Skip to main content
Log in

Selective activation of small-diameter motor fibres using exponentially rising waveforms: A theoretical study

  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

The present study investigated the possibility of using exponentially rising waveforms for selectively activating small motor fibres in a nerve bundle enclosed by a cuff electrode. Exponentially rising waveforms were studied using models of motor fibres and a volume conductor model. With an exponentially rising waveform (duration: 2 ms, time constant: 1 ms) large (15.5 μm) and small (8 μm) nerve fibres located at the edge of the nerve bundle had a current threshold of 125 μA and 53 μA, respectively. These reversals in the recruitment order of large and small nerve fibres located at the edge of the nerve bundle were observed for exponentially rising waveforms of 2, 4, and 6 ms in duration with time constants of 0.9, 0.6 and 0.6 ms, respectively. Reversals of the same nerve fibres located at the centre of the nerve bundle were observed for exponentially rising waveforms of 4 and 6 ms in duration, with a time constant of 0.6 ms for both waveforms. The underlying mechanism for selective activation of small nerve fibres with exponentially rising waveforms was found to be a combination of a decrease in the size of the local excitations in the centre node due to sodium channel inactivation and blocking of action potentials in large nerve fibres due to their larger difference in the membrane potential of adjacent nodes. The exponentially rising waveforms were compared with both rectangular prepulses and ramp prepulses. The rectangular prepulses were found to be unable selectively to activate small nerve fibres with the volume conductor model and criteria used in the present study, whereas the ramp prepulses performed as well as the exponentially rising waveforms. In conclusion, a novel stimulation paradigm has been proposed that may provide smooth, gradual control of muscle force with minimum fatigue.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Accornero, N., Bini, G., Lenzi, G.L., andManfredi, M. (1977): ‘Selective activation of peripheral nerve fibre groups of different diameter by triangular shaped stimulus pulses’,J. Physiol.,273, pp. 539–560

    Google Scholar 

  • Baratta, R., Ichie, M., Hwang, S.K., andSolomonow, M. (1989): ‘Orderly stimulation of skeletal muscle motor units with tripolar nerve cuff electrode’,IEEE Trans. Biomed. Eng.,36, pp. 836–843

    Article  Google Scholar 

  • Blair, E., andErlanger, J. (1933): ‘A comparison of the characteristics of axons through their individual electrical responces’,Am. J. Physiol.,106, pp. 524–564

    Google Scholar 

  • Chiu, S. Y., Ritchie, J. M., Rogart, R. B., andStagg, D. (1979): ‘A quantitative description of membrane currents in rabbit myelinated nerve’,J. Physiol.,292, pp. 149–166

    Google Scholar 

  • Deurloo, K. E., Holsheimer, J., andBergveld, P. (2001): ‘The effect of subthreshold prepulses on the recruitment order in a nerve trunk analyzed in a simple and a realistic volume conductor model’,Biol. Cybern.,85, pp. 281–291

    Article  Google Scholar 

  • Dumitru, D. (1994): ‘Electrodiagnostic medicine’, (Yeong Mun Publishing Company, 1994)

  • Fang, Z. P., andMortimer, J. T. (1991a): ‘A method to effect physiological recruitment order in electrically activated muscle’,IEEE Trans. Biomed. Eng.,38, pp. 175–179

    Google Scholar 

  • Fang, Z. P., andMortimer, J. T. (1991b): ‘Selective activation of small motor axons by quasi-trapezoidal current pulses’,IEEE Trans. Biomed. Eng.,38, pp. 168–174

    Google Scholar 

  • Frankenhauser, B., andHuxley, A. F. (1964): ‘The action potential in the myelinated nerve fibre of xenopus laevis as computed on the basis of voltage clamp data’,J. Physiol.,171, pp. 302–315

    Google Scholar 

  • Grill, W. M., andMortimer, J. T. (1997): ‘Inversion of the current-distance relationship by transient depolarization’,IEEE Trans. Biomed. Eng.,44, pp. 1–9

