School of Chemical Engineering, Purdue University, W. Lafayette, IN 47907, USA.
Health Care Manag Sci. 2012 Jun;15(2):138-54. doi: 10.1007/s10729-012-9190-2. Epub 2012 Jan 10.
This paper proposes a novel mathematical approach to the beam selection problem in intensity modulated radiation therapy (IMRT) planning. The approach allows more beams to be used over the course of therapy while limiting the number of beams required in any one session. In the proposed field rotation method, several sets of beams are interchanged throughout the treatment to allow a wider selection of beam angles than would be possible with fixed beam orientations. The choice of beamlet intensities and the number of identical fractions for each set are determined by a mixed integer linear program that controls jointly for the distribution per fraction and the cumulative dose distribution delivered to targets and critical structures. Trials showed the method allowed substantial increases in the dose objective and/or sparing of normal tissues while maintaining cumulative and fraction size limits. Trials for a head and neck site showed gains of 25%-35% in the objective (average tumor dose) and for a thoracic site gains were 7%-13%, depending on how strict the fraction size limits were set. The objective did not rise for a prostate site significantly, but the tolerance limits on normal tissues could be strengthened with the use of multiple beam sets.
本文提出了一种新的数学方法来解决调强放射治疗(IMRT)计划中的射束选择问题。该方法允许在治疗过程中使用更多的射束,同时限制每次治疗所需的射束数量。在所提出的射束场旋转方法中,在整个治疗过程中交换多组射束,以允许选择比固定射束方向更宽的射束角度。射束分束强度和每组相同部分的数量是通过混合整数线性规划来确定的,该规划联合控制每个部分的分布和靶区和关键结构的累积剂量分布。试验表明,该方法允许在保持累积和部分大小限制的同时,显著增加剂量目标和/或正常组织的保护。对头颈部部位的试验显示,目标(平均肿瘤剂量)增加了 25%-35%,对于胸部部位,目标增加了 7%-13%,具体取决于部分大小限制设置的严格程度。对于前列腺部位,目标没有显著增加,但使用多组射束可以加强对正常组织的耐受限制。