Open AccessOn subthreshold solutions of the Hodgkin-Huxley equations.
Author(s) -
Lawrence Sirovich,
Bruce W. Knight
Publication year - 1977
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.74.12.5199
Subject(s) - subthreshold conduction , scaling , computation , mathematics , hodgkin–huxley model , asymptotic analysis , mathematical analysis , scaling law , physics , quantum mechanics , geometry , transistor , voltage , algorithm , neuroscience , biology
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.