Chaos and Brain Wave Activity: Measures of Irregular Time Series

1988 ◽  
Author(s):  
Bruce West
2020 ◽  
Author(s):  
Vo V. Anh ◽  
Hung T. Nguyen ◽  
Ashley Craig ◽  
Yvonne Tran ◽  
Yu Guang Wang

AbstractThis paper investigates the cause and detection of power-law scaling of brain wave activity due to the heterogeneity of the brain cortex, considered as a complex system, and the initial condition such as the alert or fatigue state of the brain. Our starting point is the construction of a mathematical model of global brain wave activity based on EEG measurements on the cortical surface. The model takes the form of a stochastic delay-differential equation (SDDE). Its fractional diffusion operator and delay operator capture the responses due to the heterogeneous medium and the initial condition. The analytical solution of the model is obtained in the form of a Karhunen-Loève expansion. A method to estimate the key parameters of the model and the corresponding numerical schemes are given. Real EEG data on driver fatigue at 32 channels measured on 50 participants are used to estimate these parameters. Interpretation of the results is given by comparing and contrasting the alert and fatigue states of the brain.The EEG time series at each electrode on the scalp display power-law scaling, as indicated by their spectral slopes in the low-frequency range. The diffusion of the EEG random field is non-Gaussian, reflecting the heterogeneity of the brain cortex. This non-Gaussianity is more pronounced for the alert state than the fatigue state. The response of the system to the initial condition is also more significant for the alert state than the fatigue state. These results demonstrate the usefulness of global SDDE modelling complementing the time series approach for EEG analysis.


1998 ◽  
Vol 34 (1) ◽  
pp. 84-91 ◽  
Author(s):  
A Bufalari ◽  
SM Miller ◽  
C Giannoni ◽  
CE Short

Cardiovascular, pulmonary, and quantitative electroencephalographic parameters were assessed in 12 anesthetized dogs to determine the compatibility of the injectable anesthetic propofol with halothane and isoflurane. No cases of apnea were observed during induction of anesthesia. An adequate level of anesthesia was established in each protocol as judged by both the lack of response to mechanical noxious stimuli (i.e., tail clamping) and evidence of reduction in total amplitude of brain wave activity. The initial propofol-mediated decrease in arterial blood pressure continued during either halothane (52.4%) or isoflurane (38%) anesthesia without a simultaneous increase in heart rate. The results of this study suggest that propofol, in combination with inhalant agents, can be used effectively and safely for canine anesthesia in veterinary practice.


2007 ◽  
Vol 117 (12) ◽  
pp. 1731-1746 ◽  
Author(s):  
D. HERBERT ◽  
Y. TRAN ◽  
A. CRAIG ◽  
P. BOORD ◽  
J. MIDDLETON ◽  
...  

2012 ◽  
Vol 49 (4) ◽  
pp. 574-582 ◽  
Author(s):  
Ashley Craig ◽  
Yvonne Tran ◽  
Nirupama Wijesuriya ◽  
Hung Nguyen

Author(s):  
Tomasz Prauzner ◽  
Małgorzata Prauzner ◽  
Kacper Prauzner ◽  
Paweł Ptak

The article presents the methodology of laboratory tests carried out in the Laboratory of Experimental Research Biofeedback of the Jan Dlugosz University in Czestochowa (Poland) regarding the evaluation of education effectiveness by registering brain wave activity using electroencephalographic research (EEG method). The research results indicate that, depending on the form of the computer program visualization, a change in the activity of SMR, Beta1, Beta2 and Gamma waves was observed. The results are presented in the form of graphs and 2D brain activity images using the equipment Mitsar EEG 202 and WinEEG software


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