Multifractal analysis of genomes sequences' CGR graph / 生物医学工程学杂志

ABSTRACT

To describe the fractal feature of CGR (Chaos-game representation) graph of genomes sequences, a multifractal theory is presented in the analysis. By studying the effect of three probability sets on the scale invariance range, the probability set with the best scale invariance is chosen, and then the smooth general dimension spectrum and multifractal spectrum are calculated. The experimental result shows that the probability set composed of the relative probability has the best scale-invariance performance. The scale invariance has three different variance regions, which indicate that genomes sequence segments with different lengths have different distribution rules. It is concluded that the multifractal method is effective for describing the fractal feature of CGR graph of genomes sequences.