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Fast Posterior Estimation of Cardiac Electrophysiological Model Parameters via Bayesian Active Learning.

Md Shakil Zaman1, Jwala Dhamala1, Pradeep Bajracharya1

  • 1Rochester Institute of Technology, Rochester, NY, United States.

Frontiers in Physiology
|November 11, 2021
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Summary

This study introduces a Bayesian active learning method for accurate and efficient probabilistic estimation of cardiac electrophysiological model parameters, significantly reducing computational costs for personalized heart models.

Keywords:
Gaussian processcardiac electrophysiological modelhigh-dimensional Bayesian optimizationprobabilistic parameter estimationvariational autoencoder

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Area of Science:

  • Computational Biology
  • Biophysics
  • Cardiovascular Research

Background:

  • Probabilistic estimation of cardiac electrophysiological model parameters is crucial for personalized medicine and uncertainty quantification.
  • Direct Markov Chain Monte Carlo (MCMC) sampling is computationally intensive due to expensive model simulations.
  • Surrogate models offer computational efficiency but often lack sufficient accuracy for posterior probability density function (pdf) approximation.

Purpose of the Study:

  • To develop a novel Bayesian active learning method for direct approximation of cardiac model parameter posterior pdfs.
  • To enhance the accuracy and efficiency of parameter estimation in complex cardiac electrophysiological models.
  • To enable high-dimensional parameter inference at the resolution of cardiac mesh.

Main Methods:

  • Integration of a generative model within Bayesian active learning to handle high-dimensional parameter spaces.
  • Introduction of new acquisition functions designed to prioritize shape approximation over mode-finding for posterior pdfs.
  • Intelligent selection of training points to query the simulation model, minimizing sample requirements.

Main Results:

  • The proposed method demonstrated superior accuracy in approximating posterior pdfs compared to standard Bayesian active learning.
  • Significant reduction in computational cost was achieved relative to traditional and accelerated MCMC sampling techniques.
  • Effective estimation of tissue excitability in a 3D cardiac electrophysiological model was validated using synthetic and real data.

Conclusions:

  • The developed Bayesian active learning approach offers a computationally efficient and accurate solution for probabilistic parameter estimation in cardiac electrophysiology.
  • This method facilitates improved model personalization and uncertainty quantification for cardiac models.
  • The novel acquisition functions enhance the learning process for complex posterior probability distributions.