Synchronized dynamics of cortical neurons with time-delay feedback |
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Authors: | Alexandra S Landsman Ira B Schwartz |
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Institution: | (1) US Naval Research Laboratory, Code 6792, Nonlinear Systems Dynamics Section, Plasma Physics Division, Washington, DC 20375, USA |
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Abstract: | The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically.
The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the outer neurons than
the feedback it receives, to model for instance the relay of a signal from primary to higher cortical areas. For a given coupling
architecture, the delays introduce correlations in the time series at the time-scale of the delay. It was found that the middle
neuron leads the outer ones by the delay time, while the outer neurons are synchronized with zero lag times. Synchronization
is found to be highly dependent on the synaptic time constant, with faster synapses increasing both the degree of synchronization
and the firing rate. Analysis shows that pre-synaptic input during the inter-spike interval stabilizes the synchronous state,
even for arbitrarily weak coupling, and independent of the initial phase. The finding may be of significance to synchronization
of large groups of cells in the cortex that are spatially distanced from each other. |
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