Shannon, rényie and tsallis entropy analysis of DNA using phase plane

Costa, António Cardoso; Machado, J. A. Tenreiro; Quelhas, Dulce

http://hdl.handle.net/10400.22/1453

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Authors

Costa, António Cardoso

Machado, J. A. Tenreiro

Quelhas, Dulce

Abstract(s)

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 length ranging from one up to ten bases. This strategy measures dynamical evolutions from 4 up to 410 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.