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The brain wave equation: A model for the EEG. (English) Zbl 0292.92001

MSC:
92B05 General biology and biomathematics
45B05 Fredholm integral equations
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[1] Humphrey, D.R., Re-analysis of the antidromic cortical response. I. potentials evoked by stimulation of the isolated pyramidal tract, Electroenceph. clin. neurophysiol, 24, 117, (1968)
[2] Creutzfeldt, O.D., Neuronal mechanisms underlying the EEG, ()
[3] Pollen, D.A., On the generation of neocortical potentials, ()
[4] Rall, W., Electrophysiology of a dendritic neuron model, Biophys. J., 2, 145, (1962)
[5] Bogdanov, K.; Golovchinskii, V.B., Mathematical model of the evoked response, Biofizika, 14, 521, (1969)
[6] Bogdanov, K.; Golovchinskii, V.B., Physical basis of recording the fast and slow electrical fluctuations in the cerebral cortex, Biofizika, 14, 530, (1969)
[7] Hendrix, C., Transmission of electric fields in cortical tissue: a model for the origin of the alpha rhythm, Bull. of math. biophysics, 27, 197, (1965)
[8] Johnson, L.; Lubin, A.; Naitoh, P.; Nute, C., Spectral analysis of the EEG of dominant and non-dominant alpha subjects during working and sleeping, Electroenceph. clin. neurophysiol, 26, 361, (1969)
[9] Van Der Tweel, L.H.; Verduyn Lunel, H.F.E., Human visual responses to sinusoidally modulated light, Electroenceph. clin. neurophysiol, 18, 587, (1965)
[10] Remond, A.; Leseuere, N.; Joseph, J.P.; Rieger, H.; Lairy, G.C., The alpha average. I. methodology and description, Electroenceph. clin. neurophysiol, 26, 245, (1969)
[11] Delucchi, M.R.; Garoutle, B.; Aird, R.B., The scalp as an electroencephalographic averager, Electroenceph. clin. neurophysiol., 14, 191, (1962)
[12] Andersen, P.; Andersson, S.A., Physiological basis for the alpha rhythm, (1968), Appleton-Century-Crofts New York
[13] Freeman, W.J., Linear analysis of the dynamics of neural masses, Ann. rev. biophys. bioeng., 1, 225, (1972)
[14] Rall, W., A statistical theory of monosynaptic input-output relations, J. cell. comp. physiol., 46, 373, (1955)
[15] Rall, W., Experimental monosynaptic input-output relations in Mammalian spinal cord, J. cell. comp. physiol., 46, 413, (1955)
[16] Sholl, D.A., The organization of the cerebral cortex, (1956), Methuen London
[17] Montegomery, D.C.; Tidman, D.A., Plasma kinetic theory, (1964), McGraw Hill New York
[18] Morse, P.M.; Feshbach, H., Methods of theoretical physics, (1953), McGraw Hill New York · Zbl 0051.40603
[19] Eccles, J.C., The physiology of synapses, (1964), Academic New York
[20] Freeman, W.J., The electrical activity of a primary sensory cortex: the analysis of EEG waves, Int. rev. neurobiol, 5, 53, (1963)
[21] Chang, H.T., Dendritic potential of cortical neurons produced by direct electrical stimulation of the cerebral cortex, J. neurophysiol, 14, 1, (1951)
[22] Freeman, W.J., Use of digital filters for measuring prepyriform evoked potentials from cats, Exp. neurol., 10, 475, (1964)
[23] Nunez, P., Representation of evoked potentials by Fourier-Bessel expansions, IEEE trans. bio-med. eng., 20, 372, (1973)
[24] Ramon-Moliner, E., The histology of the post-cruciate gyrus in the cat, J. comp. neurol., 117, 43, (1963)
[25] Rall, W.; Shepherd, G.M., Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb, J. neurophysiol, 31, 884, (1968)
[26] Beurle, R.L., Properties of a mass of cells capable of regenerating pulses, Trans. roy. soc., B240, 55, (1956), (London)
[27] Caianiello, E.R., Outline of a theory of thought processes and thinking machines, J. theor. biol., 1, 204, (1961)
[28] Griffith, J.S., On the stability of brain-like structures, Biophys. J., 3, 299, (1963)
[29] Nunez, P., Wave-like properties of the alpha rhythm, IEEE trans. on bio-med. eng., (1974), in press
[30] Stockard, J.J.; Smith, N.T.; Myers, R.R.; France, C.J.; Bickford, R.G., Quantitative comparison of the EEG responses to halothane and isoflurane, Electroenceph. clin. neurophysiol., (1974), in press
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