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Physics-informed neural networks for parameter estimation in blood flow models.

Jeremías Garay¹, Jocelyn Dunstan², Sergio Uribe³

¹Department of Mechanical and Metallurgical Engineering, Pontificia Universidad Católica de Chile, Chile; Center of Biomedical Imaging, Pontificia Universidad Católica de Chile, Chile; Millennium Institute for Intelligent Healthcare Engineering (iHealth), Chile.

Computers in Biology and Medicine

|June 16, 2024

Summary

Physics-informed neural networks (PINNs) effectively estimate parameters and velocity fields from limited hemodynamic data. This deep learning approach shows promise for complex physical system simulations, outperforming traditional methods with more parameters.

Keywords:

Blood flow Hemodynamics Patient-specific model Physics-informed neural networks Reduced-order modeling

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Area of Science:

Computational fluid dynamics
Biomedical engineering
Machine learning

Background:

Physics-informed neural networks (PINNs) are valuable for inverse problems with incomplete data.
Hemodynamics presents challenges due to difficult boundary modeling and scarce high-quality measurements.

Purpose of the Study:

To apply PINNs for estimating reduced-order model parameters and velocity fields in the aorta.
To analyze performance in both stationary and transient flow regimes using noisy scatter measurements.

Main Methods:

Utilized PINNs methodology for parameter estimation and velocity field reconstruction.
Investigated two distinct flow regimes: stationary and transient.
Compared PINNs performance against a Kalman filter approach.

Main Results:

Achieved robust and accurate parameter estimations from simulated data.
Velocity reconstruction accuracy depends on measurement quality and flow complexity.
PINNs outperformed Kalman filters when estimating a higher number of parameters.

Conclusions:

PINNs offer a powerful deep learning-driven approach for simulating complex coupled physical systems.
The method demonstrates significant potential for advancing hemodynamic modeling and analysis.