Deficiency zero for random reaction networks under a stochastic block model framework

DOI10.1007/s10910-021-01278-8zbMath1471.92473arXiv2010.07201OpenAlexW3187592103MaRDI QIDQ2230714

David F. Anderson, Tung D. Nguyen

Publication date: 28 September 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07201

zbMATH Keywords

random graphthreshold functionstochastic block modeldeficiency zeroreaction network

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Classical flows, reactions, etc. in chemistry (92E20)

Related Items (4)

Persistence and stability of a class of kinetic compartmental models ⋮ Prevalence of deficiency-zero reaction networks in an Erdös–Rényi framework ⋮ Computational Translation Framework Identifies Biochemical Reaction Networks with Special Topologies and Their Long-Term Dynamics ⋮ Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks

Cites Work

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• Product-form stationary distributions for deficiency zero networks with non-mass action kinetics
• Product-form stationary distributions for deficiency zero chemical reaction networks
• On the number of steady states in a multiple futile cycle
• Threshold functions
• Non-explosivity of stochastically modeled reaction networks that are complex balanced
• Results on stochastic reaction networks with non-mass action kinetics
• Product-Form Poisson-Like Distributions and Complex Balanced Reaction Systems
• Finite Time Distributions of Stochastically Modeled Chemical Systems with Absolute Concentration Robustness

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