Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression

Handle URI:
http://hdl.handle.net/10754/599686
Title:
Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression
Authors:
Kilpatrick, Zachary P.; Bressloff, Paul C.
Abstract:
We study the spatiotemporal dynamics of a two-dimensional excitatory neuronal network with synaptic depression. Coupling between populations of neurons is taken to be nonlocal, while depression is taken to be local and presynaptic. We show that the network supports a wide range of spatially structured oscillations, which are suggestive of phenomena seen in cortical slice experiments and in vivo. The particular form of the oscillations depends on initial conditions and the level of background noise. Given an initial, spatially localized stimulus, activity evolves to a spatially localized oscillating core that periodically emits target waves. Low levels of noise can spontaneously generate several pockets of oscillatory activity that interact via their target patterns. Periodic activity in space can also organize into spiral waves, provided that there is some source of rotational symmetry breaking due to external stimuli or noise. In the high gain limit, no oscillatory behavior exists, but a transient stimulus can lead to a single, outward propagating target wave. © Springer Science + Business Media, LLC 2009.
Citation:
Kilpatrick ZP, Bressloff PC (2009) Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression. J Comput Neurosci 28: 193–209. Available: http://dx.doi.org/10.1007/s10827-009-0199-6.
Publisher:
Springer Nature
Journal:
Journal of Computational Neuroscience
KAUST Grant Number:
KUK-C1-013-4
Issue Date:
29-Oct-2009
DOI:
10.1007/s10827-009-0199-6
PubMed ID:
19866351
Type:
Article
ISSN:
0929-5313; 1573-6873
Sponsors:
This publication was based on work supported in part by the National Science Foundation (DMS0813677) and by Award No KUK-C1-013-4 made by King Abdullah University of Science and Technology (KAUST). PCB was also partially supported by the Royal Society-Wolfson Foundation. We would like to thank Carlo Laing for helpful conversations regarding numerical simulations. We also thank Bard Ermentrout for highlighting issues regarding bump stability calculations in the high-gain limit.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKilpatrick, Zachary P.en
dc.contributor.authorBressloff, Paul C.en
dc.date.accessioned2016-02-28T06:07:32Zen
dc.date.available2016-02-28T06:07:32Zen
dc.date.issued2009-10-29en
dc.identifier.citationKilpatrick ZP, Bressloff PC (2009) Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression. J Comput Neurosci 28: 193–209. Available: http://dx.doi.org/10.1007/s10827-009-0199-6.en
dc.identifier.issn0929-5313en
dc.identifier.issn1573-6873en
dc.identifier.pmid19866351en
dc.identifier.doi10.1007/s10827-009-0199-6en
dc.identifier.urihttp://hdl.handle.net/10754/599686en
dc.description.abstractWe study the spatiotemporal dynamics of a two-dimensional excitatory neuronal network with synaptic depression. Coupling between populations of neurons is taken to be nonlocal, while depression is taken to be local and presynaptic. We show that the network supports a wide range of spatially structured oscillations, which are suggestive of phenomena seen in cortical slice experiments and in vivo. The particular form of the oscillations depends on initial conditions and the level of background noise. Given an initial, spatially localized stimulus, activity evolves to a spatially localized oscillating core that periodically emits target waves. Low levels of noise can spontaneously generate several pockets of oscillatory activity that interact via their target patterns. Periodic activity in space can also organize into spiral waves, provided that there is some source of rotational symmetry breaking due to external stimuli or noise. In the high gain limit, no oscillatory behavior exists, but a transient stimulus can lead to a single, outward propagating target wave. © Springer Science + Business Media, LLC 2009.en
dc.description.sponsorshipThis publication was based on work supported in part by the National Science Foundation (DMS0813677) and by Award No KUK-C1-013-4 made by King Abdullah University of Science and Technology (KAUST). PCB was also partially supported by the Royal Society-Wolfson Foundation. We would like to thank Carlo Laing for helpful conversations regarding numerical simulations. We also thank Bard Ermentrout for highlighting issues regarding bump stability calculations in the high-gain limit.en
dc.publisherSpringer Natureen
dc.subjectExcitatory neuronal networken
dc.subjectOscillationsen
dc.subjectSpiral wavesen
dc.subjectStationary bumpsen
dc.subjectSynaptic depressionen
dc.titleSpatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depressionen
dc.typeArticleen
dc.identifier.journalJournal of Computational Neuroscienceen
dc.contributor.institutionUniversity of Utah, Salt Lake City, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-4en

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