{"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}
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Abstract
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.
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