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Zoltán Somogyvári Hungarian Academy of Sciences, KFKI Research Institute for Particle and Nuclear Physics Department of Biophysics A model-based approach to the cortical dynamics
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Analysis of cortical dynamics via evoked epilepsy: Altering the dynamics with pharmacological agents on a more-or-less known way. Analysis of spatio-temporal dynamics of the evoked seizure. Chapter 1
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Local field potential during seizure An experimental epilepsy model: seizure evoked by 4-Aminopyridin. 3 phases, based on typical waveshape and frequency.
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Data analysis: Wavelet transformation 0 8 16 24 32 40 48 56 64 50 40 30 20 10 0 Time (s) Frequency (Hz) Amplitude
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A simple modell of cortical micro- circuits and populational dynamics Four populations of McCulloch-Pitts type neuron models Depressing excitatory and non-depressing inhibitory synapses Noise on the input Random or topographic connections between populations
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The behaviour of the model: recurrent seizures and the dynamical attractors The synaptic depression drives the system from the slowing fully activated regime to regime of the irregular or chaotic oscillation.
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Parameter dependence of dynamics Changeing the relative force of excitation and inhibition, - epileptiform spikes - complex seizures - status epilepticus could be obtained Seizures could be eliminated by increasing the strength of the inhibition
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Comparison of the measured and the simulated pseudo-attractors Simulated Measured
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Three epileptogen drug 4-aminopyridin (4AP): blocks K + -channels and increases thesynaptic transmission bicuculin (BMI):GABA-receptor blocker, inhibits the inhibition Mg 2+ -free solution (MFR):Eliminates the Mg 2+ blockades of the NMDA-receptors, thus strenghtens the excitatory synapses
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Measurement of spatio-temporal potential patterns by micro-electrode systems
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In electrolyte volume conductor the potential satisfies the Poisson-equation Potentials are driven by Poisson-equation J(r)= E(r) Low frequency approximation: Ohm's law: Continuity equation:
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Spatio temporal dynamics of epileptic spikes evoked by 4-AP
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Spatio temporal dynamics of epileptic spikes evoked by BIC
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Spatio temporal dynamics of epileptic spikes evoked by MFR
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Characteristic features of the current source density maps Common features in all three type : A strong source in the IV th lamina A large sink from the top of the VI. th lamina to the V th lamina Late components with small amplitudes
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Characteristic differences between the three CSD maps Typical differences: 4AP:simple structure, BMI:strong sink in the III. lamina MFR: A large sink in the VI. lamina
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