Neurotransmitter concentrations in the presence of neural switching in one dimension

DOI10.3934/dcdsb.2016046zbMath1346.35246OpenAlexW2509423246MaRDI QIDQ316939

Michael C. Reed, Sean D. Lawley, Janet A. Best

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016046

zbMATH Keywords

heat equationstochastic switchingvolume transmission

Mathematics Subject Classification ID

Neural biology (92C20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (9)

Dynamically active compartments coupled by a stochastically gated gap junction ⋮ Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission ⋮ A Probabilistic Analysis of Volume Transmission in the Brain ⋮ Stochastic hybrid systems in cellular neuroscience ⋮ Electrodiffusive Flux Through a Stochastically Gated Ion Channel ⋮ Diffusion in an age-structured randomly switching environment ⋮ Boundary Value Problems for Statistics of Diffusion in a Randomly Switching Environment: PDE and SDE Perspectives ⋮ Randomly switching evolution equations ⋮ How Receptor Surface Diffusion and Cell Rotation Increase Association Rates

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity
• Boundary Value Problems for Statistics of Diffusion in a Randomly Switching Environment: PDE and SDE Perspectives
• Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE
• Random Point Attractors Versus Random Set Attractors
• A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary
• Escape from Subcellular Domains with Randomly Switching Boundaries
• Escape from a potential well with a randomly switching boundary
• Projecting Biochemistry Over Long Distances

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