Large Deviation Principle Linking Lineage Statistics to Fitness in Microbial Populations
Large Deviation Principle Linking Lineage Statistics to Fitness in Microbial Populations
复制标题
将谱系统计与微生物种群适应性联系起来的大偏差原理
DOI：
10.1103/physrevlett.125.048102
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发表时间：
2020
影响因子：
8.6
通讯作者：
Amir, Ariel
中科院分区：
文献类型：
--
作者：
Levien, Ethan;GrandPre, Trevor;Amir, Ariel
在呈指数增长的微生物群体中，由于单细胞水平上的可变性，群体以低于单细胞平均倍增时间的速度翻倍。众所周知，一般来说，从单一谱系得到的世代时间分布不足以确定种群的增长率。从单一谱系中获得的观察值与人口增长率之间是否存在明确的关系？我们表明，人口的增长率可以用孤立谱系的平均值来表示。这种谱系表示与大偏差原理有关，这是指数增殖种群的一般特征。由于增长种群的大偏差结构，获得准确的增长率估计所需的谱系数量取决于谱系的持续时间，导致估计的非单调收敛，我们在合成和实验数据集中验证了这一点。
In exponentially proliferating populations of microbes, the population doubles at a rate less than the average doubling time of a single-cell due to variability at the single-cell level. It is known that the distribution of generation times obtained from a single lineage is, in general, insufficient to determine a population’s growth rate. Is there anexplicitrelationship between observables obtained from a single lineage and the population growth rate? We show that a population’s growth rate can be represented in terms of averages over isolated lineages. This lineage representation is related to a large deviation principle that is a generic feature of exponentially proliferating populations. Due to the large deviation structure of growing populations, the number of lineages needed to obtain an accurate estimate of the growth rate depends exponentially on the duration of the lineages, leading to a nonmonotonic convergence of the estimate, which we verify in both synthetic and experimental data sets.