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Abstract：
The study aimed to develop a novel dose conversion platform by improving linear-quadratic (LQ) model to more accurately describe radiation response for high fraction/acute doses. This article modified the LQ model via piecewise fitting the biological dose curve using different fractionated dose and optimizing the consistency between mathematical model and experimental data to gain a more reasonable transform. That mathematical development of the LQ model further amended certain deviations of various cell curves with high doses and implied the rationality of the present model at low dose range. The modified biologically effective dose model that solved the dilemma of inaccurate LQ model had been used in comparing between hypofractionated and conventional fractioned dose. It has been verified that the calculated values are similar in the treatment of same efficacy, no matter what α/β is, and provided a more rational explanation for significant differences among various hypofractionations. The equivalent uniform dose based on the subsection function could represent arbitrary inhomogeneous dose distributions including high-dose fractions, providing a foundation for the implementation of detailed evaluation of different cell dose effects.
摘要：
该研究旨在通过改进线性二次（LQ）模型来开发一种新型的剂量转换平台，以更准确地描述高分数/急性剂量的辐射响应。本文通过分段拟合不同剂量的生物剂量曲线，并优化数学模型与实验数据的一致性，对LQ模型进行了修改，以获得更合理的变换。LQ模型的数学发展进一步修正了高剂量下各种细胞曲线的某些偏差，并暗示了本模型在低剂量范围内的合理性。改进的生物有效剂量模型解决了LQ模型不准确的困境，已用于比较低分割剂量和常规分割剂量。经验证，在相同疗效的治疗中，计算值相似，不管α/β是什么，并为各种低分割之间的显着差异提供了更合理的解释。基于分段函数的等效均匀剂量可以表示包括高剂量分数在内的任意不均匀剂量分布，为实施详细的不同细胞剂量效应评价提供了基础。
