Biological Cybernetics

, Volume 108, Issue 6, pp 747–756

Bifurcation and oscillation in a time-delay neural mass model

  • Shujuan Geng
  • Weidong Zhou
  • Xiuhe Zhao
  • Qi Yuan
  • Zhen Ma
  • Jiwen Wang
Original Paper

DOI: 10.1007/s00422-014-0616-4

Cite this article as:
Geng, S., Zhou, W., Zhao, X. et al. Biol Cybern (2014) 108: 747. doi:10.1007/s00422-014-0616-4

Abstract

The neural mass model developed by Lopes da Silva et al. simulates complex dynamics between cortical areas and is able to describe a limit cycle behavior for alpha rhythms in electroencephalography (EEG). In this work, we propose a modified neural mass model that incorporates a time delay. This time-delay model can be used to simulate several different types of EEG activity including alpha wave, interictal EEG, and ictal EEG. We present a detailed description of the model’s behavior with bifurcation diagrams. Through simulation and an analysis of the influence of the time delay on the model’s oscillatory behavior, we demonstrate that a time delay in neuronal signal transmission could cause seizure-like activity in the brain. Further study of the bifurcations in this new neural mass model could provide a theoretical reference for the understanding of the neurodynamics in epileptic seizures.

Keywords

Neural mass modelElectroencephalographyBifurcationSpike-like oscillationSeizure

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Shujuan Geng
    • 1
    • 2
    • 3
  • Weidong Zhou
    • 1
    • 3
  • Xiuhe Zhao
    • 3
    • 4
  • Qi Yuan
    • 1
    • 3
  • Zhen Ma
    • 1
    • 3
  • Jiwen Wang
    • 3
    • 4
  1. 1.School of Information Science and EngineeringShandong UniversityJinanPeople’s Republic of China
  2. 2.School of Information and Electric EngineeringShandong Jianzhu UniversityJinanPeople’s Republic of China
  3. 3.Suzhou InstituteShandong UniversitySuzhouPeople’s Republic of China
  4. 4.Qilu HospitalShandong UniversityJinanPeople’s Republic of China