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# 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} }

- Published 1998 in Journal of Computational Neuroscience
DOI:10.1023/A:1008811814446

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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