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Hierarchical structure of cascade of primary and secondary periodicities in Fourier power spectrum of alphoid higher order repeats.

TLDR
DFT provides a robust detection method for higher order periodicity and is robust with respect to monomer insertions and deletions, random sequence insertions etc.
Abstract
Background Identification of approximate tandem repeats is an important task of broad significance and still remains a challenging problem of computational genomics. Often there is no single best approach to periodicity detection and a combination of different methods may improve the prediction accuracy. Discrete Fourier transform (DFT) has been extensively used to study primary periodicities in DNA sequences. Here we investigate the application of DFT method to identify and study alphoid higher order repeats.

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Data Mining Techniques for the Life Sciences

TL;DR: "Data Mining Techniques for the Life Sciences" seeks to aid students and researchers in the life sciences who wish to get a condensed introduction into the vital world of biological databases and their many applications.
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Understanding Long-range Correlations in DNA Sequences

TL;DR: A review of the literature on statistical long-range correlation in DNA sequences can be found in this paper, where the authors conclude that a mixture of many length scales (including some relatively long ones) is responsible for the observed 1/f-like spectral component.

Measure representation and multifractal analysis of complete genomes

TL;DR: Spectral analyses performed indicate that these measure representations, considered as time series, exhibit strong long-range correlation and the multifractal property of the measure representation and the classification of bacteria.
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Direct mapping of symbolic DNA sequence into frequency domain in global repeat map algorithm

TL;DR: This work presents several case studies of GRM use, and presents the use of complete set of a K-string ensemble which enables a new method of direct mapping of symbolic DNA sequence into frequency domain, with straightforward identification of repeats as peaks in GRM diagram.
Journal ArticleDOI

Coexistence of different base periodicities in prokaryotic genomes as related to DNA curvature, supercoiling, and transcription.

TL;DR: The comparison with available experimental data indicates that promoters with the most pronounced periodicities may be related to the supercoiling-sensitive genes.
References
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Journal ArticleDOI

3-, 10.5-, 200- and 400-base periodicities in genome sequences

TL;DR: The above periodicities are the main hidden oscillating patterns detected so far in the genomic sequences, characteristic for the protein-coding sequences only.
Journal ArticleDOI

Interpreting correlations in biosequences

TL;DR: It is shown quantitatively that the 3-basepair-periodicity is due to the nonuniformity of the codon usage in protein coding segments, and it is shown that periodicities of 10–11 basepairs in yeast DNA originate from an alternation of hydrophobic and hydrophilic amino acids in protein sequences.

Measure representation and multifractal analysis of complete genomes

TL;DR: Spectral analyses performed indicate that these measure representations, considered as time series, exhibit strong long-range correlation and the multifractal property of the measure representation and the classification of bacteria.
Journal ArticleDOI

Short-range Order in Two Eukaryotic Genomes: Relation to Chromosome Structure

TL;DR: The results suggest that the requirements of chromosome structure place significant constraints on eukaryotic genome organization; they reveal additional signals that may be related to nucleosome positioning; and they reveal a wealth of additional new non-random aspects of genome sequence organization.
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