17 citations · 34 across the 4 of their papers we have counts for
6 papers
Stochastic facilitation in heteroclinic communication channels
Giovanni Sirio Carmantini, Fabio Schittler Neves, Marc Timme +1
Biological neural systems encode and transmit information as patterns of activity tracing complex trajectories in high-dimensional state-spaces, inspiring alternative paradigms of…
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…
Why we should use Topological Data Analysis in Ageing: towards defining the "Topological shape of ageing"
Tamàs Fülöp, Mathieu Desroches, Fernando Antônio Nóbrega Santos +1
Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and d…
Towards a new classification of bursting patterns: review & extensions
Mathieu Desroches, John Rinzel, Serafim Rodrigues
The mathematical classification of complex bursting oscillations in multiscale excitable systems, seen for example in physics and neuroscience, has been the subject of active enqui…
Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems
Mathieu Desroches, Antoni Guillamon, Enrique Ponce +3
Canard-induced phenomena have been extensively studied in the last three decades, both from the mathematical and from the application viewpoints. Canards in slow-fast systems with…
A biophysical observation model for field potentials of networks of leaky integrate-and-fire neurons
Peter beim Graben, Serafim Rodrigues
We present a biophysical approach for the coupling of neural network activity as resulting from proper dipole currents of cortical pyramidal neurons to the electric field in extrac…