Related Experiment Video
Updated: May 17, 2026

Contrast-Matching Detergent in Small-Angle Neutron Scattering Experiments for Membrane Protein Structural Analysis and Ab Initio Modeling
Published on: October 21, 2018
Interpolation of tabulated proton Bragg peaks
Benjamin M Clasie1, Jacob B Flanz, Hanne M Kooy
1Department of Radiation Oncology, Massachusetts General Hospital & Harvard Medical School, Boston, MA, USA. bclasie@partners.org
This study introduces an interpolation method for pencil beam scanning treatment planning databases. Using just three tabulated Bragg peaks improves dose calculation accuracy to within ±1% of maximum dose.
Area of Science:
- Medical Physics
- Radiation Oncology
Background:
- Treatment planning databases for pencil beam scanning (PBS) are essential for accurate radiation therapy.
- Large databases with high resolution Bragg peaks pose management and quality assurance challenges.
- Accurate dose calculations require precise representation of Bragg peaks, often necessitating high-resolution data.
Purpose of the Study:
- To develop and validate an approximate scaling function for interpolating between tabulated Bragg peaks.
- To determine the accuracy of this novel interpolation technique.
- To establish the minimum number of tabulated peaks required for accurate dose calculations in PBS.
Main Methods:
- Derivation of an approximate scaling function for Bragg peak interpolation.
- Evaluation of interpolation accuracy against tabulated data.
- Assessment of accuracy for varying numbers of tabulated mono-energetic Bragg peaks (N).
Main Results:
- The proposed scaling function enables accurate interpolation between tabulated Bragg peaks.
- An interpolation accuracy better than ±1% of the maximum dose was achieved.
- A minimum of three tabulated mono-energetic Bragg peaks (N=3) was found to be sufficient for this accuracy.
Conclusions:
- The developed interpolation method significantly enhances the efficiency of treatment planning databases.
- Utilizing N=3 tabulated peaks offers a practical balance between database size and dose calculation accuracy.
- This technique improves quality assurance and management of PBS treatment planning data.
More Related Videos
Related Concept Videos
¹H NMR: Complex Splitting
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied first.
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)
¹³C NMR: ¹H–¹³C Decoupling
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
Proton (¹H) NMR: Chemical Shift
Absorption signals of all the protium nuclei in a...
¹H NMR Signal Integration: Overview

