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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Spring 2009 Seminar Series
Presents
Dynamics of Correlation and Coding in Simple Neural
Circuits
Eric Shea-Brown
University of Washington
Friday, May 1st, 2009 3:00 - 4:00pm WEBB 1100
Abstract:
Correlations among neural spike times are ubiquitous, and questions of how these correlations develop,
and of the impact they have on the neural code, are central in neuroscience. Their analysis also
poses rich applied mathematics problems. We address two of the most basic ones here. First, we
ask: How do correlations among different neurons depend on the cells' operating range -- their rate
and regularity of spiking? We use both linear response calculations and in vitro experiments to show
that correlations between pairs of neurons vary sharply with their firing rates, almost universally. We
illustrate the consequences via Fisher information, which quantifies the accuracy of encoding. Next,
we ask: How do correlations among different trials depend on architecture of neural circuits? (Here,
the same stimulus is received by the circuit on each `trial.') We take a first step toward the answer
by identifying a surprising role for some, but not all, feedback connections in creating unreliable (and

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics