| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
A novel approach of using nonlinear differential equations for solving box-constrained inverse problems in intensity-modulated radiation therapy (IMRT) treatment planning was proposed, and it was investigated through theoretical analysis, numerical analysis, creation of a prototype consisting of analog electronic circuits, and numerical experiments using phantom data simulating a clinical setup. Moreover, we presented a non-negatively constrained iterative method formulated by discretizing a differential equation in the continuous method. We give proofs for the convergence of a desired solution in the continuous and its discretized system, theoretically. When the IMRT inverse problem is well-posed, the proposed methods always provide an IMRT plan that exactly satisfies preset dose limits after sufficient time passage or iteration.
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