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Shannon, Rényie and Tsallis entropy analysis of DNA using phase plane. (English) Zbl 1231.92034
Summary: This paper analyzes DNA information using entropy and phase plane concepts. First, the DNA code is converted into a numerical format by means of histograms that capture DNA sequence lengths ranging from one up to ten bases. This strategy measures dynamical evolutions from 4 up to $4^{10}$ signal states. The resulting histograms are analyzed using three distinct entropy formulations namely the Shannon, Rényie and Tsallis definitions. Charts of entropy versus sequence length are applied to a set of twenty four species, characterizing 486 chromosomes. The information is synthesized and visualized by adapting phase plane concepts leading to a categorical representation of chromosomes and species.

92C40Biochemistry, molecular biology
94A17Measures of information, entropy
Full Text: DOI
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