Structural conditions for oscillations and multistationarity in aggregate monotone systems

Franco Blanchini; Elisa Franco; Giulia Giordano

doi:10.1109/CDC.2015.7402296

Structural conditions for oscillations and multistationarity in aggregate monotone systems

Franco Blanchini, Elisa Franco, Giulia Giordano

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

14 Citations (Scopus)

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.

Original language	English
Title of host publication	54rd IEEE Conference on Decision and Control,CDC 2015
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	609-614
Number of pages	6
ISBN (Electronic)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7402296
Publication status	Published - 8 Feb 2015
Externally published	Yes
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015 Conference number: 54

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Abbreviated title	CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 18/12/15

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10.1109/CDC.2015.7402296

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title = "Structural conditions for oscillations and multistationarity in aggregate monotone systems",

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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Blanchini, F, Franco, E & Giordano, G 2015, Structural conditions for oscillations and multistationarity in aggregate monotone systems. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402296, Institute of Electrical and Electronics Engineers (IEEE), pp. 609-614, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402296

Structural conditions for oscillations and multistationarity in aggregate monotone systems. / Blanchini, Franco; Franco, Elisa; Giordano, Giulia.

54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers (IEEE), 2015. p. 609-614 7402296.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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N2 - 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.

AB - 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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Structural conditions for oscillations and multistationarity in aggregate monotone systems

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