How cells grow and divide: mathematical analysis confirms demand for the cell cycle

How cells grow and divide: mathematical analysis confirms demand for the cell cycle
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细胞如何生长和分裂:数学分析证实了细胞周期的需求

DOI:
10.1088/1751-8113/45/13/135101
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发表时间:
2012
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
M. Y. Choi
M. Y. Choi
中科院分区:
--
文献类型:
--
作者:
H. W. Kwon;M. Y. Choi

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真核生物通常通过细胞生长和分裂来生长。细胞如何生长和分裂对生命至关重要,因为太小或太大的细胞都不能很好地发挥作用。为了使生物体即使在细胞生长和分裂过程彼此独立的条件下也能存活,细胞必须具有适当的生长因子、生长速率和分裂速率。为了确定它们,我们推导出一个时间演化方程的大小分布的细胞从主方程描述的细胞大小的变化,由于生长和细胞的总数,由于分裂。结果发现,长时间的行为的时刻的大小分布划分的参数空间,包括增长因子和比的分裂率的增长率,到无限多个区域。检查每个区域的属性,我们得出结论,生长与一个小的生长因子可能是灾难性的,这表明了对细胞周期的需求,包括协调的生长和分裂过程。
Eukaryotes usually grow through cell growth and division. How cells grow and divide is essential to life because too small or too large cells cannot function well. In order for an organism to survive even under a condition where cell growth and division processes are independent of each other, cells must have an appropriate growth factor, growth rate and division rate. To determine them, we derive a time evolution equation for the size distribution of cells from the master equation describing changes in the cell size due to growth and in the total number of cells due to division. It is found that long-time behaviors of moments of the size distribution divide the parameter space, consisting of the growth factor and the ratio of the division rate to the growth rate, into infinitely many regions. Examining the properties of each region, we conclude that growth with a small growth factor may be disastrous; this demonstrates the demand for the cell cycle consisting of coordinated growth and division processes.
DOI: --
发表时间: 1985-04
影响因子: 4
作者:
J. Mitchison;P. Nurse
通讯作者: J. Mitchison;P. Nurse
DOI: 10.1101/gad.1777309
发表时间: 2009-06-15
影响因子: 10.5
作者:
Goranov, Alexi I.;Cook, Michael;Amon, Angelika
通讯作者: Amon, Angelika