Class-II neurons display a higher degree of stochastic synchronization than class-I neurons

Sashi Marella and G. Bard Ermentrout
Phys. Rev. E 77, 041918 – Published 29 April 2008

Abstract

We describe the relationship between the shape of the phase-resetting curve (PRC) and the degree of stochastic synchronization observed between a pair of uncoupled general oscillators receiving partially correlated Poisson inputs in addition to inputs from independent sources. We use perturbation methods to derive an expression relating the shape of the PRC to the probability density function (PDF) of the phase difference between the oscillators. We compute various measures of the degree of synchrony and cross correlation from the PDF’s and use the same to compare and contrast differently shaped PRCs, with respect to their ability to undergo stochastic synchronization. Since the shape of the PRC depends on underlying dynamical details of the oscillator system, we utilize the results obtained from the analysis of general oscillator systems to study specific models of neuronal oscillators. It is shown that the degree of stochastic synchronization is controlled both by the firing rate of the neuron and the membership of the PRC (type I or type II). It is also shown that the circular variance for the integrate and fire neuron and the generalized order parameter for a hippocampal interneuron model have a nonlinear relationship to the input correlation.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
4 More
  • Received 11 January 2008

DOI:https://doi.org/10.1103/PhysRevE.77.041918

©2008 American Physical Society

Authors & Affiliations

Sashi Marella*

  • Center for Neuroscience, University of Pittsburgh, Pittsburgh, Pennsylvania, 15261 USA

G. Bard Ermentrout

  • Department of Mathematics/Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania, 15261 USA

  • *Also at Center for the Neural Basis of Cognition, Carnegie Mellon University.
  • bard@math.pitt.edu; URL: http://www.pitt.edu/~phase

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 77, Iss. 4 — April 2008

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×