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Z曲线的理论研究
引用本文:王吉华,王保泉,张连顺,窦相华,赵立岭.Z曲线的理论研究[J].生物数学学报,2004,19(2):129-135.
作者姓名:王吉华  王保泉  张连顺  窦相华  赵立岭
作者单位:1. 德州学院,生命科学与技术研究所,山东,德州,253023
2. 曲阜师范大学,物理工程学院,山东,曲阜,273100
基金项目:The Present Study is Supported by Shangdong National Natural Science Foun-dation(90103032)
摘    要:DNA序列与正四面体(RT)中的映象点(D格点)具有对应关系.一系列D格点形成晶格(D晶格).D晶格证明是面心立方晶格,并揭示了D格点的空间分布规律.在此基础上得到Z曲线的一些特性,如Z曲线束具有S4群的对称性。Z曲线均在最大正四面体的内切球内等等.

关 键 词:D晶格  面心立方晶格  Z曲线  对称性

Theoretical Study on the Z Curves
Abstract.Theoretical Study on the Z Curves[J].Journal of Biomathematics,2004,19(2):129-135.
Authors:Abstract
Abstract:There is a corresponding relation between a mapping point (D lattice point) in the RT (regular tetrahedron) and a DNA sequence (Zhang, 1991). A set of the D lattice points constructs a lattice (D lattice). The D lattice is proved to be. a face-centered cubic lattice. The space distribution law of D lattice point is revealed. Based on the results the properties of Z curve (a intuitive tool for visualizing and analyzing the DNA sequence proposed by Zhang & Zhang) can be obtained naturally. Z curve bundle has symmetry of S4 group. Z curves constrain themselves within the inscribed sphere of the biggest regular tetrahedron etc.
Keywords:D lattice  A face-centered cubic lattice  Z curve  Symmetry
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