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Modelled temperature-dependent excitability behaviour of a single ranvier node for a human peripheral sensory nerve fibre

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Abstract

The objective of this study was to determine whether the Hodgkin–Huxley model for unmyelinated nerve fibres could be modified to predict excitability behaviour at Ranvier nodes. Only the model parameters were modified to those of human, with the equations left unaltered. A model of a single Ranvier node has been developed as part of a larger model to describe excitation behaviour in a generalised human peripheral sensory nerve fibre. Parameter values describing the ionic and leakage conductances, corresponding equilibrium potentials, resting membrane potential and membrane capacitance of the original Hodgkin–Huxley model were modified to reflect the corresponding parameter values for human. Parameter temperature dependence was included. The fast activating potassium current kinetics were slowed down to represent those of a slow activating and deactivating potassium current, which do not inactivate. All calculations were performed in MATLABTM. Action potential shape and amplitude were satisfactorily predicted at 20, 25 and 37°C, and were not influenced by activation or deactivation of the slow potassium current. The calculated chronaxie time constant was 65.5 μs at 37°C. However, chronaxie times were overestimated at temperatures lower than body temperature.

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Abbreviations

HH model:

Hodgkin–Huxley model

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Authors and Affiliations

  1. Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Lynnwood Road, Pretoria, 0002, South Africa

    Jacoba E. Smit, Tania Hanekom & Johan J. Hanekom

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  1. Jacoba E. Smit
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  2. Tania Hanekom
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  3. Johan J. Hanekom
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Correspondence to Tania Hanekom.

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Smit, J.E., Hanekom, T. & Hanekom, J.J. Modelled temperature-dependent excitability behaviour of a single ranvier node for a human peripheral sensory nerve fibre. Biol Cybern 100, 49–58 (2009). https://doi.org/10.1007/s00422-008-0280-7

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  • DOI: https://doi.org/10.1007/s00422-008-0280-7

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