40 citations · 62 across the 3 of their papers we have counts for
3 papers
q-bio.NC2021★ 1 cited
Mean-field approximations of networks of spiking neurons with short-term synaptic plasticity
Richard Gast, Thomas R. Knösche, Helmut Schmidt
Low-dimensional descriptions of neural network dynamics are an effective tool for bridging different scales of organization of brain structure and function. Recent advances in deri…
nlin.PS2019★ 40 cited
Bumps and Oscillons in Networks of Spiking Neurons
Helmut Schmidt, Daniele Avitabile
We study localized patterns in an exact mean-field description of a spatially-extended network of quadratic integrate-and-fire (QIF) neurons. We investigate conditions for the exis…
nlin.PS2014★ 21 cited
Snakes and ladders in an inhomogeneous neural field model
Daniele Avitabile, Helmut Schmidt
Continuous neural field models with inhomogeneous synaptic connectivities are known to support traveling fronts as well as stable bumps of localized activity. We analyze stationary…