Abstract
Electroencephalography (EEG) signals during epileptic seizure can be viewed as a semigroup of upper triangular matrices under matrix multiplication. In this study, we will provide a novel algebraic structure for EEG signals during epileptic seizure and then find out the group complexity. In this case, the novel structure of EEG signals during seizure is investigated for potential and Average Potential Differences (APD).
Highlights
Epilepsy is a chronic disorder of the nervous system characterized by seizures which can affects people to suddenly become unconscious, violent and uncontrolled movements of the body (Magiorkinis et al, 2010)
Electroencephalography (EEG) is a system to measure electrical activity produced by the firing of neurons in the brain
The treatment and diagnosis of epilepsy are really aided by the use of EEG signal as a monitoring tool (Niedermeyer and Da Silva, 2005)
Summary
Epilepsy is a chronic disorder of the nervous system characterized by seizures which can affects people to suddenly become unconscious, violent and uncontrolled movements of the body (Magiorkinis et al, 2010). The coordinate system of EEG signals (Fig. 2a) was defined by (Zakaria, 2008) as follows: Binjadhnan and Ahmad (2010) shown EEG signals during epileptic seizure can be recorded and composed into a set of {J × J{ square matrices. Definition 3 (Okniński, 1998): Let{J, ̆{be a semigroup of all J × J upper triangular matrices over a fieldwith usual matrix multiplication.
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