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Effect of phase response curve skew on synchronization with and without conduction delays

A central problem in cortical processing including sensory binding and attentional gating is how neurons can synchronize their responses with zero or near-zero time lag. For a spontaneously firing neuron, an input from another neuron can delay or advance the next spike by different amounts depending...

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Autores principales: Canavier, Carmen C., Wang, Shuoguo, Chandrasekaran, Lakshmi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3858834/
https://www.ncbi.nlm.nih.gov/pubmed/24376399
http://dx.doi.org/10.3389/fncir.2013.00194
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author Canavier, Carmen C.
Wang, Shuoguo
Chandrasekaran, Lakshmi
author_facet Canavier, Carmen C.
Wang, Shuoguo
Chandrasekaran, Lakshmi
author_sort Canavier, Carmen C.
collection PubMed
description A central problem in cortical processing including sensory binding and attentional gating is how neurons can synchronize their responses with zero or near-zero time lag. For a spontaneously firing neuron, an input from another neuron can delay or advance the next spike by different amounts depending upon the timing of the input relative to the previous spike. This information constitutes the phase response curve (PRC). We present a simple graphical method for determining the effect of PRC shape on synchronization tendencies and illustrate it using type 1 PRCs, which consist entirely of advances (delays) in response to excitation (inhibition). We obtained the following generic solutions for type 1 PRCs, which include the pulse-coupled leaky integrate and fire model. For pairs with mutual excitation, exact synchrony can be stable for strong coupling because of the stabilizing effect of the causal limit region of the PRC in which an input triggers a spike immediately upon arrival. However, synchrony is unstable for short delays, because delayed inputs arrive during a refractory period and cannot trigger an immediate spike. Right skew destabilizes antiphase and enables modes with time lags that grow as the conduction delay is increased. Therefore, right skew favors near synchrony at short conduction delays and a gradual transition between synchrony and antiphase for pairs coupled by mutual excitation. For pairs with mutual inhibition, zero time lag synchrony is stable for conduction delays ranging from zero to a substantial fraction of the period for pairs. However, for right skew there is a preferred antiphase mode at short delays. In contrast to mutual excitation, left skew destabilizes antiphase for mutual inhibition so that synchrony dominates at short delays as well. These pairwise synchronization tendencies constrain the synchronization properties of neurons embedded in larger networks.
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spelling pubmed-38588342013-12-27 Effect of phase response curve skew on synchronization with and without conduction delays Canavier, Carmen C. Wang, Shuoguo Chandrasekaran, Lakshmi Front Neural Circuits Neuroscience A central problem in cortical processing including sensory binding and attentional gating is how neurons can synchronize their responses with zero or near-zero time lag. For a spontaneously firing neuron, an input from another neuron can delay or advance the next spike by different amounts depending upon the timing of the input relative to the previous spike. This information constitutes the phase response curve (PRC). We present a simple graphical method for determining the effect of PRC shape on synchronization tendencies and illustrate it using type 1 PRCs, which consist entirely of advances (delays) in response to excitation (inhibition). We obtained the following generic solutions for type 1 PRCs, which include the pulse-coupled leaky integrate and fire model. For pairs with mutual excitation, exact synchrony can be stable for strong coupling because of the stabilizing effect of the causal limit region of the PRC in which an input triggers a spike immediately upon arrival. However, synchrony is unstable for short delays, because delayed inputs arrive during a refractory period and cannot trigger an immediate spike. Right skew destabilizes antiphase and enables modes with time lags that grow as the conduction delay is increased. Therefore, right skew favors near synchrony at short conduction delays and a gradual transition between synchrony and antiphase for pairs coupled by mutual excitation. For pairs with mutual inhibition, zero time lag synchrony is stable for conduction delays ranging from zero to a substantial fraction of the period for pairs. However, for right skew there is a preferred antiphase mode at short delays. In contrast to mutual excitation, left skew destabilizes antiphase for mutual inhibition so that synchrony dominates at short delays as well. These pairwise synchronization tendencies constrain the synchronization properties of neurons embedded in larger networks. Frontiers Media S.A. 2013-12-11 /pmc/articles/PMC3858834/ /pubmed/24376399 http://dx.doi.org/10.3389/fncir.2013.00194 Text en Copyright © 2013 Canavier,Wang and Chandrasekaran. http://creativecommons.org/licenses/by/3.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
spellingShingle Neuroscience
Canavier, Carmen C.
Wang, Shuoguo
Chandrasekaran, Lakshmi
Effect of phase response curve skew on synchronization with and without conduction delays
title Effect of phase response curve skew on synchronization with and without conduction delays
title_full Effect of phase response curve skew on synchronization with and without conduction delays
title_fullStr Effect of phase response curve skew on synchronization with and without conduction delays
title_full_unstemmed Effect of phase response curve skew on synchronization with and without conduction delays
title_short Effect of phase response curve skew on synchronization with and without conduction delays
title_sort effect of phase response curve skew on synchronization with and without conduction delays
topic Neuroscience
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3858834/
https://www.ncbi.nlm.nih.gov/pubmed/24376399
http://dx.doi.org/10.3389/fncir.2013.00194
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