Journal of Mathematical Biology

, Volume 13, Issue 3, pp 345–369 | Cite as

The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model

  • Avis H. Cohen
  • Philip J. Holmes
  • Richard H. Rand
Article

Abstract

We present a theoretical model which is used to explain the intersegmental coordination of the neural networks responsible for generating locomotion in the isolated spinal cord of lamprey.

A simplified mathematical model of a limit cycle oscillator is presented which consists of only a single dependent variable, the phase θ(t). By coupling N such oscillators together we are able to generate stable phase locked motions which correspond to traveling waves in the spinal cord, thus simulating “fictive swimming”. We are also able to generate irregular “drifting” motions which are compared to the experimental data obtained from cords with selective surgical lesions.

Key words

Locomotion Pattern generator Dynamical systems Oscillators 

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Avis H. Cohen
    • 1
  • Philip J. Holmes
    • 2
  • Richard H. Rand
    • 2
  1. 1.Department of PhysiologySchool of Veterinary MedicineUSA
  2. 2.Department of Theoretical and Applied Mechanics and Center for Applied MathematicsCornell UniversityIthacaUSA

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