Biophysical Journal 16: 227-244 (1976)
© 1976 the Biophysical Society

This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by Plant, R E Articles by Kim, M Search for Related Content PubMed PubMed Citation Articles by Plant, R E Articles by Kim, M

Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations.

ABSTRACT

Modifications based on experimental results reported in the literature are made to the Hodgkin-Huxley equations to describe the electrophysiological behavior of the Aplysia abdominal ganglion R15 cell. The system is then further modified to describe the effects with the application of the drug tetrodotoxin (TTX) to the cells' bathing medium. Methods of the qualitative theory of differential equations are used to determine the conditions necessary for such a system of equations to have an oscillatory solution. A model satisfying these conditions is shown to preduct many experimental observations of R15 cell behavior. Numerical solutions are obtained for differential equations satisfying the conditions of the model. These solutions are shown to have a form similar to that of the bursting which is characteristic of this cell, and to preduct many results of experiments conducted on this cell. The physiological implications of the model are discussed.

This article has been cited by other articles:

				G LeMasson, E Marder, and L. Abbott Activity-dependent regulation of conductances in model neurons Science, March 26, 1993; 259(5103): 1915 - 1917. [Abstract] [PDF]