Partitioning stable and unstable expression level variation in cell populations: A theoretical framework and its application to the T cell receptor

PLoS Comput Biol. 2020 Aug 25;16(8):e1007910. doi: 10.1371/journal.pcbi.1007910. eCollection 2020 Aug.

Abstract

Phenotypic variation in the copy number of gene products expressed by cells or tissues has been the focus of intense investigation. To what extent the observed differences in cellular expression levels are persistent or transient is an intriguing question. Here, we develop a quantitative framework that resolves the expression variation into stable and unstable components. The difference between the expression means in two cohorts isolated from any cell population is shown to converge to an asymptotic value, with a characteristic time, τT, that measures the timescale of the unstable dynamics. The asymptotic difference in the means, relative to the initial value, measures the stable proportion of the original population variance [Formula: see text]. Empowered by this insight, we analysed the T-cell receptor (TCR) expression variation in CD4 T cells. About 70% of TCR expression variance is stable in a diverse polyclonal population, while over 80% of the variance in an isogenic TCR transgenic population is volatile. In both populations the TCR levels fluctuate with a characteristic time of 32 hours. This systematic characterisation of the expression variation dynamics, relying on time series of cohorts' means, can be combined with technologies that measure gene or protein expression in single cells or in bulk.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • CD4-Positive T-Lymphocytes / immunology*
  • Cell Separation
  • Flow Cytometry
  • Mice
  • Mice, Inbred C57BL
  • Mice, Transgenic
  • Receptors, Antigen, T-Cell / immunology*

Substances

  • Receptors, Antigen, T-Cell

Grants and funding

This work was supported by a grant from the Fundação para a Ciência e Tecnologia (FCT) (PTDC/BIA-BCM/108020/2008). TSG was supported by a fellowship from FCT (SFRH/BD/33572/2008). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.