The response of a spatially distributed neuron to white noise current injection

@article{Wan1979TheRO,
  title={The response of a spatially distributed neuron to white noise current injection},
  author={Frederic Y. M. Wan and Henry C. Tuckwell},
  journal={Biological Cybernetics},
  year={1979},
  volume={33},
  pages={39-55}
}
The depolarization of a passive nerve cylinder or dendritic tree in the equivalent cylinder representation is assumed to satisfy the cable equation. We consider in detail the effects of white noise current injection at a given location for the case of sealed end boundary conditions and for an initial resting state. The depolarization at a point is a Gaussian random process but is not Markovian. Expressions (infinite series) are obtained for the expectation, variance, spatial and temporal… CONTINUE READING