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Cited by 447

The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.

Waves, bumps, and patterns in neural field theories

Open access
Coombes, S.·2005·Biological Cybernetics
DOI 10.1007/s00422-005-0574-y
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Abstract

Neural field models of firing rate activity have had a major impact in helping to develop an understanding of the dynamics seen in brain slice preparations. These models typically take the form of integro-differential equations. Their non-local nature has led to the development of a set of analytical and numerical tools for the study of waves, bumps and patterns, based around natural extensions of those used for local differential equation models. In this paper we present a review of such techniques and show how recent advances have opened the way for future studies of neural fields in both one and two dimensions that can incorporate realistic forms of axo-dendritic interactions and the slow intrinsic currents that underlie bursting behaviour in single neurons.

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Metadata

Authors
Coombes, S.
Venue
Biological Cybernetics
Publisher
Springer Science and Business Media LLC
Published
2005-07-30
Volume
93
Issue
2
Pages
91-108
ISSN
  • 0340-1200 (ISSN-L)
  • 1432-0770
DOI
10.1007/s00422-005-0574-y
OpenAlex
W2102952547
Cited by
447
References
69
FWCI
6.69
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Waves, bumps, and patterns in neural field theories. https://app.cochat.ai/papers/10.1007/s00422-005-0574-y
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Coombes, S. (2005). Waves, bumps, and patterns in neural field theories. Biological Cybernetics. https://doi.org/10.1007/s00422-005-0574-y

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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