What can we learn with wavelets about DNA sequences?

Alain Arneodo (1) , Yves d'Aubenton-Carafa (2) , Benjamin Audit (1) , Emmanuel Bacry (3) , Jean-François Muzy (1) , Claude Thermes (2)

1 CRPP - Centre de recherches Paul Pascal
2 CGM - Centre de génétique moléculaire
3 CMAP - Centre de Mathématiques Appliquées

We use the wavelet transform to explore the complexity of DNA sequences. Long-range correlations are clearly identified and shown to be related to the sequence GC content. The significance of this observation to gene evolution is discussed.

Mots clés: Wavelet transform; Fractal scaling; Multifractal formalism; Long-range correlations; Fractional Brownian motions; DNA sequences; Isochores

Domaines: Biophysique [physics.bio-ph]

Alain Arneodo, Yves d'Aubenton-Carafa, Benjamin Audit, Emmanuel Bacry, Jean-François Muzy, et al.. What can we learn with wavelets about DNA sequences?. Physica A: Statistical Mechanics and its Applications, 1998, 249 (1-4), pp.439-448. ⟨10.1016/s0378-4371(97)00504-9⟩. ⟨hal-01557120⟩