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Symmetry in locomotor central pattern generators and animal gaits

Author

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  • Martin Golubitsky

    (University of Houston)

  • Ian Stewart

    (Mathematics Institute, University of Warwick)

  • Pietro-Luciano Buono

    (Mathematics Institute, University of Warwick)

  • J. J. Collins

    (Center for BioDynamics, Boston University)

Abstract

Animal locomotion is controlled, in part, by a central pattern generator (CPG), which is an intraspinal network of neurons capable of generating a rhythmic output1,2,3,4. The spatio-temporal symmetries of the quadrupedal gaits walk, trot and pace5,6,7,8 lead to plausible assumptions about the symmetries of locomotor CPGs9,10,11. These assumptions imply that the CPG of a quadruped should consist of eight nominally identical subcircuits, arranged in an essentially unique matter. Here we apply analogous arguments to myriapod CPGs. Analyses based on symmetry applied to these networks lead to testable predictions, including a distinction between primary and secondary gaits, the existence of a new primary gait called ‘jump’, and the occurrence of half-integer wave numbers in myriapod gaits. For bipeds, our analysis also predicts two gaits with the out-of-phase symmetry of the walk and two gaits with the in-phase symmetry of the hop. We present data that support each of these predictions. This work suggests that symmetry can be used to infer a plausible class of CPG network architectures from observed patterns of animal gaits.

Suggested Citation

  • Martin Golubitsky & Ian Stewart & Pietro-Luciano Buono & J. J. Collins, 1999. "Symmetry in locomotor central pattern generators and animal gaits," Nature, Nature, vol. 401(6754), pages 693-695, October.
  • Handle: RePEc:nat:nature:v:401:y:1999:i:6754:d:10.1038_44416
    DOI: 10.1038/44416
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    Cited by:

    1. Keiko Yokoyama & Yuji Yamamoto, 2011. "Three People Can Synchronize as Coupled Oscillators during Sports Activities," PLOS Computational Biology, Public Library of Science, vol. 7(10), pages 1-8, October.
    2. Jonathan B Dingwell & Joby John & Joseph P Cusumano, 2010. "Do Humans Optimally Exploit Redundancy to Control Step Variability in Walking?," PLOS Computational Biology, Public Library of Science, vol. 6(7), pages 1-15, July.

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