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

Christopher L Buckley; Seth Bullock

doi:10.1016/j.biosystems.2008.05.026

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

Christopher L Buckley, Seth Bullock

School of Computer Science, Electrical and Electronic Engineering and Engineering Maths

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

1 Citation (Scopus)

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.

Original language	English
Title of host publication	Biosystems
Subtitle of host publication	Proceedings of the Seventh International Workshop on Information Processing in Cells and Tissues (IPCAT 2007)
Editors	Nigel Crook, Tjeerd olde Scheper
Publisher	Amsterdam:Elsevier
Pages	2-9
Number of pages	8
Volume	94
Edition	1-2
DOIs	https://doi.org/10.1016/j.biosystems.2008.05.026
Publication status	Published - Oct 2008

Bibliographical note

Event Dates: 29th - 31st August 2007

Keywords

Dynamical systems theory
Linear stability analysis
CTRNN
Networks
Signal propagation

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10.1016/j.biosystems.2008.05.026

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Buckley, C. L., & Bullock, S. (2008). Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons. In N. Crook, & T. O. Scheper (Eds.), Biosystems: Proceedings of the Seventh International Workshop on Information Processing in Cells and Tissues (IPCAT 2007) (1-2 ed., Vol. 94, pp. 2-9). Amsterdam:Elsevier. https://doi.org/10.1016/j.biosystems.2008.05.026

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

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.",

keywords = "Dynamical systems theory, Linear stability analysis, CTRNN, Networks, Signal propagation",

author = "Buckley, {Christopher L} and Seth Bullock",

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language = "English",

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Buckley, CL & Bullock, S 2008, Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons. in N Crook & TO Scheper (eds), Biosystems: Proceedings of the Seventh International Workshop on Information Processing in Cells and Tissues (IPCAT 2007). 1-2 edn, vol. 94, Amsterdam:Elsevier, pp. 2-9. https://doi.org/10.1016/j.biosystems.2008.05.026

Sensitivity and stability : A signal propagation sweet spot in a sheet of recurrent centre crossing neurons. / Buckley, Christopher L; Bullock, Seth.

Biosystems: Proceedings of the Seventh International Workshop on Information Processing in Cells and Tissues (IPCAT 2007). ed. / Nigel Crook; Tjeerd olde Scheper. Vol. 94 1-2. ed. Amsterdam:Elsevier, 2008. p. 2-9.

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - Sensitivity and stability

T2 - A signal propagation sweet spot in a sheet of recurrent centre crossing neurons

AU - Buckley, Christopher L

AU - Bullock, Seth

N1 - Event Dates: 29th - 31st August 2007

PY - 2008/10

Y1 - 2008/10

N2 - 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.

AB - 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.

KW - Dynamical systems theory

KW - Linear stability analysis

KW - CTRNN

KW - Networks

KW - Signal propagation

UR - http://seis.bris.ac.uk/~sb15704/pubs_abstracts.html#eps266777

U2 - 10.1016/j.biosystems.2008.05.026

DO - 10.1016/j.biosystems.2008.05.026

M3 - Conference Contribution (Conference Proceeding)

C2 - 18652874

VL - 94

SP - 2

EP - 9

BT - Biosystems

A2 - Crook, Nigel

A2 - Scheper, Tjeerd olde

PB - Amsterdam:Elsevier

ER -

Buckley CL, Bullock S. Sensitivity and stability: A signal propagation sweet spot in a sheet of recurrent centre crossing neurons. In Crook N, Scheper TO, editors, Biosystems: Proceedings of the Seventh International Workshop on Information Processing in Cells and Tissues (IPCAT 2007). 1-2 ed. Vol. 94. Amsterdam:Elsevier. 2008. p. 2-9 https://doi.org/10.1016/j.biosystems.2008.05.026

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

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Keywords

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