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The FitzHugh-Nagumo model: Firing modes with time-varying parameters and parameter estimation

Author(s)
Faghih, Rose Taj; Savla, Ketan; Dahleh, Munther A.; Brown, Emery N.
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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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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.
Date issued
2010-09
URI
http://hdl.handle.net/1721.1/62013
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
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
Version: Final published version
Other identifiers
INSPEC Accession Number: 11660297
ISBN
978-1-4244-4123-5
ISSN
1557-170X

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