This is a preview of subscription content, log in via an institution to check access.
References
Carpenter, G., Travelling wave solutions of nerve impulse equations. Ph. D. Thesis, University of Wisconsin, 1974.
Conley, C.C., On travelling wave solutions of nonlinear diffusion equations. To appear in the Proceedings of the Tulane Conference on Partial Differential Equations, 1975.
Fitzhugh, R., Thresholds and plateaus in the Hodgkin-Huxley nerve equations. J. Gen. Physiol.43, 867–896 (1960).
Hastings, S., The existence of homoclinic orbits for Nagumo's equation. To appear, Quart. J. Math.
Hastings, S., Some mathematical problems from neurobiology. To appear, Amer. Math. Monthly.
Hodgkin, A.L., & A.F.Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol.117, 500–544 (1952).
Noble, D., The relation of Rushton's ‘liminal length’ for excitation to the resting and active conductances of excitable cells. J. Physiol.226, 573–591 (1972).
Author information
Authors and Affiliations
Additional information
Communicated by J.Serrin
Rights and permissions
About this article
Cite this article
Hastings, S.P. On travelling wave solutions of the Hodgkin-Huxley equations. Arch. Rational Mech. Anal. 60, 229–257 (1976). https://doi.org/10.1007/BF01789258
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01789258