Synchronization of Hodgkin-Huxley-Type and Related Oscillators

  • Derek A. Linkens
Part of the Developments in Cardiovascular Medicine book series (DICM, volume 17)


It should be noted that the experimental investigation into oscillator synchronization described here has been motivated by an interest in pacing experiments on the gastro-intestinal tract. Of particular importance have been phenomena such as the ability to pace at frequencies below and above the natural frequency of the model, and phase-shift induced along a synchronized chain under external stimulation. It is hoped that the results obtained will prove useful in the closely-related field of cardiac synchronization.


Relaxation Model Phase Lead Pace Frequency Frequency Entrainment Synchronisation Band 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Akwari, O.E., Kelly, K.A., Steinbach, J.H. and Code, C.F.: Electric pacing of intact and transected canine small-intestine and its computer model. Am. J. Physiol., 229: 1188–1197, 1975.PubMedGoogle Scholar
  2. Alexander, J.W.: On the doubtful validity of van der Pol’s theory on relaxation oscillators. J. App. Sci. and Eng. Section A., 237–243, 1976.Google Scholar
  3. Brown, B.H., Duthie, H.L., Horn, A.R. and Smallwood, R.H.: A linked oscillator model of electrical activity of human small-intestine. Am. J. Physiol., 229: 384–388, 1975.PubMedGoogle Scholar
  4. Datardina, S.P. and Linkens, D.A.: Multimode oscillations in mutually coupled van der Pol type oscillators with fifth power non-linear characteristics. IEEE Trans. Cet. and Sys. CAS-25, 308–315, 1978.CrossRefGoogle Scholar
  5. Kelly, K.A. and Laforce, R.C.: Pacing the canine stomach with electric stimulation. Am. J. Physiol., 222: 588–594, 1972.PubMedGoogle Scholar
  6. Linkens, D.A.: The stability of entrainment conditions for RLC coupled van der Pol oscillators. Bull. Math. Biol., 39: 359–372, 1977.PubMedGoogle Scholar
  7. Linkens, D.A.: Canine colonic pacing and coupled oscillator synchronisation. J. Physiol. (London), 278, 26P, 1978.Google Scholar
  8. Linkens, D.A. and Datardina, S.P.: Frequency entrainment of coupled Hodgkin-Huxley type oscillators for modelling gastrointestinal electrical activity. IEEE Trans. Bio. Med. Eng., BME 24, 4: 362–365, 1977.CrossRefGoogle Scholar
  9. Linkens, D.A., Taylor, I. and Duthie, H.L.: Mathematical Modelling of the colorectal myoelectrical activity in humans. IEEE Trans. Bio. Med. Eng., BME 23, 101–110, 1976.CrossRefGoogle Scholar
  10. Patton, R.J. and Linkens, D.A.: Hodgkin-Huxley type electronic modelling of gastrointestinal electrical activity. Med. and Biol. Eng. and Comp., 16: 195–202, 1978.CrossRefGoogle Scholar
  11. Robertson-Dunn, B. and Linkens, D.A.: A mathematical model of the slow-wave electrical activity of the human small-intestine. Med. and Biol. Eng., 750–758, 1974.Google Scholar
  12. Sarna, S.K., Daniel, E.E. and Kingma, Y.J.: Simulation of slow-wave electrical activity of small-intestine. Am. J. Physiol., 221: 166–175, 1971.PubMedGoogle Scholar
  13. Sarna, S.K., Daniel, E.E. and Kingma, Y.J.: Simulation of the electrical control activity of the stomach by an array of relaxation oscillators. Am. J. Dig. Dis., 17: 299–310, 1972.PubMedCrossRefGoogle Scholar
  14. Sarna, S.K. and Daniel, E.E.: Electrical stimulation of gastric electrical control activity. Am. J. Physiol., 225: 125–131, 1973.PubMedGoogle Scholar
  15. Sarna, S.K. and Daniel, E.E.: Electrical stimulation of small intestinal electrical control activity. Gastroenterol., 69: 660–667, 1975.Google Scholar
  16. Shearin, N.L., Bowes, K.L., Kingma, Y.J. and Koles, Z.T.: Frequency analysis of electrical activity in dog colon. 6th Inst. Symp. on G.I. Motility, Edinburgh, 1977.Google Scholar

Copyright information

© Martinus Nijhoff Publishers, The Hague 1982

Authors and Affiliations

  • Derek A. Linkens

There are no affiliations available

Personalised recommendations