
Accession Number : AD0696684
Title : A STATISTICAL MECHANICS OF NERVOUS ACTIVITY.
Descriptive Note : Interim technical rept. 1 Jan15 Oct 69,
Corporate Author : CHICAGO UNIV ILL COMMITTEE ON MATHEMATICAL BIOLOGY
Personal Author(s) : Cowan,Jack D.
Report Date : OCT 1969
Pagination or Media Count : 81
Abstract : A mathematical model is developed of the activity of nets of model nerve cells. A nonlinear operator is introduced to represent the transfer characteristics of nerve cells. This operator is a continuous function that represents the mean neural response to stimulating currents and voltages. The mathematics used is not the Boolean algebra of switching circuits, but differential equations. The dynamics of certain model neural circuits is examined, some of which are shown to exhibit undamped oscillatory responses to incoming signals. The techniques of Hamiltonian mechanics, equilibrium statistical mechanics, and Brownian motion theory are used to derive formulas for statistical features of the dynamics. A preliminary model is given for the existence of preferred states found in the firing patterns of neurons in animal nervous systems. (Author)
Descriptors : (*ELECTROPHYSIOLOGY, *STATISTICAL MECHANICS), (*NERVE CELLS, MATHEMATICAL MODELS), NERVOUS SYSTEM, RESPONSE(BIOLOGY), EQUATIONS, PHYSIOLOGY, DYNAMICS, DIFFERENTIAL EQUATIONS, BIONICS, BROWNIAN MOTION
Subject Categories : Bionics
Distribution Statement : APPROVED FOR PUBLIC RELEASE