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Modeling a non-inactivating delayed rectifier cardiac current using voltage clamp data

D R Lemieux1, H Chicoine, F A Roberge

  • 1Institute of Biomedical Engineering, Ecole Polytechnique, Montreal, Canada.

Journal of Theoretical Biology
|August 21, 1994
PubMed
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A new parameter estimation method for voltage-clamp data accurately models cardiac potassium currents using the Hodgkin-Huxley model. This approach minimizes noise and offers flexibility by combining Hodgkin-Huxley and Markov chain models.

Area of Science:

  • Biophysics
  • Computational Neuroscience
  • Cardiovascular Physiology

Background:

  • Accurate modeling of ion channel kinetics is crucial for understanding cardiac electrophysiology.
  • The Hodgkin-Huxley (HH) model provides a framework for representing ion channel dynamics, including delayed rectifier potassium currents (IK).
  • Existing parameter estimation methods can be sensitive to noise and model limitations.

Purpose of the Study:

  • To introduce a novel, noise-minimized parameter estimation method for experimental voltage-clamp data.
  • To evaluate the performance of the Hodgkin-Huxley model in representing delayed rectifier potassium currents.
  • To assess the suitability of the HH model for data generated by more complex Markov chain (MC) models.

Main Methods:

  • Developed a parameter estimation method based on the Hodgkin-Huxley model of a generic non-inactivating delayed rectifier current (IK).

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  • Employed linear optimization, utilizing least-squares minimization for initial parameter estimates and global minimization for final refinement.
  • Minimized noise effects by avoiding the use of the time derivative of IK in calculations.
  • Validated the method using simulated voltage-clamp data from both HH and five-state Markov chain (MC) models.

    • Main Results:

    • The proposed HH parameter estimation method yielded excellent results when applied to HH and nominal MC model data.
    • Simulations showed that changes in closed-to-open rate constants of MC models significantly impacted HH parameter estimates.
    • Closed-state rate constant variations had limited influence on HH parameter estimates.
    • A given MC data set could be closely fitted by the HH model.

    Conclusions:

    • The developed parameter estimation method is robust and effective for analyzing voltage-clamp data of delayed rectifier potassium currents.
    • The Hodgkin-Huxley model can effectively approximate the behavior of more complex Markov chain models under certain conditions.
    • A hybrid Hodgkin-Huxley and Markov chain representation offers greater flexibility and reduced complexity for modeling IK data.