Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.

We previously proposed, on theoretical grounds, that the cerebellum must regulate the dimensionality of its neuronal activity during motor learning and control to cope with the low firing frequency of inferior olive neurons, which form one of two major inputs to the cerebellar cortex. Such dimension...

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Main Authors: Huu Hoang, Eric J Lang, Yoshito Hirata, Isao T Tokuda, Kazuyuki Aihara, Keisuke Toyama, Mitsuo Kawato, Nicolas Schweighofer
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2020-07-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1008075
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author Huu Hoang
Eric J Lang
Yoshito Hirata
Isao T Tokuda
Kazuyuki Aihara
Keisuke Toyama
Mitsuo Kawato
Nicolas Schweighofer
author_facet Huu Hoang
Eric J Lang
Yoshito Hirata
Isao T Tokuda
Kazuyuki Aihara
Keisuke Toyama
Mitsuo Kawato
Nicolas Schweighofer
author_sort Huu Hoang
collection DOAJ
description We previously proposed, on theoretical grounds, that the cerebellum must regulate the dimensionality of its neuronal activity during motor learning and control to cope with the low firing frequency of inferior olive neurons, which form one of two major inputs to the cerebellar cortex. Such dimensionality regulation is possible via modulation of electrical coupling through the gap junctions between inferior olive neurons by inhibitory GABAergic synapses. In addition, we previously showed in simulations that intermediate coupling strengths induce chaotic firing of inferior olive neurons and increase their information carrying capacity. However, there is no in vivo experimental data supporting these two theoretical predictions. Here, we computed the levels of synchrony, dimensionality, and chaos of the inferior olive code by analyzing in vivo recordings of Purkinje cell complex spike activity in three different coupling conditions: carbenoxolone (gap junctions blocker), control, and picrotoxin (GABA-A receptor antagonist). To examine the effect of electrical coupling on dimensionality and chaotic dynamics, we first determined the physiological range of effective coupling strengths between inferior olive neurons in the three conditions using a combination of a biophysical network model of the inferior olive and a novel Bayesian model averaging approach. We found that effective coupling co-varied with synchrony and was inversely related to the dimensionality of inferior olive firing dynamics, as measured via a principal component analysis of the spike trains in each condition. Furthermore, for both the model and the data, we found an inverted U-shaped relationship between coupling strengths and complexity entropy, a measure of chaos for spiking neural data. These results are consistent with our hypothesis according to which electrical coupling regulates the dimensionality and the complexity in the inferior olive neurons in order to optimize both motor learning and control of high dimensional motor systems by the cerebellum.
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spelling doaj.art-a8d4184e061b477e8dd081103775902e2022-12-21T23:30:44ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582020-07-01167e100807510.1371/journal.pcbi.1008075Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.Huu HoangEric J LangYoshito HirataIsao T TokudaKazuyuki AiharaKeisuke ToyamaMitsuo KawatoNicolas SchweighoferWe previously proposed, on theoretical grounds, that the cerebellum must regulate the dimensionality of its neuronal activity during motor learning and control to cope with the low firing frequency of inferior olive neurons, which form one of two major inputs to the cerebellar cortex. Such dimensionality regulation is possible via modulation of electrical coupling through the gap junctions between inferior olive neurons by inhibitory GABAergic synapses. In addition, we previously showed in simulations that intermediate coupling strengths induce chaotic firing of inferior olive neurons and increase their information carrying capacity. However, there is no in vivo experimental data supporting these two theoretical predictions. Here, we computed the levels of synchrony, dimensionality, and chaos of the inferior olive code by analyzing in vivo recordings of Purkinje cell complex spike activity in three different coupling conditions: carbenoxolone (gap junctions blocker), control, and picrotoxin (GABA-A receptor antagonist). To examine the effect of electrical coupling on dimensionality and chaotic dynamics, we first determined the physiological range of effective coupling strengths between inferior olive neurons in the three conditions using a combination of a biophysical network model of the inferior olive and a novel Bayesian model averaging approach. We found that effective coupling co-varied with synchrony and was inversely related to the dimensionality of inferior olive firing dynamics, as measured via a principal component analysis of the spike trains in each condition. Furthermore, for both the model and the data, we found an inverted U-shaped relationship between coupling strengths and complexity entropy, a measure of chaos for spiking neural data. These results are consistent with our hypothesis according to which electrical coupling regulates the dimensionality and the complexity in the inferior olive neurons in order to optimize both motor learning and control of high dimensional motor systems by the cerebellum.https://doi.org/10.1371/journal.pcbi.1008075
spellingShingle Huu Hoang
Eric J Lang
Yoshito Hirata
Isao T Tokuda
Kazuyuki Aihara
Keisuke Toyama
Mitsuo Kawato
Nicolas Schweighofer
Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.
PLoS Computational Biology
title Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.
title_full Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.
title_fullStr Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.
title_full_unstemmed Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.
title_short Electrical coupling controls dimensionality and chaotic firing of inferior olive neurons.
title_sort electrical coupling controls dimensionality and chaotic firing of inferior olive neurons
url https://doi.org/10.1371/journal.pcbi.1008075
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