Figure 1
From: The role of dimensionality in neuronal network dynamics
3D network model.
(a) Simulation of a 3D neuronal network which is modular and has short range connections and some long range connections (small-word network). The neurons are distributed along a fractal tree and primarily connected by short-range interactions; long-range interactions constitute a small proportion of the connections. The Kuramoto model of this network yields three dynamical regimes as a function of the strength of the coupling, K, between the oscillators. Large values of K result in a fully synchronized phase, whereas low values of K do not produce synchronization. Intermediate values of K produce a phase of frustrated synchronization. In panel (b), we plotted the order parameter, R, for the synchronization as a function of time, t, for different values of the coupling, K. The parameter R ranges from one (totally synchronized state) to zero (absence of synchronization). As a function of K, the plots indicate three different synchronization phases for the simulated 3D network.
