多重序列突变网络系统分析与应用  

Analysis and Application of Mutation Network System of Multiple Sequence Alignment

作　　者：沈世镒[1] 胡刚[1] 王奎[1] 董骝焕[1] 

机构地区：[1]南开大学数学科学学院与LPMC,天津300071

出　　处：《工程数学学报》2006年第4期632-640,共9页Chinese Journal of Engineering Mathematics

基　　金：天津大学;南开大学联合研究项目刘徽应用数学研究中心与国家自然科学基金(1027106190208022).

摘　　要：为分析多重生物序列的突变结构,首先是要作它们的多重比对,在多重比对基础上可作出各序列的系统树与最小距离树,在最小距离树中如果把它们的弧用突变模结构来表示,那么我们称由此所产生的数学模型为多重序列突变网络系统(以下简称突变网络),突变网络分析的主要问题是如何确定各种不同类型突变的相互关系问题,一种最简单关系是二个突变的突变区域互不重叠,我们称之为正交化。因此突变网络分析的一个重要目的是对突变网络作正交化的简化,本文给出了突变网络正交化的基本定理,并以SARS病毒基因组为例,说明它们的突变网络系统模型与正交化运算,并由此得到SARS病毒从早期传播到爆发的基因突变过程的确定。Based on the multiple sequence alignment, the analysis of the biology sequence mutation structure needs a series of computations. The systematic tree and least-distance tree can be constructed by a tree topology. We presented a new topology structure to analyze the mutation structure. The new model is named as mutation network system. The main problem of mutation network system is to determine the relations of the different mutation types. The simplest relation is defined as orthogonalization, which means there is no overlap between two mutation regions. The simplification of orthogonalization in mutation network system is the focus of this paper. We presented the basic theorem of orthogonalization theory in mutation network and the application in analysis of SARS genomic sequences. The computation of orthogonalization discovers the mutation process of SARS from the early phase to middle phase.

关 键 词：多重序列突变网络系统 突变网络的正交化理论 SARS序列分析 

分 类 号：O236[理学—运筹学与控制论]