Field-theoretic approach to fluctuation effects in neural networks.

@article{Buice2007FieldtheoreticAT,
title={Field-theoretic approach to fluctuation effects in neural networks.},
author={Michael A. Buice and Jack D. Cowan},
journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
year={2007},
volume={75 5 Pt 1},
pages={051919}
}

A well-defined stochastic theory for neural activity, which permits the calculation of arbitrary statistical moments and equations governing them, is a potentially valuable tool for theoretical neuroscience. We produce such a theory by analyzing the dynamics of neural activity using field theoretic methods for nonequilibrium statistical processes. Assuming that neural network activity is Markovian, we construct the effective spike model, which describes both neural fluctuations and response… CONTINUE READING