Title
Complex Dynamical Analysis Of A Coupled Network From Innate Immune Responses
Abstract
In this paper, we investigate the complex dynamical behaviors of a biological network that is derived from innate immune responses and that couples positive and negative feedback loops. The stability conditions of the non-negative equilibrium points (EPs) of the system are obtained, using the theory of dynamical systems, and we deduce that no more than three stable EPs exist in this system. Through bifurcation analysis and numerical simulations, we find that the system presents rich dynamical behaviors, such as monostability, bistability and oscillations. These results reveal how positive and negative feedback cooperatively regulate the dynamical behavior of the system.
Year
DOI
Venue
2013
10.1142/S0218127413501800
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Dynamical behavior, positive and negative feedback loops, dynamical theory, bifurcation analysis
Journal
23
Issue
ISSN
Citations 
11
0218-1274
6
PageRank 
References 
Authors
0.72
1
2
Name
Order
Citations
PageRank
Jinying Tan160.72
Xiufen Zou227225.44