Multifractal information production of the human genome
Queen Mary University of London, School of Mathematical Sciences - Mile End Road, London E1 4NS, UK, EU
2 Institute of Physical Chemistry, National Center for Scientific Research “Demokritos” - 15310 Athens, Greece, EU
Accepted: 13 July 2011
We determine the Rényi entropies Kq of symbol sequences generated by human chromosomes. These exhibit non-trivial 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.
PACS: 89.75.Fb – Structures and organization in complex systems / 05.45.Df – Fractals / 87.15.A- – Theory, modeling, and computer simulation
© EPLA, 2011