Behaviour of some models of myelinated axons.

  title={Behaviour of some models of myelinated axons.},
  author={Jonathan Bell},
  journal={IMA journal of mathematics applied in medicine and biology},
  volume={1 2},
  • Jonathan Bell
  • Published 1984 in
    IMA journal of mathematics applied in medicine…
In this paper we discuss several approaches to modelling myelinated axons and examine the qualitative behaviour of the models. To facilitate our goal of understanding in detail the differences in mechanisms modelling myelination, we impose at the nodes the simplest nonlinear current-voltage relation which allows the models to possess appropriate threshold behaviour and propagating action potentials (travelling waves). Our type of model is a nonlinear differential-difference system and the… CONTINUE READING