A Positivity-Preserving Finite Element Framework for Accurate Dose Computation in Proton Therapy
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913870169243648 |
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| author | Ashby, Ben S. Hamdan, Abdalaziz Pryer, Tristan |
| author_facet | Ashby, Ben S. Hamdan, Abdalaziz Pryer, Tristan |
| contents | We present a stabilised finite element method for modelling proton transport in tissue, incorporating both inelastic energy loss and elastic angular scattering. A key innovation is a positivity-preserving formulation that guarantees non-negative fluence and dose, even on coarse meshes. This enables reliable computation of clinically relevant quantities for treatment planning. We derive a priori error estimates demonstrating optimal convergence rates and validate the method through numerical benchmarks. The proposed framework provides a robust, accurate and efficient tool for advancing proton beam therapy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Positivity-Preserving Finite Element Framework for Accurate Dose Computation in Proton Therapy Ashby, Ben S. Hamdan, Abdalaziz Pryer, Tristan Numerical Analysis Medical Physics We present a stabilised finite element method for modelling proton transport in tissue, incorporating both inelastic energy loss and elastic angular scattering. A key innovation is a positivity-preserving formulation that guarantees non-negative fluence and dose, even on coarse meshes. This enables reliable computation of clinically relevant quantities for treatment planning. We derive a priori error estimates demonstrating optimal convergence rates and validate the method through numerical benchmarks. The proposed framework provides a robust, accurate and efficient tool for advancing proton beam therapy. |
| title | A Positivity-Preserving Finite Element Framework for Accurate Dose Computation in Proton Therapy |
| topic | Numerical Analysis Medical Physics |
| url | https://arxiv.org/abs/2506.01105 |