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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.
Abstract:
As cardiac cell models become increasingly complex, a correspondingly complex 'genealogy' of inherited parameter values has also emerged. The result has been the loss of a direct link between model parameters and experimental data, limiting both reproducibility and the ability to re-fit to new data. We examine the ability of approximate Bayesian computation (ABC) to infer parameter distributions in the seminal action potential model of Hodgkin and Huxley, for which an immediate and documented connection to experimental results exists. The ability of ABC to produce tight posteriors around the reported values for the gating rates of sodium and potassium ion channels validates the precision of this early work, while the highly variable posteriors around certain voltage dependency parameters suggests that voltage clamp experiments alone are insufficient to constrain the full model. Despite this, Hodgkin and Huxley's estimates are shown to be competitive with those produced by ABC, and the variable behaviour of posterior parametrized models under complex voltage protocols suggests that with additional data the model could be fully constrained. This work will provide the starting point for a full identifiability analysis of commonly used cardiac models, as well as a template for informative, data-driven parametrization of newly proposed models.
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