2016/11/23 by Jie Lin, Ariel Amir, Lin, Jie +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Social Sciences · Mathematics · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Mathematical Biology Tumor Growth
paper · pdf · doi:10.48550/arxiv.1611.07989
Establishing a quantitative connection between the population growth rate and\nthe generation times of single cells is a prerequisite for understanding\nevolutionary dynamics of microbes. However, existing theories fail to account\nfor the experimentally observed correlations between mother-daughter generation\ntimes that are unavoidable when cell size is controlled for - which is\nessentially always the case. Here, we study population-level growth in the\npresence of cell size control and corroborate our theory using experimental\nmeasurements of single-cell growth rates. We derive a closed formula for the\npopulation growth rate and demonstrate that it only depends on the single-cell\ngrowth rate variability, not other sources of stochasticity. Our work provides\nan evolutionary rationale for the narrow growth rate distributions often\nobserved in nature: when single-cell growth rates are less variable but have a\nfixed mean, the population will exhibit an enhanced population growth rate, as\nlong as the correlations between the mother and daughter cells' growth rates\nare not too strong.\n