Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process

@article{Bressloff2013MetastabilityIA,
  title={Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process},
  author={Paul C. Bressloff and Jay M. Newby},
  journal={SIAM J. Applied Dynamical Systems},
  year={2013},
  volume={12},
  pages={1394-1435}
}
One of the major challenges in neuroscience is to determine how noise that is present at the molecular and cellular levels affects dynamics and information processing at the macroscopic level of synaptically coupled neuronal populations. Often noise is incorporated into deterministic network models using extrinsic noise sources. An alternative approach is to assume that noise arises intrinsically as a collective population effect, which has led to a master equation formulation of stochastic… CONTINUE READING
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Metastability in a stochastic neural network modeled as a jump velocity Markov process

P. C. Bressloff, J. Newby
SIAM J. Appl. Math • 2013