Fractals in DNA sequence analysis
Fractals in DNA sequence analysis
复制标题
DNA 序列分析中的分形
DOI：
10.1088/1009-1963/11/12/318
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发表时间：
2002-12-01
期刊：
影响因子：
--
通讯作者：
Long, SC
中科院分区：
文献类型：
--
作者：
Yu, ZG;Vo, A;Long, SC
分形方法已成功用于研究物理、数学、工程、金融甚至生物学中的许多问题。人们对解开 DNA 之谜的兴趣日益浓厚。例如，如何区分编码序列和非编码序列，生物体的分类和进化关系问题都是生物信息学的关键问题。尽管考虑DNA序列的长程相关性已经进行了很多研究，并且其他人在这些工作中也使用了全局分形维数，但模型和方法都有些粗糙，结果并不令人满意。近年来，我们课题组将时间序列模型（统计角度）和视觉表示（几何角度）引入到DNA序列分析中。我们还使用分形维数、相关维数、赫斯特指数和维数谱（多重分形分析）来讨论该领域的问题。在本文中，我们介绍了这些分形模型和方法以及DNA序列分析的结果。
Fractal methods have been successfully used to study many problems in physics, mathematics, engineering, finance, and even in biology. There has been an increasing interest in unravelling the mysteries of DNA; for example, how can we distinguish coding and noncoding sequences, and the problems of classification and evolution relationship of organisms are key problems in bioinformatics. Although much research has been carried out by taking into consideration the long-range correlations in DNA sequences, and the global fractal dimension has been used in these works by other people, the models and methods are somewhat rough and the results are not satisfactory. In recent years, our group has introduced a time series model (statistical point of view) and a visual representation (geometrical point of view) to DNA sequence analysis. We have also used fractal dimension, correlation dimension, the Hurst exponent and the dimension spectrum (multifractal analysis) to discuss problems in this field. In this paper, we introduce these fractal models and methods and the results of DNA sequence analysis.