University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Nonlinear integrate and fire neuron models, part II: existence, uniqueness, and asymptotics

Nonlinear integrate and fire neuron models, part II: existence, uniqueness, and asymptotics

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Partial Differential Equations in Kinetic Theories

We continue the study of Nonlinear Noisy Leaky Integrate and Fire models for neurons. In particular, we show global existence and uniqueness of the solution for the inhibitory case, together with some comments on asymptotic decay. The main idea is to reduce the equation to a Stefan-like problem with a moving free boundary and non-standard right hand side. This is joint work with J. Carrillo, M. Gualdani and M. Schonbek.

This talk is part of the Isaac Newton Institute Seminar Series series.

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