核酸检测最优分组问题研究

Optimal Grouping in Nucleic Acid Detection

从数学上论证了核酸检测中的最优分组人数问题,此人数与健康人群(核酸检测阴性)的占比有关。在占比不大于0.692 2时,逐人检测是最佳方案,否则采用混检方案恰当,其最优分组人数和健康人群占比都可通过参数t表达出来。数值分析结果呈现了一些有用、有趣的结论。最优分组人数的确定对于提高混检效率、节约成本、及早控制疫情蔓延等都具有一定现实意义。给出的最优分组人数方法可以推广应用到其他病毒的检测中,具有一定的普适性。

The optimal number of people in each group of nucleic acid detection is mathematically determined in this paper.The number is related to the proportion of healthy people,whose nucleic acid test results are negative.When the proportion is not larger than 0.6922,person-by-person detection is the best solution.Otherwise,it is more appropriate to adopt a hybrid detection scheme.The optimal number of people in each group and the proportion of healthy people can be expressed by a parameter t perfectly.Some useful and interesting results are presented by the numerical analysis results.The determination of the optimal number of people in the mixed detection has certain practical significance for improving the detection efficiency,saving cost and controlling the spread of the epidemic as soon as possible.The optimal grouping number method given in this paper can be applied to mixed detection of other viruses and is thus of certain universality.