DOI10.1137/11082631XzbMath1227.92013arXiv1101.0761WikidataQ122983516 ScholiaQ122983516MaRDI QIDQ3097543
David F. Anderson
Publication date: 10 November 2011
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.0761
Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks ⋮
Persistence and stability of a class of kinetic compartmental models ⋮
Semistability of complex balanced kinetic systems with arbitrary time delays ⋮
Stability analysis of the Michaelis-Menten approximation of a mixed mechanism of a phosphorylation system ⋮
PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks ⋮
Linear conjugacy in biochemical reaction networks with rational reaction rates ⋮
Large deviations theory for Markov jump models of chemical reaction networks ⋮
Realizations of quasi-polynomial systems and application for stability analysis ⋮
A reaction network approach to the theory of acoustic wave turbulence ⋮
Computing all possible graph structures describing linearly conjugate realizations of kinetic systems ⋮
Computing zero deficiency realizations of kinetic systems ⋮
Computational Translation Framework Identifies Biochemical Reaction Networks with Special Topologies and Their Long-Term Dynamics ⋮
A new decomposition of the graph Laplacian and the binomial structure of mass-action systems ⋮
Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class ⋮
An Algorithm for Finding Weakly Reversible Deficiency Zero Realizations of Polynomial Dynamical Systems ⋮
The Disguised Toric Locus and Affine Equivalence of Reaction Networks ⋮
Boundedness for reaction–diffusion systems with Lyapunov functions and intermediate sum conditions ⋮
On the connectivity of the disguised toric locus of a reaction network ⋮
Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective ⋮
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems ⋮
A kinetic finite volume discretization of the multidimensional PIDE model for gene regulatory networks ⋮
Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks ⋮
On classes of reaction networks and their associated polynomial dynamical systems ⋮
Detailed balance \(=\) complex balance \(+\) cycle balance: a graph-theoretic proof for reaction networks and Markov chains ⋮
A computational approach to persistence, permanence, and endotacticity of biochemical reaction systems ⋮
Chemical reaction-diffusion networks: convergence of the method of lines ⋮
Robust Persistence and Permanence of Polynomial and Power Law Dynamical Systems ⋮
On the existence of the positive steady states of weakly reversible deficiency-one mass action systems ⋮
Complex Balancing Reconstructed to the Asymptotic Stability of Mass-Action Chemical Reaction Networks with Conservation Laws ⋮
A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks ⋮
Hamiltonian perspective on compartmental reaction-diffusion networks ⋮
Persistence In Chemical Reaction Networks With Arbitrary Time Delays ⋮
Boundedness of trajectories for weakly reversible, single linkage class reaction systems ⋮
Stochastically modeled weakly reversible reaction networks with a single linkage class ⋮
Dynamical properties of models for the Calvin cycle ⋮
Tier structure of strongly endotactic reaction networks ⋮
Autocatalysis in reaction networks ⋮
Complex and detailed balancing of chemical reaction networks revisited ⋮
Global stability of a class of futile cycles ⋮
Intermediates, catalysts, persistence, and boundary steady states ⋮
The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks ⋮
Product-form stationary distributions for deficiency zero networks with non-mass action kinetics ⋮
Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions ⋮
Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems ⋮
Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria ⋮
Some Network Conditions for Positive Recurrence of Stochastically Modeled Reaction Networks ⋮
Quasi-toric differential inclusions ⋮
An Efficient Characterization of Complex-Balanced, Detailed-Balanced, and Weakly Reversible Systems ⋮
A network dynamics approach to chemical reaction networks ⋮
A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems ⋮
Realizations of kinetic differential equations ⋮
Endotactic Networks and Toric Differential Inclusions ⋮
Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type ⋮
A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases ⋮
The deficiency zero theorem and global asymptotic stability for a class of chemical reaction networks with arbitrary time delays ⋮
Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems ⋮
A Graphic Formulation of Nonisothermal Chemical Reaction Systems and the Analysis of Detailed Balanced Networks ⋮
Systematic Measures of Biological Networks II: Degeneracy, Complexity, and Robustness ⋮
Single-target networks ⋮
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions ⋮
Foundations of static and dynamic absolute concentration robustness ⋮
Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems ⋮
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations ⋮
A computational approach to the structural analysis of uncertain kinetic systems ⋮
A permanence theorem for local dynamical systems ⋮
Autocatalytic recombination systems: a reaction network perspective
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