Carpio Rodríguez, Ana MaríaPeral, I.2023-06-202023-06-202011Carpio Rodríguez, A. M., y Peral, I. «Propagation Failure Along Myelinated Nerves». Journal of Nonlinear Science, vol. 21, n.o 4, agosto de 2011, pp. 499-520. DOI.org (Crossref), https://doi.org/10.1007/s00332-010-9090-x.0938-897410.1007/s00332-010-9090-xhttps://hdl.handle.net/20.500.14352/42107Propagation of traveling pulses in the myelinated Hodgkin-Huxley model is studied. The nerve impulse is a traveling wave with two components. At the Ranvier nodes, it behaves as a discrete traveling pulse. Wave motion through the internodal regions is then driven by this traveling pulse. We give analytical characterizations of the parameter ranges for which nerve impulses fail to propagate by exploiting time scale separation and the active node approximation, which reduces the dynamics of infinite fibers to the evolution of a few nodes. Simple recipes to predict the speed of the impulses and the widths of their peaks are also given. Predictions are in good agreement with the information provided by numerical simulations.engjournal articlehttps://doi.org/10.1007/s00332-010-9090-xhttp://www.springerlink.com/content/r54558750281n137/fulltext.pdfrestricted access51-76517.9Travelling wavesPropagation failureMyelinated nervesReaction–diffusion systemsBiomatemáticasEcuaciones diferenciales2404 Biomatemáticas1202.07 Ecuaciones en Diferencias