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 molecula...

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Bibliographic Details
Main Authors: MacArthur, B.D (Author), Mulas, R. (Author), Sánchez-García, R.J (Author)
Format: Article
Language:English
Published: Springer Science and Business Media Deutschland GmbH 2021
Subjects:
Online Access:View Fulltext in Publisher
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020 |a 14317613 (ISSN) 
245 1 0 |a Geometry and symmetry in biochemical reaction systems 
260 0 |b Springer Science and Business Media Deutschland GmbH  |c 2021 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1007/s12064-021-00353-7 
520 3 |a 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. © 2021, The Author(s). 
650 0 4 |a algorithm 
650 0 4 |a Algorithms 
650 0 4 |a Complex systems 
650 0 4 |a Hypergraphs 
650 0 4 |a Spectral properties 
650 0 4 |a Symmetry 
700 1 |a MacArthur, B.D.  |e author 
700 1 |a Mulas, R.  |e author 
700 1 |a Sánchez-García, R.J.  |e author 
773 |t Theory in Biosciences