Abstract
A second test is undertaken for a theory of linear wave motion in electrocortical waves, under lateral hypothalamic control via regulation of damping. This test invokes a general property of linear systems, namely that wave motion with characteristic natural frequencies implies fixed phase velocities associated with each wavelength, independent of the changes in hypothalamic input. A means of testing the invariance of this dispersion relation at the point of recording is derived from a simplified biophysical model for waves in a dipole layer. The method avoids some problems implicit in direct spatio-temporal wave analysis. Results confirm that the model under test is internally consistent, and is also consistent with other findings concerning the origin and spatial nature of the EEG.
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References
Childers, D.G.: Evoked responses: electrogenesis, models, methodology and wavefront reconstruction and tracking analysis. Proc. IEEE 65, 611–620 (1977)
Elul, R.: The genesis of the EEG. Int. Rev. Neurobiol. 15, 227–272 (1972)
Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman lectures on physics. Palo Alto: Addison-Wesley 1963
French, J.D., Hernandez-Peon, R., Livingstone, R.B.: Projections from cortex to cephalic brainstem (reticular formation) in the monkey. J. Neurophysiol. 18, 74 (1955)
Lehmann, D.: Multichannel topography of human alpha EEG fields. Electroenceph. Clin. Neurophysiol 31, 439–449 (1971)
Lindsley, D.B., Schreiner, L.H., Knowles, W.B., Magoun, H.W.: Behavioural and EEG changes following chronic brain stem lesions in the cat. Electroenceph. Clin. Neurophysiol. 2, 483–498 (1950)
MacKay, D.M.: Modelling of large scale nervous activity. In: Models and analogues in biology. Symposia of the society of experimental biology XIV, 1960
Mohler, R.R.. Bilinear control processes. Academic Press: New York 1973
Nunez, P.L.: The dipole layer as a model for scalp potentials. TIJJ Life Sci. 7, 65–72 (1977)
Nunez, P.L.: Electric fields of the brain. The neurophysics of the EEG, Oxford, New York: Oxford University Press 1981
Petsche, H., Rappelsberger, P.: Influence of cortical incisions on synchronisation pattern and travelling waves. Electroenceph. Clin. Neurophysiol. 28, 592–600 (1970)
Scheibel, M.E., Scheibel, A.B.: Structural organisation of nonspecific thalamic nuclei and their projection toward cortex. Brain Res. 6, 60–94 (1967)
Wright, J.J., Kydd, R.R.: A linear theory for global electrocortical activity and its control by the lateral hypothalamus. Biol. Cybern. 50, 75–82 (1984)
Wright, J.J., Kydd, R.R.: A test for constant natural frequencies in electrocortical activity under hypothalamic control. Biol. Cybern. 50, 83–88 (1984)
Zanchetti, A.: Subcortical and cortical mechanisms in arousal and emotional behaviour. In: The neurosciences: a study program. Quarton, G.C., Melnechuk, T., Schmitt, F.O. (eds.), pp. 602–614. New York: Rockefeller University Press 1967
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Wright, J.J., Kydd, R.R. Inference of a stable dispersion relation for electrocortical activity controlled by the lateral hypothalamus. Biol. Cybern. 50, 89–94 (1984). https://doi.org/10.1007/BF00337155
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DOI: https://doi.org/10.1007/BF00337155