摘要
为了更好地描述基因组序列CGR(chaos-game representation)图形的分形特征,引入多重分形理论进行分析。通过研究3种概率集对标度不变性范围的影响,选取出标度不变性最好的概率集,计算光滑的广义维数谱和多重分形谱。结果表明:以相对概率组成概率集时标度不变性最好,而且标度不变性随尺度变化可被分为3个不同的区域,这反映了基因组序列不同长度的序列片段有不同的分布规律。可见,多重分形方法可以用于描述基因组序列CGR图形的分形特征。
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.
出处
《生物医学工程学杂志》
EI
CAS
CSCD
北大核心
2007年第3期522-525,共4页
Journal of Biomedical Engineering
关键词
多重分形
CGR图形
概率集
标度不变
广义维数谱
多重分形谱
Multifractal CGR graph Probability set Scale invariance General dimension spectrum Multifractal spectrum
