McCalla Aliah, Wang Mengyu, Eslami Mohammad, Kazeminasab Saber, Luo Yan, Rana Hannah, Saha Sajib, Shi Min, Tian Yu, Zebardast Nazlee, Elze Tobias
Schepens Eye Research Institute of Mass Eye and Ear, Harvard Medical School, Boston, Massachusetts, USA.
Department of Ophthalmology, Massachusetts Eye and Ear/Mass General Brigham, Harvard Medical School, Boston, Massachusetts, USA.
Transl Vis Sci Technol. 2025 Apr 1;14(4):17. doi: 10.1167/tvst.14.4.17.
To model the association between vertical cup-to-disc ratio (CDR) and clinically relevant glaucomatous outcomes.
From a tertiary glaucoma clinic, clinician-estimated CDR, CDR derived from peripapillary optical coherence tomography scans, circumpapillary retinal nerve layer thickness, optic disc diameter, visual field (VF) mean deviation (MD), glaucoma hemifield test (GHT), and VF index were used to develop sigmoidal regression models of CDR, analyzed for floor/ceiling effects of functional or structural damage by model comparisons based on logarithms of Bayes factors (logBF, with logBF > 5 indicating very strong evidence).
We selected 17,509 eyes of 10,420 patients. For all outcomes, there was strong evidence for sigmoidal regression compared with linear regression (all logBF > 650). Model fits were characterized by plateauing for CDR toward 0, with ceilings for functional outcomes below the values denoting normal VFs (MD = 0 and VF index = 100). The clinician-estimated CDR was stronger associated with functional outcomes (all logBFs > 347) and optical coherence tomography-measured CDR with retinal nerve layer thickness (logBF = 243). Areas under the receiver operator characteristic curve for abnormal MD and GHT vs. CDR were 0.626 and 0.653, respectively. Optic disc diameter only marginally improved predictability (areas under the receiver operator characteristic curve increase for abnormal MD/GHT: 0.001/0.006).
CDR is subject to ceiling effects for glaucoma-related outcomes and poor at discriminating early glaucomatous damage. CDR values should be interpreted with care, particularly in screening settings.
This interpretable nonlinear model helps to better explain specific impacts on and limitations of CDR, one of the most frequently recorded parameters for glaucoma diagnostics.
建立垂直杯盘比(CDR)与临床相关青光眼结局之间的关联模型。
在一家三级青光眼诊所,采用临床医生估计的CDR、基于视乳头周围光学相干断层扫描获得的CDR、视乳头周围视网膜神经纤维层厚度、视盘直径、视野(VF)平均偏差(MD)、青光眼半视野检测(GHT)以及VF指数来建立CDR的S形回归模型,并通过基于贝叶斯因子对数(logBF,logBF>5表示非常有力的证据)的模型比较分析功能或结构损伤的地板/天花板效应。
我们选取了10420例患者的17509只眼睛。对于所有结局,与线性回归相比,有强有力的证据支持S形回归(所有logBF>650)。模型拟合的特点是CDR趋向于0时出现平台期,功能结局的天花板效应低于表示正常视野的值(MD=0且VF指数=100)。临床医生估计的CDR与功能结局的相关性更强(所有logBF>347),而光学相干断层扫描测量的CDR与视网膜神经纤维层厚度的相关性更强(logBF=243)。异常MD和GHT与CDR的受试者操作特征曲线下面积分别为0.626和0.653。视盘直径仅略微提高了预测能力(异常MD/GHT的受试者操作特征曲线下面积增加:0.001/0.006)。
CDR在青光眼相关结局方面存在天花板效应,且在鉴别早期青光眼损伤方面较差。CDR值的解释应谨慎,尤其是在筛查环境中。
这个可解释的非线性模型有助于更好地解释对CDR的具体影响和局限性,CDR是青光眼诊断中最常记录的参数之一。