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Transcript
Department of Statistics
SCIENTIFIC AND STATISTICAL COMPUTING SEMINAR
ALEX ROXIN
Computational Neuroscience
Centre de Recerca Matemàtica
Synchrony and Firing Rate in Neuronal Networks: An Exact Meanfield
Approach
THURSDAY, March 12, 2015 at 4:30 PM
133 Eckhart Hall, 5734 S. University Avenue
ABSTRACT
Neurons primarily communicate via chemical synapses which are activated by temporally
narrow all-or-none electrical events called action potentials. For this reason networks of model
neurons which are capable of generating spikes, and which are connected via synapse-like
interactions, are an essential computational tool for exploring brain function. Networks of real
neurons also often display a high degree of recurrent synaptic connections as well as
considerable heterogeneity in single cell parameters. Network models incorporating all of these
defining features are generally not amenable to analysis given the high dimensionality and strong
nonlinearities they imply. Rather, these network models are studied via numerical simulation.
Given this, researchers often seek to characterize the dynamical properties of spiking networks
by means of reduced models. These models are heuristic and generally treat the mean firing rate
in the network as the variable of interest. As such, these models can in principle capture changes
in firing rate, but not the degree of spike synchrony in the network.
In this talk I will show how to derive an exact meanfield description for a spiking network,
revealing that a firing-rate description is insufficient to describe the full dynamics. Rather, the
mean firing rate is coupled dynamically to the subthreshold state of the neurons, which together
fully describe both the firing rate dynamics and the degree of spike synchrony.
_______________________________
Organizers:
Lek-Heng Lim, Department of Statistics, lekheng@galton.uchicago.edu, Ridgway Scott, Departments of Computer
Science and Mathematics, ridg@cs.uchicago.edu, Jonathan Weare, Department of Statistics and The James Franck
Institute, weare@uchicago.edu. SSC Seminar URL: http://www.stat.uchicago.edu/seminars/SSC\_seminars.shtml.
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