A new inverse planning formalism with explicit DVH constraints and kurtosis-based dosimetric criteria

A new inverse planning formalism with explicit DVH constraints and kurtosis-based dosimetric criteria
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一种新的逆向规划形式,具有明确的 DVH 约束和基于峰度的剂量标准

DOI:
10.1088/1361-6560/aadb3a
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发表时间:
2018
影响因子:
3.5
通讯作者:
Lu, Bo
Lu, Bo
中科院分区:
工程技术2区
文献类型:
--
作者:
Liu, Hongcheng;Chen, Yunmei;Lu, Bo

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在放射治疗的逆向计划过程中,剂量-体积直方图(DVH)通常被用作计划质量的衡量标准。dvh的精确数学公式涉及二元变量,因此本质上是非凸的。鉴于由此产生的计算困难,现有的治疗计划系统采用凸代理模型,涉及许多参数。然后需要手动调整参数,以确定这些参数的合理值,从而生成满足目标dvh的计划。然而,逆规划的传统凸公式与精确公式有很大的不同,因此只能对dvh提供非常有限的控制。鉴于这一局限性,本文提出了一种新的基于折叠凹罚(FCP)约束和基于峰度的优化准则相结合的公式。前者比现有的对应方法更接近确切的DVH约束,而后者则抑制了剂量分布中热点和冷点的出现。与传统的基于dvh的方案相比,我们研究了拟议的规划方案在三个头颈病例中的有效性。通过所提出的方案,在更好地分配体积剂量方面取得了显著的优势。
In inverse planning processes of radiotherapy, dose-volume histograms (DVH) have been commonly used as a measure of plan quality. The exact mathematical formulation of DVHs involves binary variables and is therefore intrinsically nonconvex. In view of the resulting computational intractability, existing treatment planning systems adopt convex surrogate models that involve many parameters. Manual parameter tweaking is then required to determine reasonable values for those parameters in order to generate plans that meet the target DVHs. However, conventional convex formulations for inverse planning entails non-trivial differences from an exact formulation and, therefore, provide only very limited control over the DVHs. In view of this limitation, this paper presents a new formulation that combines a novel folded concave penalty (FCP)-based constraint and a new kurtosis-based optimization criterion. The former presents a much sharper approximation to the exact DVH constraints than the existing counterparts, and the latter penalizes the occurrence of hot and cold spots in dose distributions. We investigated the effectiveness of the proposed planning formulations on three head-and-neck cases in comparison with conventional DVH-based formulations. Significant outperformance in terms of better distributed doses-at-volume was achieved through the proposed scheme.
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