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Toward robust modeling of breast biomechanical compression: an extended study using graph neural networks
Hadeel Awwad1, Eloy García1, Robert Martí1
1Computer Vision and Robotics Institute (VICOROB), University of Girona, Girona, Spain.
Journal of Medical Imaging (Bellingham, Wash.)
|December 31, 2025
Summary
Physics-based graph neural networks (PhysGNN) efficiently simulate breast compression, outperforming traditional finite element analysis (FEA). Multiphantom training enhances PhysGNN accuracy and robustness for breast image registration applications.
Area of Science:
- Medical imaging
- Computational modeling
- Biomedical engineering
Background:
- Accurate simulation of breast tissue deformation is crucial for image registration between 3D modalities and 2D mammograms.
- Finite element analysis (FEA) offers high-fidelity but is computationally intensive, limiting its use in rapid simulations.
- Physics-based graph neural networks (PhysGNN) present a computationally efficient alternative for modeling breast compression.
Purpose of the Study:
- Evaluate PhysGNN performance on new digital breast phantoms.
- Assess the impact of training PhysGNN on multiple phantoms.
- Extend prior work on PhysGNN for breast deformation simulation.
Main Methods:
- PhysGNN was trained on single-phantom (per-geometry) and multiphantom (multigeometry) datasets.
- Datasets were generated from incremental FEA simulations of digital breast phantoms.
- A leave-one-deformation-out strategy evaluated predictive performance under compression.
Main Results:
- PhysGNN demonstrated robust performance on new digital phantoms, with some variability due to anatomical diversity.
- Multiphantom training improved robustness and reduced prediction errors compared to single-phantom training.
- Model performance remained strong with per-geometry training, enhanced by multigeometry approaches.
Conclusions:
- PhysGNN provides a computationally efficient alternative to FEA for simulating breast compression.
- Multigeometry training enhances PhysGNN's predictive accuracy and robustness.
- PhysGNN shows significant potential for developing reliable models for compressed breast volumes, aiding image registration and algorithm development.

