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Structural conditions for oscillations and multistationarity in aggregate monotone systems

Blanchini, Franco; Franco, Elisa and Giordano, Giulia LU (2015) 54th IEEE Conference on Decision and Control, CDC 2015 In Proceedings of the IEEE Conference on Decision and Control p.609-614
Abstract

We provide necessary and sufficient structural conditions for multistationarity and oscillations in aggregate monotone systems, defined as the interconnection of stable monotone components. Our classification is based on the presence of exclusively positive or exclusively negative cycles in the system aggregate graph, whose nodes are the monotone subsystems. The results presented here scale up the structural classification of oscillatory and multistationary behaviors in sign-definite biochemical networks previously proposed by the authors. Models of biomolecular systems are discussed to demonstrate the applicability of our classification.

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author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Proceedings of the IEEE Conference on Decision and Control
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
external identifiers
  • Scopus:84961990769
ISBN
9781479978861
DOI
10.1109/CDC.2015.7402296
language
English
LU publication?
no
id
8261efe7-4883-4cca-84df-c861ae4e7f98
date added to LUP
2016-07-06 15:04:50
date last changed
2016-11-28 11:56:32
@misc{8261efe7-4883-4cca-84df-c861ae4e7f98,
  abstract     = {<p>We provide necessary and sufficient structural conditions for multistationarity and oscillations in aggregate monotone systems, defined as the interconnection of stable monotone components. Our classification is based on the presence of exclusively positive or exclusively negative cycles in the system aggregate graph, whose nodes are the monotone subsystems. The results presented here scale up the structural classification of oscillatory and multistationary behaviors in sign-definite biochemical networks previously proposed by the authors. Models of biomolecular systems are discussed to demonstrate the applicability of our classification.</p>},
  author       = {Blanchini, Franco and Franco, Elisa and Giordano, Giulia},
  isbn         = {9781479978861},
  language     = {eng},
  pages        = {609--614},
  publisher    = {ARRAY(0x987a1e0)},
  series       = {Proceedings of the IEEE Conference on Decision and Control},
  title        = {Structural conditions for oscillations and multistationarity in aggregate monotone systems},
  url          = {http://dx.doi.org/10.1109/CDC.2015.7402296},
  year         = {2015},
}