Font Size: a A A

The Pilot Study Of Chemical Reaction Network Modeling And Statistical Properties

Posted on:2009-09-13Degree:MasterType:Thesis
Country:ChinaCandidate:B C WangFull Text:PDF
GTID:2121360242491142Subject:System theory
Abstract/Summary:PDF Full Text Request
The approximate history of the chemical reaction network's study and its derivative concludes have been introduced by this paper, the methods of complex networks have been introduced to study the chemical reactions in the metabolite process of E-coli and other organisms. In these organism's normal life activities there exists large sums of chemical reactions, how to use the complex networks' method to reveal the underlying property of such reactions would have significance toward the metabolism network's study. In order to initiate the study, three kinds of networks have been established: chemical reaction bipartite directed network, chemical reaction undirected network, chemical reaction directed network.The chemical reaction bipartite directed network has been established by using the metabolism that takes part in the reactions as the first type of vertex, chemical reactions as the second type of vertex. The directed links are established between the two types of vertex if there exists a reaction(if the reaction is invertible, the directed links will reduce to undirected links),the degree distribution of the first type vertex will demonstrate the relationship between how many reactions a certain metabolism involved and the ratio of these metabolism. In the chemical reaction bipartite directed network, the average reaction numbers from one metabolism to another will be demonstrated by the average shortest path length of this network. The fullest information of the original chemical reactions will be demonstrated by the establishment of this bipartite directed network.The chemical reaction undirected network will be established by shadowing from the original chemical reaction bipartite directed network. The metabolism is to be the vertex in this network. The Scale-free property has also been found within this network by the statistics of the degree distribution of vertexes. This is determined by the reality that only a few metabolism take part in many reactions. By another shadowing method the chemical reaction directed network has been established, the flow of materials in the metabolic process will be demonstrated by this network. The Scale-free property has also been found in this network throughout the statistics of out and in degree distribution of the network. A core structure of the chemical reaction directed network has been found by further study.
Keywords/Search Tags:Chemical reaction bipartite network, Average shortest path length, Scale-free, Small-World, Core structure
PDF Full Text Request
Related items