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


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1982-01

AUTHORS

Avis H. Cohen, Philip J. Holmes, Richard H. Rand

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 theta(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. More... »

PAGES

345-369

References to SciGraph publications

  • 1980-12. Induction of swimming in lamprey by L-DOPA and amino acids in JOURNAL OF COMPARATIVE PHYSIOLOGY A
  • 1980-12. The neuronal correlate of locomotion in fish in EXPERIMENTAL BRAIN RESEARCH
  • 1974-08. On the generation of locomotion in the spinal dogfish in EXPERIMENTAL BRAIN RESEARCH
  • 1976. On the Generation and Performance of Swimming in Fish in NEURAL CONTROL OF LOCOMOTION
  • 1981-01. Phase plane description of endogenous neuronal oscillators in Aplysia in BIOLOGICAL CYBERNETICS
  • 1981-08. n:m Phase-locking of weakly coupled oscillators in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1976. Mechanisms of Interlimb Phase Control in NEURAL CONTROL OF LOCOMOTION
  • 1977-03. Generation of a locomotory rhythm by a neural network with recurrent cyclic inhibition in BIOLOGICAL CYBERNETICS
  • 1979-03. Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology in JOURNAL OF MATHEMATICAL BIOLOGY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00276069

    DOI

    http://dx.doi.org/10.1007/bf00276069

    DIMENSIONS

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    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/7057117


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