Stationary Size Distributions of Growing Cells with Binary and Multiple Cell Division

Stationary Size Distributions of Growing Cells with Binary and Multiple Cell Division
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DOI:
10.1007/s10955-011-0305-9
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发表时间:
2011-10-01
影响因子:
1.6
通讯作者:
Valleriani, A.
Valleriani, A.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Rading, M. M.;Engel, T. A.;Valleriani, A.

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理论上考虑在恒定环境条件下生长的单细胞生物种群。对于通常的二次分裂过程,一个母细胞总是产生两个子细胞,以及对于更复杂的多重分裂过程,其中一个母细胞可以产生n=1,2,3,…的2(N)个子细胞,这些细胞的大小分布都是解析计算的。后一种分裂模式的灵感来自于单细胞藻类莱茵衣藻。整个种群对不同环境条件的一致反应编码在细胞的个别生长和分裂速度中。对该问题的分析处理是基于细胞生长的大小依赖规则和细胞分裂的随机转移过程。二分和多重划分的比较表明,这些不同的划分过程导致大小分布和种群增长率的定性结果不同。
Populations of unicellular organisms that grow under constant environmental conditions are considered theoretically. The size distribution of these cells is calculated analytically, both for the usual process of binary division, in which one mother cell produces always two daughter cells, and for the more complex process of multiple division, in which one mother cell can produce 2(n) daughter cells with n = 1, 2, 3, .... The latter mode of division is inspired by the unicellular algae Chlamydomonas reinhardtii. The uniform response of the whole population to different environmental conditions is encoded in the individual rates of growth and division of the cells. The analytical treatment of the problem is based on size-dependent rules for cell growth and stochastic transition processes for cell division. The comparison between binary and multiple division shows that these different division processes lead to qualitatively different results for the size distribution and the population growth rates.