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SUMMARY:Covering problems arising in Gamma Knife radiosurgery - Leo Libert
 i\, CNRS/Ecole Polytechnique
DTSTART:20120203T100000Z
DTEND:20120203T110000Z
UID:TALK35448@talks.cam.ac.uk
CONTACT:Microsoft Research Cambridge Talks Admins
DESCRIPTION:A widespread technology for curing brain tumours is the so-cal
 led "Gamma Knife". This relies on irradiating the tumour with gamma radiat
 ion so as to kill cancerous cells. The problem is that the 3D shape of tum
 ours might be arbitrary\, but the gamma radiation hits a spherical volume.
  Radiation intensity depends on the sphere radius and also on the length o
 f irradiation. The gamma knife machine requires a parametrization in both 
 senses: choice of spherical radii\, positions of sphere centers\, and choi
 ce of irradiation time. Optimally deciding the value of these parameters r
 equires the solution of a complex Mixed-Integer Nonlinear Problem. We look
  at the sphere covering subproblem\, and suggest some possible solution me
 thods for regularly (but\, alas\, irrealistically) shaped tumours.
LOCATION:Primrose Room\, Microsoft Research Ltd\, 7 J J Thomson Avenue (Of
 f Madingley Road)\, Cambridge
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