Reduction of conductance-based neuron models

Biol Cybern. 1992;66(5):381-7. doi: 10.1007/BF00197717.


We present a scheme for systematically reducing the number of differential equations required for biophysically realistic neuron models. The techniques are general, are designed to be applicable to a large set of such models and retain in the reduced system as high a degree of fidelity to the original system as possible. As examples, we provide reductions of the Hodgkin-Huxley system and the A-current model of Connor et al. (1977).

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.
  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Mathematics
  • Membrane Potentials
  • Models, Neurological*
  • Neural Conduction*
  • Neurons / physiology*