51 citations · 73 across the 8 of their papers we have counts for
3 papers · 1 filter
Eigenvalue spectral properties of sparse random matrices obeying Dale's law
Isabelle D Harris, Hamish Meffin, Anthony N Burkitt +1
This paper examines the relationship between sparse random network architectures and neural network stability by examining the eigenvalue spectral distribution. Specifically, we ge…
Neural Field Models: A mathematical overview and unifying framework
Blake J. Cook, Andre D. H. Peterson, Wessel Woldman +1
Mathematical modelling of the macroscopic electrical activity of the brain is highly non-trivial and requires a detailed understanding of not only the associated mathematical techn…
A homotopic mapping between current-based and conductance-based synapses in a mesoscopic neural model of epilepsy
Andre D. H. Peterson, Hamish Meffin, Mark J. Cook +3
Changes in brain states, as found in many neurological diseases such as epilepsy, are often described as bifurcations in mesoscopic neural models. Nearly all of these models rely o…