Paper Info
Title
Further Results On Singularly Perturbed Monotone Systems, With An Application To Double Phosphorylation Cycles
Abstract
The theory of monotone dynamical systems has been found very useful in the modeling of some gene, protein, and signaling networks. In monotone systems, every net feedback loop is positive. On the other hand, negative feedback loops are important features of many systems, since they are required for adaptation and precision. This paper shows that, provided that these negative loops act at a comparatively fast time scale, the main dynamical property of (strongly) monotone systems, convergence to steady states, is still valid. An application is worked out to a double-phosphorylation "futile cycle" motif which plays a central role in eukaryotic cell signaling. The results significantly improve and extend those presented in our 2006 IEEE Conference on Decision and Control paper.
Year
DOI
Venue
2007
10.1109/CDC.2007.4434246
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Keywords
Field
DocType
dynamic system,biocontrol,cell signaling,feedback loop,negative feedback,feedback,steady state
Convergence (routing),Mathematical optimization,Control theory,Computer science,Negative feedback,Feedback loop,Dynamical systems theory,Monotone polygon
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
6
2
Name
Order
Citations
PageRank
Liming Wang1122.09
Eduardo D. Sontag23134781.88