Universality and Shannon entropy of codon usage

Details Universality and Shannon entropy of codon usage Universality and Shannon entropy of codon usage

2003-04-25

arxiv.org/abs/cond-mat/0304577v1

Physics

Condensed Matter

Latex 25 pages, 21 figures

Scientific paper

10.1103/PhysRevE.68.061910

The distribution functions of the codon usage probabilities, computed over all the available GenBank data, for 40 eukaryotic biological species and 5 chloroplasts, do not follow a Zipf law, but are best fitted by the sum of a constant, an exponential and a linear function in the rank of usage. For mitochondriae the analysis is not conclusive. A quantum-mechanics-inspired model is proposed to describe the observed behaviour. These functions are characterized by parameters that strongly depend on the total GC content of the coding regions of biological species. It is predicted that the codon usage is the same in all exonic genes with the same GC content. The Shannon entropy for codons, also strongly depending on the exonic GC content, is computed.

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