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dc.contributor.authorSteyn-Ross, Moira L.
dc.contributor.authorSteyn-Ross, D. Alistair
dc.contributor.authorWilson, Marcus T.
dc.contributor.authorSleigh, James W.
dc.date.accessioned2010-03-19T03:47:45Z
dc.date.available2010-03-19T03:47:45Z
dc.date.issued2010
dc.identifier.citationSteyn-Ross, D. A., Steyn-Ross, M. L., Wilson, M. T. & Sleigh, J. W. (2010). Cortical patterns and gamma genesis are modulated by reversal potentials and gap-junction diffusion. In D. A. Steyn-Ross & M. Steyn-Ross (Eds), Modeling Phase Transitions in the Brain. (pp. 271-299). New York, USA: Springer.en
dc.identifier.isbn978-1-4419-0795-0
dc.identifier.urihttps://hdl.handle.net/10289/3740
dc.description.abstractIn this chapter we describe a continuum model for the cortex that includes both axon-to-dendrite chemical synapses and direct neuron-to-neuron gap-junction diffusive synapses. The effectiveness of chemical synapses is determined by the voltage of the receiving dendrite V relative to its Nernst reversal potential Vrev. Here we explore two alternative strategies for incorporating dendritic reversal potentials, and uncover surprising differences in their stability properties and model dynamics. In the “slow-soma” variant, the (Vrev - V) weighting is applied after the input flux has been integrated at the dendrite, while for “fast-soma”, the weighting is applied directly to the input flux, prior to dendritic integration. For the slow-soma case, we find that–-provided the inhibitory diffusion (via gap-junctions) is sufficiently strong–-the cortex generates stationary Turing patterns of cortical activity. In contrast, the fast-soma destabilizes in favor of standing-wave spatial structures that oscillate at low-gamma frequency ( 30-Hz); these spatial patterns broaden and weaken as diffusive coupling increases, and disappear altogether at moderate levels of diffusion. We speculate that the slow- and fast-soma models might correspond respectively to the idling and active modes of the cortex, with slow-soma patterns providing the default background state, and emergence of gamma oscillations in the fast-soma case signaling the transition into the cognitive state.en
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherSpringeren_NZ
dc.relation.urihttp://www.springerlink.com/content/u14110h73u67m86n/?p=44e330dd01dc489e97543c32ce897be5π=1en
dc.rightsThis is an author’s accepted version of an article published in the book: Modeling Phase Transitions in the Brain. © 2010 Springer Science+Business Media, LLC.en
dc.subjectgap junctionsen
dc.subjectcortical patternsen
dc.subjectgamma oscillationen
dc.subjectbifurcationen
dc.subjectTuring instabilityen
dc.subjectwave instabilityen
dc.titleCortical patterns and gamma genesis are modulated by reversal potentials and gap-junction diffusionen
dc.typeChapter in Booken
dc.identifier.doi10.1007/978-1-4419-0796-7_12en
dc.relation.isPartOfModeling Phase Transitions in the Brainen_NZ
pubs.begin-page271en_NZ
pubs.elements-id9175
pubs.end-page299en_NZ


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