Encyclopedia of Computational Neuroscience

Living Edition
| Editors: Dieter Jaeger, Ranu Jung

Amari Model

Living reference work entry

Latest version View entry history

DOI: https://doi.org/10.1007/978-1-4614-7320-6_51-2

Definition

The Amari neural field model (cf. (Amari 1975, 1977)) provides a simple field-theoretic approach to the dynamics of neural activity in the brain. The model uses excitations and inhibitions over some distance as an effective model of mixed inhibitory and excitatory neurons with typical cortical connectivities. The model is a scalar dynamical equation for the voltage or activity u( x, t) of the form
$$ \frac{\partial u}{\partial t}\;\left(x,t\right)=-u\left(x,t\right)+{\displaystyle {\int}_Bw\left(x,y\right)\;f\left(u\left(y,t\right)\right) dy,\kern0.48em x\in B,t\ge 0,} $$

Keywords

Depression Convolution 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ReadingReadingUK