ArticleJournal of theoretical biology2016
Conditions for duality between fluxes and concentrations in biochemical networks.
Article in Journal of theoretical biology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Article
- Personalized Constraint-Based Modeling of Microbial Communities from Metagenomic Data.Methods in molecular biology (Clifton, N.J.) · 2026Article
- Cardinality optimization in constraint-based modelling: application to human metabolism.Bioinformatics (Oxford, England) · 2023Article
- Genome-scale metabolic reconstruction of 7,302 human microorganisms for personalized medicine.Nature biotechnology · 2023Article
- Metabolomics and Multi-Omics Integration: A Survey of Computational Methods and Resources.Metabolites · 2020Review
- Personalized whole-body models integrate metabolism, physiology, and the gut microbiome.Molecular systems biology · 2020Article
- Creation and analysis of biochemical constraint-based models using the COBRA Toolbox v.3.0.Nature protocols · 2019Article
- Reply to "Challenges in modeling the human gut microbiome".Nature biotechnology · 2018Article
- Reliable and efficient solution of genome-scale models of Metabolism and macromolecular Expression.Scientific reports · 2017Article
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4 authors.
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Abstract
Mathematical and computational modelling of biochemical networks is often done in terms of either the concentrations of molecular species or the fluxes of biochemical reactions. When is mathematical modelling from either perspective equivalent to the other? Mathematical duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one manner. We present a novel stoichiometric condition that is necessary and sufficient for duality between unidirectional fluxes and concentrations. Our numerical experiments, with computational models derived from a range of genome-scale biochemical networks, suggest that this flux-concentration duality is a pervasive property of biochemical networks. We also provide a combinatorial characterisation that is sufficient to ensure flux-concentration duality.The condition prescribes that, for every two disjoint sets of molecular species, there is at least one reaction complex that involves species from only one of the two sets. When unidirectional fluxes and molecular species concentrations are dual vectors, this implies that the behaviour of the corresponding biochemical network can be described entirely in terms of either concentrations or unidirectional fluxes.
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