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Correlation property of length sequences based on global structure of the complete genome

2000/06/30 by Zu-Guo Yu, Zu‐Guo Yu, Vo Anh +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Fractal and DNA sequence analysis #Machine Learning in Bioinformatics #RNA and protein synthesis mechanisms #physics.bio-ph #q-bio

paper · pdf · doi:10.1103/physreve.63.011903

published as Physical Review E, vol 63, (2001) 11903 · RevTex, 9 pages with 5 figures and 3 tables. Phys. Rev. E Jan. 1,2001 (to appear)

arxiv created 2000/10/20 · openalex publication_date 2000/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper considers three kinds of length sequences of the complete genome. Detrended fluctuation analysis, spectral analysis, and the mean distance spanned within time L are used to discuss the correlation property of these sequences. The values of the exponents from these methods of these three kinds of length sequences of bacteria indicate that the long-range correlations exist in most of these sequences. The correlations have a rich variety of behaviors including the presence of anti-correlations. Furthermore, using the exponent gamma, it is found that these correlations are all linear (gamma=1.0+/-0.03). It is also found that these sequences exhibit 1/f noise in some interval of frequency (f>1). The length of this interval of frequency depends on the length of the sequence. The shape of the periodogram in f>1 exhibits some periodicity. The period seems to depend on the length and the complexity of the length sequence.

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