A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning
A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning
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DOI：
10.1088/0031-9155/48/21/005
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发表时间：
2003-11-07
影响因子：
3.5
通讯作者：
Li, JG
中科院分区：
文献类型：
--
作者：
Romeijn, HE;Ahuja, RK;Li, JG
我们提出了一种基于线性规划（LP）的新颖方法，用于有效解决调强放射治疗（IMRT）注量图优化（FMO）问题以实现全局最优。我们的模型通过分段线性凸函数逼近任何凸目标函数，克服了线性规划方法的明显局限性。这种方法使我们能够保留一般凸目标函数提供的灵活性，同时允许我们将 FMO 问题表述为 LP 问题。此外，还施加了一种新型的部分体积约束，该约束限制结构的差分剂量体积直方图的尾部平均值，同时保留线性度，作为改善目标体积中剂量均匀性的替代方法，并尝试尽可能多地保留关键结构。这项工作的目标是开发一种非常快速的全局优化方法，以找到高质量的剂量分布。该模型的实施已取得了良好的效果。我们在不使用部分体积约束的情况下，在单处理器个人计算机上用不到 3 分钟的计算时间找到了 8 个 7 光束头颈案例的全局最优解决方案。添加此类约束将运行时间增加了 2-3 倍，但提高了关键结构的利用率。所有病例均表现出出色的目标覆盖率（>95%）、目标均匀性（
We present a novel linear programming (LP) based approach for efficiently solving the intensity modulated radiation therapy (IMRT) fluence-map optimization (FMO) problem to global optimality. Our model overcomes the apparent limitations of a linear-programming approach by approximating any convex objective function by a piecewise linear convex function. This approach allows us to retain the flexibility offered by general convex objective functions, while allowing us to formulate the FMO problem as a LP problem. In addition, a novel type of partial-volume constraint that bounds the tail averages of the differential dose-volume histograms of structures is imposed while retaining linearity as an alternative approach to improve dose homogeneity in the target volumes, and to attempt to spare as many critical structures as possible. The goal of this work is to develop a very rapid global optimization approach that finds high quality dose distributions. Implementation of this model has demonstrated excellent results. We found globally optimal solutions for eight 7-beam head-and-neck cases in less than 3 min of computational time on a single processor personal computer without the use of partial-volume constraints. Adding such constraints increased the running times by a factor of 2-3, but improved the sparing of critical structures. All cases demonstrated excellent target coverage (>95%), target homogeneity (