Biblioteca de la Universidad Complutense de Madrid

Propagation Failure Along Myelinated Nerves

Impacto

Carpio, Ana y Peral, I. (2011) Propagation Failure Along Myelinated Nerves. Journal of nonlinear science, 21 (4). pp. 499-520. ISSN 0938-8974

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 2020.

1MB

URL Oficial: http://www.springerlink.com/content/r54558750281n137/fulltext.pdf



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Travelling waves · Propagation failure · Myelinated nerves · Reaction–diffusion systems
Materias:Ciencias Biomédicas > Biología > Biomatemáticas
Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:14867
Referencias:

Anderson, A.R.A., Sleeman, B.D.: Wave front propagation and its failure in coupled systems of discrete

bistable 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 systems

motivated 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-diffusion

systems. 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)

Depositado:19 Abr 2012 08:13
Última Modificación:28 Oct 2016 08:29

Sólo personal del repositorio: página de control del artículo