EQUIVALENT UNIFORM DOSE SENSITIVITY TO CHANGES IN ABSORBED DOSE DISTRIBUTION

作     者：FRANCISCO CUTANDA-HENRIQUEZ SILVIA VARGAS-CASTRILLON 

作者机构：Hospital General Universitario Gregorio Mara~Sn Calle Doctor Esquerdo 46 28007 Madrid Spain Universidad Politdcnica de Madrid Ciudad Universitaria s/n 28040 Madrid Spain 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2013年第6卷第1期

页      面：129-142页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：剂量分布 吸收剂量 均匀 敏感度 等价 生物学指标 评估工具 生物效应 

摘      要：Treatment planning in external beam radiation therapy (EBRT) utilizes dose volume histograms (DVHs) as optimization and evaluation tools. They present the fraction of planning target volume (PTV) receiving more than a given absorbed dose, against the absorbed dose values, and a number of radiobiological indices can be computed with their help. Equivalent uniform dose (EUD) is the absorbed dose that, uniformly imparted, would yield the same biological effect on a tumor as the dose distribution described by the DVH. Uncertainty and missing information can affect the dose distribution, therefore DVHs can be modeled as samples from a set of possible outcomes. This work studies the sensitivity of the EUD index when a small change in absorbed dose distribution takes place. EUD is treated as a functional on the set of DVHs. Defining a Lévy distance on this set and using a suitable expansion of the functional, a very simple expression for a bound on the variation of EUD when the dose distribution changes is found. This bound is easily interpreted in terms of standard treatment planning practice.