simulate a cohort of 100 000 individuals. We then calculated the proportion of these 1000 samplings that would have produced results considered cost effective.
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6, $9) per person. On average, vaccination would be expected to save 0.05390 life years per person, yielding an incremental cost effectiveness ratio of 8023 rupees (or about £100,
113, $164) per life years saved (table 5)
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Figure 3
shows the individual parameters which, when varied across their full ranges, most affected the incremental cost effectiveness ratio from baseline. Increasing the probability that children with severe symptoms would present for outpatient treatment by 50% increased the ratio to 51 637 rupees per life year saved, an effect driven mainly by a 92% reduction in mortality that was independent of vaccination status. This was the only individual parameter capable of increasing the incremental cost effectiveness ratio above per capita gross domestic product. There is marked asymmetry of results for parameters which, when varied, would affect individuals in both the vaccination and no vaccination groups. In each of these cases, changes that lessen the morbidity or mortality of disease reduce the cost effectiveness of vaccination (resulting in higher incremental cost effectiveness ratios). When disease is less serious, the potential marginal health benefit of vaccination (the denominator of the incremental cost effectiveness ratio) becomes smaller. Meanwhile, marginal cost in the numerator tends to increase with less serious disease as savings on treatment costs due to vaccination become more modest.
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Alternative discount rates of 0% for costs and 0% for health benefits yielded an incremental cost effectiveness ratio of 3608 rupees per life year saved, while rates of 3% for costs and 0% for benefits yielded a ratio of 3586 rupees per life year saved.
Figure 4
shows an acceptability curve summarising the results of our uncertainty analysis. The model was run 1000 times, each time with a different probabilistically sampled parameter set. In 94.7% of those runs, the cost effectiveness ratio for vaccination fell below per capita gross domestic product, our conservative criterion for cost effectiveness. In 97.8% of model runs, the ratio fell below three times per capita gross domestic product (the level below which interventions are considered "cost effective" by WHO guidelines55).
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113, S165) per life year saved. The projected reduction in mortality was heavily influenced by changes in levels of vaccine coverage, vaccine efficacy, and probability that a severely ill child would receive outpatient care. While incremental cost effectiveness was sensitive to changes in probability of use of outpatient services for those with severe symptoms, parameters influencing disease severity, vaccine cost, case fatality rate, and vaccine efficacy, no scenario in our deterministic sensitivity analysis yielded an incremental cost effectiveness ratio greater than three times the per capita gross domestic product. Only one parameter, when varied to its upper limits, pushed the incremental cost effectiveness ratio above one times the per capita gross domestic product: the probability of outpatient care for the severely symptomatic of 0.863 (versus 0.575 in the base case). Underlying this large effect was the fact that improved access to care greatly reduced baseline rotavirus mortality, diminishing the potential mortality benefit of vaccination. Uncertainty analysis suggested that, given the combined extent of uncertainty in all parameter estimates, vaccination would satisfy a conservative one times per capita gross domestic product criterion for cost effectiveness with 94.7% probability. Furthermore, it would satisfy WHOs three times the per capita gross domestic product criterion with 97.8% probability.
Strengths of study
This study features several methodological strengths. The model simulates clinical events and use of health services in a temporally explicit fashion that incorporates the changing effects of each individuals age, infection history, and vaccination history on infection risk and response to infection. Vaccine efficacy is adjusted to account for distributions of strains specific to India. Monthly probabilities of infection are based on hazard rates calculated from a meticulously executed birth cohort study, which captured even asymptomatic infections. Use of such complete epidemiological data in a model of rotavirus infection is important given the role of asymptomatic infections in reducing risk and severity of future infections. In addition, the study benefited from the availability of recent cost data.47
We found no previously published analyses that examined the impact of rotavirus vaccination specifically in India. A study by Podewils et al published in 2005 examined the cost effectiveness of vaccination for low income Asian countries.28 We consider, though, that these investigators might have substantially overestimated the incidence of admission to hospital, leading to significant overestimation of cost savings from vaccination. They applied a one year cumulative incidence of admission for rotavirus among children aged 0-60 months11 to a hypothetical cohort of infants followed for five years by simply multiplying the incidence by five. If the closed group of children aged 0-60 months in the source study had been followed for subsequent years, however, much lower rates of admission would probably have been observed, as suggested by the fact that 98% of admissions in the source study occurred in children younger than 24 months.11
Kim et al recently published an analysis of rotavirus vaccination in Vietnam.30 Though not individual based, their model shares some key features with ours, including acquired partial immunity from past infections and the possibility of multiple rotavirus infections. The authors also drew several epidemiological parameters from the Velazquez birth cohort study of Mexican infants.2 They assumed that deaths related to rotavirus, admissions to hospital, and outpatient visits all decrease in proportion to one another under vaccination. This approach fails to take into account the effects of decreased severity of symptoms on relative rates of use of inpatient and outpatient services. Because we modelled the effects of vaccination on severity of symptoms and the effects of severity on probabilities of service use in specific settings, we could simulate the shift toward lower levels of care needed for children with rotavirus disease under vaccination (that is, larger decreases in admissions than in outpatient visits).
With their model Kim et al examined vaccination in a setting with a rate of rotavirus mortality substantially lower than that seen in India.30 This limits the applicability of their findings for countries that, like India, have the highest rates of rotavirus mortality.14 22 Parameters specific to these other high mortality countries (vaccine coverage rates, rates of service use, costs, etc) would differ from those in India. The consistency of our models conclusions over wide ranges of parameter inputs in sensitivity analysis suggests that vaccination would probably offer enormous public health benefit in many of these settings.
