Arita Masanori
Department of Computational Biology, Graduate School of Frontier Sciences, The University of Tokyo, Kashiwanoha 5-1-5 CB05, Kashiwa.
J Biochem. 2005 Jul;138(1):1-4. doi: 10.1093/jb/mvi094.
The notion of scale-freeness and its prevalence in both natural and artificial networks have recently attracted much attention. The concept of scale-freeness is enthusiastically applied to almost any conceivable network, usually with affirmative conclusions. Well-known scale-free examples include the internet, electric lines among power plants, the co-starring of movie actors, the co-authorship of researchers, food webs, and neural, protein-protein interactional, genetic, and metabolic networks. The purpose of this review is to clarify the relationship between scale-freeness and power-law distribution, and to assess critically the previous related works, especially on biological networks. In addition, I will focus on the close relationship between power-law distribution and lognormal distribution to show that power-law distribution is not a special characteristic of natural selection.
无标度性的概念及其在自然网络和人工网络中的普遍存在最近引起了广泛关注。无标度性的概念被热情地应用于几乎任何可以想象的网络，通常得出肯定的结论。著名的无标度例子包括互联网、发电厂之间的电线、电影演员的共同出演、研究人员的共同署名、食物网以及神经、蛋白质 - 蛋白质相互作用、遗传和代谢网络。这篇综述的目的是阐明无标度性与幂律分布之间的关系，并批判性地评估先前的相关工作，特别是关于生物网络的工作。此外，我将关注幂律分布与对数正态分布之间的密切关系，以表明幂律分布不是自然选择的特殊特征。
