Neuronal Shot Noise and Brownian 1/f2 Behavior in the Local Field Potential |
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| Authors: | Joshua Milstein Florian Mormann Itzhak Fried Christof Koch |
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| Affiliation: | 1. California Institute of Technology, Pasadena, California, United States of America.; 2. Department of Neurosurgery, David Geffen School of Medicine and Semel Institute of Neuroscience and Human Behavior, University of California Los Angeles, Los Angeles, California, United States of America.; 3. Functional Neurosurgery Unit, Tel-Aviv Medical Center and Sackler Faculty of Medicine, Tel-Aviv University, Tel-Aviv, Israel.;Instituto Cajal - CSIC, Spain |
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| 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. |
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