Havlin S, Buldyrev S V, Goldberger A L, Mantegna R N, Ossadnik S M, Peng C K, Simons M, Stanley H E
Department of Physics, Boston University, MA, USA.
Chaos Solitons Fractals. 1995;6:171-201. doi: 10.1016/0960-0779(95)80025-c.
Our purpose is to describe some recent progress in applying fractal concepts to systems of relevance to biology and medicine. We review several biological systems characterized by fractal geometry, with a particular focus on the long-range power-law correlations found recently in DNA sequences containing noncoding material. Furthermore, we discuss the finding that the exponent alpha quantifying these long-range correlations ("fractal complexity") is smaller for coding than for noncoding sequences. We also discuss the application of fractal scaling analysis to the dynamics of heartbeat regulation, and report the recent finding that the normal heart is characterized by long-range "anticorrelations" which are absent in the diseased heart.
我们的目的是描述在将分形概念应用于与生物学和医学相关的系统方面的一些最新进展。我们回顾了几个以分形几何为特征的生物系统，特别关注最近在包含非编码物质的DNA序列中发现的长程幂律相关性。此外，我们讨论了这样一个发现，即量化这些长程相关性（“分形复杂性”）的指数α在编码序列中比在非编码序列中更小。我们还讨论了分形标度分析在心跳调节动力学中的应用，并报告了最近的发现，即正常心脏的特征是长程“反相关性”，而患病心脏中不存在这种反相关性。
