On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics

From MaRDI portal
Publication:2841011

DOI10.1137/11085431XzbMath1268.05222arXiv1110.6078OpenAlexW2143151266MaRDI QIDQ2841011

Bayu Jayawardhana, Shodhan Rao, Arjan J. Van der Schaft

Publication date: 24 July 2013

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

Full work available at URL: https://arxiv.org/abs/1110.6078




Related Items (27)

Structure-Preserving Model Reduction of Physical Network SystemsStability analysis of diagonally equipotent matricesEntropy-inspired Lyapunov Functions and Linear First Integrals for Positive Polynomial SystemsEvolutionary Γ-convergence of gradient systems modeling slow and fast chemical reactionsGradient and passive circuit structure in a class of non-linear dynamics on a graphPort-Hamiltonian modeling of non-isothermal chemical reaction networksBond graph modelling of the cardiac action potential: implications for drift and non-unique steady statesHandling Biological Complexity Using Kron ReductionRealizations of quasi-polynomial systems and application for stability analysisStructural analysis in biology: a control-theoretic approachPolyhedral Lyapunov functions structurally ensure global asymptotic stability of dynamical networks iff the Jacobian is non-singularPhysical network systems and model reductionComplex Balancing Reconstructed to the Asymptotic Stability of Mass-Action Chemical Reaction Networks with Conservation LawsA graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networksHamiltonian perspective on compartmental reaction-diffusion networksRoutes to multiple equilibria for mass-action kinetic systemsReaction network realizations of rational biochemical systems and their structural propertiesComplex and detailed balancing of chemical reaction networks revisitedSteady states and stability in metabolic networks without regulationA network dynamics approach to chemical reaction networksA Graphic Formulation of Nonisothermal Chemical Reaction Systems and the Analysis of Detailed Balanced NetworksLyapunov Function Partial Differential Equations for Chemical Reaction Networks: Some Special CasesNetwork thermodynamics of biological systems: a bond graph approachChemical reaction network decomposition technique for stability analysisAnalysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using TransformationsA Graphical Representation of Membrane FiltrationHamiltonian classical thermodynamics and chemical kinetics






This page was built for publication: On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics