论文标题

一个简单的循环缺氧的数学模型及其对降低放射治疗的影响

A simple mathematical model of cyclic hypoxia and its impact on hypofractionated radiotherapy

论文作者

Taylor, Edward

论文摘要

有证据表明,经历氧气水平波动的细胞种群比慢性缺氧的细胞更受放射耐药性,因此,该种群可能决定放疗(RT)反应,特别是对于低分分解的RT而言,RexygeAgenation可能不会那么明显。已经大量努力研究了缺氧对降低RT的影响。但是,专门对环状缺氧的关注少得多,其动力学在确定这些治疗的功效方面所起的作用。在这里,制定了一个简单的循环缺氧和分馏效应的数学模型来量化这一点。使用线性二次模型估算癌症克隆的存活分数,以说明氧气增强效应和分割组织间的氧气动力学。所得的生存分数公式用于得出ISO-Survival生物学有效剂量的表达式,$ \ bedeff $。这些是针对某些常见的颅外级放射治疗方案计算的。使用相关的文献参数值,发现氧合中的分裂间波动可导致在相同的名义生物学上有效剂量的相同名称生物学有效剂量中,从五个馏分到一个分数增加了克隆生成分数的1-2 logs。对于给定肿瘤部位中大多数超高级(五个或更少的分数)方案的$ \ bedeff $在大小上是相似的,这表明对于常见分馏时间表的ISO效能感。尽管很重要,但基于馏分之间完全二合时的假设,杀死细胞的损失随升高而增加的损失不如先前的估计。目前到位的大多数超高级别的方案都提供了足够高的剂量来应对这种细胞杀戮的丧失,尽管在实施单分数方案时应注意。

There is evidence that the population of cells that experience fluctuating oxygen levels are more radioresistant than chronically hypoxic ones and hence, this population may determine radiotherapy (RT) response, in particular for hypofractionated RT, where reoxygenation may not be as prominent. A considerable effort has been devoted to examining the impact of hypoxia on hypofractionated RT; however, much less attention has been paid to cyclic hypoxia specifically and the role its kinetics may play in determining the efficacy of these treatments. Here, a simple mathematical model of cyclic hypoxia and fractionation effects was worked out to quantify this. Cancer clonogen survival fraction was estimated using the linear quadratic model, modified to account for oxygen enhancement effects and inter-fraction tissue oxygen kinetics. The resulting survival fraction formula was used to derive an expression for the iso-survival biologically effective dose, $\bedeff$. These were computed for some common extra-cranial hypofractionated radiotherapy regimens. Using relevant literature parameter values, inter-fraction fluctuations in oxygenation were found to result in an added 1-2 logs of clonogen survival fraction in going from five fractions to one for the same nominal biologically effective dose. $\bedeff$'s for most ultra-hypofractionated (five or fewer fractions) regimens in a given tumour site are similar in magnitude, suggesting iso-efficacy for common fractionation schedules. Although significant, the loss of cell-killing with increasing hypofractionation is not nearly as large as previous estimates based on the assumption of complete reoxygenation between fractions. Most ultra-hypofractionated regimens currently in place offer sufficiently high doses to counter this loss of cell killing, although care should be taken in implementing single-fraction regimens.

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