Biologically-Inspired Neural
Networks for Modeling Nonlinear Neurodynamics
The area of research we focus on is understanding
cognitive processing relating to learning, and brain pathologies
specifically in the area of epileptic seizures. These areas share a
common theme in the concept of the 'electrically balanced
brain' . When electrical activity in the brain reaches a
particular threshold in large neural group firings, which can be
found in seizures, or even 'small' seizure attributes found in the
neural firings exhibited during cognitive processing, the electrical activity
of the brain attempts to restore itself back to its original
electrical state.
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Chaotic Attractors found in the Mind |
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We use Nonlinear Neurodynamic tools to decipher and
analyze the signals produced through mesoscopic neural groups and
captured from EEG data recordings. In order to study the electrical
behavior of the areas of the brain that exhibit cognitive processing
and seizure behavior, we have developed a dynamic
neural network model based on Katchalsky sets ("K sets"). The
architecture of the K-sets, specifically the KIV model, exhibit many
similar attributes found in biological systems that incorporate the
limbic system found the brain architecture of salamanders, primates,
and humans. Analysis of the electrical brain signal through signal
processing concepts such as power spectral densities and non-linear
dynamic tools such as Lyapunov exponents enable us to study the
attributes of the brain signal during cognitive processing, awake,
sleep, and seizure states.
The image above
is the inherent chaotic attractors found in a
signal that was captured through an EEG.
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