Determining the structural properties of a class of biological models

Franco Blanchini, Elisa Franco, Giulia Giordano

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

19 Citations (Scopus)

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 criteria are easily verified numerically on a set of examples.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages5505-5510
Number of pages6
DOIs
Publication statusPublished - 1 Dec 2012
Externally publishedYes

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

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