Toward a minimal model of a large spiking cell

Steven Cox
Department of Computational & Applied Mathematics, Rice University

(October 31, 2011 2:30 PM - 3:30 PM)

Toward a minimal model of a large spiking cell

Abstract

The typical mammalian cortical neuron has about 5000 microns of dendrite. These dendrites are studded with synapses at a density of 1 per micron. The dendrites integrate this spatially distributed transient stimulus and coax, on occasion, the neuron to fire. Although the underlying mechanisms are known and well modeled, the sheer complexity has to date retarded attempts to incorporate such models in large network level simulations. In this talk we will couple structure preserving projection techniques for reducing the dynamics of the weakly excitable dendrites with discrete empirical interpolation near the spike initiation zone and arrive at a model with significantly fewer internal variables without sacrificing accuracy of the cell's input/output map. We will then demonstrate their ability to efficiently capture network level behavior.