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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 439089, 13 pages
http://dx.doi.org/10.1155/2012/439089
Research Article

Shannon Information and Power Law Analysis of the Chromosome Code

Department of Electrical Engineering, Institute of Engineering of Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal

Received 8 June 2012; Revised 17 August 2012; Accepted 21 August 2012

Academic Editor: Dumitru Bǎleanu

Copyright © 2012 J. A. Tenreiro Machado. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper studies the information content of the chromosomes of twenty-three species. Several statistics considering different number of bases for alphabet character encoding are derived. Based on the resulting histograms, word delimiters and character relative frequencies are identified. The knowledge of this data allows moving along each chromosome while evaluating the flow of characters and words. The resulting flux of information is captured by means of Shannon entropy. The results are explored in the perspective of power law relationships allowing a quantitative evaluation of the DNA of the species.