基于小波变换的代谢网络比较方法

Metabolic Network Comparison Method Based on Wavelet Transformation

针对集合论的全网络比较方法仅考虑节点本身的特性这一缺陷,提出了一种新的代谢网络比较方法,能同时考虑到节点在网络拓扑结构属性方面的差异.该方法综合了7种代谢网络拓扑中心性,应用主成分分析方法选取主成分,设计了主成分分量的序列化方法,运用小波变换来研究代谢网络结构特征曲线,建立模糊函数比较不同物种的代谢网络.该方法能定量地分析代谢网络拓扑结构的相似度.通过对相似度数据分析,揭示了代谢网络的物种特异性;发现了同一进化阶段物种的代谢网络相似度远高于不同进化阶段物种之间的相似度,为代谢网络进化研究提供了数学基础.

To address the defect of only considering the node characteristics in previous comparisons of entire network based on set theory,we proposed a new method to compare metabolic networks by taking into account the differences of the properties of nodes in network topology.This method combinesd the centrality of seven topologies of the metabolic network,used principal component analysis to select principal component,and designed the sequence of the principal components method,and then used wavelet transform to study the metabolic network structure characteristic curve,and finally compared the fuzzy function metabolic networks of different species.Our method can analyze the similarity of metabolic network topology quantitatively.An analysis of the similarity data reveals the species-specificity of metabolic networks,and finds that the similarity of metabolic networks of species in the same evolution stage is much higher than that of species in different evolution stages,which provides a mathematical basis for the research of the evolution of metabolic network.