Hodgkin-Huxley revisited: reparametrization and identifiability analysis of the classic action potential model with

Aidan C Daly1, David J Gavaghan1, Chris Holmes2

  • 1Department of Computer Science University of Oxford Oxford, UK.

Insights

Approximate Bayesian computation (ABC) successfully inferred cardiac ion channel parameters in the Hodgkin-Huxley model. This method validates early work while highlighting limitations in voltage-clamp data for full model constraint.

Area of Science:

  • Computational Biology
  • Biophysics
  • Physiology

Background:

  • Complex cardiac cell models require robust parameterization methods.
  • Loss of direct links between model parameters and experimental data hinders reproducibility and re-fitting.
  • Approximate Bayesian computation (ABC) offers a potential solution for inferring parameter distributions.

Purpose of the Study:

  • To evaluate the efficacy of ABC in parameter inference for the Hodgkin-Huxley cardiac action potential model.
  • To assess the relationship between model parameters and experimental data.
  • To establish a template for data-driven parametrization of new cardiac models.

Main Methods:

  • Application of Approximate Bayesian Computation (ABC) to the Hodgkin-Huxley model.
  • Inference of parameter distributions for ion channel gating rates and voltage dependencies.
  • Comparison of ABC-derived parameters with original experimental values.

Main Results:

  • ABC accurately reproduced reported values for sodium and potassium channel gating rates.
  • Variable posteriors for voltage dependency parameters indicate insufficient constraint from voltage-clamp data alone.
  • Hodgkin-Huxley parameter estimates remain competitive with ABC-derived values.

Conclusions:

  • ABC is a viable method for parameter inference in complex cardiac models.
  • Additional experimental data is necessary to fully constrain voltage dependency parameters.
  • This study provides a foundation for cardiac model identifiability analysis and data-driven parametrization.

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