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Stochastic Methods in Neuroscience
Oxford University Press
Carlo Laing and Gabriel J Lord
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 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 and de-inactivation level of a low-threshold calcium current. In the absence of retinal drive, the population density network model exhibits rhythmic bursting. In the presence of constant retinal input, the aroused LGN/PGN population density model displays a wide range of responses depending on cellular parameters and network connectivity.
Huertas, M. A., & Smith, G. D. (2009). A Population Density Model of the Driven LGN/PGN. Carlo Laing and Gabriel J Lord (Ed.), Stochastic Methods in Neuroscience . Oxford University Press. https://scholarworks.wm.edu/asbookchapters/136