Abstract
Subthreshold solutions of the Hodgkin-Huxley equations are considered here by means of the linearized forms of these equations. An asymptotic theory is obtained, based on dimensional analysis and scaling arguments. Explicit expressions for the crest speed are obtained and are shown to be in good agreement with experiment, with computation, and with an exact asymptotic value which is also obtained here.
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Selected References
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- Cooley J. W., Dodge F. A., Jr Digital computer solutions for excitation and propagation of the nerve impulse. Biophys J. 1966 Sep;6(5):583–599. doi: 10.1016/S0006-3495(66)86679-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
- HODGKIN A. L., HUXLEY A. F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol. 1952 Aug;117(4):500–544. doi: 10.1113/jphysiol.1952.sp004764. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Mauro A., Freeman A. R., Cooley J. W., Cass A. Propagated subthreshold oscillatory response and classical electrotonic response of squid giant axon. Biophysik. 1972;8(2):118–132. doi: 10.1007/BF01188562. [DOI] [PubMed] [Google Scholar]
- Sabah N. H., Leibovic K. N. Subthreshold oscillatory responses of the Hodgkin-Huxley cable model for the squid giant axon. Biophys J. 1969 Oct;9(10):1206–1222. doi: 10.1016/S0006-3495(69)86446-5. [DOI] [PMC free article] [PubMed] [Google Scholar]