Analytical model for ion stopping power and range in the therapeutic energy interval for beams of hydrogen and heavier ions
| Autor: | William P Donahue, Wayne D. Newhauser, J. F. Ziegler |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Range (particle radiation) Radiological and Ultrasound Technology Computation Heavy Ion Radiotherapy Models Theoretical 01 natural sciences Charged particle 030218 nuclear medicine & medical imaging Computational physics Numerical integration Ion 03 medical and health sciences 0302 clinical medicine Simple (abstract algebra) 0103 physical sciences Proton Therapy Memory footprint Stopping power (particle radiation) Radiology Nuclear Medicine and imaging Atomic physics 010306 general physics |
| Zdroj: | Physics in Medicine and Biology. 61:6570-6584 |
| ISSN: | 1361-6560 0031-9155 |
| Popis: | Many different approaches exist to calculate stopping power and range of protons and heavy charged particles. These methods may be broadly categorized as physically complete theories (widely applicable and complex) or semi-empirical approaches (narrowly applicable and simple). However, little attention has been paid in the literature to approaches that are both widely applicable and simple. We developed simple analytical models of stopping power and range for ions of hydrogen, carbon, iron, and uranium that spanned intervals of ion energy from 351 keV u(-1) to 450 MeV u(-1) or wider. The analytical models typically reproduced the best-available evaluated stopping powers within 1% and ranges within 0.1 mm. The computational speed of the analytical stopping power model was 28% faster than a full-theoretical approach. The calculation of range using the analytic range model was 945 times faster than a widely-used numerical integration technique. The results of this study revealed that the new, simple analytical models are accurate, fast, and broadly applicable. The new models require just 6 parameters to calculate stopping power and range for a given ion and absorber. The proposed model may be useful as an alternative to traditional approaches, especially in applications that demand fast computation speed, small memory footprint, and simplicity. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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