Neural pattern formation in networks with dendritic structure
File(s)
Accepted version
Author(s)
Bressloff, PC
De Souza, B
Type
Journal Article
Abstract
We present a detailed analysis of a recently proposed model of neural pattern formation that is based on the combined effect of diffusion along a neuron's dendritic tree and recurrent interactions along axo-dendritic synaptic connections. For concreteness, we consider a one-dimensional array of analog neurons with the dendritic tree idealized as a one-dimensional cable. Linear stability analysis and bifurcation theory together with numerical simulations are used to establish conditions for the onset of a Turing instability leading to the formation of stable spatial patterns of network output activity. It is shown that the presence of dendritic structure can induce dynamic (time-periodic) spatial pattern formation. Moreover, correlations between the dendritic location of a synapse and the relative positions of neurons in the network are shown to result in spatially oscillating patterns of activity along the dendrites of each neuron.
Date Issued
1998-04-15
Date Acceptance
1997-09-13
Citation
Physica D: Nonlinear Phenomena, 1998, 115 (1-2), pp.124-144
ISSN
0167-2789
Publisher
Elsevier
Start Page
124
End Page
144
Journal / Book Title
Physica D: Nonlinear Phenomena
Volume
115
Issue
1-2
Copyright Statement
Copyright © Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
http://dx.doi.org/10.1016/s0167-2789(97)00231-5
Publication Status
Published
Date Publish Online
1998-06-23