52 citations · 55 across the 4 of their papers we have counts for
5 papers
Mean-field approximation for networks with synchrony-driven adaptive coupling
Niamh Fennelly, Alannah Neff, Renaud Lambiotte +2
Synaptic plasticity is a key component of neuronal dynamics, describing the process by which the connections between neurons change in response to experiences. In this study, we ex…
Phase transformation and synchrony for a network of coupled Izhikevich neurons
Áine Byrne
A number of recent articles have employed the Lorentz ansatz to reduce a network of Izhikevich neurons to a tractable mean-field description. In this letter, we construct an equiva…
Order-indeterminant event-based maps for learning a beat
Áine Byrne, John Rinzel, Amitabha Bose
The process by which humans synchronize to a musical beat is believed to occur through error-correction where an individual's estimates of the period and phase of the beat time are…
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…