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Hyperspherical Manifold for EEG Signals of Epileptic Seizures
Joint Authors
Ahmad, Tahir
Ramachandran, Vinod
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-01
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The mathematical modelling of EEG signals of epileptic seizures presents a challenge as seizure data is erratic, often with no visible trend.
Limitations in existing models indicate a need for a generalized model that can be used to analyze seizures without the need for apriori information, whilst minimizing the loss of signal data due to smoothing.
This paper utilizes measure theory to design a discrete probability measure that reformats EEG data without altering its geometric structure.
An analysis of EEG data from three patients experiencing epileptic seizures is made using the developed measure, resulting in successful identification of increased potential difference in portions of the brain that correspond to physical symptoms demonstrated by the patients.
A mapping then is devised to transport the measure data onto the surface of a high-dimensional manifold, enabling the analysis of seizures using directional statistics and manifold theory.
The subset of seizure signals on the manifold is shown to be a topological space, verifying Ahmad's approach to use topological modelling.
American Psychological Association (APA)
Ahmad, Tahir& Ramachandran, Vinod. 2012. Hyperspherical Manifold for EEG Signals of Epileptic Seizures. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993852
Modern Language Association (MLA)
Ahmad, Tahir& Ramachandran, Vinod. Hyperspherical Manifold for EEG Signals of Epileptic Seizures. Journal of Applied Mathematics No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-993852
American Medical Association (AMA)
Ahmad, Tahir& Ramachandran, Vinod. Hyperspherical Manifold for EEG Signals of Epileptic Seizures. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993852