Yu Zu-Guo (喻祖国)ab, Vo Anha, Gong Zhi-Min (龚志民)b, Long Shun-Chao (龙顺湖)b
a Centre in Statistical Science and Industrial Mathematics, Queensland University of Technology, GPO Box 2434, Brisbane, Q 4001, Australia; b Department of Mathematics, Xiangtan University, Xiangtan 411105, China
Abstract 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.
Received: 26 May 2002
Revised: 28 July 2002
Accepted manuscript online:
Fund: Project supported partially by the Youth Foundation of National Natural Science Foundation of China (Grant No 10101022) and Postdoctoral Research Support Grant No 9900658 of Queensland University of Technology, Australia to Yu Zu-Guo and the Foundation of Province Educational Committee of Hunan (Grant No 99803) to Long Shun-Chao.
Cite this article:
Yu Zu-Guo (喻祖国), Vo Anh, Gong Zhi-Min (龚志民), Long Shun-Chao (龙顺湖) Fractals in DNA sequence analysis 2002 Chinese Physics 11 1313
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
