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- W2014302431 abstract "Abstract Both spontaneous and evoked potentials measured on the surface of the head are believed due to postsynaptic potentials in vertically oriented neurons in the cortex. Potential differences between surface locations at any given time are due to the instantaneous difference in synaptic activity between the corresponding vertical regions. Because of the high correlation of activity between regions separated by distances large compared to the radius of influence of single neurons, communication between these locations must be by means of action potentials. In order to quantify the dynamics of interaction of 10 10 cortical neurons, use is made of the concept of a neural mass. The neural mass consists of sufficiently large number of neurons so as to exhibit certain average properties which are independent of its exact inner circuitry. An integral wave equation is derived to describe the spatial-temporal variation of cortical potential. Solutions are obtained indicating that electrical oscillations, which are independent of the location and time history of subcortical input, can persist in the cortex. The nature of these oscillations depends on the relative abundance of excitatory and inhibitory connections between neural masses and on the physiological state of the brain. The latter is partially determined by velocity distribution functions for action potential propagation. A dispersion relation for brain waves is shown to exist for certain ranges of the connection parameters. In some limiting cases, weakly damped waves occur with ω = ck , where c refers to a characteristic velocity for the distribution functions. Preliminary experiments indicate qualitative agreement with this result." @default.
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- W2014302431 date "1974-12-01" @default.
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- W2014302431 title "The brain wave equation: a model for the EEG" @default.
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- W2014302431 doi "https://doi.org/10.1016/0025-5564(74)90020-0" @default.
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