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Multiplicative synaptic normalisation and a non-linear Hebb rule underlie a neurotrophic model of competitive synaptic plasticity

Multiplicative synaptic normalisation and a non-linear Hebb rule underlie a neurotrophic model of competitive synaptic plasticity
Multiplicative synaptic normalisation and a non-linear Hebb rule underlie a neurotrophic model of competitive synaptic plasticity
Synaptic normalisation is used to enforce competitive dynamics is many models of developmental synaptic plasticity. In linear and semi-linear Hebbian models, multiplicative synaptic normalisation fails to segregate afferents whose activity patterns are positively correlated. To achieve this, the biologically problematic device of subtractive synaptic normalisation must be used instead. Our own model of competition for neurotrophic support, which can segregate positively correlated afferents, was developed in part in an attempt to overcome these problems by removing the need for synaptic normalisation altogether. However, we now show that the dynamics of our model decompose into two decoupled subspaces, with competitive dynamics being implemented in one of them through a non-linear Hebb rule and multiplicative synaptic normalisation. This normalisation is "emergent" rather than imposed. We argue that these observations permit biologically plausible forms of synaptic normalisation to be viewed as abstract and general descriptions of the underlying biology in certain, scaleless models of synaptic plasticity.
1311-1322
Elliott, Terry
b4262f0d-c295-4ea4-b5d8-3931470952f9
Shadbolt, Nigel R
5c5acdf4-ad42-49b6-81fe-e9db58c2caf7
Elliott, Terry
b4262f0d-c295-4ea4-b5d8-3931470952f9
Shadbolt, Nigel R
5c5acdf4-ad42-49b6-81fe-e9db58c2caf7

Elliott, Terry and Shadbolt, Nigel R (2002) Multiplicative synaptic normalisation and a non-linear Hebb rule underlie a neurotrophic model of competitive synaptic plasticity. Neural Computation, 14, 1311-1322.

Record type: Article

Abstract

Synaptic normalisation is used to enforce competitive dynamics is many models of developmental synaptic plasticity. In linear and semi-linear Hebbian models, multiplicative synaptic normalisation fails to segregate afferents whose activity patterns are positively correlated. To achieve this, the biologically problematic device of subtractive synaptic normalisation must be used instead. Our own model of competition for neurotrophic support, which can segregate positively correlated afferents, was developed in part in an attempt to overcome these problems by removing the need for synaptic normalisation altogether. However, we now show that the dynamics of our model decompose into two decoupled subspaces, with competitive dynamics being implemented in one of them through a non-linear Hebb rule and multiplicative synaptic normalisation. This normalisation is "emergent" rather than imposed. We argue that these observations permit biologically plausible forms of synaptic normalisation to be viewed as abstract and general descriptions of the underlying biology in certain, scaleless models of synaptic plasticity.

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Published date: 2002
Organisations: Web & Internet Science

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Local EPrints ID: 258902
URI: https://eprints.soton.ac.uk/id/eprint/258902
PURE UUID: 667fd7c9-3665-46c1-842f-8811708c590c

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Date deposited: 26 Feb 2004
Last modified: 18 Jul 2017 09:29

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Contributors

Author: Terry Elliott
Author: Nigel R Shadbolt

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