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Proceedings Paper

Wavelet analysis of DNA sequences
Author(s): Emmanuel Bacry; Alain Arneodo; Jean Francois Muzy; Pierre-Vincent Graves
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Paper Abstract

The Wavelet Transform Modulus Maxima method is used to analyze the fractal scaling properties of DNA sequences. This method, based on the definition of partition functions which use the values of the wavelet transform at its modulus maxima, allows to determine accurately the singularity spectrum of a given singular signal. By considering analyzing wavelets that make the wavelet transform microscope blind to `patches' of different nucleotide compositions which are ubiquitous to genomic sequences, we demonstrate and quantify the existence of long-range correlations in the noncoding regions. The fluctuations around the patchy landscapes of the DNA walks reconstructed from both the noncoding and coding regions are found to have Gaussian statistics. Whereas the fluctuations from the former behave like fractional brownian motions, those of the latter cannot be distinguished from uncorrelated random brownian walks.

Paper Details

Date Published: 1 September 1995
PDF: 10 pages
Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217604
Show Author Affiliations
Emmanuel Bacry, Univ. de Paris VII (France)
Alain Arneodo, Ctr. de Recherche Paul Pascal (France)
Jean Francois Muzy, Ctr. de Recherche Paul Pascal (France)
Pierre-Vincent Graves, Institut de Biologie et de Genetique Cellulaire (France)

Published in SPIE Proceedings Vol. 2569:
Wavelet Applications in Signal and Image Processing III
Andrew F. Laine; Michael A. Unser, Editor(s)

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