Exact solution of a two-type branching process: clone size distribution in cell division kinetics
Exact solution of a two-type branching process: clone size distribution in cell division kinetics
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DOI：
10.1088/1742-5468/2010/07/p07028
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发表时间：
2010-07-01
影响因子：
2.4
通讯作者：
Krapivsky, P. L.
中科院分区：
文献类型：
--
作者：
Antal, Tibor;Krapivsky, P. L.
我们研究了两种类型的分支过程，这为皮肤组织中细胞动力学的实验数据提供了很好的描述。该模型只涉及单一类型的祖细胞，也就是说，它不需要来自自我更新的干细胞群体的支持。前体细胞分裂，并可能分化为有丝分裂后细胞。我们给出了不同类型单元数母函数的精确解。然后，生成函数用于数值地确定两种类型单元的数目的依赖于时间的概率分布。在精确结果和扩散近似的基础上，我们还得到了大时间的渐近行为。
We study a two-type branching process which provides an excellent description of experimental data on cell dynamics in skin tissue. The model involves only a single type of progenitor cell, that is it does not require support from a self-renewed population of stem cells. The progenitor cells divide and may differentiate into post-mitotic cells. We derive an exact solution for the generating function of the number of cells of different types. The generating function is then used to numerically determine the time dependent probability distribution of the numbers of the two types of cells. We also deduce large time asymptotic behaviors drawing on exact results and on a diffusion approximation.