Multifractal Characterization of Complete Genomes
Multifractal Characterization of Complete Genomes
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DOI：
10.1088/0305-4470/34/36/301
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发表时间：
2001-09
期刊：
影响因子：
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通讯作者：
V. Anh;K. Lau;Zu-Guo Yu;Zu-Guo Yu
中科院分区：
文献类型：
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作者：
V. Anh;K. Lau;Zu-Guo Yu;Zu-Guo Yu
本文提出了一种基于测度表示的DNA序列特征化理论。的措施被证明是由一个无限可分的分布产生的随机级联。该概率分布由随机级联的多重分形理论中的指数函数唯一确定。对大量细菌的完整基因组的曲线拟合表明，伽马密度函数提供了对指数函数的极好拟合，并且因此提供了对完整基因组的概率分布的极好拟合。
This paper develops a theory for characterization of DNA sequences based on their measure representation. The measures are shown to be random cascades generated by an infinitely divisible distribution. This probability distribution is uniquely determined by the exponent function in the multifractal theory of random cascades. Curve fitting to a large number of complete genomes of bacteria indicates that the gamma density function provides an excellent fit to the exponent function, and hence to the probability distribution of the complete genomes.