论文标题
不断增长的细胞种群的波动关系和健身景观
Fluctuation relations and fitness landscapes of growing cell populations
论文作者
论文摘要
我们基于种群中的两种不同的谱系采样，即前进和后方采样，构建不断增长的细胞群体的路径公式。我们表明，称为波动关系的一般对称关系与这两个采样有关，与用于产生细胞种群的分裂和生长的模型无关。这些关系导致人口增长率的估计量，这可以非常有效，正如我们通过对一组母机数据的分析所证明的那样。这些波动的关系导致平均分裂数量与人口加倍时间之间的普遍和重要的不平等。我们还研究了健身景观，这是一个基于上述两个抽样的概念，该概念量化了感兴趣的表型特征与分裂数量之间的相关性。当特征是年龄或大小的年龄和大小控制模型时，我们将获得明确的结果。
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.
