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 Jjournal_title
Biophysical journalauthors
Feroe JAdoi
10.1016/S0006-3495(78)85511-8subject
Has Abstractpub_date
1978-02-01 00:00:00pages
103-10issue
2eissn
0006-3495issn
1542-0086pii
S0006-3495(78)85511-8journal_volume
21pub_type
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