Roux J C, Lachet B
Radiat Environ Biophys. 1976 Oct 7;13(3):177-86. doi: 10.1007/BF01330762.
The survival curves obtained when cellular recovery follows various first radiation dose deliveries DI seem, when semi-logarithmically plotted, to be translated from the part of the curve corresponding to an unfractionated irradiation beyond a dose DR. A possible assumption consistent with such experimental observations is proposed which allows the generalization of any survival model S = f (D). The derived equation S = f (DR + D - DI) f (DI)/f (DR) is convenient for the whole family of experimental survival curves involving cellular damage repairs when the first radiation doses vary. All the parameters of the family equation can be simultaneously fitted so that their reliability is increased. The generalized equations are given for the four following models: two-hits targets, Chadwick and Leenhouts, Green and Burki, Wideröe. As an example, the Chadwick and Leenhouts generalized model parameters are fitted to a family of experimental survival curves concerning Chlorella cells exposed to fractionated and continuous gamma irradiation. The fittings are presented with their confidence limits and are briefly discussed.
当细胞恢复情况随不同的首次辐射剂量D1变化时所得到的存活曲线，在进行半对数绘图时，似乎是从对应于无分割照射且超过剂量DR的那部分曲线平移而来。提出了一个与这类实验观察结果相符的可能假设，这使得任何存活模型S = f (D)得以推广。当首次辐射剂量变化时，所推导的方程S = f (DR + D - D1) f (D1)/f (DR)对于涉及细胞损伤修复的整个实验存活曲线族很方便。该族方程的所有参数可以同时拟合，从而提高其可靠性。给出了以下四个模型的广义方程：双靶模型、查德威克和莱恩胡茨模型、格林和伯基模型、维德罗模型。作为一个例子，将查德威克和莱恩胡茨广义模型参数拟合到一组关于小球藻细胞经分割和连续伽马照射的实验存活曲线。给出了拟合结果及其置信限并进行了简要讨论。
