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The Hodgkin–Huxley Theory of Neuronal Excitation

  • Shinji Doi
  • Junko Inoue
  • Zhenxing Pan
Part of the A First Course in “In Silico Medicine” book series (FCISM, volume 2)

Abstract

Hodgkin and Huxley (1952) proposed the famous Hodgkin–Huxley (hereinafter referred to as HH) equations which quantitatively describe the generation of action potential of squid giant axon, although there are still arguments against it (Connor et al. 1977; Strassberg and DeFelice 1993; Rush and Rinzel 1995; Clay 1998). The HH equations are important not only in that it is one of the most successful mathematical model in quantitatively describing biological phenomena but also in that the method (the HH formalism or the HH theory) used in deriving the model of a squid is directly applicable to many kinds of neurons and other excitable cells. The equations derived following this HH formalism are called the HH-type equations.

Keywords

Periodic Solution Hopf Bifurcation Phase Plane Repetitive Firing Squid Giant Axon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2010

Authors and Affiliations

  • Shinji Doi
    • 1
  • Junko Inoue
    • 2
  • Zhenxing Pan
    • 3
  1. 1.Graduate School of EngineeringKyoto UniversityKyoto-Daigaku Katsura, Nishikyo-kuJapan
  2. 2.Faculty of Human ScienceKyoto Koka Women’s UniversityJapan
  3. 3.Graduate School of EngineeringOsaka UniversityJapan

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