Event № 628
Event № 628
TE PDE and Applied Mathematics Seminar - David Holcman, ENS 29/10/2013, Tuesday, 14:30
Name: PDE and Applied Mathematics Seminar
Title: Oscillation of the exit time distribution from an attractor, role of the second eigenvalue and application in Neurobiology.
Speaker: David Holcman, ENS
Place: Amado 619, Technion
Neuronal networks can generate complex patterns of activity, yet we do not understand them. I will present a model based on synaptic properties and connectivity of the neuronal network and analyze the responses to single electrical stimulation of neuronal ensembles from small (between 2-20 cells in a restricted sphere) and large (acute hippocampal slice) networks. We found that the time for the neuronal potential of connected neurons to stay in a Up-state (depolarized) is non Poissonian. This behavior is not accounted for by any previous analysis of stochastic perturbation of a dynamical system. To resolve the origin of this phenomenon, I will present a singular perturbation analysis of the associated Fokker-Planck equation and a computation of the entire spectrum of this nonself-adjoint operator, using boundary layer methods.
SubmittedBy: Nir Gavish , email@example.com
EventLink: Event № 628