Prevalence of deficiency-zero reaction networks in an Erdös–Rényi framework

DOI10.1017/jpr.2021.65zbMath1492.05142arXiv1910.12723OpenAlexW4221011927MaRDI QIDQ5086997

Tung D. Nguyen, David F. Anderson

Publication date: 8 July 2022

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12723

zbMATH Keywords

random graphthreshold functiondeficiencyreaction networkErdős-Rényi

Mathematics Subject Classification ID

Applications of graph theory (05C90) Random graphs (graph-theoretic aspects) (05C80) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42)

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Cites Work

• Product-form stationary distributions for deficiency zero networks with non-mass action kinetics
• Product-form stationary distributions for deficiency zero chemical reaction networks
• An ecological framework for the analysis of prebiotic chemical reaction networks
• Threshold functions
• Large deviations theory for Markov jump models of chemical reaction networks
• On the geometry of chemical reaction networks: Lyapunov function and large deviations
• Results on stochastic reaction networks with non-mass action kinetics
• Deficiency zero for random reaction networks under a stochastic block model framework
• Product-Form Poisson-Like Distributions and Complex Balanced Reaction Systems
• A Geometric Approach to the Global Attractor Conjecture
• Finite Time Distributions of Stochastically Modeled Chemical Systems with Absolute Concentration Robustness
• The average distances in random graphs with given expected degrees

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