B V Bakharev

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The integral equation, describing the electroencephalogram and taking into account the steepness of PSP fronts, delays of action potential spread, and neural Inhibito-inhibitory connections, is derived and analysed. The damping decrements and frequencies of the equation solutions in the continuum of parameters, associated with total numbers excitatory and(More)
The results obtained earlier showed that the electroencephalogram is represented as convolution of harmonic functions having negative decrements with discrete evenly discontinuous white Gaussian noise. The method of EEG decrements calculation has been proposed and tested on model processes with set-up parameters and on real rat encephalograms. Studies of(More)
A nonlinear voltage dependence between the membrane and excitatory postsynaptic potentials coming via corticocortical connections was derived based on literature data. The existence of a region of stability of oscillations with increasing mean value of nonspecific afferent input was shown. As the afferent input strongly increases, a high-frequency component(More)
The dependence of the postsynaptic potential amplitude on the membrane potential was entered into the earlier derived integral equations describing the interactions between excitatory and inhibitory populations of neocortical neurons. The influence of the potential dependence on steady states and the stable region of oscillations of the mean membrane(More)
The representation of an electroencephalogram as a convolution of harmonic functions having negative decrements with discrete (evenly discontinuous) white Gaussian noise was considered. A substantiation of this representation is given. It was numerically shown that the convolution of the decrement damping alpha-rhythm of one frequency with discrete white(More)
An integral equation that takes into account the absolute and relative refractory periods of cortical cells was added to the earlier obtained integral equations describing the cooperation of excitatory and inhibitory neurons of the cerebral cortex, and its substantiation was suggested. The steady states and the stable region of oscillations of the mean(More)
An investigation of the phase shifts between rhythmic constituents of the electrical activity of the hippocampus, somatosensory, motor, and visual areas of the neocortex of the rabbit during an increase in the frequency of stimulation of the reticular formation from 60 to 1000 imp/sec revealed the fluctuating character of the decrease in the phase shift in(More)
Phase shifts between the rhythmical activity of the hippocampus (CA1), somatosensory, motor and visual areas of the neocortex in the delta-, theta- and alpha-bands were studied during electrostimulation of the mesencephalic reticular formation with different frequencies. It was found that increasing stimulation frequency resulted in nonlinear decrease of(More)