Some results on injectivity and multistationarity in chemical reaction networks

Article

Banaji, M. and Pantea, C. 2016. Some results on injectivity and multistationarity in chemical reaction networks. SIAM Journal on Applied Dynamical Systems. 15 (2), pp. 807-869. https://doi.org/10.1137/15M1034441
TypeArticle
TitleSome results on injectivity and multistationarity in chemical reaction networks
AuthorsBanaji, M. and Pantea, C.
Abstract

The goal of this paper is to gather and develop some necessary and sufficient criteria for injectivity and multistationarity in vector fields associated with a chemical reaction network under a variety of more or less general assumptions on the nature of the network and the reaction rates. The results are primarily linear algebraic or matrix-theoretic, with some graph-theoretic results also mentioned. Several results appear in, or are close to, results in the literature. Here, we emphasise the connections between the results, and where possible, present elementary proofs which rely solely on basic linear algebra and calculus. A number of examples are provided to illustrate the variety of subtly different conclusions which can be reached via different computations. In addition, many of the computations are implemented in a web-based open source platform, allowing the reader to test examples including and beyond those analysed in the paper.

PublisherSociety for Industrial and Applied Mathematics
JournalSIAM Journal on Applied Dynamical Systems
ISSN1536-0040
Publication dates
Online26 Apr 2016
Publication process dates
Deposited23 Sep 2016
Accepted08 Feb 2016
Output statusPublished
Accepted author manuscript
Additional information

Published online: 26 April 2016

Digital Object Identifier (DOI)https://doi.org/10.1137/15M1034441
LanguageEnglish
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