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Spike initiation and propagation on axons with slow inward currents

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Abstract

We investigate spike initiation and propagation in a model axon that has a slow regenerative conductance as well as the usual Hodgkin-Huxley type sodium and potassium conductances. We study the role of slow conductance in producing repetitive firing, compute the dispersion relation for an axon with an additional slow conductance, and show that under appropriate conditions such an axon can produce a traveling zone of secondary spike initiation. This study illustrates some of the complex dynamics shown by excitable membranes with fast and slow conductances.

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References

  • Arshavskii YI, Berkenblit MB, Dunin-Berkovskii VL (1965) Propagation of pulses in a ring of excitable tissues. Biophysics 10:1160–1166

    Google Scholar 

  • Baxter DA, Byrne JH (1991) Ionic conductance mechanisms contributing to the electrophysiological properties of neurons. Curr Opin Neurobiol 1:105–112

    Google Scholar 

  • Bullock TH (1951) Facilitation of conduction rate in nerve fibres. J Physiol (London) 114:89–97

    Google Scholar 

  • Carpenter GA (1978) A geometric approach to singular perturbation problems with application to nerve impulse equations. J Diff Eqs 23:335–367

    Google Scholar 

  • Connor JA, Walter D, McKown R (1977) Neural repetitive firing. Modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons. Biophys J 18:81–102

    Google Scholar 

  • Harris-Warrick RM, Marder E (1991) Modulation of neural networks for behavior. Ann Rev Neurosci 14:39–57

    Google Scholar 

  • Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol (London) 117:500–544

    Google Scholar 

  • Marder E (1991) Plateau in time. Curr Biol 1:326–327

    Google Scholar 

  • Marder E (1992) Modulating membrane properties in neurons: role in information processing. In: Exploring brain function: models in neurosciences. John Wiley and Sons, Chichester (in press)

    Google Scholar 

  • Marder E, Weimann JM, Kepler TB, Abbott LF (1992) Computational implications of serotonin-sensitive region of axonal membrane on a dual function motor neuron. In: Eeckman F (eds) Analysis and modeling of neural systems II. Kluwer Academic Press, Norwell (in press)

    Google Scholar 

  • Meyrand P, Weimann JM, Marder E (1992) Multiple axonal spike initiation zones in a motor neuron: serotonin activation. J Neurosci 12:2803–2812

    Google Scholar 

  • Miller RN, Rinzel J (1981) The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model. Biophys J 34:227–259

    Google Scholar 

  • Parnas I, Hochstein S, Parnas H (1976) Theoretical analysis of parameters leading to frequency modulation along an inhomogeneous axon. J Neurophysiol 39:909–923

    Google Scholar 

  • Ramon F, Vergara J, Moore JW (1973) Changes in speed of propagation of action potentials in squid giant axons: experimental and computed results. Biophys J 13:13

    Google Scholar 

  • Ramon F, Joyner RW, Moore JW (1975) Propagation of action potentials in inhomogeneous axon regions. Fed Proc 34:1357–1363

    Google Scholar 

  • Rinzel J (1990) Mechanisms for nonuniform propagation along excitable cables. Ann NY Acad Sci 591:51–61

    Google Scholar 

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Kepler, T.B., Marder, E. Spike initiation and propagation on axons with slow inward currents. Biol. Cybern. 68, 209–214 (1993). https://doi.org/10.1007/BF00224853

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  • DOI: https://doi.org/10.1007/BF00224853

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