Group Title: BMC Neuroscience
Title: Synchrony with shunting inhibition
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 Material Information
Title: Synchrony with shunting inhibition
Series Title: BMC Neuroscience
Physical Description: Archival
Creator: Talathi,Sachin
Hwang,Dong-Uk
Miliotis,Abraham
Carney,Paul
Ditto,William
Publication Date: 2009
 Notes
General Note: Start pageP233
General Note: M3: 10.1186/1471-2202-10-S1-P233
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Bibliographic ID: UF00099940
Volume ID: VID00001
Source Institution: University of Florida
Holding Location: University of Florida
Rights Management: Open Access: http://www.biomedcentral.com/info/about/openaccess/
Resource Identifier: issn - 1471-2202
http://www.biomedcentral.com/1471-2202/10/S1/P233

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BMC Meuroscience


Poster presentation


Synchrony with shunting inhibition
Sachin S Talathi*, Dong-Uk Hwang, Abraham Miliotis, Paul R Carney and
William L Ditto


Address: Department of Biomedical Engineering, University of Florida, Gainesville, Florida, 32611, USA
Email: Sachin S Talathi* sachin.talathi@bme.ufl.edu
* Corresponding author



from Eighteenth Annual Computational Neuroscience Meeting: CNS*2009
Berlin, Germany. 18-23 July 2009

Published: 13 July 2009
BMCNeuroscience 2009, I 0(Suppl 1):P233 doi:10.1186/1471-2202-10-SI-P233


This abstract is available from: http://www.biomedcentral.com/1471-2202/10/SI/P233
2009 Talathi et al; licensee BioMed Central Ltd.


Spike time response curves (STRC's) are used to study the
influence of synaptic stimuli on the firing times of a neu-
ron oscillator without the assumption of weak coupling.
They allow us to approximate the dynamics of synchro-
nous state in networks of neurons through a discrete map.
Linearization about the fixed point of the discrete map
can then be used to predict the stability of patterns of syn-
chrony in the network. General theory for taking into
account the contribution from higher order STRC terms,
in the approximation of the discrete map for coupled neu-
ronal oscillators in synchrony is still lacking. Here we
present a general framework to account for higher order
STRC corrections in the approximation of discrete map to
determine the domain of 1:1 phase locking state in the
network of two interacting neurons. We begin by demon-
strating that the effects of synaptic stimuli through a
shunting synapse to a neuron firing in the gamma fre-
quency band (20-80 Hz) last for three consecutive firing
cycles (See Figure 1). We then show that the discrete map
derived by taking into account the higher order STRC con-
tributions is successfully able predict the domain of syn-
chronous 1:1 phase locked state in a network of two
heterogeneous interneurons coupled through a shunting
synapse (See Figure 2).

Acknowledgements
The work was funded through the grant from the Office of Naval Nesearch
(N00014-02-1-1019).


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Figure I
(a) Schematic diagram demonstrating the effect of perturba-
tion received by a spiking neuron at time t. The cycle con-
taining the perturbation defines the first order STRC and the
subsequent cycles define the higher order STRC terms. (b)
The STRC's computed for neuron receiving perturbation
through a GABAA mediated synapse at hyperpolarizing
reversal potential of ER = -80 mV. (c) The STRC's computed
for neuron receiving perturbation through a GABAA medi-
ated synapse at shunting reversal potential of ER = -55 mV.
The resting membrane potential of neuron is -65 mV. The
synaptic parameters are tR = 0.1 ms, tD = 8 ms, g, = 0.15 mS/
cm2. The intrinsic period of firing for the neuron was To = 31
ms.


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Figure 2
(a) Schematic diagram of the network considered: Two neu-
rons with heterogeneity in their firing rates coupled through
a shunting inhibitory synapse. (b) Schematic diagram repre-
senting spike timing for neurons A and B when they are
phase locked in 1:1 synchrony. In (c) and (d) we show
domain of 1:1 synchrony (phase locked state) estimated
through STRC's from the discrete map derived by taking into
account higher order STRC contributions for shunting syn-
apse.


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BMC Neuroscience 2009, 10(Suppl 1):P233




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