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UID:1668@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170328T110000
DTEND;TZID=Europe/Paris:20170328T120000
DTSTAMP:20170313T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/angular-moment-models-for-radio
 therapy-dose-computation-and-optimization/
SUMMARY: (...): Angular moment models for radiotherapy dose computation and
  optimization
DESCRIPTION:: Radiotherapy treatments consist in irradiating the patient wi
 th beams of energetic particles (typically photons) targeting the tumor. S
 uch particles are transported through the medium deposit energy in the med
 ium. This deposited energy is the so-called dose\, responsible for the bio
 logical effect of the radiations.The present work aim to develop numerical
  methods for dose computation and optimization that are competitive in ter
 ms of computational cost and accuracy compared to reference method.The mot
 ion of particles is first studied through a system of linear transport equ
 ations at the kinetic level. Then the method of moment is used to reduce t
 he computational costs leading to the so-called M_N models.Standard numeri
 cal schemes for moment equations are constrained by stability conditions w
 hich happen to be very restrictive when the medium contains low density re
 gions. Inconditionally stable numerical schemes adapted to moment equation
 s are developed. https://www.ljll.math.upmc.fr/pichard/
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20170326T030000
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