Synonyms
Definition
Experimental studies have shown that neural population activity may exhibit certain well-structured spatiotemporal patterns, which reflect the properties of the neurons in the underlying network. The aim of neural population models is the reconstruction of such experimentally observed patterns or their prediction.
Detailed Description
Spatial patterns in neural populations and their temporal evolution have been observed experimentally in different neural structures. They emerge due to a strong interplay between the spatial physiological structure of the population, the intrinsic time scales, and the nonlinear interaction of elements. For instance, in a neural field model, these elements typically are the spatial axonal connectivity topology, the mean synaptic time scales, the nonlinear transfer function, and the additional nonlinear interactions such as synaptic depression.
One of the most important questions in the study of pattern formation...
Keywords
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References
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Further Reading
Amari S (1977) Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern 27:77–87
Coombes S (2005) Waves, bumps, and patterns in neural field theories. Biol Cybern 93:91–108
Cross MC, Hohenberg P (1993) Pattern formation out of equilibrium. Rev Mod Phys 65:851–1112
De Wit A, Lima D, Dewel G, Borckmans P (1996) Spatiotemporal dynamics near a codimension-two point. Phys Rev E 54:261–271
Ermentrout GB, Cowan JD (1979) A mathematical theory of visual hallucination patterns. Biol Cybern 34(3):137–150
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Yu Y, Santos LM, Mattiace LA, Costa ML, Ferreira LC, Benabou K, Kim AH, Abrahams J, Bennett MVL, Rozental R (2012) Reentrant spiral waves of spreading depression cause macular degeneration in hypoglycemic chicken retina. Proc Natl Acad Sci U S A 109(7):2585–2589
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Hutt, A. (2013). Pattern Formation in Neural Population Models. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_72-3
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DOI: https://doi.org/10.1007/978-1-4614-7320-6_72-3
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