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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 176956, 7 pages
http://dx.doi.org/10.1155/2013/176956
Research Article

Bifurcations and Dynamics of Cancer Signaling Network Regulated by MicroRNA

1School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450000, China
2Institute of Applied Mathematics, Xuchang University, Xuchang, Henan 461000, China

Received 27 August 2013; Revised 23 October 2013; Accepted 6 November 2013

Academic Editor: Jinde Cao

Copyright © 2013 Qianqian Zheng and Jianwei Shen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

MicroRNAs are currently considered as key regulators of a wide variety of biological pathways and regulate many processes of life and obtained more and more attention in recent years. In this paper, we investigate the dynamics of gene network regulated by miR-34a (microRNA) involved in triple negative feedback loop. As we know that the p53 network involve in cancer, How the cancer arise is unclear. We investigate this negative feedback network by using mathematical model and drive the theoretical results of globally asymptotic stability and provide the sufficient conditions for the periodic oscillation. These results are propitious to understand how p53 network involved in miR-34a induces the cancer.