On the sum of chemical reactions

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Standard

On the sum of chemical reactions. / Hoessly, Linard; Wiuf, Carsten; Xia, Panqiu.

I: European Journal of Applied Mathematics, Bind 34, Nr. 2, 2023, s. 303-325.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Hoessly, L, Wiuf, C & Xia, P 2023, 'On the sum of chemical reactions', European Journal of Applied Mathematics, bind 34, nr. 2, s. 303-325. https://doi.org/10.1017/S0956792522000146

APA

Hoessly, L., Wiuf, C., & Xia, P. (2023). On the sum of chemical reactions. European Journal of Applied Mathematics, 34(2), 303-325. https://doi.org/10.1017/S0956792522000146

Vancouver

Hoessly L, Wiuf C, Xia P. On the sum of chemical reactions. European Journal of Applied Mathematics. 2023;34(2):303-325. https://doi.org/10.1017/S0956792522000146

Author

Hoessly, Linard ; Wiuf, Carsten ; Xia, Panqiu. / On the sum of chemical reactions. I: European Journal of Applied Mathematics. 2023 ; Bind 34, Nr. 2. s. 303-325.

Bibtex

@article{1799946668b9490fbadbe7b17a2ca860,
title = "On the sum of chemical reactions",
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 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 (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. ",
keywords = "graph, Markov chain, Reaction network, reduction",
author = "Linard Hoessly and Carsten Wiuf and Panqiu Xia",
note = "Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press.",
year = "2023",
doi = "10.1017/S0956792522000146",
language = "English",
volume = "34",
pages = "303--325",
journal = "European Journal of Applied Mathematics",
issn = "0956-7925",
publisher = "Cambridge University Press",
number = "2",

}

RIS

TY - JOUR

T1 - On the sum of chemical reactions

AU - Hoessly, Linard

AU - Wiuf, Carsten

AU - Xia, Panqiu

N1 - Publisher Copyright: © The Author(s), 2022. Published by Cambridge University Press.

PY - 2023

Y1 - 2023

N2 - 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 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 (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.

AB - 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 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 (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.

KW - graph

KW - Markov chain

KW - Reaction network

KW - reduction

U2 - 10.1017/S0956792522000146

DO - 10.1017/S0956792522000146

M3 - Journal article

AN - SCOPUS:85151495979

VL - 34

SP - 303

EP - 325

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

SN - 0956-7925

IS - 2

ER -

ID: 343220017