Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression
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 structur...
| Main Authors: | , |
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| פורמט: | Journal article |
| יצא לאור: |
2010
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| _version_ | 1826285533088710656 |
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| author | Kilpatrick, Z Bressloff, P |
| author_facet | Kilpatrick, Z Bressloff, P |
| author_sort | Kilpatrick, Z |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T01:30:14Z |
| format | Journal article |
| id | oxford-uuid:935b1021-36d0-44db-973f-deefda72b657 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:30:14Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:935b1021-36d0-44db-973f-deefda72b6572022-03-26T23:31:44ZSpatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depressionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:935b1021-36d0-44db-973f-deefda72b657Mathematical Institute - ePrints2010Kilpatrick, ZBressloff, PWe 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. |
| spellingShingle | Kilpatrick, Z Bressloff, P Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression |
| title | Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression |
| title_full | Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression |
| title_fullStr | Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression |
| title_full_unstemmed | Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression |
| title_short | Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression |
| title_sort | spatially structured oscillations in a two dimensional excitatory neuronal network with synaptic depression |
| work_keys_str_mv | AT kilpatrickz spatiallystructuredoscillationsinatwodimensionalexcitatoryneuronalnetworkwithsynapticdepression AT bressloffp spatiallystructuredoscillationsinatwodimensionalexcitatoryneuronalnetworkwithsynapticdepression |