Analytically determining frequency and amplitude of spontaneous alpha oscillation in Jansens neural mass model using the describing function method

Yao Xu, Chun Hui Zhang, Ernst Niebur, Jun Song Wang

Research output: Contribution to journalArticle

Abstract

Spontaneous alpha oscillations are a ubiquitous phenomenon in the brain and play a key role in neural information processing and various cognitive functions. Jansen's neural mass model (NMM) was initially proposed to study the origin of alpha oscillations. Most of previous studies of the spontaneous alpha oscillations in the NMM were conducted using numerical methods. In this study, we aim to propose an analytical approach using the describing function method to elucidate the spontaneous alpha oscillation mechanism in the NMM. First, the sigmoid nonlinear function in the NMM is approximated by its describing function, allowing us to reformulate the NMM and derive its standard form composed of one nonlinear part and one linear part. Second, by conducting a theoretical analysis, we can assess whether or not the spontaneous alpha oscillation would occur in theNMMand, furthermore, accurately determine its amplitude and frequency. The results reveal analytically that the interaction between linearity and nonlinearity of the NMM plays a key role in generating the spontaneous alpha oscillations. Furthermore, strong nonlinearity and large linear strength are required to generate the spontaneous alpha oscillations.

Original languageEnglish (US)
Article number048701
JournalChinese Physics B
Volume27
Issue number4
DOIs
StatePublished - Apr 1 2018

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oscillations
nonlinearity
brain
linearity
conduction
interactions

Keywords

  • describing function
  • neural mass model
  • spontaneous alpha oscillation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Analytically determining frequency and amplitude of spontaneous alpha oscillation in Jansens neural mass model using the describing function method. / Xu, Yao; Zhang, Chun Hui; Niebur, Ernst; Wang, Jun Song.

In: Chinese Physics B, Vol. 27, No. 4, 048701, 01.04.2018.

Research output: Contribution to journalArticle

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