A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced

DOI10.3934/dcdsb.2015.20.1077zbMath1348.37085arXiv1312.4196OpenAlexW2962932095MaRDI QIDQ2260218

Badal Joshi

Publication date: 10 March 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4196

zbMATH Keywords

stochastic modelschemical reaction network theorydetailed balance

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Numerical analysis or methods applied to Markov chains (65C40) Generation, random and stochastic difference and differential equations (37H10) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (10)

Revisit of macroscopic dynamics for some non-equilibrium chemical reactions from a Hamiltonian viewpoint ⋮ A Route to the Hydrodynamic Limit of a Reaction-Diffusion Master Equation Using Gradient Structures ⋮ Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup ⋮ Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics ⋮ On balance relations for irreversible chemical reaction networks ⋮ Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics ⋮ Detailed balance \(=\) complex balance \(+\) cycle balance: a graph-theoretic proof for reaction networks and Markov chains ⋮ Detailed balance, local detailed balance, and global potential for stochastic chemical reaction networks ⋮ Graphically Balanced Equilibria and Stationary Measures of Reaction Networks ⋮ Stationary Distributions and Condensation in Autocatalytic Reaction Networks

Cites Work

• Unnamed Item
• Unnamed Item
• How far is complex balancing from detailed balancing?
• Product-form stationary distributions for deficiency zero chemical reaction networks
• Atoms of multistationarity in chemical reaction networks
• Complete characterization by multistationarity of fully open networks with one non-flow reaction
• Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems
• Dynamical properties of discrete reaction networks
• Simplifying the Jacobian Criterion for Precluding Multistationarity in Chemical Reaction Networks
• A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
• Probability

This page was built for publication: A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced