论文标题
有效鉴定受感染的亚人群
Efficient identification of infected sub-population
论文作者
论文摘要
在测试感染时，标准方法是单独测试每个受试者。如果测试方法是使来自多个受试者的样本可以有效地合并和测试，如果亚组中的任何一个受试者为正，则会产生积极的结果，那么与测试受试者的数量相比，人们通常可以识别受感染的亚群的测试数量较低。我们提出了两种这样的方法，即如果人口感染率为$ 10^{ - 2} $，则可以提高测试效率（根据执行的测试总数）$ \ $ 10，而当它为$ 10^{ - 3} $时。当当前冠状病毒大流行期间，测试总人群的大量部分时，这种方法可能很有用。
When testing for infections, the standard method is to test each subject individually. If testing methodology is such that samples from multiple subjects can be efficiently combined and tested at once, yielding a positive results if any one subject in the subgroup is positive, then one can often identify the infected sub-population with a considerably lower number of tests compared to the number of test subjects. We present two such methods that allow an increase in testing efficiency (in terms of total number of test performed) by a factor of $\approx$ 10 if population infection rate is $10^{-2}$ and a factor of $\approx$50 when it is $10^{-3}$. Such methods could be useful when testing large fractions of the total population, as will be perhaps required during the current coronavirus pandemic.
