Order Reduction for Dynamical Systems Describing the Behavior of Complex Neurons
Abstract
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.
Cite
Text
Kepler et al. "Order Reduction for Dynamical Systems Describing the Behavior of Complex Neurons." Neural Information Processing Systems, 1990.Markdown
[Kepler et al. "Order Reduction for Dynamical Systems Describing the Behavior of Complex Neurons." Neural Information Processing Systems, 1990.](https://mlanthology.org/neurips/1990/kepler1990neurips-order/)BibTeX
@inproceedings{kepler1990neurips-order,
title = {{Order Reduction for Dynamical Systems Describing the Behavior of Complex Neurons}},
author = {Kepler, Thomas B. and Abbott, L. F. and Marder, Eve},
booktitle = {Neural Information Processing Systems},
year = {1990},
pages = {55-61},
url = {https://mlanthology.org/neurips/1990/kepler1990neurips-order/}
}