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Spatiotemporal dynamics of continuum neural fields
Open accessAbstract
We survey recent analytical approaches to studying the spatiotemporal dynamics of continuum neural fields.Neural fields model the large-scale dynamics of spatially structured biological neural networks in terms of nonlinear integrodifferential equations whose associated integral kernels represent the spatial distribution of neuronal synaptic connections.They provide an important example of spatially extended excitable systems with nonlocal interactions and exhibit a wide range of spatially coherent dynamics including traveling waves oscillations and Turing-like patterns.
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Human brain networks function in connectome-specific harmonic waves
Atasoy, S., Donnelly, I., & Pearson, J. (2016) · Nature Communications · doi:10.1038/ncomms10340 · Cited by 381
Roberts, J. A., Gollo, L. L., Abeysuriya, R. G., Roberts, G., Mitchell, P. B., Woolrich, M. W., & Breakspear, M. (2019) · Nature Communications · doi:10.1038/s41467-019-08999-0 · Cited by 264
Systematic Fluctuation Expansion for Neural Network Activity Equations
Buice, M. A., Cowan, J. D., & Chow, C. C. (2010) · Neural Computation · doi:10.1162/neco.2009.02-09-960 · Cited by 164
Encoding certainty in bump attractors
Carroll, S., Josić, K., & Kilpatrick, Z. P. (2014) · Journal of Computational Neuroscience · doi:10.1007/s10827-013-0486-0 · Cited by 23
A neural field model for color perception unifying assimilation and contrast
Song, A., Faugeras, O., & Veltz, R. (2019) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1007050 · Cited by 18
Metadata
- Authors
- Bressloff, P. C.
- Venue
- Journal of Physics A: Mathematical and Theoretical
- Publisher
- IOP Publishing
- Published
- 2011-12-14
- Volume
- 45
- Issue
- 3
- Pages
- 033001
- ISSN
- 1751-8113 (ISSN-L)
- 1751-8121
- OpenAlex
- W2032407678
- Cited by
- 414
- References
- 272
- FWCI
- 43.03
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
