The FitzHugh-Nagumo model: Firing modes with time-varying parameters and parameter estimation
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Author(s) • • •
Faghih, Rose Taj
Savla, Ketan
Dahleh, Munther A.
Brown, Emery N.
Date Issued
September 2010
Journal
International Conference IEEE Engineering in Medicine and Biology Society (EMBC)
Publisher
Institute of Electrical and Electronics Engineers
Citation
Faghih, R.T. et al. “The Fitzhugh-Nagumo Model: Firing Modes with Time-varying Parameters & Parameter Estimation.” Engineering in Medicine and Biology Society (EMBC), 2010 Annual International Conference of the IEEE. 2010. 4116-4119. Copyright © 2010, IEEE
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Final published version
Abstract
In this paper, we revisit the issue of the utility
of the FitzHugh-Nagumo (FHN) model for capturing neuron
firing behaviors. It has been noted (e.g., see [6]) that the
FHN model cannot exhibit certain interesting firing behaviors
such as bursting. We illustrate that, by allowing time-varying
parameters for the FHN model, one could overcome such
limitations while still retaining the low order complexity of
the FHN model. We also highlight the utility of the FHN model
from an estimation perspective by presenting a novel parameter
estimation method that exploits the multiple time scale feature
of the FHN model, and compare the performance of this method
with the Extended Kalman Filter through illustrative examples.
MIT Department
Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/IEMBS.2010.5627326