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Throughout the life of some examples, we will find a lot of interesting phenomenon is that of inter-circulation role relationships everywhere. In many ways, such as from a medical point of view, the human organs between phase theory of the five elements allelopathy a cycle loop effect relationship exists between them. From a mathematical point of view, many infinite recurring decimal, fractional cycle. From a music standpoint, Beat of the rhythm of each type of music is to follow a cyclical relationship. From the instrument, the ancient Greek mathematician Pythagoras discovered the relationship the musical number erhu or sanxian exist length ratio 3,4,6 a cycle. From an economic point of view, the existence of a relationship of mutual borrowing between customers, banks and enterprises. From trading activities on the Internet, a credit-trading between buyers, sellers, and third-party relationship. The course, now the site of a lot of items exchanged a cycle Barter relationship between Exchanging. There are a lot of other problems, such as TSP traveling salesman problem we often discussed, to solve the minimum cost loop; urban planning issues, and how to find the minimum overhead loop planning programs; travel agency in a scenic how to find a certain travel routes , so that each of the attractions to be visited again, and each route are minimal overhead. There are many such examples, thus forming an interaction network, this network to thousands of scientists Collaboration, social networks and Internet networks, and so a variety of complex network complexity from the simple relationship between . It is this day-to-day activities of the community on the subject of this article to give inspiration online goods exchange, for example, if you can suggest a solution, do not meet many Exchanging, so they get what they want in exchange for something you ? At the same time, you can also help each other off to view the current circumstances, the ability to change to what she wants? Based on this point of departure, the items online exchange for example to analyze and discuss. This paper presents a solution or solving model to solve the the actual goods exchange problem, and to solve the model solution is applied to the interaction between network. For example, applications to finance to solve some of the lending relationship between the bank customers, designed to solve some of the planning scheme applied to urban planning, applied to solve some of the smallest travel line overhead problem in the travel, applied to biology problems to solve some of the regulatory network as well as a number of similar problems TSP loop traveling salesman, etc.. I believe that solving these problems will bring us a lot of the actual benefits and significance. Bioinformatics protein interaction networks and gene regulatory networks, for example, to point to an area of ??the model in the field of application and explain its meaning and value. Currently, no one in the from these mutual circulating role of network related models and exhumed after the application model to study the interaction network circulation loop, which is this article innovative one place. By analyzing the relationship between online goods exchange activities, as for instance, the use of the methods of computer science, graph theory knowledge to build a new portfolio optimization model, called the barter model (AEM). On the Windows platform, using C language code, compiled in Microsoft Visual Studio 2008 platform to achieve, through numerical simulation, the validation of the model and its solution for the effectiveness of the algorithm and many Exchanging barter activities barter request. Through theoretical analysis and experimental verification of the model solution algorithm can be used to calculate contains tens of thousands of nodes and hundreds of millions on a complex network of relationships in the text, the numerical simulation of the network size has reached contains tens of thousands of nodes and several one million pairs. In terms of time complexity, space complexity and computing scale, this model is very effective, which is a highlight of the model solution algorithm. Meanwhile, in order to extend the application, this article will barter model combining complex networks, using one of the associations found algorithm Newman thinking fast algorithm applied to the Arabidopsis anther expression in bioinformatics gene regulatory networks and the human protein interaction for network (referred HPRD) through protein-protein interaction network visualization system software Osprey 1.2.0 version and display biomolecular interaction network bioinformatics software the Cytoscape 2.6.2 version of the model calculated results are analyzed and discussed. Through analysis, we learned that the mutual circulating loop characteristic of the regulatory role in the biological regulatory networks also exist. Through the application of the model, a complex biological networks is simplified. In this paper, we found protein interaction loop analysis cycle of these proteins are similar to each other, and together they completed one or more of the common functions and role. Illustrates this barter model not only can simplify complex networks, so we have a good starting point for the while loop structure has important implications for our further research, which also provides help information. Current research on gene networks have a lot of models, and they are starting from a microscopic point Boolean network model, a linear combination of the model, the weighting matrix model, Bayesian network model and differential equation model, they are from biological experiments point of view, the use of gene microarray data to study such a biological gene regulatory relationships and roles. In this paper, the barter model to solve the online exchange of goods is not a single, nor is such a biological gene regulatory networks, but from a broader network of relationships angle to the AEM and put it in the application to various relations network, to discuss and study the network design. By the arrangement of the overall structure, clearer discusses the barter model AEM proposed originally, as well as to solve the problem of online barter exchange. This barter model AEM applied to biological systems in the regulation of the relationship between network, through the application of Arabidopsis anther expression data of gene regulatory networks and the human protein interaction network regulation of the relationship between data calculated from the results of analysis illustrates The practical significance of the model, we study such a cycle regulatory relationships. Although compared to other models, may also be some of the lack of, but we start from a different angle, the point of view of practical problems, different application field angle. Believe, thinking of the model, in other issues, such as urban planning, bank borrowings, tourism and similar to some of the TSP loop or loops, the model is also a good value and practical significance, we will be at a later continue to explore and study the research work.
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