Phys. Rev. E 72, 011905 (2005) - Asymptotic construction of pulses in the discrete Hodgkin-Huxley model for myelinated nerves

Asymptotic construction of pulses in the discrete Hodgkin-Huxley model for myelinated nerves

A. Carpio

Phys. Rev. E 72, 011905 – Published 11 July 2005

Abstract

A quantitative description of pulses and wave trains in the spatially discrete Hodgkin-Huxley model for myelinated nerves is given. Predictions of the shape and speed of the waves and the thresholds for propagation failure are obtained. Our asymptotic predictions agree quite well with numerical solutions of the model and describe wave patterns generated by repeated firing at a boundary.

Received 9 June 2004

DOI:https://doi.org/10.1103/PhysRevE.72.011905

©2005 American Physical Society

Authors & Affiliations

Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain

^*Electronic address: ana̱carpio@mat.ucm.es.

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Issue

Vol. 72, Iss. 1 — July 2005

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