Wave structures in ring-shaped systems of homogeneous neuron modules
type: Item
instance of: scholarly article
title: Wave structures in ring-shaped systems of homogeneous neuron modules
zbMATH Open document ID: 0874.92008
author: V. V. Maĭorov
author: S. A. Kashchenko
published in: Doklady Mathematics
publication date: 1997-11-02T00:00:00Z
review text: Structural elements of the brain, i.e., neurons, generate short-time impulses with great amplitudes, i.e., spikes, spontaneously or under the influence of an external action. According to the widespread point of view, the information perceived by the brain is reflected and stored for some time as wave packets formed by groupings of spikes. We simulate the forming of wave packets for ring-shaped systems of neuron modules containing excitatory and inhibitory neurons. Our main result states that inside each module some of the excitatory elements synchronize spikes, while the others inhibit them, i.e., generate no impulses. Temporal discords, unambiguously determined by the number of the uninhibited neurons, arise between groupings of neuron spikes of neighboring modules. The contents of the sets of synchronously functioning neurons and their number inside a module depend on the initial conditions. If we interpret the space distribution, or pattern, of spikes in a module as an image, we can say that the net can store a given sequence of images for an infinitely long time. Not only can the patterns themselves bear information, but their distribution in time can do it as well.
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 1037731
zbMATH Keywords: brain
zbMATH Keywords: groupings of spikes
zbMATH Keywords: wave packets
zbMATH Keywords: ring-shaped systems of neuron modules
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1037731