Bifurcation and oscillation in a time-delay neural mass model

被引：7

作者：

Geng, Shujuan ^{[1
,2
,3
]}

Zhou, Weidong ^{[1
,3
]}

Zhao, Xiuhe ^{[3
,4
]}

Yuan, Qi ^{[1
,3
]}

Ma, Zhen ^{[1
,3
]}

Wang, Jiwen ^{[3
,4
]}

机构：

[1] Shandong Univ, Sch Informat & Elect Engn, Jinan 250100, Peoples R China

[2] Shandong Jianzhu Univ, Sch Informat & Elect Engn, Jinan 250100, Peoples R China

[3] Shandong Univ, Suzhou Inst, Suzhou 215123, Peoples R China

[4] Shandong Univ, Qilu Hosp, Jinan 250100, Peoples R China

来源：

BIOLOGICAL CYBERNETICS | 2014年 / 108卷 / 06期

关键词：

Neural mass model; Electroencephalography; Bifurcation; Spike-like oscillation; Seizure; LATERAL GENICULATE-NUCLEUS; HOPF-BIFURCATION; VISUAL-CORTEX; MATHEMATICAL-MODEL; PERIODIC-SOLUTIONS; EVOKED-RESPONSES; IDENTICAL CELLS; DYNAMICS; EEG; STABILITY;

D O I：

10.1007/s00422-014-0616-4

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：747 / 756

页数：10