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| 基因组序列CGR图形表示的多重分形分析 | |
| 引用本文： | 符维娟,汪源源,卢大儒.基因组序列CGR图形表示的多重分形分析[J].生物医学工程学杂志,2007,24(3):522-525. |
| 作者姓名： | 符维娟 汪源源 卢大儒 |
| 作者单位： | 1. 复旦大学,物理系,上海,200433 2. 复旦大学,电子工程系,上海,200433 3. 复旦大学,生命科学院,上海,200433 |
| 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。 |
| 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 |
| 修稿时间： | 2004-10-102005-05-12 |
Multifractal Analysis of Genomes Sequences' CGR Graph |
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| Fu Weijuan,Wang Yuanyuan,Lu Daru.Multifractal Analysis of Genomes Sequences'''' CGR Graph[J].Journal of Biomedical Engineering,2007,24(3):522-525. | |
| Authors: | Fu Weijuan Wang Yuanyuan Lu Daru |
| Institution: | 1.Department of Physics,Fudan University,Shanghai 200433,China; 2 .Department of Electronic Engineering, Fudan University,Shanghai 200433,China; 3 .College of Life Science, Fudan University,Shanghai 200433,China |
| 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. |
| Keywords: | Multifractal CGR graph Probability set Scale invariance General dimension spectrum Multifractal spectrum |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |