Dynamically active compartments coupled by a stochastically gated gap junction

DOI10.1007/s00332-017-9374-5zbMath1379.35332OpenAlexW2606478833MaRDI QIDQ1682995

Sean D. Lawley, Paul C. Bressloff

Publication date: 6 December 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-017-9374-5

zbMATH Keywords

diffusiongap junctionschannel permeabilitypiecewise deterministic PDEs

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Diffusion processes (60J60) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Cell biology (92C37) Bifurcations in context of PDEs (35B32) Biological rhythms and synchronization (92B25)

Related Items (8)

Quorum sensing in populations of spatially extended chaotic oscillators coupled indirectly via a heterogeneous environment ⋮ Comprehending deterministic and stochastic occasional uncoupling induced synchronizations through each other ⋮ Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission ⋮ A Probabilistic Analysis of Volume Transmission in the Brain ⋮ Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field ⋮ Diffusion in an age-structured randomly switching environment ⋮ How Receptor Surface Diffusion and Cell Rotation Increase Association Rates ⋮ Singularities of Invariant Densities for Random Switching between Two Linear ODEs in 2D

Uses Software

• Matlab

Cites Work

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