Models in Neurobiology

  • John Rinzel
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 75)


The most familiar mode of neural communication is electrical and synaptic signaling by individual nerve cells. Here we shall consider a few stereotypical phenomena of such signaling. A primary observable is the potential V (deviation from rest) across the cell membrane which responds to applied stimulating current Iapp and to changes in membrane permeability to the various ion species. These permeability changes also usually depend on V and, for excitable membrane, result in the generation of the nerve impulse. We will describe and present results for models (some quantitative but others more qualitative) of excitable membrane behavior.


Periodic Solution Hopf Bifurcation Travel Wave Solution Impulse Propagation Interpulse Interval 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • John Rinzel
    • 1
  1. 1.Mathematical Research BranchNational Institutes of HealthBethesdaUSA

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