Wavelet analysis of DNA sequences

Emmanuel Bacry; Alain Arneodo; Jean Francois Muzy; Pierre-Vincent Graves

doi:10.1117/12.217604

1 September 1995 Wavelet analysis of DNA sequences

Emmanuel Bacry, Alain Arneodo, Jean Francois Muzy, Pierre-Vincent Graves

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217604
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

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.

Citation Download Citation

Emmanuel Bacry, Alain Arneodo, Jean Francois Muzy, and Pierre-Vincent Graves "Wavelet analysis of DNA sequences", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217604

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