| RNA二级结构的数学表示及其应用 |
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| 引用本文： | 白凤兰,徐丽.RNA二级结构的数学表示及其应用[J].大连铁道学院学报,2010(6):105-108. |
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| 作者姓名： | 白凤兰 徐丽 |
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| 作者单位： | 大连交通大学理学院; |
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| 基金项目： | 辽宁省教育厅高等学校科研计划资助项目(2009A125) |
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| 摘 要： | 根据RNA二级结构的基本序列在3-D空间中定义了使核苷酸集与点集之间一一对应的映射,进而利用这个映射在3-D空间中得到了RNA二级结构的新的3-D有向图形表示,然后基于3-D有向图形表示把RNA二级结构转化为特征向量序列和L/L矩阵,提取特征向量序列的夹角余弦和的平均值和L/L矩阵的不变量（特征值）,并作为特征向量来刻画RNA二级结构,最后利用特征向量之间的距离来描述序列或结构的不变性来分析了AIMV-3等九种病毒的RNA二级结构的相似性,得到了比较好的结果.
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| 关 键 词： | RNA二级结构 向量夹角 L/L矩阵 特征值 |
Mathematical Expression and Application of RNA Secondary Structures |
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| BAI Feng-lan,XU Li.Mathematical Expression and Application of RNA Secondary Structures[J].Journal of Dalian Railway Institute,2010(6):105-108. |
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| Authors: | BAI Feng-lan XU Li |
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| Institution: | BAI Feng-lan,XU Li(School of Mathematics & Physics,Dalian Jiaotong University,Dalian 116028,China) |
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| Abstract: | According to the composition of RNA secondary structure,a map in 3-D space is defined to translate the nucleotide sequence into point set in one-on-one correspondence.Through this mapping,a new 3-D directed graphic representation of RNA secondary structure is defined to transform the RNA secondary structure into characteristic vector and L/L matrix.The average of the cosine of the characteristic vector and eigenvalue of the L/L matrix are taken as feature vectors to characterize the RNA secondary structure.... |
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| Keywords: | RNA secondary structures vector angle L/L matrix eigenvalue |
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