Accounting for range uncertainties in the optimization of intensity modulated proton therapy
Accounting for range uncertainties in the optimization of intensity modulated proton therapy
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DOI：
10.1088/0031-9155/52/10/009
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发表时间：
2007-05-21
影响因子：
3.5
通讯作者：
Bortfeld, Thomas
中科院分区：
文献类型：
--
作者：
Unkelbach, Jan;Chan, Timothy C. Y.;Bortfeld, Thomas
针对强度调制质子治疗（IMPT）优化的治疗计划可能对范围变化敏感。当笔形射束的实际范围与假设范围不匹配时，剂量分布可能显著恶化。我们提出了两个治疗计划的IMPT的概念，将范围的不确定性的优化。第一种方法是概率方法。假设笔形射束的射程是随机变量，这使得递送剂量和目标函数的值也是随机变量。然后，我们建议优化目标函数的期望值。第二种方法是一个强大的配方，适用于强大的线性规划领域开发的方法。假设笔形射束的范围可能在某个间隔内变化，该方法优化了可能发生的最坏情况剂量分布。这两种方法产生的治疗计划，是相当不敏感的范围变化相比，传统的治疗计划优化，而不占范围的不确定性。此外，这两种方法虽然概念不同，但在定性层面上产生了非常相似的结果。
Treatment plans optimized for intensity modulated proton therapy (IMPT) may be sensitive to range variations. The dose distribution may deteriorate substantially when the actual range of a pencil beam does not match the assumed range. We present two treatment planning concepts for IMPT which incorporate range uncertainties into the optimization. The first method is a probabilistic approach. The range of a pencil beam is assumed to be a random variable, which makes the delivered dose and the value of the objective function a random variable too. We then propose to optimize the expectation value of the objective function. The second approach is a robust formulation that applies methods developed in the field of robust linear programming. This approach optimizes the worst case dose distribution that may occur, assuming that the ranges of the pencil beams may vary within some interval. Both methods yield treatment plans that are considerably less sensitive to range variations compared to conventional treatment plans optimized without accounting for range uncertainties. In addition, both approaches-although conceptually different-yield very similar results on a qualitative level.