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Stochastic Resonance of Ensemble Neurons for Transient Spike Trains: A Wavelet Analysis | Hideo Hasegawa
; | Date: |
29 Nov 2001 | Journal: | Phys. Rev. E 66 (2002) 21902 | Subject: | Disordered Systems and Neural Networks; Neurons and Cognition | cond-mat.dis-nn q-bio.NC | Affiliation: | Tokyo Gakugei Univ. | Abstract: | By using the wavelet transformation (WT), we have analyzed the response of an ensemble of $N$ (=1, 10, 100 and 500) Hodgkin-Huxley (HH) neurons to {it transient} $M$-pulse spike trains ($M=1-3$) with independent Gaussian noises. The cross-correlation between the input and output signals is expressed in terms of the WT expansion coefficients. The signal-to-noise ratio (SNR) is evaluated by using the {it denoising} method within the WT, by which the noise contribution is extracted from output signals. Although the response of a single (N=1) neuron to sub-threshold transient signals with noises is quite unreliable, the transmission fidelity assessed by the cross-correlation and SNR is shown to be much improved by increasing the value of $N$: a population of neurons play an indispensable role in the stochastic resonance (SR) for transient spike inputs. It is also shown that in a large-scale ensemble, the transmission fidelity for supra-threshold transient spikes is not significantly degraded by a weak noise which is responsible to SR for sub-threshold inputs. | Source: | arXiv, cond-mat/0111546 | Services: | Forum | Review | PDF | Favorites |
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