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Rate response of neurons subject to fast or frozen noise : from stochastic and homogeneous to deterministic and heterogeneous populations

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Alijani, Azadeh and Richardson, Magnus J. E.. (2011) Rate response of neurons subject to fast or frozen noise : from stochastic and homogeneous to deterministic and heterogeneous populations. Physical Review E, Vol.84 (No.1). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.84.011919

Abstract

The response of a neuronal population to afferent drive can be expected to be sensitive to both the distribution and dynamics of membrane voltages within the population. Voltage fluctuations can be driven by synaptic noise, neuromodulators, or cellular inhomogeneities: processes ranging from millisecond autocorrelation times to effectively static or "frozen" noise. Here we extend previous studies of filtered fluctuations to the experimentally verified exponential integrate-and-fire model. How fast or frozen fluctuations affect the steady-state rate and firing-rate response are both examined using perturbative solutions and limits of a 1 + 2 dimensional Fokker-Planck equation. The central finding is that, under conditions of a more-or-less constant population voltage variance, the firing-rate response is only weakly dependent on the fluctuation filter constant: The voltage distribution is the principal determinant of the population response. This result is unexpected given the nature of the systems underlying the extreme limits of fast and frozen fluctuations; the first limit represents a homogeneous population of neurons firing stochastically, whereas the second limit is equivalent to a heterogeneous population of neurons firing deterministically.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
Divisions: Faculty of Science > Mathematics
Faculty of Science > Centre for Systems Biology
Library of Congress Subject Headings (LCSH): Neurons -- Research, Neurons -- Mathematical models, Neural transmission
Journal or Publication Title: Physical Review E
Publisher: American Physical Society
ISSN: 1539-3755
Date: 25 July 2011
Volume: Vol.84
Number: No.1
Identification Number: 10.1103/PhysRevE.84.011919
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/38591

Data sourced from Thomson Reuters' Web of Knowledge

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