Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
70/2007

Properties of a white-noise driven nonlinear spatially extended model neuron

Henry Tuckwell

Abstract

We derive expressions for the mean, covariance and variance, and their steady state forms, of the voltage in a nonlinear cable driven by a space-time white noise current, under the assumption of sealed end boundary conditions for relatively small disturbances from an equilibrium point. The spectral density of the voltage is also obtained.

Numerical examples are given to highlight the difference between the properties of nonlinear and linear cables. In many cases the differences are small, but often they are substantial. The contributions to the moments from noise are compared with those from the nonlinearity. We fit the spectral density of the voltage in nonlinear cables to Lorentzians and compare their values with those of linear cables and point-model neurons.

Received:
Jul 31, 2007
Published:
Jul 31, 2007

Related publications

Preprint
2007 Repository Open Access
Henry C. Tuckwell

Properties of a white-noise driven nonlinear spatially extended model neuron