-- ELECTRICAL BURSTING IN NEURON MODELS: A STEP TOWARD UNDERSTANDING "FE NEURAL "WORK MECHANISMS

Teresa Ree Chay bp-nt of Biological Sciences, University of Piasburgh

Pittsburgh, PA 15260 USA

Abstract How t h e n e u r o n s g e n e r a t e t h e e l e c t r i c a l

b u r s t s u n d o u b t e d l y p l a y s a ma jo r r o l e i n

neuronal i n fo rma t ion p rocess ing . I n t h i s paper ,

w e p r e s e n t dynamical models of t h e neurons t h a t

g i v e rise t o b u r s t i n g . With t h e models, w e t h e n

demonstrate t h e c o n d i t i o n s i n which t h e neurons

g e n e r a t e a n enormous ly complex b i f u r c a t i n g

s t r u c t u r e of e l e c t r i c a l b u r s t i n g .

COMBINATORIAL ANALYSIS OF "€'ORAL SEQUENCES

PULSE-TRANSMISSION NEURAL NETWORKS

Aging on a Neural Network Judith E. Dayhoff

John Cerella Veterans Administration

17 Court street Boston, MA 02108

Absrrucr--Much of the data on the slowing of human information processes with advanced age, can be modelled by neural networks that have been corrupted in ways suggested by neuropathology. We assume that a sequential, loop-free network carries out some information processing task. Two types of age defects are introduced on the network, a progressive breakdown in neural connectivity, and a progressive attenuation in neural conduction. The consequence of these defects in terms of processing time are derived. Actual human response data are then reviewed, both as a function of task type and as a function of age. Tendencies in the data indicative of both types of network defects are seen. Which information processes are afnicted in which ways cannot yet be determined.

Judith Dayhoff & Associates, Inc. 2685 Marine Way, Suite 1220 Mountain View, CA 94043

ABSTRACT

This paper describes an approach to analyzing temporal patterns in pulse- transmission neural networks. Such networks appear in biology, and in neural models in which processing elements transmit pulses to one another. Combinatorial mathematics is used to characterize the amount of freedom there is in specifying temporal subsequences in impulse trains. A set of dependency equations is described, and related to a test for favored and suppressed temporal patterns. The concepts of independently prescribable sets and Good graphs are given, and related to temporal sequences,

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