RT Journal Article T1 Propagation Failure Along Myelinated Nerves A1 Carpio, Ana A1 Peral, I. AB Propagation 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. PB Springer SN 0938-8974 YR 2011 FD 2011 LK https://hdl.handle.net/20.500.14352/42107 UL https://hdl.handle.net/20.500.14352/42107 LA eng NO Anderson, A.R.A., Sleeman, B.D.: Wave front propagation and its failure in coupled systems of discretebistable cells modelled by FitzHugh-Nagumo dynamics. Int. J. Bifurc. Chaos 5, 63–74 (1995)Beeler, G.W., Reuter, H.: Reconstruction of the action potential of ventricular myocardial fibres. J. Physiol.268, 177–210 (1977)Bell, J., Costner, C.: Threshold behavior and propagation for nonlinear differential-difference systemsmotivated by modeling myelinated axons. Q. Appl. Math. 42, 1–13 (1984)Binczak, S., Eilbeck, J.C., Scott, A.C.: Ephaptic coupling of myelinated nerve fibers. Physica D 148, 159–174 (2001)Carpio, A.: Asymptotic construction of pulses in the Hodgkin–Huxley model for myelinated nerves. Phys.Rev. E 72, 011905 (2005a)Carpio, A.: Wave trains, self-oscillations and synchronization in discrete media. Physica D 207, 117–136(2005b)Carpio, A., Bonilla, L.L.: Wave front depinning transition in discrete one dimensional reaction-diffusionsystems. Phys. Rev. Lett. 86, 6034–6037 (2001)Carpio, A., Bonilla, L.L.: Depinning transitions in discrete reaction-diffusion equations. SIAM J. Appl.Math. 63, 1056–1082 (2003a) NO Spanish Ministry of Research NO Autonomous Region of Madrid DS Docta Complutense RD 2 may 2024