论文标题
一种新型的分析人群TCP模型包括细胞密度和体积变化：应用于犬脑肿瘤
A novel analytical population TCP model includes cell density and volume variations: application to canine brain tumor
论文作者
论文摘要
基于泊松统计的TCP模型正在表征幸存的克隆人的分布。它可以为个体计算TCP。为了描述临床观察到的患者队列的生存数据，有必要扩展模型。这通常是通过合并各种模型参数的变化或使用经验逻辑模型来完成的。这项工作的目的是通过泊松模型的机械扩展来开发分析种群TCP模型。GTVS的频率分布用于将肿瘤体积变化纳入TCP模型。另外，肿瘤细胞密度变化均合并。种群TCP模型的两个版本都适合于临床数据，并与文献进行了比较。结果表明，接受放射疗法的狗的脑肿瘤体积呈指数分布。平均GTV尺寸为3.37 cm $^3 $。安装人口TCP模型，其中包括量变化LQ和轨道事件模型产生$α= 0.36〜Gy^{ - 1} $，$β= 0.045〜Gy^{ - 2} $，$ a = 0.9 $，$ t_d = 5.0〜d $和$ $ a = 0.80 $，$ t_d = 3.0〜D $。安装包括体积和细胞密度变化的人口TCP模型会产生$α= 0.43〜gy^{ - 1} $，$β= 0.0537〜Gy^{ - 2} $，$ a = 2.0 $，$ t_d = 3.0〜d $，$ t = 3.0〜d $，$ p $，$ 0 $ q = 0.55〜Gy^{ - 1} $，$ a = 2.0 $，$ t_d = 2.0〜d $，$σ= 3.0 $。获得了两组放射性生物学参数，可用于量化TCP用于狗脑肿瘤的放射治疗。我们建立了基于泊松统计的单个TCP模型和Logistic TCP模型之间的机械联系。该链接可用于确定来自逻辑模型已发表的拟合到患者的患者特定TCP模型的放射生物学参数。
TCP models based on Poisson statistics are characterizing the distribution of the surviving clonogens. It enables the calculation of TCP for individuals. In order to describe clinically observed survival data of patient cohorts it is necessary to extend the model. This is typically done by either incorporating variations of various model parameters, or by using an empirical logistic model. The purpose of this work is the development of an analytical population TCP model by mechanistic extension of the Poisson model.The frequency distribution of GTVs is used to incorporate tumor volume variations into the TCP model. Additionally the tumor cell density variation is incorporated. Both versions of the population TCP model were fitted to clinical data and compared to literature. It was shown that clinically observed brain tumor volumes of dogs undergoing radiotherapy are exponentially distributed. The average GTV size was 3.37 cm$^3$. Fitting the population TCP model including the volume variation LQ and track-event model yielded $α=0.36 ~Gy^{-1}$, $β=0.045~Gy^{-2}$, $a=0.9$, $T_D=5.0~d$ and $p = 0.36~Gy^{-1}$, $q=0.48~Gy^{-1}$, $a=0.80$, $T_D = 3.0~d$, respectively. Fitting the population TCP model including both the volume and cell density variation yields $α=0.43~Gy^{-1}$, $β=0.0537~Gy^{-2}$, $a=2.0$, $T_D=3.0~d$, $σ=2.5$ and $p=0.43~ Gy^{-1}$, $q=0.55~Gy^{-1}$, $a=2.0$, $T_D=2.0~d$, $σ=3.0$ respectively. Two sets of radiobiological parameters were obtained which can be used for quantifying the TCP for radiation therapy of dog brain tumors. We established a mechanistic link between the poisson statistics based individual TCP model and the logistic TCP model. This link can be used to determine the radiobiological parameters of patient specific TCP models from published fits of logistic models to cohorts of patients.
