Z-CURVES, AN INTUTIVE TOOL FOR VISUALIZING AND ANALYZING THE DNA-SEQUENCES
Z-CURVES, AN INTUTIVE TOOL FOR VISUALIZING AND ANALYZING THE DNA-SEQUENCES
复制标题
DOI：
10.1080/07391102.1994.10508031
复制
发表时间：
1994-02-01
影响因子：
4.4
通讯作者：
ZHANG, CT
中科院分区：
文献类型：
--
作者：
ZHANG, R;ZHANG, CT
基于正四面体的对称性，提出了一种将DNA或RNA序列映射到三维空间折叠曲线Z曲线上的新方法。对于给定的DNA序列，存在唯一的Z曲线，相反，DNA序列可以由给定的Z曲线唯一地确定。对Z曲线的性质进行了详细的研究。Z曲线丰富的折叠结构反映了DNA序列碱基分布的对称性、周期性、局部模体性和全局性。Z曲线可以用不同阶次的B样条函数进行光顺。因此，通过选择合适的样条函数，Z曲线可以具有任意的分辨率。B样条函数的阶数越高，Z曲线的分辨率越低。因此，Z曲线适用于任何长度的DNA序列的可视化和分析。Z曲线的研究为DNA序列的几何可视化和分析开辟了一个新的领域。Z曲线法一方面可以利用成熟的几何数学工具，另一方面可以利用强大的计算机图形学技术来加强。
A novel method mapping the DNA or RNA sequence into a folding curve in three dimensional space, the Z curve, has been proposed based on the symmetry of the regular tetrahedrons. There exists a unique Z curve for a given DNA sequence, on the contrary, the DNA sequence can be uniquely determined by the given Z curve. The properties of the Z curves have been studied in great details. The symmetry, the periodicity, the local motif, and the global feather of the distribution of bases of the DNA sequences are reflected by the rich folding structures of the Z curves. The Z curves may be smoothed by the B-spline functions of different orders. Therefore, the Z curves may have any resolution by choosing the suitable spline functions. The higher the order of the B-spline function chosen, the lower the resolution of the Z curve. So, the Z curves are suitable for visualizing and analyzing the DNA sequences with any length. The study of the Z curves develops further a new area to visualizing and analyzing the DNA sequences by a geometrical approach. The method of the Z curves may be strengthened by using the ripe mathematical tools of geometry on the one hand; and by using the powerful technique of the computer graphics on the other hand.