    Article  Google Scholar 

  • Henneman, E. (1981): ‘Recruitment of motorneurons: the size principle’,Prog. Clin. Neurophysiol.,9, pp. 26–60

    Google Scholar 

  • Kennings, K., Andersen, O. K., Struijk, J. J., andArendt-Nielsen, L. (2002): ‘Modeling selective activation of thin nerve fibers using exponentially rising waveforms’. 7th Ann. Conf. International Functional Electrical Stimulation Society

  • Kugelberg, E., andSkoglund, C. R. (1946): ‘Natural and artificial activation of motor units — A comparison’,J. Neurophysiol.,9, pp. 399–412

    Google Scholar 

  • McNeal, D. R. (1976): ‘Analysis of a model for excitation of myelinated nerve’,IEEE Trans. Biomed. Eng.,23, pp. 329–337

    Google Scholar 

  • Nilsson, I., andBerthold, C. H. (1988): ‘Axon classes and internodal growth in the ventral spinal root L7 of adult and developing cats’,J. Anat.,156, pp. 71–96

    Google Scholar 

  • Rijkhoff, N. J., Holsheimer, J., Koldewijn, E. L., Struijk, J. J., van Kerrebroeck, P. E., Debruyne, F. M., andWijkstra, H. (1994): ‘Selective stimulation of sacral nerve roots for bladder control: a study by computer modeling’,IEEE Trans. Biomed. Eng.,41, pp. 413–424

    Article  Google Scholar 

  • Rijkhoff, N. J., Holsheimer, J., Debruyne, F. M., andWijkstra, H. (1995): ‘Modelling selective activation of small myelinated nerve fibres using a monopolar point electrode’,Med. Biol. Eng. Comput.,33, pp. 762–768

    Google Scholar 

  • Sassen, M., andZimmermann, M. (1973): ‘Differential blocking of myelinated nerve fibres by transient depolarization’,Pflugers Arch.,341, pp. 179–195

    Article  Google Scholar 

  • Solomonow, M. (1984): ‘External control of the neuromuscular system’,IEEE Trans. Biomed. Eng.,31, pp. 752–763

    Google Scholar 

  • Sweeney, J. D., Mortimer, J. T., andDurand, D. (1987): ‘Modeling of mammalian myelinated nerve for functional neuromuscular stimulation’, IEEE/9th Ann. Conf. Eng. Med. Biol. Soc., Boston, pp. 1577–1578

  • Tanner, J. A. (1962): ‘Reversible blocking of nerve conduction by alternating-current excitation’,Nature,195, pp. 712–713

    Google Scholar 

  • Trenchard, D., andWiddicombe, J. G. (1973): ‘Assessment of differential block of conduction by direct current applied to the cervical vagus nerve’,Acta Neurobiol. Exp. (Warsz.),33, pp. 89–96

    Google Scholar 

  • Vuckovic, A., Rijkhoff, N. J., andStruijk, J. J. (2004): ‘Different pulse shapes to obtain small fiber selective activation by anodal blocking — a simulation study’,IEEE Trans. Biomed. Eng.,51, pp. 698–706

    Article  Google Scholar 

  • Wesselink, W. A., Holsheimer, J., andBoom, H. B. (1999): ‘A model of the electrical behaviour of myelinated sensory nerve fibres based on human data’,Med. Biol. Eng. Comput.,37, pp. 228–235

    Google Scholar 

  • Zimmermann, M. (1968): ‘Selective activation of C-fibres’,Pflug. Arch. Gesamte Physiol. Menschen Tiere,301, pp. 329–333

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Hennings.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hennings, K., Arendt-Nielsen, L., Christensen, S.S. et al. Selective activation of small-diameter motor fibres using exponentially rising waveforms: A theoretical study. Med. Biol. Eng. Comput. 43, 493–500 (2005). https://doi.org/10.1007/BF02344731

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02344731

Keywords

Navigation