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Title:聽Kinetic Theory for High-Dimensional Models of Interacting Neurons.

Abstract:聽I study high-dimensional interacting particle models inspired by Neuroscience. Some of the specific features include (i) a disordered and sparse connectivity structure, (ii) delays in the interactions, and (iii) very strong interactions that can be both excitatory and inhibitory. I determine the large N kinetic limit for these systems, and I conduct a bifurcation analysis to determine the existence of patterns, waves and limit cycle oscillations in the kinetic limit.

This work involves contributions from Daniele Avitabile and Pedro Vilanova.

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