Numerical investigation of a neural field model including dendritic processing

DOI10.3934/jcd.2020011zbMath1452.65401arXiv2003.12761OpenAlexW3044654986MaRDI QIDQ2194423

Pedro M. Lima, Daniele Avitabile, Stephen Coombes

Publication date: 26 August 2020

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12761

zbMATH Keywords

travelling wavesintegral equationsfinite difference schemecable equationneural fields

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Neural biology (92C20)

Related Items (1)

Projection Methods for Neural Field Equations

Uses Software

• Matlab
• Brain Dynamics Toolbox

Cites Work

• A lower bound for the smallest singular value of a matrix
• The role of axonal delay in the synchronization of networks of coupled cortical oscillators
• Standing and travelling waves in a spherical brain model: the Nunez model revisited
• Interface dynamics in planar neural field models
• Waves, bumps, and patterns in neural field theories
• Numerical Solution of the Neural Field Equation in the Two-Dimensional Case
• Spectral Methods in MATLAB
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Numerical Simulation Scheme of One- and Two Dimensional Neural Fields Involving Space-Dependent Delays
• Neural Fields
• Continuation of Localized Coherent Structures in Nonlocal Neural Field Equations

This page was built for publication: Numerical investigation of a neural field model including dendritic processing