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应用角膜前表面数据预测圆锥角膜的总角膜力。

Prediction of total corneal power in keratoconus using anterior surface data.

机构信息

Department of Biomedical and Dental Sciences and Morphofunctional Imaging, University of Messina, Messina, Italy.

Department of Economics, University of Messina, Messina, Italy.

出版信息

Clin Exp Optom. 2024 Apr;107(3):274-280. doi: 10.1080/08164622.2023.2215382. Epub 2023 Jun 4.

Abstract

CLINICAL RELEVANCE

Keratoconus results in an increase in anterior and posterior curvatures and a reduction in corneal thickness. Anterior corneal ectasia is partially compensated by remodelling the corneal epithelium. Therefore, there is an alteration in the relationship between corneal surfaces and variation in corneal power. The variation in corneal power is one of the sources that induces errors in IOL power calculation.

BACKGROUND

This study aimed to assess a method for predicting total corneal power in keratoconus using several anterior surface parameters at 3 mm and 4 mm.

METHODS

Tomographic data obtained using Pentacam (Oculus, Germany) were analysed from 280 eyes of 140 patients with keratoconus using anterior and posterior keratometry, anterior Q-value at 8 mm, central corneal thickness, Kmax location and value, and true net power at 4 mm (TNP). Calculated total corneal power (TCPc) at 3 mm was obtained using the Gauss formula. Predicted total corneal power at 3 mm (TCPp3) and 4 mm (TCPp4) was obtained from univariate (TCPp3u and TCPp4u) and multivariate linear regression formulae (TCPp3m and TCPp4m). SimK, anterior Q-value, vertical location, and Kmax value were used in the multivariate formulae. Mean absolute error (MAE) and median absolute error (MedAE) were also calculated. Absolute frequencies within dioptric ranges of all formulas divided for keratoconus grading were evaluated.

RESULTS

TCPc and TNP exhibited a good correlation (R2 = 0.58, p < 0.05) with a higher dispersion above 50 D of corneal power. Highly significant correlations were observed between TCPp3u and TCPc (R2 = 0.978, p < 0.05) and TCPp3m and TCPc (R2 = 0.989, p < 0.05). Lower but significant correlations were observed between TCPp4u and TNP (R2 = 0.692, p < 0.05) and between TCPp4m and TNP (R2 = 0.887, p < 0.05). The best results for TCP prediction at 3 and 4 mm were obtained with TCPp3m and TCPp4m as follows: MAE of TCPp3m was 0.24 ± 0.20 (SD) D with MedAE of 0.20 D, while MAE of TCPp4m was 0.96 ± 0.77 D with MedAE of 0.80 D. The 3 mm multivariate regression formula results in higher absolute frequencies of prediction errors in the total eyes within 0.5 D (93%) than the univariate formula (81%). At 4mm, the multivariate regression formula has a lower percentage within 0.5 D (32%) than the univariate formula (41%), but the percentage of the multivariate formula is higher within 1 D (63%) than the univariate formula (56%).

CONCLUSION

All formulas show a decrease in accuracy with increasing grades of keratoconus. Multivariate linear regression formulae using only anterior surface data can predict TCP with good approximation in eyes with keratoconus in cases where posterior surface parameters are unavailable. The vertical location of Kmax and the anterior asphericity could play a relevant role in the prediction of total corneal power in keratoconus.

摘要

临床相关性

圆锥角膜会导致前、后曲率增加和角膜厚度减少。角膜前突部分通过重塑角膜上皮来补偿。因此,角膜表面之间的关系发生了变化,角膜屈光力也发生了变化。角膜屈光力的变化是导致 IOL 屈光力计算误差的原因之一。

背景

本研究旨在评估使用 Pentacam(德国欧科路)在 3mm 和 4mm 处的几个前表面参数预测圆锥角膜总角膜屈光力的方法。

方法

对 280 只 140 例圆锥角膜患者的角膜地形图数据进行分析,使用前、后角膜曲率计、8mm 处的前 Q 值、中央角膜厚度、Kmax 位置和值、4mm 处的真实净屈光力(TNP)。使用高斯公式计算 3mm 处的总角膜屈光力(TCPc)。通过单变量(TCPp3u 和 TCPp4u)和多变量线性回归公式(TCPp3m 和 TCPp4m)获得 3mm(TCPp3)和 4mm(TCPp4)的预测总角膜屈光力(TCPp)。SimK、前 Q 值、垂直位置和 Kmax 值用于多变量公式。还计算了平均绝对误差(MAE)和中位数绝对误差(MedAE)。评估了所有公式在圆锥角膜分级的屈光度范围内的绝对频率。

结果

TCPc 和 TNP 之间具有良好的相关性(R2 = 0.58,p < 0.05),角膜屈光力超过 50 D 时分散度更高。TCPp3u 与 TCPc(R2 = 0.978,p < 0.05)和 TCPp3m 与 TCPc(R2 = 0.989,p < 0.05)之间存在高度显著相关性。TCPp4u 与 TNP(R2 = 0.692,p < 0.05)和 TCPp4m 与 TNP(R2 = 0.887,p < 0.05)之间存在较低但显著的相关性。在 3mm 和 4mm 时,TCPp3m 和 TCPp4m 预测 TCP 的效果最好,TCPp3m 的 MAE 为 0.24 ± 0.20(SD)D,MedAE 为 0.20 D,而 TCPp4m 的 MAE 为 0.96 ± 0.77 D,MedAE 为 0.80 D。3mm 多变量回归公式在总眼内预测误差的绝对频率为 0.5 D(93%)高于单变量公式(81%)。在 4mm 时,多变量回归公式在 0.5 D 以内的百分比(32%)低于单变量公式(41%),但多变量公式在 1 D 以内的百分比(63%)高于单变量公式(56%)。

结论

所有公式在圆锥角膜程度增加时准确性都有所下降。使用仅基于前表面数据的多元线性回归公式可以在无法获得后表面参数的情况下,对圆锥角膜眼的 TCP 进行良好的近似预测。Kmax 的垂直位置和前非球面性可能在圆锥角膜总角膜屈光力的预测中发挥相关作用。

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