Francois Delarue, Universite de Nice

Stochastic Analysis for a Simple Neuron Model Driven by a Periodic Signal and a Random Noise
Dec 7, 2010, 4:30 pm5:30 pm
101 - Sherrerd Hall
Event Description

We here consider a simple model of Langevin type for the potential of a neuron both driven by a periodic signal and a diffusive random noise. The neuron is then assumed to fire when the potential reaches a given threshold: a part of our analysis then consists in understanding how the density of the hitting time of the threshold by the diffusion process feels the periodic structure of the signal according to the noise intensity. After firing, the dynamics of the potential is assumed to be reset so that firing may occur again: another part of our analysis then consists in considering the spike train induced by the firing phenomenon. We then aim at defining a transition phase (w.r.t. the noise intensity) for the structure of the spike trains associated with a large number of neurons.

Event Category
ORFE Department Colloquia