Distribuição dos tamanhos de DNA humano codificante via teoria da informação

Abstract

We analyze the coding sequence for the Homo Sapiens DNA via a model that naturally embraces correlations among the bases in DNA sequences of living organisms. The model is based on the Shannon entropy’s optimization, which is the core of all statistical arguments. On our work , we propose the double-exponential1 distribution function of the length of DNA measured in base pairs (bp). The results show that the ShortRange-Correlations (SRC), always present in coding DNA sequences, are appropriately captured through the double-exponential distribution and adequately describes the cumulative length distribution of DNA bases. Based on this model, we use an Empirical cumulative distribution function and the database of proteins compiled by the Ensembl Project to show consistency with the data.