Hamiltonian perspective on compartmental reaction-diffusion networks

DOI10.1016/j.automatica.2013.12.017zbMath1298.93061arXiv1212.4999OpenAlexW2096518664MaRDI QIDQ462336

Marko Seslija, Jacquelien M. A. Scherpen, Arjan J. Van der Schaft

Publication date: 20 October 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4999

zbMATH Keywords

reaction-diffusion systemsinterconnectionconsensusdistributed-parameter systemsstructure-preserving discretizationreaction networksweighted Laplacian matrix

Mathematics Subject Classification ID

Related Items (3)

Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems ⋮ Routes to multiple equilibria for mass-action kinetic systems ⋮ Modeling of physical network systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems
• Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems
• Corrections to: ``Global existence for semilinear parabolic systems on one-dimensional bounded domains
• Infinite-dimensional dynamical systems in mechanics and physics.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Distributed algorithms for reaching consensus on general functions
• On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics
• A Proof of the Global Attractor Conjecture in the Single Linkage Class Case
• Port-based modelling of mass transport phenomena
• Finite element exterior calculus: from Hodge theory to numerical stability
• Stability and Lyapunov Functions for Reaction-Diffusion Systems
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Consensus and Cooperation in Networked Multi-Agent Systems
• The chemical basis of morphogenesis
• A Passivity-Based Approach to Stability of Spatially Distributed Systems With a Cyclic Interconnection Structure

This page was built for publication: Hamiltonian perspective on compartmental reaction-diffusion networks