Biophysics-Enhanced Neural Representations for Patient-Specific Respiratory Motion Modeling

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Main Authors: Boysen, Jan, Uzunova, Hristina, Handels, Heinz, Ehrhardt, Jan
Format: Preprint
Published: 2026
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author Boysen, Jan
Uzunova, Hristina
Handels, Heinz
Ehrhardt, Jan
author_facet Boysen, Jan
Uzunova, Hristina
Handels, Heinz
Ehrhardt, Jan
contents A precise spatial delivery of the radiation dose is crucial for the treatment success in radiotherapy. In the lung and upper abdominal region, respiratory motion introduces significant treatment uncertainties, requiring special motion management techniques. To address this, respiratory motion models are commonly used to infer the patient-specific respiratory motion and target the dose more efficiently. In this work, we investigate the possibility of using implicit neural representations (INR) for surrogate-based motion modeling. Therefore, we propose physics-regularized implicit surrogate-based modeling for respiratory motion (PRISM-RM). Our new integrated respiratory motion model is free of a fixed reference breathing state. Unlike conventional pairwise registration techniques, our approach provides a trajectory-aware spatio-temporally continuous and diffeomorphic motion representation, improving generalization to extrapolation scenarios. We introduce biophysical constraints, ensuring physiologically plausible motion estimation across time beyond the training data. Our results show that our trajectory-aware approach performs on par in interpolation and improves the extrapolation ability compared to our initially proposed INR-based approach. Compared to sequential registration-based approaches both our approaches perform equally well in interpolation, but underperform in extrapolation scenarios. However, the methodical features of INRs make them particularly effective for respiratory motion modeling, and with their performance steadily improving, they demonstrate strong potential for advancing this field.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22123
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Biophysics-Enhanced Neural Representations for Patient-Specific Respiratory Motion Modeling
Boysen, Jan
Uzunova, Hristina
Handels, Heinz
Ehrhardt, Jan
Computer Vision and Pattern Recognition
A precise spatial delivery of the radiation dose is crucial for the treatment success in radiotherapy. In the lung and upper abdominal region, respiratory motion introduces significant treatment uncertainties, requiring special motion management techniques. To address this, respiratory motion models are commonly used to infer the patient-specific respiratory motion and target the dose more efficiently. In this work, we investigate the possibility of using implicit neural representations (INR) for surrogate-based motion modeling. Therefore, we propose physics-regularized implicit surrogate-based modeling for respiratory motion (PRISM-RM). Our new integrated respiratory motion model is free of a fixed reference breathing state. Unlike conventional pairwise registration techniques, our approach provides a trajectory-aware spatio-temporally continuous and diffeomorphic motion representation, improving generalization to extrapolation scenarios. We introduce biophysical constraints, ensuring physiologically plausible motion estimation across time beyond the training data. Our results show that our trajectory-aware approach performs on par in interpolation and improves the extrapolation ability compared to our initially proposed INR-based approach. Compared to sequential registration-based approaches both our approaches perform equally well in interpolation, but underperform in extrapolation scenarios. However, the methodical features of INRs make them particularly effective for respiratory motion modeling, and with their performance steadily improving, they demonstrate strong potential for advancing this field.
title Biophysics-Enhanced Neural Representations for Patient-Specific Respiratory Motion Modeling
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2603.22123