Monotonicity in chemical reaction systems

Banaji, Murad (2009) Monotonicity in chemical reaction systems. Dynamical Systems, 24 (1). pp. 1-30.

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Abstract

This paper discusses the question of when the dynamical systems arising from chemical reaction networks are monotone, preserving an order induced by some proper cone. The reaction systems studied are defined by the reaction network structure while the kinetics is only constrained very weakly. Necessary and sufficient conditions on cones preserved by these systems are presented. Linear coordinate changes which make a given reaction system cooperative are characterised. Also discussed is when a reaction system restricted to an invariant subspace is cone preserving, even when the system fails to be cone preserving on the whole of phase space. Many of the proofs allow explicit construction of preserved cones. Numerous examples of chemical reaction systems are presented to illustrate the results.

Item Type: Article
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 20845
Depositing User: Murad Banaji
Date Deposited: 28 Oct 2016 08:13
Last Modified: 14 Mar 2018 08:13
URI: http://eprints.mdx.ac.uk/id/eprint/20845

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