Chemical reaction-diffusion networks: convergence of the method of lines
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Publication:1703393
DOI10.1007/s10910-017-0779-zzbMath1381.92112arXiv1704.01073OpenAlexW2604392204MaRDI QIDQ1703393
Adrian Tudorascu, Casian Pantea, Fatma Mohamed
Publication date: 2 March 2018
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01073
Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Chemical kinetics in thermodynamics and heat transfer (80A30)
Related Items (4)
Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions ⋮ Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria ⋮ Boundedness of a Class of Spatially Discrete Reaction-Diffusion Systems ⋮ An Efficient Characterization of Complex-Balanced, Detailed-Balanced, and Weakly Reversible Systems
Cites Work
- Some remarks on spatial uniformity of solutions of reaction-diffusion PDEs
- The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks
- Toric dynamical systems
- Convergence of method of lines approximations to partial differential equations
- Global solutions of reaction-diffusion systems
- On a nonlinear parabolic system -- modeling chemical reactions in rivers
- Graph-theoretic methods for the analysis of chemical and biochemical networks. I. Multistability and oscillations in ordinary differential equation models
- Random walks on graphs with regular volume growth
- A note on stabilization with saturating feedback
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- A Petri net approach to the study of persistence in chemical reaction networks
- Stability of mass action reaction-diffusion systems
- Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
- Some Results on Injectivity and Multistationarity in Chemical Reaction Networks
- A Geometric Approach to the Global Attractor Conjecture
- On the Persistence and Global Stability of Mass-Action Systems
- A Proof of the Global Attractor Conjecture in the Single Linkage Class Case
- OBSERVATIONS ON GAUSSIAN UPPER BOUNDS FOR NEUMANN HEAT KERNELS
- 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
- Application of Operator Splitting to Solve Reaction Diffusion Equations
- Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
- PMatrix Properties, Injectivity, and Stability in Chemical Reaction Systems
- Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
- DIFFERENTIAL EQUATIONS ON GRAPHS
- Quasichemical Models of Multicomponent Nonlinear Diffusion
- Global stability of complex balanced mechanisms
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