Reduction of conductance-based neuron models

  title={Reduction of conductance-based neuron models},
  author={T. Kepler and L. F. Abbott and E. Marder},
  journal={Biological Cybernetics},
  • T. Kepler, L. F. Abbott, E. Marder
  • Published 2004
  • Mathematics, Computer Science, Medicine
  • Biological Cybernetics
  • 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). 
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