Structural conditions for oscillations and multistationarity in aggregate monotone systems
(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:
https://lup.lub.lu.se/record/8261efe7-4883-4cca-84df-c861ae4e7f98
- author
- Blanchini, Franco ; Franco, Elisa and Giordano, Giulia LU
- organization
- publishing date
- 2015-12
- 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}}, }