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Neuronal Shot Noise and Brownian 1/f2 Behavior in the Local Field Potential

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  • Joshua Milstein
  • Florian Mormann
  • Itzhak Fried
  • Christof Koch

Abstract

We demonstrate that human electrophysiological recordings of the local field potential (LFP) from intracranial electrodes, acquired from a variety of cerebral regions, show a ubiquitous 1/f2 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/f2 Brownian 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 in time and 2) rapidly firing, temporally correlated cells that generate UP-DOWN states.

Suggested Citation

  • Joshua Milstein & Florian Mormann & Itzhak Fried & Christof Koch, 2009. "Neuronal Shot Noise and Brownian 1/f2 Behavior in the Local Field Potential," PLOS ONE, Public Library of Science, vol. 4(2), pages 1-5, February.
    • Handle: RePEc:plo:pone00:0004338
    DOI: 10.1371/journal.pone.0004338
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    Cited by:

    1. Aguilar-Velázquez, D. & Guzmán-Vargas, L., 2017. "Synchronization and 1/f signals in interacting small-world networks," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 418-425.
    2. Klas H Pettersen & Henrik Lindén & Tom Tetzlaff & Gaute T Einevoll, 2014. "Power Laws from Linear Neuronal Cable Theory: Power Spectral Densities of the Soma Potential, Soma Membrane Current and Single-Neuron Contribution to the EEG," PLOS Computational Biology, Public Library of Science, vol. 10(11), pages 1-26, November.

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