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JCNS
1998

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

11 years 7 months ago
Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural Networks
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, variances, and covariance of the two components. One may use these quantities to estimate the probability that a neuron is emitting an action potential at any given time. The differential equations are solved by numerical methods. We also perform simulations on the stochastic Fitzugh-Nagumo system and compare the results with those obtained from the differential equations for both sustained and intermittent deterministic current inputs with superimposed noise. For intermittent currents, which...
Henry C. Tuckwell, Roger Rodriguez
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 1998
Where JCNS
Authors Henry C. Tuckwell, Roger Rodriguez
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