Biological Cybernetics

, Volume 66, Issue 5, pp 381–387 | Cite as

Reduction of conductance-based neuron models

  • Thomas B. Kepler
  • L. F. Abbott
  • Eve Marder


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).


Differential Equation Original System Neuron Model Realistic Neuron Realistic Neuron Model 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Thomas B. Kepler
    • 1
  • L. F. Abbott
    • 2
  • Eve Marder
    • 1
  1. 1.Departments of BiologyBrandeis UniversityWalthamUSA
  2. 2.Department of Physics and The Center for Complex SystemsBrandeis UniversityWalthamUSA

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