1997
DOI: 10.1016/s0360-3016(97)00305-2
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Clinical treatment planning optimization by powell's method for gamma unit treatment system

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Cited by 20 publications
(21 citation statements)
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“…Other researchers have designed Gamma Knife treatments with various optimization schemes [5,13,14,15,16,18,19,20,21]. Several investigators model the problem as a geometric problem, where optimum shots fall along a skeletonization of the lesion [1,2,18].…”
Section: Introductionmentioning
confidence: 99%
“…Other researchers have designed Gamma Knife treatments with various optimization schemes [5,13,14,15,16,18,19,20,21]. Several investigators model the problem as a geometric problem, where optimum shots fall along a skeletonization of the lesion [1,2,18].…”
Section: Introductionmentioning
confidence: 99%
“…6, 12 The use of a modified Powell's method in conjunction with simulated annealing has also been proposed. [8][9][10][11] This paper addresses a different approach where the dose distribution is modeled and a formal constrained optimization is used to determine the treatment plan. With this technique, the shot sizes, locations, and weights are optimized simultaneously.…”
Section: Introductionmentioning
confidence: 99%
“…[6][7][8][9][10][11][12] One approach incorporates the assumption that each shot of radiation can be modeled as a rigid sphere. The problem is then reduced to one of geometric coverage, and a ball packing approach can be used to determine the shot locations and sizes.…”
Section: Introductionmentioning
confidence: 99%
“…[8][9][10][11] This paper addresses a different approach where the dose distribution is modeled and a formal constrained optimization is used to determine the treatment plan. With this technique, the shot sizes, locations, and weights are optimized simultaneously.…”
Section: Introductionmentioning
confidence: 99%