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The radiation therapy planning problem. (English) Zbl 0972.92015

Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17-21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 1-16 (1999).
From the introduction: The use of \(X\)-rays for cancer therapy began a few days after their discovery. Wilhelm Röntgen announced the discovery of \(X\)-rays on December 28, 1895, and Emil Grubbe used them for cancer therapy on January 12, 1896. \(X\)-rays are still the most common form of radiation used for cancer therapy, but beams of electrons, protons, neutrons, and other particles are used as well. The planning of the radiation treatment of a tumor begins with the creation of a three-dimensional image of the tumor and surrounding healthy tissue, using techniques such as computed tomography or MRI. The treatment planning discussed in this article occurs after the imaging is completed. It involves substantial use of computational algorithms.
For the entire collection see [Zbl 0915.00045].

MSC:

92C50 Medical applications (general)
92C05 Biophysics
49N90 Applications of optimal control and differential games