Modelling And Analysis On Dynamical Behaviors Of Double-component Motifs

Since the real biological regulation networks are too complicated, it is very difficult to manipulate it in qualitative and quantitative analysis. It is feasible and meaningful to study the structure and function of the network motifs, which are abound in biological systems, relatively independent and have specific biological function. Furthermore, studying it can help researchers do some preliminary analysis and predictions for the possible phenomenon of the real and complex networks.In this paper, based on the network motifs consisting of two components, we build a model for several typical network motifs, and give a detailed analysis about the signal-response of the input-output-signals and the changes of dynamic behavior. Due to widespread existence of the double component network motifs in living beings, we focus on p53-Mdm2 feedback loop which is existent. Using the data from the related experiment the standard quasi-steady-state approximation assumption and the law of mass action, we established the mathematical model. With the help of the branch software XPPAUT and the mathematical software MATLAB, we get a detailed result of the effects of the key parameters on system dynamics behavior. We found that even for a simple double-component-network, they can make transformations between a variety of dynamic behaviors, such as monostablity,bistability and oscillation. It fully illustrates the different dynamics function of network motifs and its important role to the entire network behavior. The results of the analysis have great significance to the biological experiments, and it may also provide theoretical guidance for biological experiments.