Nonlinear Dynamics in a Compound Central Pattern Generator

  • Masakazu Matsugu
  • Chi-Sang Poon

Abstract

We studied the nonlinear dynamical behavior of several compound central pattern generators in the form of a half-center network oscillator coupled with an endogenous pacemaker, as exemplified by the respiratory motor generator in the mammalian neonate. Using pacemaker inputs with varying amplitudes, frequencies and phases, we demonstrated several pathologic oscillatory patterns including recurrent apnea (intermittent cessation of oscillation), quasi-periodic fluctuations and chaos. The apneic pattern can be attributed to decreased excitation (e.g., decreased overall chemoreceptor activity), unbalanced excitation (e.g., unbalanced tonic inputs to inspiratory and expiratory related neurons), or disparity between the intrinsic oscillatory frequency and pacemaker frequency. Results may have important implications in the pathogenesis of abnormal respiratory pattern associated with sudden infant death syndrome.

Keywords

Respiratory Rhythm Expiratory Neuron Oscillatory Input Spontaneous Frequency Chemoreceptor Activity 
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.

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References

  1. [1]
    Arata, A., Onimaru, H., Homma, I. (1990) Respiration-related neurons in the ventral medulla of newborn rats in vitro. Brain Res. Bull. 24: 599–604.Google Scholar
  2. [2]
    Calabrese, R.L. (1995) Half-center oscillators underlying rhythmic movements. In: Arbib. M.A. ed. The Handbook of Brain Theory and Neural Networks. MIT Press, Cambridge, MA. pp. 444–447.Google Scholar
  3. [3]
    Delcomyn, F. (1980) Neural basis of rhythmic behavior in animals. Science 210: 492–498.PubMedCrossRefGoogle Scholar
  4. [4]
    Duffin, J. (1991) A model of respiratory rhythm generation. Neuroreport 2: 623–626.PubMedCrossRefGoogle Scholar
  5. [5]
    Friesen, W.O. and Stent, G.S. (1977) Generation of a locomotory rhythm by a neural network with recurrent cyclic inhibition. Biol. Cybern. 28: 27–40.Google Scholar
  6. [6]
    Gottschalk, A., Ogilvie, M.D., Richter, D.W., and Pack, A. (1994) Computational aspects of the respiratory pattern generator. Neural Computation 6: 56–68.CrossRefGoogle Scholar
  7. [7]
    Kinney, H.C, Filiano, J.J., Sleeper, L.A., Mandell, F., Valdes-Dapena, M., and White. W.F. (1995) Decreased muscarinic receptor binding in the arcuate nucleus in sudden infant death syndrome. Science, 269: 1446–1450.PubMedCrossRefGoogle Scholar
  8. [8]
    Koppel, N. (1988) Toward a theory of modelling central pattern generators. In: Cohen, A.H., Rossignol, S., and Grillner, S. eds. Neural Control of Rhythmic Movements in Vertebrates. John Willey & Sons, New York. pp. 369–413.Google Scholar
  9. [9]
    Matsugu, M., J. Duffin, C.-S. Poon (1997) submitted to J. of Comput. Neurosci.Google Scholar
  10. [10]
    Richter, D.W., Ballantyne, D., and Remmers. J.E. (1986) How is the respiratory rhythm generated ? A model. News Physiol. Sci. 1: 109–112.Google Scholar
  11. [11]
    Selverston, A. and Mazzoni, P. (1989) Flexibility of Computational Units in Invertebrate CPGs. In: Durbin, R., Miall, C., and Mitchison, G. eds. The Computing Neuron. Addison-Wesley Pub. Ltd., Reading, MA. pp. 205–228.Google Scholar
  12. [12]
    Skinner, F.K., Kopell, N., and Marder, E. (1994) Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. J. of Computational Neurosci. 1: 69–88.CrossRefGoogle Scholar
  13. [13]
    Smith, J.C., Ellenberger, K., Ballanyi, D., Richter, D.W., and Feldman, J.L. (1991) Pre-Bötzinger complex: a brain stem region that may generate respiratory rhythm in mammals. Science 254: 726–729.PubMedCrossRefGoogle Scholar
  14. [14]
    Wang, X.J. and Rinzel, J. (1992) Alternating and Synchronous Rhythms in Reciprocally Inhibitory Model Neurons. Neural Computation 4: 84–97.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Masakazu Matsugu
    • 1
  • Chi-Sang Poon
    • 2
  1. 1.Imaging Research CenterCanon Inc.Ohta-ku, Tokyo, 146Japan
  2. 2.Harvard-MIT Division of Health Sciences and TechnologyMassachusetts Institute of TechnologyCambridgeUSA

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