Abstract

ALMANZA P., Martha I; LOPEZ-LOPEZ, Karina; MORENO, Pedro A  and  TELLEZ T., Carlos E. Empirical evidences of statistical regularities and power laws in the genomes of Arabidopsis thaliana, Oriza sativa and Mus musculus. Acta Agron. [online]. 2010, vol.59, n.3, pp.257-272. ISSN 0120-2812.

The huge quantity of biological data arising from the omics disciplines and their benefit in plant breeding require of new theoretical and statistical approaches in order to get a satisfactory description of the genomes general principles. The total number of sequences in the genes of A. thaliana and O. sativa plant genomes and in M. musculus animal genome was obtained from the public data base of the Genebank through algoritms designed in Python programming language. The variables distribution use frequency and gene size, exons and intrones per chromosome and among genomes were analyzed. The results indicated that variable distribution show non lineal patterns of behavior in a power law form, which are statistically different among genomes but no among the chromosomes of the same genome. In the same manner the analysis gave evidences about the constant mean size of the exons sequences and the single genes per chromosome and among genomes. These findings suggest that, first, the genome is self-organized in the same way in the chromosomes independently of the size or the number of genes being contained; second, so the chromosomes as their constituent elements: genes, exones and intrones, have evolved all together. The study points out that the power laws have a buffer roll in the biological variation laws and provide DNA sequences organization quantitative measurements which are defining the identity of the genome. The statistical regularity of these genetic measurements has potential applications in the predicted value increase of the actual models of genetic plant breeding.

Keywords : Genomics; Power law; Arabidopsis thaliana; Oriza sativa; Mus musculus.

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