title: Effects of nonlocal feedback on traveling fronts in neural fields subject to transmission delay.
abstract: The work introduces a model for reciprocal connections in neural fields by a nonlocal feedback mechanism, while the neural field exhibits nonlocal interactions and intra-areal transmission delays. We study the speed of traveling fronts with respect to the transmission delay, the spatial feedback range, and the feedback delay for general axonal and feedback connectivity kernels. In addition, we find a novel shape of traveling fronts due to the applied feedback and criteria for its occurrence are derived.
authors.affiliation: Weierstrass-Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117 Berlin, Germany. hutt@wias-berlin.de
authors.forename: A
authors.initials: A
authors.lastname: Hutt
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009431:Neural Conduction / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology*