Qian George Y, Jombart Thibaut, John Edmunds W
Department of Engineering Mathematics, University of Bristol, United Kingdom.
Centre for Mathematical Modelling of Infectious Diseases, London School of Hygiene & Tropical Medicine, London, United Kingdom.
Vaccine X. 2023 Jun 9;14:100321. doi: 10.1016/j.jvacx.2023.100321. eCollection 2023 Aug.
Outbreaks of Marburg virus disease (MVD) are rare and small in size, with only 18 recorded outbreaks since 1967, only two of which involved more than 100 cases. It has been proposed, therefore, that Phase 3 trials for MVD vaccines should be held open over multiple outbreaks until sufficient end points accrue to enable vaccine efficacy (VE) to be calculated. Here we estimate how many outbreaks might be needed for VE to be estimated.
We adapt a mathematical model of MVD transmission to simulate a Phase 3 individually randomised placebo controlled vaccine trial. We assume in the base case that vaccine efficacy is 70% and that 50% of individuals in affected areas are enrolled into the trial (1:1 randomisation). We further assume that the vaccine trial starts two weeks after public health interventions are put in place and that cases occurring within 10 days of vaccination are not included in VE calculations.
The median size of simulated outbreaks was 2 cases. Only 0.3% of simulated outbreaks were predicted to have more than 100 MVD cases. 95% of simulated outbreaks terminated before cases accrued in the placebo and vaccine arms. Therefore the number of outbreaks required to estimate VE was large: after 100 outbreaks, the estimated VE was 69% but with considerable uncertainty (95% CIs: 0%-100%) while the estimated VE after 200 outbreaks was 67% (95% CIs: 42%-85%). Altering base-case assumptions made little difference to the findings. In a sensitivity analysis, increasing by 25% and 50% led to an estimated VE after 200 outbreaks of 69% (95% CIs: 53-85%) and 70% (95% CIs: 59-82%), respectively.
It is unlikely that the efficacy of any candidate vaccine can be calculated before more MVD outbreaks have occurred than have been recorded to date. This is because MVD outbreaks tend to be small, public health interventions have been historically effective at reducing transmission, and vaccine trials are only likely to start after these interventions are already in place. Hence, it is expected that outbreaks will terminate before, or shortly after, cases start to accrue in the vaccine and placebo arms.
马尔堡病毒病(MVD)疫情罕见且规模较小,自1967年以来仅记录了18次疫情,其中只有两次涉及100多例病例。因此,有人提议,MVD疫苗的3期试验应在多次疫情期间持续开放,直到积累足够的终点数据以计算疫苗效力(VE)。在此,我们估计估计VE可能需要多少次疫情。
我们采用MVD传播的数学模型来模拟3期个体随机安慰剂对照疫苗试验。在基础案例中,我们假设疫苗效力为70%,受影响地区50%的个体参与试验(1:1随机分组)。我们进一步假设疫苗试验在公共卫生干预措施实施两周后开始,且接种疫苗后10天内出现的病例不纳入VE计算。
模拟疫情的中位数规模为2例。预计只有0.3%的模拟疫情会有超过100例MVD病例。95%的模拟疫情在安慰剂组和疫苗组出现病例之前就已结束。因此,估计VE所需的疫情次数很多:100次疫情后,估计的VE为69%,但存在相当大的不确定性(95%置信区间:0%-100%),而200次疫情后估计的VE为67%(95%置信区间:42%-85%)。改变基础案例假设对结果影响不大。在敏感性分析中,分别增加25%和50%导致200次疫情后估计的VE分别为69%(95%置信区间:53-85%)和70%(95%置信区间:59-82%)。
在发生比迄今记录的更多的MVD疫情之前,不太可能计算出任何候选疫苗的效力。这是因为MVD疫情往往规模较小,公共卫生干预措施历来在减少传播方面有效,而且疫苗试验很可能在这些干预措施已经实施之后才开始。因此,预计疫情将在疫苗组和安慰剂组开始出现病例之前或之后不久结束。