Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.

We consider and analyze the influence of spike-timing dependent plasticity (STDP) on homeostatic states in synaptically coupled neuronal oscillators. In contrast to conventional models of STDP in which spike-timing affects weights of synaptic connections, we consider a model of STDP in which the tim...

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Main Authors: Victor Kazantsev, Ivan Tyukin
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2012-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3295799?pdf=render
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author Victor Kazantsev
Ivan Tyukin
author_facet Victor Kazantsev
Ivan Tyukin
author_sort Victor Kazantsev
collection DOAJ
description We consider and analyze the influence of spike-timing dependent plasticity (STDP) on homeostatic states in synaptically coupled neuronal oscillators. In contrast to conventional models of STDP in which spike-timing affects weights of synaptic connections, we consider a model of STDP in which the time lags between pre- and/or post-synaptic spikes change internal state of pre- and/or post-synaptic neurons respectively. The analysis reveals that STDP processes of this type, modeled by a single ordinary differential equation, may ensure efficient, yet coarse, phase-locking of spikes in the system to a given reference phase. Precision of the phase locking, i.e. the amplitude of relative phase deviations from the reference, depends on the values of natural frequencies of oscillators and, additionally, on parameters of the STDP law. These deviations can be optimized by appropriate tuning of gains (i.e. sensitivity to spike-timing mismatches) of the STDP mechanism. However, as we demonstrate, such deviations can not be made arbitrarily small neither by mere tuning of STDP gains nor by adjusting synaptic weights. Thus if accurate phase-locking in the system is required then an additional tuning mechanism is generally needed. We found that adding a very simple adaptation dynamics in the form of slow fluctuations of the base line in the STDP mechanism enables accurate phase tuning in the system with arbitrary high precision. Adaptation operating at a slow time scale may be associated with extracellular matter such as matrix and glia. Thus the findings may suggest a possible role of the latter in regulating synaptic transmission in neuronal circuits.
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spelling doaj.art-7bc0de4668034d1891fa89dac5e33af92022-12-21T20:32:57ZengPublic Library of Science (PLoS)PLoS ONE1932-62032012-01-0173e3041110.1371/journal.pone.0030411Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.Victor KazantsevIvan TyukinWe consider and analyze the influence of spike-timing dependent plasticity (STDP) on homeostatic states in synaptically coupled neuronal oscillators. In contrast to conventional models of STDP in which spike-timing affects weights of synaptic connections, we consider a model of STDP in which the time lags between pre- and/or post-synaptic spikes change internal state of pre- and/or post-synaptic neurons respectively. The analysis reveals that STDP processes of this type, modeled by a single ordinary differential equation, may ensure efficient, yet coarse, phase-locking of spikes in the system to a given reference phase. Precision of the phase locking, i.e. the amplitude of relative phase deviations from the reference, depends on the values of natural frequencies of oscillators and, additionally, on parameters of the STDP law. These deviations can be optimized by appropriate tuning of gains (i.e. sensitivity to spike-timing mismatches) of the STDP mechanism. However, as we demonstrate, such deviations can not be made arbitrarily small neither by mere tuning of STDP gains nor by adjusting synaptic weights. Thus if accurate phase-locking in the system is required then an additional tuning mechanism is generally needed. We found that adding a very simple adaptation dynamics in the form of slow fluctuations of the base line in the STDP mechanism enables accurate phase tuning in the system with arbitrary high precision. Adaptation operating at a slow time scale may be associated with extracellular matter such as matrix and glia. Thus the findings may suggest a possible role of the latter in regulating synaptic transmission in neuronal circuits.http://europepmc.org/articles/PMC3295799?pdf=render
spellingShingle Victor Kazantsev
Ivan Tyukin
Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
PLoS ONE
title Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
title_full Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
title_fullStr Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
title_full_unstemmed Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
title_short Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators.
title_sort adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators
url http://europepmc.org/articles/PMC3295799?pdf=render
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AT ivantyukin adaptiveandphaseselectivespiketimingdependentplasticityinsynapticallycoupledneuronaloscillators