At the end of 2019 and the beginning of 2020, the COVID-19 has swept the world,...

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At the end of 2019 and the beginning of 2020, the COVID-19 has swept the world, posing a great threat to human life safety. In order to effectively control the transmission of COVID-19, nucleic acid detection is a very important and effective means. Nucleic acid detection requires a certain amount of time. When conducting large-scale nucleic acid detection, it is often too late to detect and delay the precious time to control virus transmission. For this reason, the method of mixed detection is usually used to form a group of several people, and their samples are mixed together for detection, so as to speed up the overall detection speed. If the test result of a group of samples is negative, the corresponding subjects of this group of samples are all negative. If the test result of a group of samples is positive, at least one person in this group of samples is positive, and all the tested persons in this group of samples need to be retested. When retesting, the method of single person single tube testing shall be used to determine which one or several tested persons are positive- Question1(10 points): Please establish a mathematical model and analyze how many people in a group are ideal for mixed inspection. Question 2(10 points): Collect relevant data, and use the mathematical model of question 1 to give the corresponding mixed inspection scheme. At the end of 2019 and the beginning of 2020, the COVID-19 has swept the world, posing a great threat to human life safety. In order to effectively control the transmission of COVID-19, nucleic acid detection is a very important and effective means. Nucleic acid detection requires a certain amount of time. When conducting large-scale nucleic acid detection, it is often too late to detect and delay the precious time to control virus transmission. For this reason, the method of mixed detection is usually used to form a group of several people, and their samples are mixed together for detection, so as to speed up the overall detection speed. If the test result of a group of samples is negative, the corresponding subjects of this group of samples are all negative. If the test result of a group of samples is positive, at least one person in this group of samples is positive, and all the tested persons in this group of samples need to be retested. When retesting, the method of single person single tube testing shall be used to determine which one or several tested persons are positive- Question1(10 points): Please establish a mathematical model and analyze how many people in a group are ideal for mixed inspection. Question 2(10 points): Collect relevant data, and use the mathematical model of question 1 to give the corresponding mixed inspection scheme.

Answer rating: 100% (QA)

Question 1 To establish a mathematical model lets assume that there are n individuals in the population and k tubes for mixed detection each containing m individuals samples We want to find the optima... View the full answer