Irrespective of cost effectiveness, a public health intervention must also be affordable. Net of savings from reduced expenditures on subsidised treatment, we calculated that universal RIX4414 vaccination would cost the Indian Department of Health and Family Welfare 11.6bn rupees (about £140m,
160m, $240m) annually or, for context, about 11.6% of that departments 2006-7 budget.65 Whether this level of cost is acceptable is a decision to be made by country officials and the international organisations that would help finance mass vaccination. Fortunately, less expensive rotavirus vaccines might be just a few years away if the efforts of some Indian firms and officials in partnership with the National Institutes of Health, the Centers for Disease Control and Prevention, and the Program for Appropriate Technology in Health are successful. These agencies are supporting the development of candidate rotavirus vaccines based on native strains to be manufactured and used in some developing Asian countries, including India.19 24 25 Currently, the diphtheria-tetanus-pertussis and hepatitis B vaccines used in India are produced domestically for less than $1 a dose.66 Officials with a company hoping to manufacture Indias first homegrown rotavirus vaccine have likewise set a goal of producing the agent for $1 a dose.67 According to our model, a universal rotavirus vaccination programme with a per dose cost equivalent to $1 would cost 1644 rupees (£20,
23, $34) per life year saved, with a total annual cost equal to about 2.2% of the 2006-7 Indian Department of Health and Family Welfares budget. This figure does not take into account possible benefits of improved efficacy provided by a vaccine derived from native strains.
We compared universal rotavirus vaccination to the status quo of no rotavirus vaccination. Future analyses should compare the cost effectiveness of rotavirus vaccination with possible strategies using other less expensive but underused interventions to reduce child mortality. One such intervention might be expansion of micronutrient supplementation and fortification programmes. In India, deficiencies of micronutrients are reportedly associated with more deaths than rotavirus, with around 330 000 child deaths each year attributed to vitamin A deficiency alone.68 Despite this, supplementation and fortification programmes remain inadequate.68 69
Limitations
Whenever possible, we based parameter estimates on data specific for India. Incidence and severity (but not service use or mortality) parameters in our model, however, were based on the results of a Mexican birth cohort study.2 Evidence suggests that incidence rates of rotavirus infection are similar worldwide and across economic strata1 2 3 4 5 6 7 and that survival is largely a function of access to medical care.11 38 It is reasonable to expect though that average symptom severity might be greater in poorer countries, where underlying health tends to be worse, compared with severity in an upper middle income70 country like Mexico. In sensitivity analysis, we showed that any potential underestimation of disease burden would bias the analysis against the intervention. Vaccination would become twice as cost effective if infection rates, probability that infections were symptomatic, and probability that any symptoms were severe were all simultaneously increased by 50%. Less apparent is the direction of any mis-specification of severity dependent probabilities of service use. Because these types of data were not directly available in the published literature, we were forced to make inferences based partly on data specific to India38 and partly on previous estimates of rotavirus related use of health services in inpatient and outpatient settings for developing countries in general.8 In particular, the models conclusions were sensitive to variation in the probability that those with severe rotavirus disease would receive outpatient care. In the extreme, increasing this probability by 50% (from 0.575 to 0.863) would result in an incremental cost effectiveness ratio equivalent to about 1.4 times Indias per capita gross domestic product, falling between the WHOs criteria for "very cost effective" (one times per capita gross domestic product) and "cost effective" (three times per capita gross domestic product) interventions.55
Earlier live oral vaccines against rotavirus,71 72 73 74 as well as those against cholera75 76 77 and polio,78 79 have historically performed less well than expected in developing Asian and African countries. Some believe this might be because of differences in nutrition and coinfecting pathogens.14 19 24 Our model does not account for this directly. In addition to accounting for increased strain diversity, however, we performed a sensitivity analysis that showed that even with efficacy that was 15 percentage points lower against all strains, the vaccine could still save 26 750 Indian infants in a one year birth cohort and would remain similarly cost effective (11 647 rupees per life year saved).
Finally, as with previously published models of rotavirus vaccination, we did not take into account effects of herd immunity or declines in vaccine efficacy over time because of vaccination induced strain replacement.
Conclusion
Rotavirus vaccination with RIX4414 in India would prevent a substantial portion of rotavirus related morbidity, mortality, and use of health services at a cost per life year saved that would easily satisfy criteria for cost effectiveness. With WHO having recently extended their recommendation for rotavirus vaccination to developing Asian and African countries, implementation of mass vaccination programmes in these areas could begin soon, with benefits starting to accrue in a relatively short time. Even with steeply tiered pricing, though, the vaccine will probably be expensive by developing world standards. For this reason, we believe that any programme of vaccination with RIX4414 or other rotavirus vaccines with comparable cost and efficacy should be viewed as only a temporary solution until less expensive vaccines derived from native strains can be manufactured regionally. Rotavirus is only one member of a long list of killers in the developing world. Further analyses should compare vaccination with other, less expensive interventions such as expansion of micronutrient supplementation and fortification programmes to make certain that the most cost effective solutions do not go unexploited.
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Cite this as: BMJ 2009;339:b3653
Funding: JR and RLH received support from a US Department of Health and Human Services Agency for Healthcare Research and Quality institutional training grant. No other direct funding was received for this study.
Role of funder: AHRQ played no role in the design or conduct of the study, or in the decision to submit for publication.
Competing interests: None declared.
Ethical approval: Not required.
This is an open-access article distributed under the terms of the Creative Commons Attribution Non-commercial License, which permits use, distribution, and reproduction in any medium, provided the original work is properly cited, the use is non commercial and is otherwise in compliance with the license. See: http://creativecommons.org/licenses/by-nc/2.0/ and http://creativecommons.org/licenses/by-nc/2.0/legalcode.
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