TY - GEN
T1 - On the transverse diffusion of beams of photons in radiation therapy
AU - Brull, S.
AU - Dubroca, B.
AU - Frank, M.
AU - Pichard, T.
N1 - Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - Typical external radiotherapy treatments consist in emitting beams of energetic photons targeting the tumor cells. Those photons are transported through the medium and interact with it. Such interactions affect the motion of the photons but they are typically weakly deflected which is not well modeled by standard numerical methods. The present work deals with the transport of photons in water. The motion of those particles is modeled by an entropy-based moment model, i.e., the M1 model. The main difficulty when constructing numerical approaches for photon beam modeling emerges from the significant difference of magnitude between the diffusion effects in the forward and transverse directions. A numerical method for the M1 equations is proposed with a special focus on the numerical diffusion effects.
AB - Typical external radiotherapy treatments consist in emitting beams of energetic photons targeting the tumor cells. Those photons are transported through the medium and interact with it. Such interactions affect the motion of the photons but they are typically weakly deflected which is not well modeled by standard numerical methods. The present work deals with the transport of photons in water. The motion of those particles is modeled by an entropy-based moment model, i.e., the M1 model. The main difficulty when constructing numerical approaches for photon beam modeling emerges from the significant difference of magnitude between the diffusion effects in the forward and transverse directions. A numerical method for the M1 equations is proposed with a special focus on the numerical diffusion effects.
KW - Entropy-based moment model
KW - Photon beam modeling Transverse diffusion
U2 - 10.1007/978-3-319-91548-7_35
DO - 10.1007/978-3-319-91548-7_35
M3 - Conference contribution
AN - SCOPUS:85049419742
SN - 9783319915470
T3 - Springer Proceedings in Mathematics and Statistics
SP - 465
EP - 477
BT - Theory, Numerics and Applications of Hyperbolic Problems II
A2 - Westdickenberg, Michael
A2 - Klingenberg, Christian
PB - Springer New York LLC
T2 - 16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016
Y2 - 1 August 2016 through 5 August 2016
ER -