{"title":"计数单细胞并计算其异质性:从表型频率到定量生物标志物的平均值。","authors":"Hong Qian, Yu-Chen Cheng","doi":"10.1007/s40484-020-0196-3","DOIUrl":null,"url":null,"abstract":"<p><p>This tutorial presents a mathematical theory that relates the probability of sample frequencies, of <i>M</i> phenotypes in an isogenic population of <i>N</i> cells, to the probability distribution of the sample mean of a quantitative biomarker, when the <i>N</i> is very large. An analogue to the statistical mechanics of canonical ensemble is discussed.</p>","PeriodicalId":74626,"journal":{"name":"","volume":"8 2","pages":"172-176"},"PeriodicalIF":0.0,"publicationDate":"2020-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8290932/pdf/nihms-1611730.pdf","citationCount":"0","resultStr":"{\"title\":\"Counting single cells and computing their heterogeneity: from phenotypic frequencies to mean value of a quantitative biomarker.\",\"authors\":\"Hong Qian, Yu-Chen Cheng\",\"doi\":\"10.1007/s40484-020-0196-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This tutorial presents a mathematical theory that relates the probability of sample frequencies, of <i>M</i> phenotypes in an isogenic population of <i>N</i> cells, to the probability distribution of the sample mean of a quantitative biomarker, when the <i>N</i> is very large. An analogue to the statistical mechanics of canonical ensemble is discussed.</p>\",\"PeriodicalId\":74626,\"journal\":{\"name\":\"\",\"volume\":\"8 2\",\"pages\":\"172-176\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-07-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8290932/pdf/nihms-1611730.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://doi.org/10.1007/s40484-020-0196-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2020/4/20 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1007/s40484-020-0196-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2020/4/20 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本教程介绍了一种数学理论,当 N 非常大时,该理论将 N 个细胞的同源群体中 M 种表型的样本频率概率与定量生物标记的样本平均值的概率分布联系起来。讨论了类似于典型集合的统计力学。
Counting single cells and computing their heterogeneity: from phenotypic frequencies to mean value of a quantitative biomarker.
This tutorial presents a mathematical theory that relates the probability of sample frequencies, of M phenotypes in an isogenic population of N cells, to the probability distribution of the sample mean of a quantitative biomarker, when the N is very large. An analogue to the statistical mechanics of canonical ensemble is discussed.