论文信息 - Kinetic approach to neural systems.

Kinetic approach to neural systems.

A kinetic model of neural systems is introduced and discussed with statistical mechanics techniques. It is assumed that, for a macroscopic description of the model, it suffices to consider only the distribution for the velocity and position of the impulses, and the distribution for the excitation and position of the neurons, at any time t . Making use of Boltzmann's method for the study of a dilute gas, coupled differential equations for the rate of change with time of the distributions have been constructed.

F Ventriglia | F. Ventriglia

[1] E. Caianiello. Outline of a theory of thought-processes and thinking machines. , 1961, Journal of theoretical biology.

[2] E D Adrian,et al. The interpretation of potential waves in the cortex , 1934, The Journal of physiology.

[3] J. Cowan,et al. Excitatory and inhibitory interactions in localized populations of model neurons. , 1972, Biophysical journal.

[4] E D Adrian,et al. The spread of activity in the cerebral cortex , 1936, The Journal of physiology.

[5] D. R. Smith,et al. Maintained Activity in Neural Nets , 1962, JACM.

[6] T. G. Cowling,et al. The mathematical theory of non-uniform gases , 1939 .

[7] J. Griffith. On the stability of brain-like structures. , 1963, Biophysical journal.

[8] Donald H. Perkel,et al. Solutions for a stochastic model of neuronal spike production , 1970 .

[9] A. Rapoport. Contribution to the probabilistic theory of neural nets: I. Randomization of refractory periods and of stimulus intervals , 1950 .

[10] R. Elul,et al. BRAIN WAVES: INTRACELLULAR RECORDING AND STATISTICAL ANALYSIS HELP CLARIFY THEIR PHYSIOLOGICAL SIGNIFICANCE , 1968 .