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Single Neuron Model: Response to Weak Modulation in the Presence of Noise

A. R. Bulsara, W. Jacobs
NeurIPS 1991 pp. 67-74
/neurips/1991/bulsara1991neurips-single/

Abstract

We consider a noisy bist.able single neuron model driven by a periodic external modulation. The modulation introduces a correlated switching between st.ates driven by the noise. The information flow through the sys(cid:173) tem from the modulation to the output switching events, leads to a succes(cid:173) sion of strong peaks in the power spectrum. The signal-to-noise ratio (SNR) obtained from this power spectrum is a measure of the information content in the neuron response . With increasing noise intensity, the SNR passes t.hrough a maximum, an effect which has been called stochastic resonance. We treat t.he problem wit.hin the framework of a recently developed approx(cid:173) imate theory, valid in the limits of weak noise intensity, weak periodic forc(cid:173) ing and low forcing frequency. A comparison of the results of this theory with those obtained from a linear syst.em FFT is also presented .

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Text

Bulsara and Jacobs. "Single Neuron Model: Response to Weak Modulation in the Presence of Noise." Neural Information Processing Systems, 1991.

Markdown

[Bulsara and Jacobs. "Single Neuron Model: Response to Weak Modulation in the Presence of Noise." Neural Information Processing Systems, 1991.](https://mlanthology.org/neurips/1991/bulsara1991neurips-single/)

BibTeX

@inproceedings{bulsara1991neurips-single,
  title     = {{Single Neuron Model: Response to Weak Modulation in the Presence of Noise}},
  author    = {Bulsara, A. R. and Jacobs, W.},
  booktitle = {Neural Information Processing Systems},
  year      = {1991},
  pages     = {67-74},
  url       = {https://mlanthology.org/neurips/1991/bulsara1991neurips-single/}
}