Neuronal Shot Noise and Brownian 1/f 2 Behavior in the Local Field Potential

Abstract

We demonstrate that human electrophysiological recordings of the local field potential (LFP) from in-tracranial electrodes, acquired from a variety of cerebral regions, show a ubiquitous 1/f 2 scaling within the power spectrum. We develop a quantitative model that treats the generation of these fields in an analogous way to that of electronic shot noise, and use this model to specifically address the cause of this 1/f 2 Brow-nian noise. The model gives way to two analytically tractable solutions, both displaying Brownian noise: 1) uncorrelated cells that display sharp initial activity, whose extracellular fields slowly decay and 2) rapidly firing, temporally correlated cells that generate UP-DOWN states.

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Showing 1-10 of 15 references

Principles of Neural Science

  • R Kandel, J H Schwartz, T M Jessell
  • 2000

Scaling in Biology: Santa Fe Institutes Studies in the Science of Complexity

  • J H Brown, G B West
  • 2000

Biophysics of Computation: Information Processing in Single Neurons

  • C Koch
  • 1999

J. Comput. Neurosci. J. Neurophysiol

  • J N Milstein, C Koch, Neural Comput, G R Holt
  • 1999

Clin. Neurophys

  • K Linkenkaer-Hansen, V V Nikouline, +11 authors S Vanhatalo
  • 1998

Neuron

  • I Fried, K A Macdonald, C L Wilson
  • 1997

J. Neurosci

  • M Steriade, A Nunez, F Amzica
  • 1993

Handbook of Stochastic Methods

  • C Gardiner
  • 1990

Proc. Natl. Acad. Sci. U S A

  • M Gray, W Singer
  • 1989

Physiol. Rev. Logothetis, J. Neurosci

  • U Mitzdorf
  • 1985
Showing 1-10 of 11 extracted citations