Pattern formation in neural fields subject to propagation delay

Neural activity can be measured by different experimental techniques, as single cell measurements on a microscopic spatial scale (~0.05-0.2 mm) or local field potentials at a mesoscopic spatial scale of some millimeters. As these different spatial scales exhibit different neural mechanisms, most neural models focus to a single scale. The presented talk discusses the stability of mesoscopic activity in synaptically coupled neural fields subject to propagation delays. Since concrete synaptic connectivities are unknown in most neural areas, the work derives stability conditions for arbitrary homogeneous connectivities. The application to gamma-distributed connectivity kernels reveal a novel condition for stationary Turing instabilities.