Graph neural fields: A framework for spatiotemporal dynamical models on the human connectome
Fig 1
Effects of distance-weighting on graph neural field dynamics.
(A) The harmonic and (B) temporal power spectra of Excitatory activity equilibrium fluctuations in the one-dimensional graph for vertex spacing h = 10−4 m. A larger vertex spacing, for example h = 2 ⋅ 10−4 m, renders the steady state unstable. The dashed black lines correspond to the theoretical prediction and the red lines are obtained through numerical simulations. (C) The Excitatory activity functional connectivity obtained by analytic predictions and numerical simulations.