Mathematical Models of the Crayfish Swimmeret System

  • Frances K. Skinner
  • Nancy Kopell
  • Brian Mulloney


The neural basis of intersegmental coordination in animals that have been studied lies in the oscillatory output of neural networks or central pattern generators (Delcomyn, 1980). Mathematical models which describe such circuits have the potential to provide insight into neural mechanisms and design principles that operate in them. In this paper we look at intersegmental coordination in the crayfish swimmeret system, and consider two different mathematical models. In the first model, the system is represented by phase-coupled oscillators and no cellular details are present. In the second model, a simple cellular framework is formulated and preliminary results are presented.


Central Pattern Generator Intrinsic Frequency Local Interneuron Intersegmental Coordination Bidirectional Coupling 


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Frances K. Skinner
    • 1
  • Nancy Kopell
    • 2
  • Brian Mulloney
    • 1
  1. 1.Section of Neurobiology Physiology and BehaviorUniversity of CaliforniaDavisUSA
  2. 2.Department of MathematicsBoston UniversityBostonUSA

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