DOI10.1137/130928170zbMath1301.34063arXiv1305.5303OpenAlexW2143741733WikidataQ123113078 ScholiaQ123113078MaRDI QIDQ2876694
Anne Shiu, Ezra Miller, Manoj Gopalkrishnan
Publication date: 19 August 2014
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.5303
Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks ⋮
Large deviations theory for Markov jump models of chemical reaction networks ⋮
Prevalence of deficiency-zero reaction networks in an Erdös–Rényi framework ⋮
A reaction network approach to the theory of acoustic wave turbulence ⋮
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 ⋮
Some minimal bimolecular mass-action systems with limit cycles ⋮
The Disguised Toric Locus and Affine Equivalence of Reaction Networks ⋮
Source-Only Realizations, Weakly Reversible Deficiency One Networks, and Dynamical Equivalence ⋮
Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics ⋮
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 ⋮
Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks ⋮
On classes of reaction networks and their associated polynomial dynamical systems ⋮
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 ⋮
Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States ⋮
Existence of Positive Steady States for Weakly Reversible Mass-Action Systems ⋮
Persistence In Chemical Reaction Networks With Arbitrary Time Delays ⋮
Tier structure of strongly endotactic reaction networks ⋮
Autocatalysis in reaction networks ⋮
Positive equilibria of weakly reversible power law kinetic systems with linear independent interactions ⋮
Intermediates, catalysts, persistence, and boundary steady states ⋮
Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions ⋮
Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems ⋮
On the geometry of chemical reaction networks: Lyapunov function and large deviations ⋮
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 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 ⋮
Single-target networks ⋮
On the Bijectivity of Families of Exponential/Generalized Polynomial Maps ⋮
A Scheme for Molecular Computation of Maximum Likelihood Estimators for Log-Linear Models ⋮
Lyapunov Function Partial Differential Equations for Chemical Reaction Networks: Some Special Cases ⋮
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions ⋮
Discrepancies between extinction events and boundary equilibria in reaction networks ⋮
Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems ⋮
A Graph-Theoretic Condition for Delay Stability of Reaction Systems ⋮
Which Small Reaction Networks Are Multistationary? ⋮
A global convergence result for processive multisite phosphorylation systems ⋮
Autocatalytic recombination systems: a reaction network perspective
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