放射状渗滤揭示了癌症干细胞被困在肿瘤球的核心
Radial percolation reveals that Cancer Stem Cells are trapped in the core of tumorspheres
摘要：
使用几何参数，它表明，癌症干细胞（CSC）必须被限制在实体肿瘤在自然情况下。借助基于Agent的模型和渗流理论，估计了CSC在群体边界的概率。该概率被估计为CSC自我更新概率$p_s$的函数，即CSC在有丝分裂后变成非分化的机会。在最常见的情况下，$p_s$很小，CSC大多数注定以非常低的速率产生分化的细胞。这里展示的结果表明，CSC在癌细胞集落的中心形成一个小的核心，由于缺乏增殖空间而变得静止，这稳定了它们的群体大小。这一结果提供了一个简单的解释CSC生态位的大小，无需群体感应或其他建议的信号机制。这也支持了转移可能在肿瘤发展的最开始就开始的假设。
英文摘要：
Using geometrical arguments it is shown that Cancer Stem Cells (CSC) must be confined inside solid tumors under natural situations. Aided by an agent-based model and percolation theory, the probability for a CSC to be at the border of a colony is estimated. This probability is estimated as a function of the CSCs self-renewal probability $p_s$, i.e. the chance that an CSC become non-differentiate after mitosis. In the most common situations, $p_s$ is small and CSCs are mostly destined to produce differentiated cells at a very low rate. The results presented here show that CSCs form a small core in the center of the cancer cell colony, becoming quiescent due to the lack of space to proliferate, which stabilizes their population size. This result provides a simple explanation for the CSC niche size that dispenses with the need of quorum sensing or other proposed signalling mechanisms. It is also supports the hypothesis that metastases are likely to start at the very beginning of the tumoral development.
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