%0 Unpublished Work %A Coombes, S. %A Bressloff, P.C. %D 2005 %T Saltatory waves in the spike-diffuse-spike model of active dendritic spines %U https://repository.lboro.ac.uk/articles/preprint/Saltatory_waves_in_the_spike-diffuse-spike_model_of_active_dendritic_spines/9380195 %2 https://repository.lboro.ac.uk/ndownloader/files/16991723 %K untagged %K Mathematical Sciences not elsewhere classified %X In this Letter we present the explicit construction of a saltatory traveling pulse of non-constant profile in an idealized model of dendritic tissue. Excitable dendritic spine clusters, modeled with integrate-and-fire (IF) units, are connected to a passive dendritic cable at a discrete set of points. The saltatory nature of the wave is directly attributed to the breaking of translation symmetry in the cable. The conditions for propagation failure are presented as a function of cluster separation and IF threshold. %I Loughborough University