Literature DB >> 34290895

Counting single cells and computing their heterogeneity: from phenotypic frequencies to mean value of a quantitative biomarker.

Hong Qian1, Yu-Chen Cheng1.   

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.

Keywords:  Boltzmann’s law; chemical kinetics; large deviation principle; maximum entropy principle; variational Bayesian method

Year:  2020        PMID: 34290895      PMCID: PMC8290932          DOI: 10.1007/s40484-020-0196-3

Source DB:  PubMed          Journal:  Quant Biol        ISSN: 2095-4689


  4 in total

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Authors:  Charles H Pence
Journal:  Stud Hist Philos Biol Biomed Sci       Date:  2011-12

2.  More is different.

Authors:  P W Anderson
Journal:  Science       Date:  1972-08-04       Impact factor: 47.728

3.  The theory of open systems in physics and biology.

Authors:  L VON BERTALANFFY
Journal:  Science       Date:  1950-01-13       Impact factor: 47.728

4.  Mesoscopic kinetic basis of macroscopic chemical thermodynamics: A mathematical theory.

Authors:  Hao Ge; Hong Qian
Journal:  Phys Rev E       Date:  2016-11-30       Impact factor: 2.529

  4 in total

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