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Chin-Yueh Liu

2009-10-29
15:30:00 - 16:30:00

The kinetic theory approach to modeling neuronal networks

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, I will first briefly introduce the kinetic theory approach or called population density approach to modeling neuronal networks and its application to neuroscience. As we will see, all these works capture only first order network dynamics, ie., the mean firing rate. Therefore, inspired by recent evidence of experiments, we propose to develop correlated kinetic theory approach to capturing mean firing rate, cross-correlation, and autocorrelation. However, it is not an easy task. I will illustrate the principle, implementation, limitation, and challenge by a simple excitatory feed-forward neuronal network.