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

1979 ◽  
Vol 33 (1) ◽  
pp. 39-55 ◽  
Author(s):  
Frederic Y. M. Wan ◽  
Henry C. Tuckwell
1997 ◽  
Vol 4 (7) ◽  
pp. 198-200 ◽  
Author(s):  
K. Gerlach ◽  
M. Steiner ◽  
F.C. Lin

1980 ◽  
Vol 87 (2) ◽  
pp. 275-295 ◽  
Author(s):  
Henry C. Tuckwell ◽  
Frederick Y.M. Wan

2021 ◽  
Author(s):  
Zhen-Ning Zhang ◽  
you-zeng hao ◽  
Ke Yang ◽  
Chun-Guang Ma ◽  
Jin-Long Xiao ◽  
...  

2014 ◽  
Vol 85 (2) ◽  
pp. 024702 ◽  
Author(s):  
Gino Giusi ◽  
Graziella Scandurra ◽  
Carmine Ciofi

2006 ◽  
Vol 18 (11) ◽  
pp. 2592-2616 ◽  
Author(s):  
Liam Paninski

We compute the exact spike-triggered average (STA) of the voltage for the nonleaky integrate-and-fire (IF) cell in continuous time, driven by gaussian white noise. The computation is based on techniques from the theory of renewal processes and continuous-time hidden Markov processes (e.g., the backward and forward Fokker-Planck partial differential equations associated with first-passage time densities). From the STA voltage, it is straightforward to derive the STA input current. The theory also gives an explicit asymptotic approximation for the STA of the leaky IF cell, valid in the low-noise regime σ → 0. We consider both the STA and the conditional average voltage given an observed spike “doublet” event, that is, two spikes separated by some fixed period of silence. In each case, we find that the STA as a function of time-preceding-spike, τ, has a square root singularity as τ approaches zero from below and scales linearly with the scale of injected noise current. We close by briefly examining the discrete-time case, where similar phenomena are observed.


2007 ◽  
Vol 44 (02) ◽  
pp. 393-408 ◽  
Author(s):  
Allan Sly

Multifractional Brownian motion is a Gaussian process which has changing scaling properties generated by varying the local Hölder exponent. We show that multifractional Brownian motion is very sensitive to changes in the selected Hölder exponent and has extreme changes in magnitude. We suggest an alternative stochastic process, called integrated fractional white noise, which retains the important local properties but avoids the undesirable oscillations in magnitude. We also show how the Hölder exponent can be estimated locally from discrete data in this model.


1985 ◽  
Vol 16 (4) ◽  
pp. 260-266 ◽  
Author(s):  
Lee Ann Laraway

The purpose of this study was to determine whether there is a statistically significant difference between the auditory selective attention abilities of normal and cerebral-palsied individuals. Twenty-three cerebral-palsied and 23 normal subjects between the ages of 5 and 21 were asked to repeat a series of 30 items consisting of from 2 to 4 digits in the presence of intermittent white noise. Results of the study indicate that cerebral-palsied individuals perform significantly poorer than normal individuals when the stimulus is accompanied by noise. Noise was not a significant factor in the performance of the normal subjects regardless of age.


Sign in / Sign up

Export Citation Format

Share Document