Negative feedback dynamics and oscillatory activities in regulatory biological networks

作者：Yan Shiwei^*

来源：Journal of Biological Systems, 2007, 15(2): 123-138.

DOI：10.1142/S0218339007002167

• p53-Mdm2 interaction
• negative feedback loop
• oscillatory activity

The recent experiments on the dynamics of a common biological network motif, p53 and Mdm2 feedback loop, have shown the oscillatory behaviors for the activities of p53 and Mdm2 proteins in response to DNA damage. Exploiting the nonlinear dynamics in the negative feedback loop, we propose a statistical signal-response model with an aim to describe the p53-Mdm2 interaction under certain radiation environment. We discuss the existence of Hopf bifurcation, the stability of the solutions of model equations and their sensitivity to the changes of the parameters incorporated in the model. The proposed mathematical method may have the significance in the problems where the negative and/or positive feedback dynamics, as well as the time delay have the characteristic physical and biological background.

• 出版日期2007-6
• 单位北京师范大学