Synchronized Oscillatory Dynamics for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion

DOI10.1137/15M1039122zbMath1331.35038MaRDI QIDQ3465250

Michael J. Ward, Wayne Nagata, Yue-Xian Li, Jia Gou

Publication date: 21 January 2016

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

zbMATH Keywords

Hopf bifurcationwinding numberamplitude equationweakly nonlinear analysissynchronous oscillationsmembrane dynamicsnonlinear flux boundary conditions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32) Biological rhythms and synchronization (92B25)

Related Items (10)

An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion ⋮ Dynamically active compartments coupled by a stochastically gated gap junction ⋮ A theory of synchrony by coupling through a diffusive chemical signal ⋮ Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field ⋮ A theory of synchrony for active compartments with delays coupled through bulk diffusion ⋮ Dynamics of epidemic spreading on connected graphs ⋮ Oscillatory Dynamics for a Coupled Membrane-Bulk Diffusion Model with Fitzhugh--Nagumo Membrane Kinetics ⋮ A PDE-DDE Model for Cell Polarization in Fission Yeast ⋮ Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments ⋮ Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System

Uses Software

• XPPAUT

Cites Work

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