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Determining the structural properties of a class of biological models

Blanchini, Franco; Franco, Elisa and Giordano, Giulia LU (2012) 51st IEEE Conference on Decision and Control, CDC 2012 In Proceedings of the IEEE Conference on Decision and Control 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. © 2012 IEEE.

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Please use this url to cite or link to this publication:
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
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
51st IEEE Conference on Decision and Control, CDC 2012
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
2017-02-12 04:34:10
@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. © 2012 IEEE.</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},
  year         = {2012},
}