Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural Networks

@article{Tuckwell1998AnalyticalAS,
  title={Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural Networks},
  author={Henry C. Tuckwell and Roger Rodriguez},
  journal={Journal of Computational Neuroscience},
  year={1998},
  volume={5},
  pages={91-113}
}
An analytical approach is presented for determining the response of a neuron or of the activity in a network of connected neurons, represented by systems of nonlinear ordinary stochastic differential equations—the Fitzhugh-Nagumo system with Gaussian white noise current. For a single neuron, five equations hold for the first- and second-order central moments of the voltage and recovery variables. From this system we obtain, under certain assumptions, five differential equations for the means… CONTINUE READING
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The response of a HodgkinHuxley model neuron to stochastic inputs (in preparation)

  • R Rodriguez, HC Tuckwell
  • 1997
1 Excerpt

Coupled Hodgkin-Huxley neurons with stochastic synaptic inputs

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