Encyclopedia of Computational Neuroscience

2015 Edition
| Editors: Dieter Jaeger, Ranu Jung

Inverse Problems in Neural Population Models

Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-6675-8_64


Inverse problems are usually based on some direct or forward model, where the inversion aims to determine either parameter distributions of the model or states of the dynamics. The application and development of inverse techniques to neural population models will be discussed here with a focus on neural field theory. The goal is the construction and reconstruction of neural connectivity and parameters of neural activity such as the local activation of pulses or spike trains.

Detailed Description

Neural Field Models such as the Cowan-Wilson Model (Wilson and Cowan 1972, 1973; Nunez 1974) or the Amari Neural Field Model (cf. (Amari 1975, 1977)) establish a field-theoretic approach to the dynamics of neural activity in the brain. The models use excitations and inhibitions over some distance as an effective model of mixed inhibitory and excitatory neurons with typical cortical connectivities, for example, by a simple dynamical equation for the voltage or activity u( x, t) of the...
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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ReadingReadingUK