April 1, 2018 at 9:45 pm

Math-Biology Seminar | Comparative Study of Dynamics in Different Classes of Neuronal Network Models, April 10

Rabi K.C., portrait

Rabi K.C.

The Mathematical Biology and Dynamical Systems Seminar series presents graduate student Rabi K.C. discussing “Comparative study of dynamics in different classes of neuronal network models” on Tuesday, April 10, from 3:05 to 4 p.m. in Morton 326.

Abstract: We study classes of discrete dynamical system models of neuronal networks. These models have been  developed in the udy of the phenomenon of so-called dynamic clustering. The connectivities in a class of these models are specfied by digraphs that are randomly drawn from a distribution. To analyze how dynamics of the models are influenced by the network architecture, we compare dynamics of these models whose connectivities are drawn from di fferent distributions. We have generalized the discrete models that were extensively investigated by Ahn, Just and Terman by relaxing the assumption that all arcs are equally likely. In this talk, we will present some interesting numerical observations and rigorous mathematical results obtained for our models.

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