Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data

Eugene B. Postnikov, Olga V. Titkova, Anastasia I. Lavrova

Research outputpeer-review

Abstract

We apply the method of scaling fitting of the FitzHugh-Nagumo equation to describe a circuit consisting of the two coupled neurons aimed to reproduce non-stationary EEG modulations of theta-rhythm emerging during a rat's run along a linear track. It is shown that such an approach allows a quantitative reproduction of recorded oscillations and, therefore, may be used for a further development of computational models describing the spatial navigation in a rat brain.

Original languageEnglish
Title of host publicationICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages13-14
Number of pages2
Volume2018-January
ISBN (Electronic)9781509066643
ISBN (Print)9781509066643
DOIs
Publication statusPublished - 2 Feb 2018
Event2nd International Conference on Intelligent Informatics and Biomedical Sciences, ICIIBMS 2017 - Okinawa
Duration: 23 Nov 201725 Nov 2017

Publication series

NameICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences
Volume2018-January

Conference

Conference2nd International Conference on Intelligent Informatics and Biomedical Sciences, ICIIBMS 2017
CountryJapan
CityOkinawa
Period23/11/1725/11/17

Fingerprint

FitzHugh-Nagumo Equations
Dynamic Modeling
Building Blocks
Rats
Electroencephalography
Computational Model
Neurons
Navigation
Neuron
Brain
Modulation
Scaling
Oscillation
Networks (circuits)
Electroencephalogram

Scopus subject areas

  • Artificial Intelligence
  • Computer Networks and Communications
  • Information Systems
  • Biomedical Engineering
  • Safety, Risk, Reliability and Quality
  • Control and Optimization

Cite this

Postnikov, E. B., Titkova, O. V., & Lavrova, A. I. (2018). Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data. In ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences (Vol. 2018-January, pp. 13-14). (ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIIBMS.2017.8279687
Postnikov, Eugene B. ; Titkova, Olga V. ; Lavrova, Anastasia I. / Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data. ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. pp. 13-14 (ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences).
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Postnikov, EB, Titkova, OV & Lavrova, AI 2018, Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data. in ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences. vol. 2018-January, ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 13-14, Okinawa, 23/11/17. https://doi.org/10.1109/ICIIBMS.2017.8279687

Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data. / Postnikov, Eugene B.; Titkova, Olga V.; Lavrova, Anastasia I.

ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. p. 13-14 (ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences; Vol. 2018-January).

Research outputpeer-review

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T1 - Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data

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PY - 2018/2/2

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N2 - We apply the method of scaling fitting of the FitzHugh-Nagumo equation to describe a circuit consisting of the two coupled neurons aimed to reproduce non-stationary EEG modulations of theta-rhythm emerging during a rat's run along a linear track. It is shown that such an approach allows a quantitative reproduction of recorded oscillations and, therefore, may be used for a further development of computational models describing the spatial navigation in a rat brain.

AB - We apply the method of scaling fitting of the FitzHugh-Nagumo equation to describe a circuit consisting of the two coupled neurons aimed to reproduce non-stationary EEG modulations of theta-rhythm emerging during a rat's run along a linear track. It is shown that such an approach allows a quantitative reproduction of recorded oscillations and, therefore, may be used for a further development of computational models describing the spatial navigation in a rat brain.

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KW - EEG

KW - FitzHugh-Nagumo model

KW - spatial navigation

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Postnikov EB, Titkova OV, Lavrova AI. Scaled FitzHugh-Nagumo equations as building blocks for modelling dynamics adjusted to measurable biophysical data. In ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences. Vol. 2018-January. Institute of Electrical and Electronics Engineers Inc. 2018. p. 13-14. (ICIIBMS 2017 - 2nd International Conference on Intelligent Informatics and Biomedical Sciences). https://doi.org/10.1109/ICIIBMS.2017.8279687