Splitting reactions preserves nondegenerate behaviors in chemical reaction networks

Banaji, Murad ORCID logoORCID: https://orcid.org/0000-0002-4983-0377 (2023) Splitting reactions preserves nondegenerate behaviors in chemical reaction networks. SIAM Journal on Applied Mathematics, 83 (2) . pp. 748-769. ISSN 0036-1399 [Article] (doi:10.1137/22m1478392)

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A family of results, referred to as inheritance results, tell us which enlargements of a chemical reaction network (CRN) preserve its capacity for nontrivial behaviours such as multistationarity and oscillation. In this paper, the following inheritance result is proved: under mild assumptions, splitting chemical reactions and inserting complexes involving some new chemical species preserves the capacity of a mass action CRN for multiple nondegenerate equilibria and/or periodic orbits. The claim has been proved previously for equilibria alone; however, the generalisation to include oscillation involves extensive development of rather different techniques. Several inheritance results for multistationarity and oscillation in mass action CRNs, including the main result of this paper, are gathered into a single theorem. Examples are presented showing how these results can be used together to make claims about reaction networks based on knowledge of their subnetworks. The examples include some networks of biological importance.

Item Type: Article
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Keywords (uncontrolled): Applied Mathematics, chemical reaction networks, oscillation, multistationarity, perturbation theory
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 37966
Notes on copyright: Copyright © 2023 Society for Industrial and Applied Mathematics.
This is an accepted manuscript of a paper published in the SIAM Journal on Applied Mathematics in Vol. 83, Iss. 2 (2023), published by the Society for Industrial and Applied Mathematics (SIAM)
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Depositing User: Jisc Publications Router
Date Deposited: 09 May 2023 12:28
Last Modified: 16 Jun 2023 10:07
URI: https://eprints.mdx.ac.uk/id/eprint/37966

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