CASPIAN JOURNAL
MANAGEMENT AND HIGH TECHNOLOGIES
Simulation of the electrical processes in the brain by nonlinear dynamics methods
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Read | Starchenko Irina B., Reznichenko Alexandr A., Budko Raisa Yu. Simulation of the electrical processes in the brain by nonlinear dynamics methods // Caspian journal : management and high technologies. — 2013. — №2. — pp. 80-90. |
Starchenko Irina B. - D.Sc. (Engineering), Professor, Southern Federal University, 2 Shevchenko St., Taganrog, 347922, Russian Federation, star@sfedu.ru
Reznichenko Alexandr A. - post-graduate student, Southern Federal University, 2 Shevchenko St., Taganrog, 347922, Russian Federation, naos_88@mail.ru
Budko Raisa Yu. - student, Southern Federal University, 2 Shevchenko St., Taganrog, 347922, Russian Federation, raisa-budko@yandex.ru
A numerical study of mesoscopic model of brain activity by non-linear dynamics methods was done. Three border states has been simulated: relatively healthy - ?-rhythm (before attack), an epileptic attack and after attack. Model parameters are defined: the subcortical excitation potential and excitatory effects of currents on the value of the membrane potential of soma of excitatory and inhibitory cells, which are the main contributors to the change in the states of the brain. Oscillograms of EEG signal and attractors of the system of brain neurons were analyzed for different states of the brain in a variation of model parameters. Normally, attractor is a kind of "tangled ball". During the attack the state of the system is ordered, and attractor becomes a set of single loops. After the attack, usually attractor has the form of a spiral, which corresponds to the damped oscillatory process.
Key words: electroencephalogram,mesoscopic model,attack,attractor,phase portrait,neuron,polarization,cortex,resting potential,neurotransmitting factor