论文标题
放射治疗中的最佳剂量校准
Optimal dose calibration in radiotherapy
论文作者
论文摘要
在本文中，最佳实验设计理论提供的工具应用于非线性校准模型。这是由于需要使用放射治疗目的的放射性膜估算辐射剂量的动机。在这种情况下，校准模型是非线性的，解释变量无法从模型中明确处理。在这种情况下，必须在因变量上找到实验设计。为此，将使用逆函数定理来获取要优化的信息矩阵。响应变量上的最佳设计是从两个不同的角度计算的，首先是为了拟合模型并估算每个参数，然后预测适用于患者的适当剂量。虽然第一个是最佳实验设计的一般环境中的一个共同观点，但后者实际上是从业人员的校准问题的主要目标，也提供了计算这些最佳设计的算法。
In this paper, the tools provided by the theory of Optimal Experimental Design are applied to a nonlinear calibration model. This is motivated by the need of estimating radiation doses using radiochromic films for radiotherapy purposes. The calibration model is in this case nonlinear and the explanatory variable cannot be worked out explicitly from the model. In this case an experimental design has to be found on the dependent variable. For that, the inverse function theorem will be used to obtain an information matrix to be optimized. Optimal designs on the response variable are computed from two different perspectives, first for fitting the model and estimating each of the parameters and then for predicting the proper dose to be applied to the patient. While the first is a common point of view in a general context of the Optimal Experimental Design, the latter is actually the main objective of the calibration problem for the practitioners and algorithms for computing these optimal designs are also provided.
