Paper Info
Title
Asymmetric Transition And Time-Scale Separation In Interlinked Positive Feedback Loops
Abstract
In [Brandman et al., 2005] it was proposed that interlinked fast and slow positive feedback loops are a frequent motif in biological signaling, because such a device can allow for a rapid response to an external stimulus (sensitivity) along with a certain noise-buffering capacity (robustness), as soon as the two loops operate on different time scales. Here we explore the properties of the nonlinear system responsible for this behavior. We argue that (a) the noise buffering is not linked to the stochastic nature of the stimulus, but only to the time scale of the stimulus variation compared to the intrinsic time scales of the system, and (b) this buffering of stimulus variations follows from the stabilization of a region of the state space away from the equilibrium branches of the system. Our analysis is based on a slow-fast decomposition of the dynamics. We analyze the strength of this buffering as a function of the time scales involved and the Boolean logic of the coupling between dynamic variables, as well as of the amplitude of the stimulus variations. We underline that such a nonequilibrium regime is universal as soon as the stimulus time scale is smaller than the larger time scale of the system, preventing the prediction of the behavior from the features of the bifurcation diagram or using a linear analysis.
Year
DOI
Venue
2011
10.1142/S0218127411029483
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Feedback loops, incomplete bifurcation, noise buffering, slow-fast decomposition
Journal
21
Issue
ISSN
Citations 
7
0218-1274
0
PageRank 
References 
Authors
0.34
2
4
Name
Order
Citations
PageRank
Pencho Yordanov181.90
Stefka Tyanova200.34
Marc-Thorsten Hütt39013.65
Annick Lesne4417.12