Liu Dan, Chalkidou Anastasia, Landau David B, Marsden Paul K, Fenwick John D
Department of Oncology, University of Oxford, Old Road Campus Research Building, Roosevelt Drive, Oxford OX3 7DQ, United Kingdom.
Division of Imaging Sciences and Biomedical Engineering, School of Medicine, King's College London, St Thomas Hospital, Westminster Bridge Road, London SE1 7EH, United Kingdom.
Med Phys. 2014 Apr;41(4):041911. doi: 10.1118/1.4868462.
To analyze the kinetics of 3(')-deoxy-3(')-[F-18]-fluorothymidine (18F-FLT) uptake by head and neck squamous cell carcinomas and involved nodes imaged using positron emission tomography (PET).
Two- and three-tissue compartment models were fitted to 12 tumor time-activity-curves (TACs) obtained for 6 structures (tumors or involved nodes) imaged in ten dynamic PET studies of 1 h duration, carried out for five patients. The ability of the models to describe the data was assessed using a runs test, the Akaike information criterion (AIC) and leave-one-out cross-validation. To generate parametric maps the models were also fitted to TACs of individual voxels. Correlations between maps of different parameters were characterized using Pearson'sr coefficient; in particular the phosphorylation rate-constants k3-2tiss and k5 of the two- and three-tissue models were studied alongside the flux parameters KFLT- 2tiss and KFLT of these models, and standardized uptake values (SUV). A methodology based on expectation-maximization clustering and the Bayesian information criterion ("EM-BIC clustering") was used to distil the information from noisy parametric images.
Fits of two-tissue models 2C3K and 2C4K and three-tissue models 3C5K and 3C6K comprising three, four, five, and six rate-constants, respectively, pass the runs test for 4, 8, 10, and 11 of 12 tumor TACs. The three-tissue models have lower AIC and cross-validation scores for nine of the 12 tumors. Overall the 3C6K model has the lowest AIC and cross-validation scores and its fitted parameter values are of the same orders of magnitude as literature estimates. Maps of KFLT and KFLT- 2tiss are strongly correlated (r = 0.85) and also correlate closely with SUV maps (r = 0.72 for KFLT- 2tiss, 0.64 for KFLT). Phosphorylation rate-constant maps are moderately correlated with flux maps (r = 0.48 for k3-2tiss vs KFLT- 2tiss and r = 0.68 for k5 vs KFLT); however, neither phosphorylation rate-constant correlates significantly with SUV. EM-BIC clustering reduces the parametric maps to a small number of levels--on average 5.8, 3.5, 3.4, and 1.4 for KFLT- 2tiss, KFLT, k3-2tiss, and k5. This large simplification is potentially useful for radiotherapy dose-painting, but demonstrates the high noise in some maps. Statistical simulations show that voxel level noise degrades TACs generated from the 3C6K model sufficiently that the average AIC score, parameter bias, and total uncertainty of 2C4K model fits are similar to those of 3C6K fits, whereas at the whole tumor level the scores are lower for 3C6K fits.
For the patients studied here, whole tumor FLT uptake time-courses are represented better overall by a three-tissue than by a two-tissue model. EM-BIC clustering simplifies noisy parametric maps, providing the best description of the underlying information they contain and is potentially useful for radiotherapy dose-painting. However, the clustering highlights the large degree of noise present in maps of the phosphorylation rate-constantsk5 and k3-2tiss, which are conceptually tightly linked to cellular proliferation. Methods must be found to make these maps more robust-either by constraining other model parameters or modifying dynamic imaging protocols.
分析头颈部鳞状细胞癌及受累淋巴结摄取3('-)-脱氧-3('-)-[F-18]-氟胸苷(18F-FLT)的动力学,这些部位通过正电子发射断层扫描(PET)成像。
将二组织和三组织房室模型拟合到12条肿瘤时间-活性曲线(TAC),这些曲线来自于对5例患者进行的10项时长1小时的动态PET研究中成像的6个结构(肿瘤或受累淋巴结)。使用游程检验、赤池信息准则(AIC)和留一法交叉验证来评估模型描述数据的能力。为生成参数图,模型也被拟合到各个体素的TAC。使用Pearson相关系数r来表征不同参数图之间的相关性;特别地,研究了二组织和三组织模型的磷酸化速率常数k3-2tiss和k5以及这些模型的通量参数KFLT- 2tiss和KFLT,还有标准化摄取值(SUV)。一种基于期望最大化聚类和贝叶斯信息准则(“EM-BIC聚类”)的方法被用于从有噪声的参数图像中提取信息。
分别包含三个、四个、五个和六个速率常数的二组织模型2C3K和2C4K以及三组织模型3C5K和3C6K,对12条肿瘤TAC中的4条、8条、10条和11条通过了游程检验。对于12个肿瘤中的9个,三组织模型具有更低的AIC和交叉验证分数。总体而言,3C6K模型具有最低的AIC和交叉验证分数,其拟合参数值与文献估计值处于相同数量级。KFLT和KFLT- 2tiss图高度相关(r = 0.85),并且也与SUV图密切相关(KFLT- 2tiss的r = 0.72,KFLT的r = 0.64)。磷酸化速率常数图与通量图中度相关(k3-2tiss与KFLT- 2tiss的r = 0.48,k5与KFLT的r = 0.68);然而,两个磷酸化速率常数与SUV均无显著相关性。EM-BIC聚类将参数图简化为少量级别——KFLT- 2tiss、KFLT、k3-2tiss和k5的平均级别数分别为5.8、3.5、3.4和1.4。这种大幅简化对于放射治疗剂量描绘可能有用,但也表明某些图中存在高噪声。统计模拟表明,体素级噪声充分降低了由3C6K模型生成的TAC,以至于2C4K模型拟合的平均AIC分数、参数偏差和总不确定性与3C6K拟合的相似,而在整个肿瘤级别,3C6K拟合的分数更低。
对于此处研究的患者,三组织模型总体上比二组织模型能更好地表示整个肿瘤的FLT摄取时间过程。EM-BIC聚类简化了有噪声的参数图,能最好地描述它们所包含的潜在信息,并且对放射治疗剂量描绘可能有用。然而,聚类突出了磷酸化速率常数k5和k3-2tiss图中存在的大量噪声,这两个常数在概念上与细胞增殖紧密相关。必须找到方法使这些图更稳健——要么通过约束其他模型参数,要么修改动态成像方案。