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Non-extensive Trends in the Size Distribution of Coding and Non-coding DNA Sequences in the Human Genome

Th. Oikonomou·A. Provata
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Abstract

We study the primary DNA structure of four of the most completely sequenced human chromosomes (including chromosome 19 which is the most dense in coding), using Non-extensive Statistics. We show that the exponents governing the decay of the coding size distributions vary between $5.2 \le r \le 5.7$ for the short scales and $1.45 \le q \le 1.50$ for the large scales. On the contrary, the exponents governing the decay of the non-coding size distributions in these four chromosomes, take the values $2.4 \le r \le 3.2$ for the short scales and $1.50 \le q \le 1.72$ for the large scales. This quantitative difference, in particular in the tail exponent $q$, indicates that the non-coding (coding) size distributions have long (short) range correlations. This non-trivial difference in the DNA statistics is attributed to the non-conservative (conservative) evolution dynamics acting on the non-coding (coding) DNA sequences.

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Th. Oikonomou, A. Provata. 2005-10-11. Non-extensive Trends in the Size Distribution of Coding and Non-coding DNA Sequences in the Human Genome. https://doi.org/10.1140/epjb%2Fe2006-00121-2

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