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.
Complex systems, Hypergraphs, Spectral properties, Symmetry
265-277
Mulas, Raffaella
cf6fb0ac-cdbc-4cf3-b0ec-18baa55151bb
Sánchez-García, Rubén J
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
Macarthur, Benjamin
2c0476e7-5d3e-4064-81bb-104e8e88bb6b
October 2021
Mulas, Raffaella
cf6fb0ac-cdbc-4cf3-b0ec-18baa55151bb
Sánchez-García, Rubén J
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
Macarthur, Benjamin
2c0476e7-5d3e-4064-81bb-104e8e88bb6b
Mulas, Raffaella, Sánchez-García, Rubén J and Macarthur, Benjamin
(2021)
Geometry and symmetry in biochemical reaction systems.
Theory in Biosciences, 140 (3), .
(doi:10.1007/s12064-021-00353-7).
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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2010.01049
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Mulas2021_Article_GeometryAndSymmetryInBiochemic
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Geometry and symmetry in biochemical reaction
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Submitted date: 2 October 2020
Accepted/In Press date: 6 July 2021
e-pub ahead of print date: 15 July 2021
Published date: October 2021
Additional Information:
Funding Information:
This work was supported by The Alan Turing Institute under the EPSRC grant EP/N510129/1.
Publisher Copyright:
© 2021, The Author(s).
Keywords:
Complex systems, Hypergraphs, Spectral properties, Symmetry
Identifiers
Local EPrints ID: 449992
URI: http://eprints.soton.ac.uk/id/eprint/449992
ISSN: 1431-7613
PURE UUID: 402ed4e4-3c3c-4040-97f0-7190a741c4d0
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Date deposited: 02 Jul 2021 16:30
Last modified: 30 Oct 2023 02:56
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Author:
Raffaella Mulas
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