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Geometry and symmetry in biochemical reaction systems

Geometry and symmetry in biochemical reaction systems
Geometry and symmetry in biochemical reaction systems
Complex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the language and tools of graph theory. However, graph representations only describe pairwise interactions between molecular species, and so are not well suited to modelling complex sets of reactions that may involve numerous reactants and/or products. Here we make use of a recently-developed hypergraph theory of chemical reactions that naturally allows for higher-order interactions to explore the geometry and quantify functional redundancy in biochemical reactions systems. Our results constitute a general theory of automorphisms for oriented hypergraphs and describe the effect of automorphism group structure on hypergraph Laplacian spectra.
2331-8422
Mulas, Raffaella
1ceeaad9-da27-4bb3-bd5b-4f0c7ec422e5
Sánchez-García, Rubén J.
a256a05c-a7b1-4cb1-a80b-9c54876684c9
Macarthur, Benjamin
2c0476e7-5d3e-4064-81bb-104e8e88bb6b
Mulas, Raffaella
1ceeaad9-da27-4bb3-bd5b-4f0c7ec422e5
Sánchez-García, Rubén J.
a256a05c-a7b1-4cb1-a80b-9c54876684c9
Macarthur, Benjamin
2c0476e7-5d3e-4064-81bb-104e8e88bb6b

Mulas, Raffaella, Sánchez-García, Rubén J. and Macarthur, Benjamin (2020) Geometry and symmetry in biochemical reaction systems. arXiv. (Submitted)

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Abstract

Complex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the language and tools of graph theory. However, graph representations only describe pairwise interactions between molecular species, and so are not well suited to modelling complex sets of reactions that may involve numerous reactants and/or products. Here we make use of a recently-developed hypergraph theory of chemical reactions that naturally allows for higher-order interactions to explore the geometry and quantify functional redundancy in biochemical reactions systems. Our results constitute a general theory of automorphisms for oriented hypergraphs and describe the effect of automorphism group structure on hypergraph Laplacian spectra.

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Geometry and symmetry in biochemical reaction - Other
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Submitted date: 2 October 2020

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Local EPrints ID: 449992
URI: http://eprints.soton.ac.uk/id/eprint/449992
ISSN: 2331-8422
PURE UUID: 402ed4e4-3c3c-4040-97f0-7190a741c4d0

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Date deposited: 02 Jul 2021 16:30
Last modified: 12 Jan 2022 17:50

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Contributors

Author: Raffaella Mulas
Author: Rubén J. Sánchez-García

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