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Physics-informed neural networks for blood flow inverse problems

arXiv 2308.00927 ↗First posted 2 Aug 2023cs.CE cs.AIcited by 0

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Abstract (arXiv)

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially useful in hemodynamics since the boundary information is often difficult to model, and high-quality blood flow measurements are generally hard to obtain. In this work, we use the PINNs methodology for estimating reduced-order model parameters and the full velocity field from scatter 2D noisy measurements in the ascending aorta. The results show stable and accurate parameter estimations when using the method with simulated data, while the velocity reconstruction shows dependence on the measurement quality and the flow pattern complexity. The method allows for solving clinical-relevant inverse problems in hemodynamics and complex coupled physical systems.

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References · 10

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
  2. 2022Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's nextcited by 608
  3. 2021Physics-informed neural networks (PINNs) for fluid mechanics: A reviewcited by 473
  4. 2019Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networkscited by 76
  5. 2020A Physics-Guided Neural Network Framework for Elastic Plates: Comparison of Governing Equations-Based and Energy-Based Approachescited by 34
  6. 2022Physics-informed neural networks to learn cardiac fiber orientation from multiple electroanatomical mapscited by 14
  7. 2020A deep learning framework for solution and discovery in solid mechanicscited by 12
  8. 2021An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulationscited by 1
  9. 2022An analysis of reconstruction noise from undersampled 4D flow MRIcited by 1
  10. 2023Benchmarks for physics-informed data-driven hyperelasticitycited by 1

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