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arXiv 1909.02695q-bio.MNphysics.data-an
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癌细胞基因群落的谱分析

Spectral analysis for gene communities in cancer cells

Ayumi Kikkawa

摘要:

我们通过邻接矩阵的谱分析来研究各种癌细胞中的基因相互作用网络。我们观察到网络在枢纽基因上的定位,这些基因具有非常多的链接。当中心度超过一个临界值$d_c \simeq 40$时,特征向量中心度只在特殊节点上取有限值.度相关性函数显示了度大时的离散行为,并且度$d \gtrsim 40$的节点倾向于链接到度小的节点。以中心基因为中心的基因网络社区通过连接节点之间的节点度差异量来提取。我们验证了最近邻特征值间距分布$P(s)$在度差异较小的社区中的Wigner-Dyson分布,以及$P(s)$在度差异较大的社区(包括枢纽)中的Poisson分布。

英文摘要:

We investigate gene interaction networks in various cancer cells by spectral analysis of the adjacency matrices. We observe localization of the networks on hub genes which have extraordinarily many links. The eigenvector centralities take finite values only on special nodes when the hub degree exceeds a critical value $d_c \simeq 40$. The degree correlation function shows the disassortative behavior in the large degrees, and the nodes whose degrees $d \gtrsim 40$ have tendencies to link to small degree nodes. The communities of the gene networks centered at the hub genes are extracted by the amount of node degree discrepancies between linked nodes. We verify the Wigner-Dyson distribution of the nearest neighbor eigenvalues spacing distribution $P(s)$ in the small degree discrepancy communities, and the Poisson $P(s)$ in the communities of large degree discrepancies including the hubs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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