Front Propagation in Stochastic Neural Fields

@article{Bressloff2012FrontPI,
  title={Front Propagation in Stochastic Neural Fields},
  author={Paul C. Bressloff and Matthew A. Webber},
  journal={SIAM J. Applied Dynamical Systems},
  year={2012},
  volume={11},
  pages={708-740}
}
We analyze the effects of extrinsic multiplicative noise on front propagation in a scalar neural field with excitatory connections. Using a separation of time scales, we represent the fluctuating front in terms of a diffusive-like displacement (wandering) of the front from its uniformly translating position at long time scales, and fluctuations in the front profile around its instantaneous position at short time scales. One major result of our analysis is a comparison between freely propagating… CONTINUE READING