ArticleMathematical biosciences2013
Concordant chemical reaction networks and the Species-Reaction Graph.
Article in Mathematical biosciences, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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11 citing papers in PubMed.
- Cholinergic Modulation of Proteinoid Microsphere Networks as Prebiotic Depression Models.ACS physical chemistry Au · 2026Article
- What makes a reaction network "chemical"?Journal of cheminformatics · 2022Article
- A structural approach to understanding enzymatic regulation of chemical reaction networks.The Biochemical journal · 2022Review
- A numerical approach for detecting switch-like bistability in mass action chemical reaction networks with conservation laws.BMC bioinformatics · 2022Article
- Maximization of information transmission influences selection of native phosphorelay architectures.PeerJ · 2021Article
- Exponential Time Decay of Solutions to Reaction-Cross-Diffusion Systems of Maxwell-Stefan Type.Archive for rational mechanics and analysis · 2020Article
- Non-monotonic Response to Monotonic Stimulus: Regulation of Glyoxylate Shunt Gene-Expression Dynamics in Mycobacterium tuberculosis.PLoS computational biology · 2016Article
- Sharper graph-theoretical conditions for the stabilization of complex reaction networks.Mathematical biosciences · 2015Article
- Phosphate sink containing two-component signaling systems as tunable threshold devices.PLoS computational biology · 2014Article
- Split histidine kinases enable ultrasensitivity and bistability in two-component signaling networks.PLoS computational biology · 2013Article
- Concordant chemical reaction networks.Mathematical biosciences · 2012Article
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2 authors.
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Abstract
In a recent paper it was shown that, for chemical reaction networks possessing a subtle structural property called concordance, dynamical behavior of a very circumscribed (and largely stable) kind is enforced, so long as the kinetics lies within the very broad and natural weakly monotonic class. In particular, multiple equilibria are precluded, as are degenerate positive equilibria. Moreover, under certain circumstances, also related to concordance, all real eigenvalues associated with a positive equilibrium are negative. Although concordance of a reaction network can be decided by readily available computational means, we show here that, when a nondegenerate network's Species-Reaction Graph satisfies certain mild conditions, concordance and its dynamical consequences are ensured. These conditions are weaker than earlier ones invoked to establish kinetic system injectivity, which, in turn, is just one ramification of network concordance. Because the Species-Reaction Graph resembles pathway depictions often drawn by biochemists, results here expand the possibility of inferring significant dynamical information directly from standard biochemical reaction diagrams.
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