Fractality of DNA texts

Anatoly S. Borovik, Alexander Yu. Grosberg, Maxim D. Frank-Kamenetskii,

Journal of Biomolecular Structure & Dynamics , 12(3), 655--669 (1995)

Abstract

By performing several statistical tests, we confirm that long-range correlation exist and are typical for long eukaryotic DNA sequences. Different types of "critical exponents" for characterization of DNA fractality are discussed. As to possible explanation of the phenomenon, our computer simulations indicate that simple mosaic structure of genome, without correlations between blocks, cannot be solely accounted for the observed statistical properties of DNA texts. We propose the concept of "fractal patchiness", which fully explains statistical observations, and shed light on the possible origin of long-range correlations in DNA sequences.