Applied Math And Analysis Seminar
Wednesday, March 28, 2018, 12:00pm, Physics 119
Nicolas Brunel (Duke)
Collective states with irregular single neuron activity in brain networks
Abstract:- Electrophysiological recordings of neurons in the cortex of mammals
reveal a ubiquitous high degree of irregularity of single neuron
activity. The mechanisms and functional role of this irregular
activity remain the subject of debate. Here, I will describe
simplified models of networks of neurons, and analytical tools that
can be used to understand their dynamics. Under some conditions, such
networks can be described using a system of coupled Fokker-Planck
equations (one for each class of neurons composing the network), in
which the drift and diffusion terms depend on the probability flux at
firing threshold. Provided specific conditions on network
connectivity are satisfied, these models reproduce some of the
landmark features observed in experiments (highly irregular firing at
low rates, weak correlations between neurons, wide distributions of
firing rates). Interestingly, these networks show a rich diversity of
irregular states (chaotic or not, asynchronous or synchronous). [video]
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