ArticleJournal of the Royal Society, Interface2017
Making sense of snapshot data: ergodic principle for clonal cell populations.
Article in Journal of the Royal Society, Interface, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 26 papers.
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Who cites it
26 citing papers in PubMed.
- An Analytical Framework for Phenotypic Selection of Fitness-Conferring Genes.Bulletin of mathematical biology · 2026Article
- Impact of variability in cell generation times on cell-to-cell variability of protein concentrations.bioRxiv : the preprint server for biology · 2026Article
- Stochastic gene expression in proliferating cells: Differing noise intensity in single-cell and population perspectives.PLoS computational biology · 2025Article
- Resonant noise amplification in a predator-prey model with quasi-discrete generations.Scientific reports · 2024Article
- Feedback between stochastic gene networks and population dynamics enables cellular decision-making.Science advances · 2024Article
- Review
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- Studying stochastic systems biology of the cell with single-cell genomics data.bioRxiv : the preprint server for biology · 2023Article
- Article
- Analytical cell size distribution: lineage-population bias and parameter inference.Journal of the Royal Society, Interface · 2022Article
- Article
- Quantifying biochemical reaction rates from static population variability within incompletely observed complex networks.PLoS computational biology · 2022Article
- Growth-dependent heterogeneity in the DNA damage response in Escherichia coli.Molecular systems biology · 2022Article
- Single cell variability of CRISPR-Cas interference and adaptation.Molecular systems biology · 2022Article
- Coordination of gene expression noise with cell size: analytical results for agent-based models of growing cell populations.Journal of the Royal Society, Interface · 2021Article
- Microbial metabolic noise.WIREs mechanisms of disease · 2021Review
- Article
- Partitioning stable and unstable expression level variation in cell populations: A theoretical framework and its application to the T cell receptor.PLoS computational biology · 2020Article
- Fluctuation relations and fitness landscapes of growing cell populations.Scientific reports · 2020Article
- Effects of cell cycle variability on lineage and population measurements of messenger RNA abundance.Journal of the Royal Society, Interface · 2020Article
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Abstract
Population growth is often ignored when quantifying gene expression levels across clonal cell populations. We develop a framework for obtaining the molecule number distributions in an exponentially growing cell population taking into account its age structure. In the presence of generation time variability, the average acquired across a population snapshot does not obey the average of a dividing cell over time, apparently contradicting ergodicity between single cells and the population. Instead, we show that the variation observed across snapshots with known cell age is captured by cell histories, a single-cell measure obtained from tracking an arbitrary cell of the population back to the ancestor from which it originated. The correspondence between cells of known age in a population with their histories represents an ergodic principle that provides a new interpretation of population snapshot data. We illustrate the principle using analytical solutions of stochastic gene expression models in cell populations with arbitrary generation time distributions. We further elucidate that the principle breaks down for biochemical reactions that are under selection, such as the expression of genes conveying antibiotic resistance, which gives rise to an experimental criterion with which to probe selection on gene expression fluctuations.
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