Complementarity of spike- and rate-based dynamics of neural systems.

Relationships between spiking-neuron and rate-based approaches to the dynamics of neural assemblies are explored by analyzing a model system that can be treated by both methods, with the rate-based method further averaged over multiple neurons to give a neural-field approach. The system consists of...

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Autores principales: M T Wilson, P A Robinson, B O'Neill, D A Steyn-Ross
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Publicado: Public Library of Science (PLoS) 2012
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spelling oai:doaj.org-article:d3ae86ab574a44ad959b83893071218d2021-11-18T05:51:14ZComplementarity of spike- and rate-based dynamics of neural systems.1553-734X1553-735810.1371/journal.pcbi.1002560https://doaj.org/article/d3ae86ab574a44ad959b83893071218d2012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22737064/pdf/?tool=EBIhttps://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358Relationships between spiking-neuron and rate-based approaches to the dynamics of neural assemblies are explored by analyzing a model system that can be treated by both methods, with the rate-based method further averaged over multiple neurons to give a neural-field approach. The system consists of a chain of neurons, each with simple spiking dynamics that has a known rate-based equivalent. The neurons are linked by propagating activity that is described in terms of a spatial interaction strength with temporal delays that reflect distances between neurons; feedback via a separate delay loop is also included because such loops also exist in real brains. These interactions are described using a spatiotemporal coupling function that can carry either spikes or rates to provide coupling between neurons. Numerical simulation of corresponding spike- and rate-based methods with these compatible couplings then allows direct comparison between the dynamics arising from these approaches. The rate-based dynamics can reproduce two different forms of oscillation that are present in the spike-based model: spiking rates of individual neurons and network-induced modulations of spiking rate that occur if network interactions are sufficiently strong. Depending on conditions either mode of oscillation can dominate the spike-based dynamics and in some situations, particularly when the ratio of the frequencies of these two modes is integer or half-integer, the two can both be present and interact with each other.M T WilsonP A RobinsonB O'NeillD A Steyn-RossPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 8, Iss 6, p e1002560 (2012)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
M T Wilson
P A Robinson
B O'Neill
D A Steyn-Ross
Complementarity of spike- and rate-based dynamics of neural systems.
description Relationships between spiking-neuron and rate-based approaches to the dynamics of neural assemblies are explored by analyzing a model system that can be treated by both methods, with the rate-based method further averaged over multiple neurons to give a neural-field approach. The system consists of a chain of neurons, each with simple spiking dynamics that has a known rate-based equivalent. The neurons are linked by propagating activity that is described in terms of a spatial interaction strength with temporal delays that reflect distances between neurons; feedback via a separate delay loop is also included because such loops also exist in real brains. These interactions are described using a spatiotemporal coupling function that can carry either spikes or rates to provide coupling between neurons. Numerical simulation of corresponding spike- and rate-based methods with these compatible couplings then allows direct comparison between the dynamics arising from these approaches. The rate-based dynamics can reproduce two different forms of oscillation that are present in the spike-based model: spiking rates of individual neurons and network-induced modulations of spiking rate that occur if network interactions are sufficiently strong. Depending on conditions either mode of oscillation can dominate the spike-based dynamics and in some situations, particularly when the ratio of the frequencies of these two modes is integer or half-integer, the two can both be present and interact with each other.
format article
author M T Wilson
P A Robinson
B O'Neill
D A Steyn-Ross
author_facet M T Wilson
P A Robinson
B O'Neill
D A Steyn-Ross
author_sort M T Wilson
title Complementarity of spike- and rate-based dynamics of neural systems.
title_short Complementarity of spike- and rate-based dynamics of neural systems.
title_full Complementarity of spike- and rate-based dynamics of neural systems.
title_fullStr Complementarity of spike- and rate-based dynamics of neural systems.
title_full_unstemmed Complementarity of spike- and rate-based dynamics of neural systems.
title_sort complementarity of spike- and rate-based dynamics of neural systems.
publisher Public Library of Science (PLoS)
publishDate 2012
url https://doaj.org/article/d3ae86ab574a44ad959b83893071218d
work_keys_str_mv AT mtwilson complementarityofspikeandratebaseddynamicsofneuralsystems
AT parobinson complementarityofspikeandratebaseddynamicsofneuralsystems
AT boneill complementarityofspikeandratebaseddynamicsofneuralsystems
AT dasteynross complementarityofspikeandratebaseddynamicsofneuralsystems
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