Title :
Chaos theory based mathematical modelling as manifested from scalp EEG using frequency analysis
Author :
Agrwal, Saurabh Kumar ; Singh, Bhanu Pratap ; Kumar, Ravindra
Author_Institution :
Dept. of Comput. Eng., Malaviya Nat. Inst. of Technol. Jaipur, Jaipur, India
Abstract :
The EEG (Electroencephalogram) signals are brain mapped signals that contain information about the brain´s complexity and uncertainty. The EEG signals though are useful but due to a large variety of data in them, may look random in nature. We have to extract the proper information from the data by computational modelling of scalp EEG signals. The chaos theory helps in analysing the neurobiological parameters which include Lyapunov Exponent, Approximate Entropy and Hurst Exponent. The frequency filtering of the data helps us in calculation of parameters for different frequency range. It is found that the different classes of data can be catalogued by computing parameters in a specific range of frequencies. As the different frequency band represents different states of mind so the value of parameter for subjects of same classes exhibit same pattern and can be easily distinguished from the other class of benign subjects. Moreover the data is testified by the values of Hurst Exponent for auto correlation.
Keywords :
Lyapunov methods; chaos; electroencephalography; medical computing; neurophysiology; physiological models; Hurst exponent; Lyapunov exponent; approximate entropy; autocorrelation; brain mapped signals; chaos theory based mathematical modelling; computational modelling; computing parameters; electroencephalogram signals; frequency analysis; frequency band; frequency data filtering; neurobiological parameters; scalp EEG signals; Brain modeling; Chaotic communication; Correlation; Electroencephalography; Entropy; ApEn; Hurst Exponent; LLE; chaotic parameters; frequency analysis; medical imaging; scalp EEG;
Conference_Titel :
Information & Communication Technologies (ICT), 2013 IEEE Conference on
Conference_Location :
JeJu Island
Print_ISBN :
978-1-4673-5759-3
DOI :
10.1109/CICT.2013.6558170