| Abstract | Understanding the dynamics of interactions in complex biochemical networks is an important problem in modern cellular biology. Biochemical reaction networks are usually modeled by large nonlinear dynamical systems with many unknown kinetic parameters, making the models challenging for analysis. However, important properties, such as the ability of a biochemical network to oscillate can be determined by the network structure. The structure of a bipartite graph associated with a biochemical reaction network can be used to predict oscillations without knowing the kinetic parameters. We will discuss the connection between the bipartite graph of the reaction network and the bipartite graph associated with the dynamical system model. |
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