Multifractal information production of the human genome
Christian Beck, Astero Provata
TL;DR
This paper analyzes the multifractal properties of human genome sequences using Renyi entropies, revealing phase transition phenomena and proposing a model based on superimposed multifractal sets for coding and non-coding DNA.
Contribution
It introduces a novel theoretical model explaining the multifractal behavior of human genome sequences by superimposing coding and non-coding DNA properties.
Findings
Renyi entropies show nontrivial behavior across q values.
Phase transition-like phenomena near q=1.
Model aligns well with empirical chromosome data.
Abstract
We determine the Renyi entropies K_q of symbol sequences generated by human chromosomes. These exhibit nontrivial behaviour as a function of the scanning parameter q. In the thermodynamic formalism, there are phase transition-like phenomena close to the q=1 region. We develop a theoretical model for this based on the superposition of two multifractal sets, which can be associated with the different statistical properties of coding and non-coding DNA sequences. This model is in good agreement with the human chromosome data.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.