Determining the structural properties of a class of biological models
(2012) 51st IEEE Conference on Decision and Control, CDC 2012 p.5505-5510- Abstract
A property for a class of systems is said to be structural if it is met by any system in the class regardless of the adopted parameters. In this paper we investigate the structural nature of oscillatory behaviors, adaptation and monotonicity in a class of sign-invariant systems, capturing a wide variety of biological models. We employ standard robustness analysis tools, suitably tailored to the category of sign definite dynamics, i.e. in which terms are monotonic with respect to all arguments. In particular, our results are based on Jacobian analysis and invariant sets, and we are able to provide simple criteria to determine whether a system structurally admits Hopf-type bifurcations, perfect adaptation or monotonic behavior. Such... (More)
A property for a class of systems is said to be structural if it is met by any system in the class regardless of the adopted parameters. In this paper we investigate the structural nature of oscillatory behaviors, adaptation and monotonicity in a class of sign-invariant systems, capturing a wide variety of biological models. We employ standard robustness analysis tools, suitably tailored to the category of sign definite dynamics, i.e. in which terms are monotonic with respect to all arguments. In particular, our results are based on Jacobian analysis and invariant sets, and we are able to provide simple criteria to determine whether a system structurally admits Hopf-type bifurcations, perfect adaptation or monotonic behavior. Such criteria are easily verified numerically on a set of examples.
(Less)
- author
- Blanchini, Franco ; Franco, Elisa and Giordano, Giulia LU
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the IEEE Conference on Decision and Control
- article number
- 6427037
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 51st IEEE Conference on Decision and Control, CDC 2012
- conference location
- Maui, HI, United States
- conference dates
- 2012-12-10 - 2012-12-13
- external identifiers
-
- scopus:84874235509
- ISBN
- 978-1-4673-2065-8
- DOI
- 10.1109/CDC.2012.6427037
- language
- English
- LU publication?
- no
- id
- 0aa436e3-7206-4d44-ac9d-e82fb8a78c8a
- date added to LUP
- 2016-07-06 15:30:49
- date last changed
- 2022-01-30 04:58:43
@inproceedings{0aa436e3-7206-4d44-ac9d-e82fb8a78c8a,
abstract = {{<p>A property for a class of systems is said to be structural if it is met by any system in the class regardless of the adopted parameters. In this paper we investigate the structural nature of oscillatory behaviors, adaptation and monotonicity in a class of sign-invariant systems, capturing a wide variety of biological models. We employ standard robustness analysis tools, suitably tailored to the category of sign definite dynamics, i.e. in which terms are monotonic with respect to all arguments. In particular, our results are based on Jacobian analysis and invariant sets, and we are able to provide simple criteria to determine whether a system structurally admits Hopf-type bifurcations, perfect adaptation or monotonic behavior. Such criteria are easily verified numerically on a set of examples.</p>}},
author = {{Blanchini, Franco and Franco, Elisa and Giordano, Giulia}},
booktitle = {{Proceedings of the IEEE Conference on Decision and Control}},
isbn = {{978-1-4673-2065-8}},
language = {{eng}},
pages = {{5505--5510}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Determining the structural properties of a class of biological models}},
url = {{http://dx.doi.org/10.1109/CDC.2012.6427037}},
doi = {{10.1109/CDC.2012.6427037}},
year = {{2012}},
}