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The Hodgkin–Huxley Theory of Neuronal Excitation

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Computational Electrophysiology

Part of the book series: A First Course in “In Silico Medicine” ((FCISM,volume 2))

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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.

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Authors and Affiliations

  1. Graduate School of Engineering, Kyoto University, Kyoto-Daigaku Katsura, Nishikyo-ku, Kyoto, 615-8510, Japan

    Shinji Doi

  2. Faculty of Human Science, Kyoto Koka Women’s University, 38 Kadono-cho, Nishikyogoku, Ukyo-ku, Kyoto, 615-0882, Japan

    Junko Inoue

  3. Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka, 565-0871, Japan

    Zhenxing Pan

Authors
  1. Shinji Doi
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  2. Junko Inoue
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  3. Zhenxing Pan
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Doi, S., Inoue, J., Pan, Z. (2010). The Hodgkin–Huxley Theory of Neuronal Excitation. In: Computational Electrophysiology. A First Course in “In Silico Medicine”, vol 2. Springer, Tokyo. https://doi.org/10.1007/978-4-431-53862-2_2

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  • DOI: https://doi.org/10.1007/978-4-431-53862-2_2

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-53861-5

  • Online ISBN: 978-4-431-53862-2

  • eBook Packages: EngineeringEngineering (R0)

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