Poincaré recurrences of DNA sequence

Details Poincaré recurrences of DNA sequence Poincaré recurrences of DNA sequence

2011-09-02

arxiv.org/abs/1109.0436v3

Phys. Rev. E 85, 016214 (2012)

Biology

Quantitative Biology

Genomics

Research at http://www.quantware.ups-tlse.fr/, Revtex 6 pages, 5 figures, discussion updated and one figure added

Scientific paper

10.1103/PhysRevE.85.016214

We analyze the statistical properties of Poincar\'e recurrences of Homo sapiens, mammalian and other DNA sequences taken from Ensembl Genome data base with up to fifteen billions base pairs. We show that the probability of Poincar\'e recurrences decays in an algebraic way with the Poincar\'e exponent $\beta \approx 4$ even if oscillatory dependence is well pronounced. The correlations between recurrences decay with an exponent $\nu \approx 0.6$ that leads to an anomalous super-diffusive walk. However, for Homo sapiens sequences, with the largest available statistics, the diffusion coefficient converges to a finite value on distances larger than million base pairs. We argue that the approach based on Poncar\'e recurrences determines new proximity features between different species and shed a new light on their evolution history.

Affiliated with

Also associated with

No associations

Rating

Poincaré recurrences of DNA sequence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poincaré recurrences of DNA sequence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincaré recurrences of DNA sequence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687985