Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion

Computational models at different spacetime scales allow us to understand the fundamentalmechanisms that govern neural processes and relate uniquely these processes to neurosciencedata. In this work, we propose a novel neurocomputational unit (a mesoscopic model whichtell us about the interaction be...

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Main Authors: Dipanjan eRoy, Viktor eJirsa
Format: Article
Language:English
Published: Frontiers Media S.A. 2013-03-01
Series:Frontiers in Computational Neuroscience
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fncom.2013.00020/full
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author Dipanjan eRoy
Viktor eJirsa
author_facet Dipanjan eRoy
Viktor eJirsa
author_sort Dipanjan eRoy
collection DOAJ
description Computational models at different spacetime scales allow us to understand the fundamentalmechanisms that govern neural processes and relate uniquely these processes to neurosciencedata. In this work, we propose a novel neurocomputational unit (a mesoscopic model whichtell us about the interaction between local cortical nodes in a large scale neural mass model)of bursters that qualitatively captures the complex dynamics exhibited by a full network ofparabolic bursting neurons. We observe that the temporal dynamics and fluctuation of meansynaptic action term exhibits a high degree of correlation with the spike/burst activity ofour population. With heterogeneity in the applied drive and mean synaptic coupling derivedfrom fast excitatory synapse approximations we observe long term behavior in our populationdynamics such as partial oscillations, incoherence, synchrony. In order to understand theorigin of multistability at the population level as a function of mean synaptic coupling andheterogeneity in the firing rate threshold we employ a simple generative model for parabolicbursting recently proposed by Ghosh, Roy & Jirsa (2009). Further, we use here a meancoupling formulated for fast spiking neurons for our analysis of generic model. Stabilityanalysis of this mean field network allow us to identify all the relevant network states foundin the detailed biophysical model. We derive here analytically several boundary solutions, aresult which holds for any number of spikes per burst. These findings illustrate the role ofoscillations occurring at slow time scales (bursts) on the global behavior of the network.
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spelling doaj.art-91e5e11f62fc4717904098366bbb17f52022-12-22T03:50:48ZengFrontiers Media S.A.Frontiers in Computational Neuroscience1662-51882013-03-01710.3389/fncom.2013.0002045614Inferring network properties of cortical neurons with synaptic coupling and parameter dispersionDipanjan eRoy0Viktor eJirsa1Technical University BerlinInstitut de Neurosciences des Systmes, Inserm UMR1106Computational models at different spacetime scales allow us to understand the fundamentalmechanisms that govern neural processes and relate uniquely these processes to neurosciencedata. In this work, we propose a novel neurocomputational unit (a mesoscopic model whichtell us about the interaction between local cortical nodes in a large scale neural mass model)of bursters that qualitatively captures the complex dynamics exhibited by a full network ofparabolic bursting neurons. We observe that the temporal dynamics and fluctuation of meansynaptic action term exhibits a high degree of correlation with the spike/burst activity ofour population. With heterogeneity in the applied drive and mean synaptic coupling derivedfrom fast excitatory synapse approximations we observe long term behavior in our populationdynamics such as partial oscillations, incoherence, synchrony. In order to understand theorigin of multistability at the population level as a function of mean synaptic coupling andheterogeneity in the firing rate threshold we employ a simple generative model for parabolicbursting recently proposed by Ghosh, Roy & Jirsa (2009). Further, we use here a meancoupling formulated for fast spiking neurons for our analysis of generic model. Stabilityanalysis of this mean field network allow us to identify all the relevant network states foundin the detailed biophysical model. We derive here analytically several boundary solutions, aresult which holds for any number of spikes per burst. These findings illustrate the role ofoscillations occurring at slow time scales (bursts) on the global behavior of the network.http://journal.frontiersin.org/Journal/10.3389/fncom.2013.00020/fullself-organizationoscillationsfiring rateGenerative Modelneural mass modelMultispikes
spellingShingle Dipanjan eRoy
Viktor eJirsa
Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
Frontiers in Computational Neuroscience
self-organization
oscillations
firing rate
Generative Model
neural mass model
Multispikes
title Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
title_full Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
title_fullStr Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
title_full_unstemmed Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
title_short Inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
title_sort inferring network properties of cortical neurons with synaptic coupling and parameter dispersion
topic self-organization
oscillations
firing rate
Generative Model
neural mass model
Multispikes
url http://journal.frontiersin.org/Journal/10.3389/fncom.2013.00020/full
work_keys_str_mv AT dipanjaneroy inferringnetworkpropertiesofcorticalneuronswithsynapticcouplingandparameterdispersion
AT viktorejirsa inferringnetworkpropertiesofcorticalneuronswithsynapticcouplingandparameterdispersion