Order Reduction for Dynamical Systems Describing the Behavior of Complex Neurons

Part of Advances in Neural Information Processing Systems 3 (NIPS 1990)

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Thomas Kepler, L. Abbott, Eve Marder


We have devised a scheme to reduce the complexity of dynamical systems belonging to a class that includes most biophysically realistic neural models. The reduction is based on transformations of variables and perturbation expansions and it preserves a high level of fidelity to the original system. The techniques are illustrated by reductions of the Hodgkin-Huxley system and an augmented Hodgkin-Huxley system.