A multichannel shot noise approach to describe synaptic background activity in neurons |
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Authors: | M Rudolph A Destexhe |
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Institution: | (1) Integrative and Computational Neuroscience Unit, CNRS, Bat. 33, 1 Avenue de la Terrasse, 91198 Gif-sur-Yvette Cedex, France |
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Abstract: | Systems driven by Poisson-distributed quantal inputs can be described as
“shot noise” stochastic processes. This formalism can apply to neurons
which receive a large number of Poisson-distributed synaptic inputs of similar
quantal size. However, the presence of temporal correlations between these
inputs destroys their quantal nature, and such systems can no longer be
described by classical shot noise processes. Here, we show that explicit
expressions for various statistical properties, such as the amplitude
distribution and the power spectral density, can be deduced and investigated
as functions of the correlation between input channels. The monotonic behavior
of these expressions allows an one-to-one relation between temporal
correlations and the statistics of fluctuations. Multi-channel shot noise
processes, therefore, open a way to deduce correlations in input patterns by
analyzing fluctuations in experimental systems. We discuss applications such
as detecting correlations in networks of neurons from intracellular recordings
of single neurons. |
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Keywords: | 87 10 +e General theory and mathematical aspects 05 40 -a Fluctuation phenomena random processes noise and Brownian motion 02 50 Ey Stochastic processes 02 50 -r Probability theory stochastic processes and statistics |
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