305 citations · 506 across the 14 of their papers we have counts for
6 papers · 1 filter
Adaptive conduction delays and phase locking in spiking Haken Lighthouse networks
Stephen Coombes, Rüdiger Thul, Stefan Ruschel +1
We develop a theory of phase-locked activity in delayed spiking networks using the Haken Lighthouse model as an analytically tractable event-based description of neural dynamics. F…
The role of node dynamics in shaping emergent functional connectivity patterns in the brain
Michael Forrester, Stephen Coombes, Jonathan J. Crofts +2
The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure--…
A next generation neural field model: The evolution of synchrony within patterns and waves
Áine Byrne, Daniele Avitabile, Stephen Coombes
Neural field models are commonly used to describe wave propagation and bump attractors at a tissue level in the brain. Although motivated by biology, these models are phenomenologi…
Next generation neural mass models
Stephen Coombes, Áine Byrne
Neural mass models have been actively used since the 1970s to model the coarse grained activity of large populations of neurons and synapses. They have proven especially useful in…
Phase-amplitude descriptions of neural oscillator models
Kyle C A Wedgwood, Kevin K Lin, Rüdiger Thul +1
Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing s…
Limitations of perturbative techniques in the analysis of rhythms and oscillations
Kevin K. Lin, Kyle C. A. Wedgwood, Stephen Coombes +1
Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in questio…