A quantitative approximation scheme for the traveling wave solutions in the Hodgkin-Huxley model

Authors

C. B. Muratov, New Jersey Institute of Technology

Document Type

Article

Publication Date

1-1-2000

Abstract

We introduce an approximation scheme for the Hodgkin-Huxley model of nerve conductance that allows calculation of both the speed and shape of the traveling pulses, in quantitative agreement with the solutions of the model. We demonstrate that the reduced problem for the front of the traveling pulse admits a unique solution. We obtain an explicit analytical expression for the speed of the pulses that is valid with good accuracy in a wide range of the parameters.

Identifier

0033638855 (Scopus)

Publication Title

Biophysical Journal

External Full Text Location

https://doi.org/10.1016/S0006-3495(00)76526-X

ISSN

00063495

PubMed ID

11106597

First Page

2893

Last Page

2901

Issue

6

Volume

79

Recommended Citation

Muratov, C. B., "A quantitative approximation scheme for the traveling wave solutions in the Hodgkin-Huxley model" (2000). Faculty Publications. 15658.
https://digitalcommons.njit.edu/fac_pubs/15658