Fractal similarities between the distribution of primes and nucleotides in DNA | Zendy

Carlo Cattani | Zendy

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Fractal similarities between the distribution of primes and nucleotides in DNA

Author(s) -

Carlo Cattani

Publication year - 2020

Publication title -

proceedings of the institute of mathematics and mechanics national academy of sciences of azerbaijan

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 6

eISSN - 2409-4994

pISSN - 2409-4986

DOI - 10.29228/proc.37

Subject(s) - nucleotide , distribution (mathematics) , dna , genetics , mathematics , biology , computational biology , evolutionary biology , gene , mathematical analysis

In this paper, a simple method for the analysis of autocorrelation on symbolic-numerical 1D time series is shortly described. This method is based on the definition of a suitable indicator matrix (of correlation) and the corresponding 2D binary image, which is a special kind of recurrence plot. The main parameters of complexity and multifractality are defined on the binary images and will be used to single out the main properties of the 1D time series by characterizing the fractal parameters computed on the corresponding 2D images. The short (window) wavelet transform will be also discussed by showing that clusters of wavelet coefficients might be used to single out some more information about the existence of possible hidden rule concerning the sequence distribution. As application of this method, the multifractal analysis of the prime number distribution and nucleotide distribution in DNA will be given to single out their fractal nature and the main similarities and distinctions in between the two.

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