The Dynamics of Neural Fields on Bounded Domains: An Interface Approach for Dirichlet Boundary Conditions

The Dynamics of Neural Fields on Bounded Domains: An Interface Approach for Dirichlet Boundary Conditions

Abstract Continuum neural field equations model the large-scale spatio-temporal dynamics of interacting neurons on a cortical surface. They have been extensively studied, both analytically and numerically, on bounded as well as unbounded domains. Neural field models do not require the specification...

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Bibliographic Details
Main Authors: Aytül Gökçe, Daniele Avitabile, Stephen Coombes
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Mathematical Neuroscience
Subjects:
Neural fields
Bounded domain
Dirichlet boundary condition
Interface dynamics
Piece-wise constant kernel
Online Access:http://link.springer.com/article/10.1186/s13408-017-0054-4

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http://link.springer.com/article/10.1186/s13408-017-0054-4

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