Neuronal population dynamic model: An analytic approach

Wentao Huang, Licheng Jiao, Yuelei Xu, Shiping Ma, Jianhua Jia

Research output: Contribution to journalArticlepeer-review

Abstract

A novel analytic approach is presented to study the population of excitatory and inhibitory spiking neurons in this paper. The evolution in time of the population dynamic equation is determined by a partial differential equation. A new function is proposed to characterize the population of excitatory and inhibitory spiking neurons, which is different from the population density function discussed by most researchers. And a novel evolution equation, which is a nonhomogeneous parabolic type equation, is derived. From this, the stationary solution and the firing rate of the stationary states are given. Last, by the Fourier transform, the time dependent solution is also obtained. This method can be used to analyze the various dynamic behaviors of neuronal populations.

Original languageEnglish (US)
Pages (from-to)1159-1163
Number of pages5
JournalProgress in Natural Science
Volume19
Issue number9
DOIs
StatePublished - Sep 2009

Keywords

  • Analytic approach
  • Dynamic model
  • Fourier transform
  • Neuronal population

ASJC Scopus subject areas

  • Materials Science(all)

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