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. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Yaeli Malka <yaeli.malka@weizmann.ac.il>