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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 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.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of the IEEE Conference on Decision and Control
article number
7402296
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
conference location
Osaka, Japan
conference dates
2015-12-15 - 2015-12-18
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
2022-05-02 04:21:02
@inproceedings{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}},
  booktitle    = {{Proceedings of the IEEE Conference on Decision and Control}},
  isbn         = {{9781479978861}},
  language     = {{eng}},
  pages        = {{609--614}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Structural conditions for oscillations and multistationarity in aggregate monotone systems}},
  url          = {{http://dx.doi.org/10.1109/CDC.2015.7402296}},
  doi          = {{10.1109/CDC.2015.7402296}},
  year         = {{2015}},
}