59 citations · 222 across the 21 of their papers we have counts for
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math.DS2021
Bursting in a next generation neural mass model with synaptic dynamics: a slow-fast approach
Halgurd Taher, Daniele Avitabile, Mathieu Desroches
We report a detailed analysis on the emergence of bursting in a recently developed neural mass model that takes short-term synaptic plasticity into account. The one being used here…
math.DS2021★ 15 cited
Spike-adding and reset-induced canard cycles in adaptive integrate and fire models
Mathieu Desroches, Piotr Kowalczyk, Serafim Rodrigues
We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation variable on top of membrane potential, and…