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迭代函数系统模型在生物序列分析中的应用
引用本文:喻祖国,Vo Anh,刘家成.迭代函数系统模型在生物序列分析中的应用[J].湘潭大学自然科学学报,2003,25(3):131-139.
作者姓名:喻祖国  Vo Anh  刘家成
作者单位:1. 湘潭大学数学系,湖南,湘潭,411105;澳大利亚昆士兰理工大学统计与规划研究室
2. 澳大利亚昆士兰理工大学统计与规划研究室
3. 香港中文大学数学系
基金项目:The research was partially supported by QUT’s Postdoctoral Research Support Grant No.9900658 and the Youth Foundation of Chinese National Natural Science Foundation(No.10101022),the RGC Earmarked Grant CUHK 4215/99P
摘    要:介绍了关于完全基因组及蛋白质序列的测度表示,迭代函数系统(IFS)模型在分形理论中已有较长时间的研究,在此我们提出用IFS模型及递归的IFS(RIFS)模型来拟合完全基因组与蛋白质序列的测度表示。我们发现在拟合完全基因组的测度表示时,RIFS模型比IFS模型好,但在拟合蛋白质序列的测度表示时IFS模型比RIFS模型好,从IFS模型或RIFS模型中估计的参数可以用来讨论与生物分类进化及蛋白质结构预测有关的问题。

关 键 词:测度表示  IFS(RIFS)模型  完全基因组  蛋白质

Application of iterated function systems model to biological sequence analysis
Vo Anh.Application of iterated function systems model to biological sequence analysis[J].Natural Science Journal of Xiangtan University,2003,25(3):131-139.
Authors:Vo Anh
Abstract:The notion of measure representation of complete genomes and protein sequences is introduced. The iterated function systems (IFS) model has been studied in fractal geometry for a long time.The IFS model and recurrent IFS (RIFS) model are proposed to simulate the measure representation of complete genomes and protein sequences. We found that the RIFS model is better than the IFS model for the simulation of the measure representation of complete genomes, but a reverse simulation occurs when we simulate the measure representation of protein sequences. The estimated parameters in IFS or RIFS model can be used to discuss some biological problems related to classification and evolutionary tree of living organisms and the prediction of protein structures.
Keywords:Measure representation  IPS (RIFS) model  complete genome  protein  
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