title: Bifurcation and oscillation in a time-delay neural mass model.
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.
authors.affiliation: School of Information Science and Engineering, Shandong University, 27 Shanda Road, Jinan, 250100, People's Republic of China.
authors.forename: Shujuan
authors.initials: S
authors.lastname: Geng
authors.forename: Weidong
authors.initials: W
authors.lastname: Zhou
authors.forename: Xiuhe
authors.initials: X
authors.lastname: Zhao
authors.forename: Qi
authors.initials: Q
authors.lastname: Yuan
authors.forename: Zhen
authors.initials: Z
authors.lastname: Ma
authors.forename: Jiwen
authors.initials: J
authors.lastname: Wang
mesh_terms: D000513:Alpha Rhythm / Q000502:physiology*; D003198:Computer Simulation; D004569:Electroencephalography; D025461:Feedback, Physiological; D007395:Interneurons / Q000502:physiology; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology; D017711:Nonlinear Dynamics; D012640:Seizures / Q000503:physiopathology; D009435:Synaptic Transmission; D013995:Time