Growing from a few cells: combined effects of initial stochasticity and cell-to-cell variability
Growing from a few cells: combined effects of initial stochasticity and cell-to-cell variability
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DOI：
10.1098/rsif.2018.0935
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发表时间：
2019-04-01
影响因子：
3.9
通讯作者：
Baroud, Charles N.
中科院分区：
文献类型：
--
作者：
Barizien, A.;Jammalamadaka, M. S. Suryateja;Baroud, Charles N.
尽管在单细胞水平上分裂过程是随机的，但从大量接种物中细胞群的生长似乎是确定性的。然而，微流体观察显示小种群的生长存在很大差异。在这里，我们结合联合收割机理论，模拟和实验，探索单细胞随机性和人口增长之间的联系，从一个小的个人数量。该研究产生的描述符的概率分布函数（PDF）的人口规模的随机性的三个来源：细胞到细胞的变异性，初始细胞的数量和代依赖的分裂时间的不确定性。的PDF，重新调整到占人口的指数增长，收敛到一个固定的分布。PDF的所有时刻都以相同的增长率呈指数增长，这仅取决于细胞间的变异性。然而，PDF的形状包含了所有随机性来源的特征，并且是由生长的早期阶段决定的，而不是由细胞间的变异性决定的。因此，可以获得细菌种群生长的概率预测，其对自然发生的条件和单细胞微流体技术应用的影响。
The growth of a cell population from a large inoculum appears deterministic, although the division process is stochastic at the single-cell level. Microfluidic observations, however, display wide variations in the growth of small populations. Here we combine theory, simulations and experiments to explore the link between single-cell stochasticity and the growth of a population starting from a small number of individuals. The study yields descriptors of the probability distribution function (PDF) of the population size under three sources of stochasticity: cell-to-cell variability, uncertainty in the number of initial cells and generation-dependent division times. The PDF, rescaled to account for the exponential growth of the population, is found to converge to a stationary distribution. All moments of the PDF grow exponentially with the same growth rate, which depends solely on cell-to-cell variability. The shape of the PDF, however, contains the signature of all sources of stochasticity, and is dominated by the early stages of growth, and not by the cell-to-cell variability. Thus, probabilistic predictions of the growth of bacterial populations can be obtained with implications for both naturally occurring conditions and technological applications of single-cell microfluidics.