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Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons

Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons
Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons
In this paper we demonstrate that signal propagation across a laminar sheet of recurrent neurons is maximised when two conditions are met. First, neurons must be in the so-called centre crossing configuration. Second, the network’s topology and weights must be such that the network comprises strongly coupled nodes, yet lies within the weakly coupled regime. We develop tools from linear stability analysis with which to describe this regime, and use them to examine the apparent tension between the sensitivity and instability of centre crossing networks.
Dynamical systems theory, Linear stability analysis, CTRNN, Networks, Signal propagation
2-9
Buckley, Christopher L
68a32d02-6b88-4796-a8d9-719ea6076832
Bullock, Seth
2ad576e4-56b8-4f31-84e0-51bd0b7a1cd3
Buckley, Christopher L
68a32d02-6b88-4796-a8d9-719ea6076832
Bullock, Seth
2ad576e4-56b8-4f31-84e0-51bd0b7a1cd3

Buckley, Christopher L and Bullock, Seth (2008) Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons. Biosystems, 94 (1-2), 2-9.

Record type: Article

Abstract

In this paper we demonstrate that signal propagation across a laminar sheet of recurrent neurons is maximised when two conditions are met. First, neurons must be in the so-called centre crossing configuration. Second, the network’s topology and weights must be such that the network comprises strongly coupled nodes, yet lies within the weakly coupled regime. We develop tools from linear stability analysis with which to describe this regime, and use them to examine the apparent tension between the sensitivity and instability of centre crossing networks.

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More information

Published date: 2008
Additional Information: Event Dates: 29th - 31st August 2007
Venue - Dates: the Seventh International Workshop on Information Processing in Cells and Tissues, Jesus College, Oxford, 2007-08-29 - 2007-08-31
Keywords: Dynamical systems theory, Linear stability analysis, CTRNN, Networks, Signal propagation
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 266777
URI: http://eprints.soton.ac.uk/id/eprint/266777
PURE UUID: 28255f1c-5f41-437e-aa08-7cae358e4bf0

Catalogue record

Date deposited: 12 Oct 2008 21:03
Last modified: 14 Mar 2024 08:35

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Contributors

Author: Christopher L Buckley
Author: Seth Bullock

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