Fluctuation relations and fitness landscapes of growing cell populations
Abstract We construct a pathwise formulation of a growing population of cells, based on two different samplings of lineages within the population, namely the forward and backward samplings. We show that a general symmetry relation, called fluctuation relation relates these two samplings, independent...
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Nature Portfolio
2020
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oai:doaj.org-article:96eb7db0ddd241ec98cd1eb956a9ba712021-12-02T15:32:59ZFluctuation relations and fitness landscapes of growing cell populations10.1038/s41598-020-68444-x2045-2322https://doaj.org/article/96eb7db0ddd241ec98cd1eb956a9ba712020-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-68444-xhttps://doaj.org/toc/2045-2322Abstract We construct a pathwise formulation of a growing population of cells, based on two different samplings of lineages within the population, namely the forward and backward samplings. We show that a general symmetry relation, called fluctuation relation relates these two samplings, independently of the model used to generate divisions and growth in the cell population. These relations lead to estimators of the population growth rate, which can be very efficient as we demonstrate by an analysis of a set of mother machine data. These fluctuation relations lead to general and important inequalities between the mean number of divisions and the doubling time of the population. We also study the fitness landscape, a concept based on the two samplings mentioned above, which quantifies the correlations between a phenotypic trait of interest and the number of divisions. We obtain explicit results when the trait is the age or the size, for age and size-controlled models.Arthur GenthonDavid LacosteNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-13 (2020) |
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Medicine R Science Q Arthur Genthon David Lacoste Fluctuation relations and fitness landscapes of growing cell populations |
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Abstract We construct a pathwise formulation of a growing population of cells, based on two different samplings of lineages within the population, namely the forward and backward samplings. We show that a general symmetry relation, called fluctuation relation relates these two samplings, independently of the model used to generate divisions and growth in the cell population. These relations lead to estimators of the population growth rate, which can be very efficient as we demonstrate by an analysis of a set of mother machine data. These fluctuation relations lead to general and important inequalities between the mean number of divisions and the doubling time of the population. We also study the fitness landscape, a concept based on the two samplings mentioned above, which quantifies the correlations between a phenotypic trait of interest and the number of divisions. We obtain explicit results when the trait is the age or the size, for age and size-controlled models. |
format |
article |
author |
Arthur Genthon David Lacoste |
author_facet |
Arthur Genthon David Lacoste |
author_sort |
Arthur Genthon |
title |
Fluctuation relations and fitness landscapes of growing cell populations |
title_short |
Fluctuation relations and fitness landscapes of growing cell populations |
title_full |
Fluctuation relations and fitness landscapes of growing cell populations |
title_fullStr |
Fluctuation relations and fitness landscapes of growing cell populations |
title_full_unstemmed |
Fluctuation relations and fitness landscapes of growing cell populations |
title_sort |
fluctuation relations and fitness landscapes of growing cell populations |
publisher |
Nature Portfolio |
publishDate |
2020 |
url |
https://doaj.org/article/96eb7db0ddd241ec98cd1eb956a9ba71 |
work_keys_str_mv |
AT arthurgenthon fluctuationrelationsandfitnesslandscapesofgrowingcellpopulations AT davidlacoste fluctuationrelationsandfitnesslandscapesofgrowingcellpopulations |
_version_ |
1718387155849445376 |