Shelling Tumors with Caution and Wiggles
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چکیده
We discuss a simple model for tumor growth, which results in realistic tumor shapes. We then address the question of efficient irradiation of tumors in terms of packing their volume with disjoint spheres of given radii. We develop three algorithms, based on a shelling method, which give recommendations for optimal sphere packings. These packings are interpreted as treatment plans, and the corresponding radiation dosages are analyzed for various qualities. We analyze the effectiveness of our algorithms in recommending optimal dosage plans. Several problems with the algorithms are addressed. Finally, we conclude that all of our algorithms have a common difficulty covering very large tumors, and that while one of our algorithms is effective as a means of packing the volume with spheres, it does not translate into an efficient treatment plan. Team #25 Page 2 of 14
منابع مشابه
Shelling Tumors with Caution and Wiggles
We discuss a simple model for tumor growth, which results in realistic tumor shapes. We present three variants of an algorithm for packing a three dimensional volume with a finite number of disjoint spherical volumes, of given diameters. We apply our algorithm to packing spherical shots into tumors that we have generated, and analyze the effectiveness of the algorithm in filling the tumor volum...
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