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Author(s): Grossberg, S. |
Year: 1978
Citation: In R. Trappl, G.J. Klir, & L. Ricciardi (Eds.), Progress in Cybernetics and Systems Research: General Systems Methodology, Fuzzy Mathematics and Fuzzy Systems, Biocybernetics and Theoretical Neurobiology, New York: Halsted Press, 3, 58- 76.
Abstract: This work defines and analyzes the dynamics of a general excitable membrane. The definition generalizes such special cases the Hodgkin-Huxley and FitzHugh-Nagumo models of nerve impulse transmission. It describes how any number of microscopic membrane processes are synthesized by a macroscopic potential which, in turn, influences the microscopic processes by feedback. Each microscopic process corresponds to the statistics of switching on and off suitable membrane sites. The macroscopic potential obeys a nonlinear diffusion equation.
