62 citations · 342 across the 18 of their papers we have counts for
18 papers
Cross-scale excitability in networks of synaptically-coupled quadratic integrate-and-fire neurons
Daniele Avitabile, Mathieu Desroches, G. Bard Ermentrout
From the action potentials of neurons and cardiac cells to the amplification of calcium signals in oocytes, excitability is a hallmark of many biological signalling processes. In r…
Projection methods for Neural Field equations
Daniele Avitabile
Neural field models are nonlinear integro-differential equations for the evolution of neuronal activity, and they are a prototypical large-scale, coarse-grained neuronal model in c…
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…
Canonical models for torus canards in elliptic bursters
Emre Baspinar, Daniele Avitabile, Mathieu Desroches
We revisit elliptic bursting dynamics from the viewpoint of torus canard solutions. We show that at the transition to and from elliptic burstings, classical or mixed-type torus can…
Numerical investigation of a neural field model including dendritic processing
Daniele Avitabile, Stephen Coombes, Pedro M. Lima
We consider a simple neural field model in which the state variable is dendritic voltage, and in which somas form a continuous one-dimensional layer. This neural field model with d…
Local theory for spatio-temporal canards and delayed bifurcations
Daniele Avitabile, Mathieu Desroches, Romain Veltz +1
We present a rigorous framework for the local analysis of canards and slow passages through bifurcations in a wide class of infinite-dimensional dynamical systems with time-scale s…