Structural stability of flat electroencephalography

Flat Electroencephalography is a way of viewing electroencephalography signals on the first component of Fuzzy Topograhic Topological Mapping (FTTM), a model which was designed to solve neuromagnetic inverse problem. This novel method is well known for its ability to preserves the orientation and magnitude of EEG sensors and signals. However, this preservation renders Flat EEG to contain unwanted signals captured during recording from the surroundings. Consequently, its accuracy in depicting actual electrical activity inside the brain is affected. Present of artifacts would pose a serious problem if it is large. Thusly, this study will investigate the persistence of Flat EEG to surrounding “noises” from dynamic viewpoint by means of structural stability. Basically, it will be showed that Flat EEG in the presence of “noises” may still reflects the actual electrical activity inside the brain, if the contaminated Flat EEG falls within a class of dynamical systems.

[1]  Tahir Ahmad,et al.  Topological Conjugacy Between Seizure and Flat Electroencephalography , 2010 .

[2]  Piotr J. Franaszczuk,et al.  Epileptic seizures are characterized by changing signal complexity , 2001, Clinical Neurophysiology.

[3]  Saeid Sanei,et al.  EEG signal processing , 2000, Clinical Neurophysiology.

[4]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .

[5]  Richard A. C. Hughes,et al.  European Handbook of Neurological Management , 2011 .

[6]  Matthew A. Adamo,et al.  A Guide to the Primary Care of Neurological Disorders , 1998 .

[7]  S. Wiggins.  Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[8]  Andrew J. Cole,et al.  Is it necessary to define the ictal onset zone with EEG prior to performing resective epilepsy surgery? , 2011, Epilepsy & Behavior.

[9]  Stuart C. Yudofsky,et al.  The American Psychiatric Publishing Textbook of Psychiatry , 2014 .

[10]  Morris W. Hirsch,et al.  System of differential equations that are competitive or cooperative. IV: structural stability in three-dimensional systems , 1990 .

[11]  Structural stability and hyperbolic attractors , 1979 .

[12]  Anthony W. Knapp,et al.  Advanced Real Analysis , 2005 .

[13]  F. M. de Azevedo,et al.  C++ Video-EEG Processing System With Sights to the Epileptic Seizure Detection , 2007 .

[14]  T. Ahmad,et al.  Flows of Continuous-Time Dynamical Systems with No Periodic Orbit as an Equivalence Class under Topological Conjugacy Relation , 2011 .