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A probabilistic reduced-order modeling framework for patient-specific cardio-mechanical analysis.

Robin Willems1, Peter Förster2, Sebastian Schöps3

  • 1Department of Mechanical Engineering, Energy Technology and Fluid Dynamics, Eindhoven University of Technology, The Netherlands; Department of Biomedical Engineering, Cardiovascular Biomechanics, Eindhoven University of Technology, The Netherlands.

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Summary

This study introduces a probabilistic reduced-order modeling (ROM) framework to accelerate cardiac simulations for clinical use. The new method significantly reduces computational cost while providing crucial uncertainty estimates for reliable decision-making.

Keywords:
Bayesian inferenceCardiac mechanicsGaussian processesIsogeometric analysisOne-fiber modelPatient-specific analysisReduced-order modeling

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Area of Science:

  • Computational mechanics
  • Biomedical engineering
  • Medical imaging

Background:

  • Cardiac models offer valuable clinical insights but are computationally intensive, limiting their real-world application.
  • Existing models face challenges in balancing accuracy with computational efficiency for patient-specific analyses.

Purpose of the Study:

  • To develop a probabilistic reduced-order modeling (ROM) framework to decrease computational effort in cardiac simulations.
  • To provide a credibility interval for model predictions, enhancing clinical decision-making trustworthiness.

Main Methods:

  • Developed a generalized one-fiber model with correction factors for patient-specific attributes.
  • Employed Bayesian inference and a Gaussian process for calibrating and predicting correction factors using a full-order model (FOM).
  • Validated the framework on idealized and scan-based left-ventricle geometries.

Main Results:

  • The ROM framework demonstrated accurate online predictions when sufficient FOM training data was available.
  • The framework successfully emulated patient-specific attributes like local geometry variations.
  • Uncertainty bands provided insights into prediction trustworthiness, indicating areas for further data collection.

Conclusions:

  • The probabilistic ROM framework significantly reduces computational burden for cardiac models.
  • The approach enables faster, patient-specific simulations with reliable uncertainty quantification.
  • This method holds promise for enhancing clinical decision-making through efficient and trustworthy computational tools.