School of Mathematical Sciences, Queen Mary University of London, United Kingdom.
J Theor Biol. 2020 Dec 7;506:110450. doi: 10.1016/j.jtbi.2020.110450. Epub 2020 Aug 16.
Pooling of samples can increase lab capacity when using Polymerase chain reaction (PCR) to detect diseases such as COVID-19. However, pool testing is typically performed via an adaptive testing strategy which requires a feedback loop in the lab and at least two PCR runs to confirm positive results. This can cost precious time. We discuss a non-adaptive testing method where each sample is distributed in a prescribed manner over several pools, and which yields reliable results after one round of testing. More precisely, assuming knowledge about the overall incidence rate, we calculate explicit error bounds on the number of false positives which scale favourably with pool size and sample multiplicity. This allows for hugely streamlined PCR testing and cuts in detection times for a large-scale testing scenario. A viable consequence of this method could be real-time screening of entire communities, frontline healthcare workers and international flight passengers, for example, using the PCR machines currently in operation.
当使用聚合酶链反应(PCR)来检测 COVID-19 等疾病时,样本汇集可以增加实验室的检测能力。然而,通常采用适应性检测策略进行池检测,这需要实验室和至少两个 PCR 运行的反馈循环来确认阳性结果。这可能会浪费宝贵的时间。我们讨论了一种非适应性检测方法,其中每个样本以规定的方式分布在几个池中,并且在一轮测试后即可获得可靠的结果。更准确地说,假设我们对总体发病率有一定的了解,我们可以计算出假阳性数量的明确误差界限,这些界限与池大小和样本数量成比例,有利于池检测。这使得大规模检测场景中的 PCR 检测大大简化,并且可以减少检测时间。这种方法的一个可行的结果可能是使用当前运行的 PCR 机器实时对整个社区、一线医护人员和国际航班乘客进行筛查。