The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
                 Mathematical Analysis and Applications Seminar
 
                    Seminar Room, Room 261, Ziskind Building
                          (Note the unusual location)
                         on Tuesday, December 27, 2011
                                  11:00 - noon
 
                                 Eli Shlizerman
                            University of Washington
 
                                 will speak on
 
                     Activity Measure Evolution Equations:
                  Dimension reduction for networks of neurons
 
Abstract:
In this talk I will present a framework called Activity Measure Evolution
Equations (AMEE) that we have developed to take into account the individual
dynamics of neurons and interactions between individuals. The resulting
equations model the dynamics of a projection that expresses the functionality
of a network. In the presence of spatially synchronous attractor these
equations serve as a dimension reduction for the complex network. Beyond
synchrony, such an approach allows to construct low-dimensional models that
retain the dynamics of coherent structures and identify responsible mechanisms
for decoherence.
 
A fascinating playground for AMEE is the neural system of olfaction in insects.
Experiments reveal that projection neurons in the Antennal Lobe (AL) exhibit
distinct robust firing patterns (attractors) associated with distinct odors.
Utilizing the experimental data we reduce a high-dimensional neural network
model of the AL to a decision making model for which existence of stable fixed
points is shown. The model is used to explain, predict and direct experiments
when odors are mixed or the structure of the network is altered.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Yaeli Malka   <yaeli.malka@weizmann.ac.il>