A two-dimensional population density approach to modeling the dLGN/PGN network

  • Authors:

  • Marco A. Huertas;Gregory D. Smith

  • Affiliations:

  • Department of Applied Science, College of William and Mary, Williamsburg, VA 23187, USA;Department of Applied Science, College of William and Mary, Williamsburg, VA 23187, USA

  • Venue:
  • Neurocomputing
  • Year:
  • 2006

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Abstract

The interaction of two populations of integrate-and-fire-or-burst neurons representing thalamocortical cells from the dorsal lateral geniculate nucleus (dLGN) and thalamic reticular cells from the perigeniculate nucleus (PGN) is studied here using a population density approach. A two-dimensional probability density function that evolves according to a time-dependent advection-reaction equation gives the distribution of cells in each population over the membrane potential (v) and de-inactivation level (h) of the low-threshold Ca^2^+ current I"T. The response of the dLGN/PGN network is studied for optic tract stimulation protocols of different amplitude, duty cycle, and frequency.