Identifiability of a Hodgkin-Huxley type ion channel under voltage step measurement conditions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we analyze the identifiability properties of a Hodgkin-Huxley (HH) type voltage dependent ion channel model under voltage clamp circumstances. The elimination of the differential variables is performed, and the identifiability of various parameters is analyzed using the differential algebra approach and the algorithm based on the Taylor series expansion of the output. It is shown that the model is structurally non-identifiable using certain commonly applied parametrizations, and hidden dependences between physical parameters are unravelled. Using the results of the identifiability analysis, physically meaningful examples are shown when the model parameters are different but the system outputs are identical.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages332-337
Number of pages6
Volume9
EditionPART 1
DOIs
Publication statusPublished - 2010
Event9th International Symposium on Dynamics and Control of Process Systems, DYCOPS 2010 - Leuven, Belgium
Duration: Jul 5 2010Jul 7 2010

Other

Other9th International Symposium on Dynamics and Control of Process Systems, DYCOPS 2010
CountryBelgium
CityLeuven
Period7/5/107/7/10

Fingerprint

Ions
Electric potential
Taylor series
Clamping devices
Algebra

Keywords

  • Control applications in biological processes
  • Modeling and identification

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Identifiability of a Hodgkin-Huxley type ion channel under voltage step measurement conditions. / Csercsik, D.; Szederkényi, G.; Hangos, K.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 9 PART 1. ed. 2010. p. 332-337.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Csercsik, D, Szederkényi, G & Hangos, K 2010, Identifiability of a Hodgkin-Huxley type ion channel under voltage step measurement conditions. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 9, pp. 332-337, 9th International Symposium on Dynamics and Control of Process Systems, DYCOPS 2010, Leuven, Belgium, 7/5/10. https://doi.org/10.3182/20100705-3-BE-2011.0077
Csercsik, D. ; Szederkényi, G. ; Hangos, K. / Identifiability of a Hodgkin-Huxley type ion channel under voltage step measurement conditions. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 9 PART 1. ed. 2010. pp. 332-337
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