Semi-empirical formulation of multiple scattering for Gaussian beam model of heavy charged particles stopping in tissue-like matter

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dc.creatorKanematsu, Nobuyuki
dc.date2008-10-08
dc.date2008-12-13
dc.date.accessioned2026-07-07T12:36:18Z
dc.date.available2026-07-07T12:36:18Z
dc.descriptionDose calculation for radiotherapy with protons and heavier ions deals with a large volume of path integrals involving a scattering power of body tissue. This work provides a simple model for such demanding applications. There is an approximate linearity between RMS end-point displacement and range of incident particles in water, empirically found in measurements and detailed calculations. This fact was translated into a simple linear formula, from which the scattering power that is only inversely proportional to residual range was derived. The simplicity enabled analytical formulation for ions stopping in water, which was designed to be equivalent with the extended Highland model and agreed with measurements within 2% or 0.02 cm in RMS displacement. The simplicity will also improve the efficiency of numerical path integrals in the presence of heterogeneity.
dc.description6 pages, 3 figures, submitted to Physics in Medicine and Biology
dc.identifierhttps://arxiv.org/abs/0810.1390
dc.identifierhttp://arxiv.org/abs/0810.1390
dc.identifierPhys. Med. Biol. 54 (2009) N67-N73
dc.identifierdoi:10.1088/0031-9155/54/5/N01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218049
dc.subjectMedical Physics
dc.titleSemi-empirical formulation of multiple scattering for Gaussian beam model of heavy charged particles stopping in tissue-like matter
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