2134/1736 P.C. Bressloff P.C. Bressloff Synaptically generated wave propagation in excitable neural media Loughborough University 2006 untagged Mathematical Sciences not elsewhere classified 2006-05-12 10:38:34 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Synaptically_generated_wave_propagation_in_excitable_neural_media/9386453 We study the propagation of solitary waves in a one-dimensional network of excitable integrate-and-fire neurons with axo-dendritic synaptic coupling. We show that for small axonal delays there exists a stable solitary wave, and derive a power scaling law for the velocity as a function of the coupling. In the case of large axonal delays and fast synapses we establish that the solitary wave can destabilize via a Hopf bifurcation in the firing times.