We present a scheme for systematically reducing the number of differen
tial 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 fi
delity to the original system as possible. As examples, we provide red
uctions of the Hodgkin-Huxley system and the A-current model of Connor
et al. (1977).