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Neuronal shot noise and Brownian 1/f2 behavior in the local field potential.

Milstein J, Mormann F, Fried I, Koch C - PLoS ONE (2009)

Bottom Line: 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/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) 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.

View Article: PubMed Central - PubMed

Affiliation: California Institute of Technology, Pasadena, California, United States of America. milstein@caltech.edu

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/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) 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.

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Modeling of UP-DOWN states by a telegraph process.Top: Binary sequence generated from a telegraph process. Bottom: Power spectrum of the binary sequence confirming the 1/f2 behavior. The slope of the dashed line is −2.
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pone-0004338-g004: Modeling of UP-DOWN states by a telegraph process.Top: Binary sequence generated from a telegraph process. Bottom: Power spectrum of the binary sequence confirming the 1/f2 behavior. The slope of the dashed line is −2.

Mentions: Figure 4 displays a binary sequence generated by a telegraph process and the 1/f2 dependence of its power spectrum. The telegraph process gives rise to periods of sustained, rapid activity followed by intervals of inactivity. This results in collective oscillations that display a much lower frequency than the rapid firing witnessed during depolarization. The result is a pattern of behavior reminiscent of UP-DOWN states common in cortex [24].


Neuronal shot noise and Brownian 1/f2 behavior in the local field potential.

Milstein J, Mormann F, Fried I, Koch C - PLoS ONE (2009)

Modeling of UP-DOWN states by a telegraph process.Top: Binary sequence generated from a telegraph process. Bottom: Power spectrum of the binary sequence confirming the 1/f2 behavior. The slope of the dashed line is −2.
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC2629847&req=5

pone-0004338-g004: Modeling of UP-DOWN states by a telegraph process.Top: Binary sequence generated from a telegraph process. Bottom: Power spectrum of the binary sequence confirming the 1/f2 behavior. The slope of the dashed line is −2.
Mentions: Figure 4 displays a binary sequence generated by a telegraph process and the 1/f2 dependence of its power spectrum. The telegraph process gives rise to periods of sustained, rapid activity followed by intervals of inactivity. This results in collective oscillations that display a much lower frequency than the rapid firing witnessed during depolarization. The result is a pattern of behavior reminiscent of UP-DOWN states common in cortex [24].

Bottom Line: 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/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) 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.

View Article: PubMed Central - PubMed

Affiliation: California Institute of Technology, Pasadena, California, United States of America. milstein@caltech.edu

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/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) 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.

Show MeSH
Related in: MedlinePlus