On the sum of chemical reactions

Hoessly, Linard, Wiuf, Carsten and Xia, Panqiu 2023. On the sum of chemical reactions. European Journal of Applied Mathematics 34 (2) , pp. 303-325. 10.1017/S0956792522000146

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Abstract

It is standard in chemistry to represent a sequence of reactions by a single overall reaction, often called a complex reaction in contrast to an elementary reaction. Photosynthesis 6CO2+6H2O⟶C6H12O6+6O2 is an example of such complex reaction. We introduce a mathematical operation that corresponds to summing two chemical reactions. Specifically, we define an associative and non-communicative operation on the product space Nn0×Nn0 (representing the reactant and the product of a chemical reaction, respectively). The operation models the overall effect of two reactions happening in succession, one after the other. We study the algebraic properties of the operation and apply the results to stochastic reaction networks (RNs), in particular to reachability of states, and to reduction of RNs.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Cambridge University Press
ISSN:	0956-7925
Date of Acceptance:	26 April 2022
Last Modified:	09 Oct 2024 13:58
URI:	https://orca.cardiff.ac.uk/id/eprint/171081

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