A Positivity-Preserving Finite Element Framework for Accurate Dose Computation in Proton Therapy
By: Ben S. Ashby, Abdalaziz Hamdan, Tristan Pryer
Potential Business Impact:
Makes cancer treatment with protons more accurate.
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.
Similar Papers
Geometry, Energy and Sensitivity in Stochastic Proton Dynamics
Numerical Analysis
Helps doctors aim radiation beams more precisely.
A Unified Framework from Boltzmann Transport to Proton Treatment Planning
Probability
Improves cancer treatment planning with math.
Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model
Numerical Analysis
Simulates super-fast, energetic space stuff accurately.