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Enabling forward uncertainty quantification and sensitivity analysis in cardiac electrophysiology by reduced order
Stefano Pagani1, Andrea Manzoni1
1MOX, Dipartimento di Matematica, Politecnico di Milano, Milan, Italy.
International Journal for Numerical Methods in Biomedical Engineering
|February 18, 2021
Summary
This study introduces an efficient framework for uncertainty quantification in cardiac electrophysiology. It uses reduced-order models to significantly reduce computational costs while maintaining accuracy.
Area of Science:
- Computational Biology
- Biophysics
- Cardiovascular Research
Background:
- Cardiac electrophysiology modeling is crucial for understanding heart function.
- Uncertainty quantification (UQ) in these models is computationally intensive.
- Existing methods struggle with the high cost of full-order models.
Purpose of the Study:
- To develop a computationally efficient framework for forward UQ in cardiac electrophysiology.
- To integrate sensitivity analysis and uncertainty propagation.
- To reduce the computational burden of high-fidelity cardiac models.
Main Methods:
- Utilized the monodomain and Aliev-Panfilov models for cardiac electrical and ionic activity.
- Employed projection-based reduced-order models (ROMs) to decrease state-space dimensionality.
- Incorporated artificial neural network (ANN)-based models to account for ROM approximation errors.
Main Results:
- The proposed physics-based ROMs significantly reduced computational costs compared to full-order models.
- The framework successfully performed variance-based global sensitivity analysis and uncertainty propagation.
- ANNs enhanced the accuracy of the UQ pipeline by correcting ROM approximation errors.
Conclusions:
- The developed framework offers a computationally efficient solution for UQ in cardiac electrophysiology.
- Physics-based ROMs combined with ANNs provide a superior alternative to traditional regression-based emulators.
- This approach enables more accurate and efficient investigation of intra-subject variability in cardiac models.

