Complex Balancing Reconstructed to the Asymptotic Stability of Mass-Action Chemical Reaction Networks with Conservation Laws

DOI10.1137/18M1177706zbMath1407.34067arXiv1703.07942WikidataQ114847161 ScholiaQ114847161MaRDI QIDQ4610483

Zhou Fang, Chuanhou Gao, Min Ke

Publication date: 23 January 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07942

zbMATH Keywords

conservation lawsasymptotic stabilitychemical reaction networkmass-action systemgeneralized pseudo-Helmholtz function

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Chemical kinetics in thermodynamics and heat transfer (80A30) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

Structural analysis in biology: a control-theoretic approach ⋮ A Graphic Formulation of Nonisothermal Chemical Reaction Systems and the Analysis of Detailed Balanced Networks ⋮ Chemical reaction network decomposition technique for stability analysis

Cites Work

• Finding complex balanced and detailed balanced realizations of chemical reaction networks
• Linear conjugacy of chemical reaction networks
• Computing sparse and dense realizations of reaction kinetic systems
• Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Computing weakly reversible linearly conjugate chemical reaction networks with minimal defi\-ciency
• Realizations of quasi-polynomial systems and application for stability analysis
• A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks
• A Petri net approach to the study of persistence in chemical reaction networks
• The Mathematics of Infectious Diseases
• On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics
• Dynamical Equivalence and Linear Conjugacy of Chemical Reaction Networks: New Results and Methods
• Local and Global Stability of Equilibria for a Class of Chemical Reaction Networks
• On the Persistence and Global Stability of Mass-Action Systems
• Simplifying the Jacobian Criterion for Precluding Multistationarity in Chemical Reaction Networks
• New Approach to the Stability of Chemical Reaction Networks: Piecewise Linear in Rates Lyapunov Functions
• Persistence Results for Chemical Reaction Networks with Time-Dependent Kinetics and No Global Conservation Laws
• A Proof of the Global Attractor Conjecture in the Single Linkage Class Case
• Stability and D-stability for Switched Positive Systems
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems
• Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph

This page was built for publication: Complex Balancing Reconstructed to the Asymptotic Stability of Mass-Action Chemical Reaction Networks with Conservation Laws