Temporal stability of solitary impulse solutions of a nerve equation.

Abstract:

:We study a differential equation that models nerve impulse transmission. The nonlinearity is simplified to be piecewise linear in order to allow explicit solution. In general, two solitary impulse solutions are exhibited. The temporal stability of these solutions is analyzed by a technique that identifies the number of unstable modes. These results extend the results of Rinzel and Keller (1973, Biophys. J. 13:1313) by showing that the slower unstable solution has only one unstable mode, and that the fast solution, as conjectured, has no unstable modes and is therefore stable.

journal_name

Biophys J

journal_title

Biophysical journal

authors

Feroe JA

doi

10.1016/S0006-3495(78)85511-8

subject

Has Abstract

pub_date

1978-02-01 00:00:00

pages

103-10

issue

2

eissn

0006-3495

issn

1542-0086

pii

S0006-3495(78)85511-8

journal_volume

21

pub_type

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