Abstract
In the setting of a kinetic approach to neural systems a more refined model is proposed. The subsequent kinetic equations are subjected to numerical investigation. The results show that the model retains the most evident properties of transmission of information of the natural neural systems.
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References
Angel, E., Bellman, R.: Dynamic programming and partial differential equations. New York, London: Academic Press 1972
Case, K.M., Hazeltine, R.D.: Fourier transform methods in linear transport theory. J. Math. Phys., 12, 1970–1980 (1971)
Elul, R.: The genesis of EEG. Int. Rev. Neurobiol. 15, 127–272 (1972)
Hebb, D.O.: Organization of behaviour. New York. Wiley & Sons 1949
Popper, K.R., Eccles, J.C.: The self and its brain. Berlin, Heidelberg, New York: Springer 1977
Scott, A.C.: Neurophysics. New York: Wiley & Sons 1977
Ventriglia, F.: Kinetic approach to neural systems. Int. J. Neurosci. 6, 29–30 (1973)
Ventriglia, F.: Kinetic approach to neural systems: I. Bul. Math. Biol. 36, 535–544 (1974)
Ventriglia, F.: Propagation of excitation in a model of neural system. Biol. Cybernetics 30, 75–79 (1978)
Ventriglia, F.: Kinetic theory of neural systems: Simulation of propagated waves. In INFO II 1979, Patras, Greece
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Ventriglia, F. Numerical investigation of kinetic neuronic equations for one-dimensional neural system. Biol. Cybernetics 36, 125–130 (1980). https://doi.org/10.1007/BF00365765
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DOI: https://doi.org/10.1007/BF00365765