基因表达中的齐普夫定律
Zipf's Law in Gene Expression
摘要：
使用来自各种生物和组织的基因表达数据库的数据，包括酵母、线虫、人类正常和癌组织以及胚胎干细胞，我们发现表达基因的丰度呈现指数接近-1的幂律分布，即，他们遵守齐普夫定律。此外，通过对具有细胞内反应网络的简单模型的模拟，我们发现Zipf化学丰度定律是细胞的普遍特征，这种网络优化了自我繁殖的效率和忠诚度。这些发现为活细胞中反应动力学的组织性质提供了新的见解。
英文摘要：
Using data from gene expression databases on various organisms and tissues, including yeast, nematodes, human normal and cancer tissues, and embryonic stem cells, we found that the abundances of expressed genes exhibit a power-law distribution with an exponent close to -1, i.e., they obey Zipf's law. Furthermore, by simulations of a simple model with an intra-cellular reaction network, we found that Zipf's law of chemical abundance is a universal feature of cells where such a network optimizes the efficiency and faithfulness of self-reproduction. These findings provide novel insights into the nature of the organization of reaction dynamics in living cells.
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