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UID:4704@test.i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170328T110000
DTEND;TZID=Europe/Paris:20170328T120000
DTSTAMP:20170313T100000Z
URL:https://test.i2m.univ-amu.fr/events/angular-moment-models-for-radiothe
rapy-dose-computation-and-optimization/
SUMMARY:Angular moment models for radiotherapy dose computation and optimiz
ation -
DESCRIPTION:Radiotherapy treatments consist in irradiating the patient with
beams of energetic particles (typically photons) targeting the tumor. Suc
h particles are transported through the medium deposit energy in the mediu
m. This deposited energy is the so-called dose\, responsible for the biolo
gical effect of the radiations.The present work aim to develop numerical m
ethods for dose computation and optimization that are competitive in terms
of computational cost and accuracy compared to reference method.The motio
n of particles is first studied through a system of linear transport equat
ions at the kinetic level. Then the method of moment is used to reduce the
computational costs leading to the so-called M_N models.Standard numerica
l schemes for moment equations are constrained by stability conditions whi
ch happen to be very restrictive when the medium contains low density regi
ons. Inconditionally stable numerical schemes adapted to moment equations
are developed. https://www.ljll.math.upmc.fr/pichard/
CATEGORIES:Séminaire Analyse Appliquée (AA)
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DTSTART:20170326T030000
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