Strasser Torsten, Nasser Fadi, Langrová Hana, Zobor Ditta, Lisowski Łukasz, Hillerkuss Dominic, Sailer Carla, Kurtenbach Anne, Zrenner Eberhart
Institute for Ophthalmic Research, University of Tuebingen, Elfriede-Aulhorn-Str. 7, 72076, Tuebingen, Germany.
University Eye Hospital, Hradec Králové, Czech Republic.
Doc Ophthalmol. 2019 Apr;138(2):97-116. doi: 10.1007/s10633-019-09672-z. Epub 2019 Jan 29.
The aim of this study was to develop a simple and reliable method for the objective assessment of visual acuity by optimizing the stimulus used in commercially available systems and by improving the methods of evaluation using a nonlinear function, the modified Ricker model.
Subjective visual acuity in the normal subjects was measured with Snellen targets, best-corrected, and in some cases also uncorrected and with plus lenses (+ 1 D, + 2 D, + 3 D). In patients, subjective visual acuity was measured best-corrected using the Freiburg Visual Acuity Test. Sweep VEP recordings to 11 spatial frequencies, with check sizes in logarithmically equidistant steps (0.6, 0.9, 1.4, 2.1, 3.3, 4.9, 7.3, 10.4, 18.2, 24.4, and 36.5 cpd), were obtained from 56 healthy subjects aged between 17 and 69 years (mean 42.5 ± 15.3 SD years) and 20 patients with diseases of the lens (n = 6), retina (n = 8) or optic nerve (n = 6). The results were fit by a multiple linear regression (2nd-order polynomial) or a nonlinear regression (modified Ricker model) and parameters compared (limiting spatial frequency (sf) and the spatial frequency of the vertex (sf) of the parabola for the 2nd-order polynomial fitting, and the maximal spatial frequency (sf), and the spatial frequency where the amplitude is 2 dB higher than the level of noise (sf) for the modified Ricker model.
Recording with 11 spatial frequencies allows a more accurate determination of acuities above 1.0 logMAR. Tuning curves fitted to the results show that compared to the normal 2nd-order polynomial analysis, the modified Ricker model is able to describe closely the amplitudes of the sweep VEP in relation to the spatial frequencies of the presented checkerboards. In patients with a visual acuity better than about 0.5 (decimal), the predicted acuities based on the different parameters show a good match of the predicted visual acuities based on the models established in healthy volunteers to the subjective visual acuities. However, for lower visual acuities, both models tend to overestimate the visual acuity (up to ~ 0.4 logMAR), especially in patients suffering from AMD.
Both models, the 2nd-order polynomial and the modified Ricker model performed equally well in the prediction of the visual acuity based on the amplitudes recorded using the sweep VEP. However, the modified Ricker model does not require the exclusion of data points from the fit, as necessary when fitting the 2nd-order polynomial model making it more reliable and robust against outliers, and, in addition, provides a measure for the noise of the recorded results.
本研究的目的是通过优化市售系统中使用的刺激,并通过使用非线性函数(修正的里克模型)改进评估方法,开发一种简单可靠的客观视力评估方法。
正常受试者的主观视力用斯内伦视力表测量,最佳矫正视力,在某些情况下也测量未矫正视力以及使用正透镜(+1D、+2D、+3D)时的视力。在患者中,使用弗莱堡视力测试测量最佳矫正视力。对56名年龄在17至69岁(平均42.5±15.3标准差岁)的健康受试者和20名患有晶状体疾病(n = 6)、视网膜疾病(n = 8)或视神经疾病(n = 6)的患者进行了扫频视觉诱发电位(sweep VEP)记录,记录到11个空间频率,检查大小以对数等距步长(0.6、0.9、1.4、2.1、3.3、4.9、7.3、10.4、18.2、24.4和36.5周/度)变化。结果采用多元线性回归(二阶多项式)或非线性回归(修正的里克模型)进行拟合,并比较参数(二阶多项式拟合的抛物线的极限空间频率(sf)和顶点空间频率(sf),以及修正的里克模型的最大空间频率(sf)和幅度比噪声水平高2dB时的空间频率(sf))。
记录11个空间频率可更准确地测定高于1.0 logMAR的视力。根据结果拟合的调谐曲线表明,与正常的二阶多项式分析相比,修正的里克模型能够更紧密地描述扫频VEP的幅度与所呈现棋盘的空间频率之间的关系。在视力优于约0.5(小数)的患者中,基于不同参数预测的视力与基于健康志愿者建立的模型预测的视力与主观视力匹配良好。然而,对于较低的视力,两种模型都倾向于高估视力(高达约0.4 logMAR),尤其是在患有年龄相关性黄斑变性(AMD)的患者中。
二阶多项式模型和修正的里克模型在基于扫频VEP记录的幅度预测视力方面表现同样良好。然而,修正的里克模型不需要像拟合二阶多项式模型时那样排除拟合数据点,这使其更可靠且对异常值更具鲁棒性,此外,还提供了记录结果噪声的度量。