眼科 ›› 2026, Vol. 35 ›› Issue (1): 54-60.doi: 10.13281/j.cnki.issn.1004-4469.2026.01.009

• 论著 • 上一篇    下一篇

Alpha角和Kappa角的人群分布及其与眼生物学参数的相关性

刘帅帅 任倩文 丁晓晨 刘勇   

  1. 安徽医科大学附属爱尔眼科医学中心,合肥 230041
  • 收稿日期:2024-09-24 出版日期:2026-01-25 发布日期:2026-01-13
  • 通讯作者: 刘帅帅,Email:lssmqq@163.com E-mail:lssmqq@163.com
  • 基金资助:
    安徽医科大学校自然基金(2022xkj260)

Distribution characteristics of angle Alpha and angle Kappa and their association with ocular biometric parmeters

Liu Shuaishuai, Ren Qianwen, Ding Xiaochen, Liu Yong   

  1. Aier Ophthalmic Medical Center Affiliated to Anhui Medical University, Hefei 230041, China
  • Received:2024-09-24 Online:2026-01-25 Published:2026-01-13
  • Contact: Liu Shuaishuai, Email: lssmqq@163.com E-mail:lssmqq@163.com
  • Supported by:
    Natural Science Foundation Project of Anhui Medical University (2022xkj260)

摘要: 目的 观察并描述正常眼轴成年人Alpha角和Kappa角的分布特征及其与眼生物学参数的相关性。设计 回顾性研究。研究对象 2018年1月至2022年12月于合肥爱尔眼科医院行Lenstar 900 检查的9272例(18 544眼),平均年龄(33.27±25.70)岁;眼轴21~26 mm,无屈光手术、角膜接触镜配戴及眼外伤/手术史。方法 受检者按年龄分为10组(≤10岁组,>10~20岁组,>20~30岁组,>30~40岁组,>40~50岁组,>50~60岁组,>60~70岁组,>70~80岁组,>80~90岁组,>90岁组)。采用 Lenstar 900对每眼连续测量3次,取平均值。Lenstar 900通过瞳孔中心与角膜顶点之间的距离来表示Kappa角。角膜中心和角膜顶点之间的距离代表Alpha角。采用 Kolmogorov-Smirnov 检验分布,非正态数据以中位数(P25,P75)表示;Wilcoxon 符号秩和检验比较左右眼及性别差异,Spearman 相关分析 Alpha 角、Kappa 角与眼部参数(角膜厚度、前房深度、晶状体厚度、眼轴、角膜前表面曲率半径、白到白距离)关系;线性混合效应模型控制双眼相关性,非线性回归拟合年龄变化曲线。主要指标 Alpha角、Kappa角,及其与年龄、眼部生物学参数的相关性(用相关系数r表示)。结果 Alpha角和Kappa角均呈非正态偏态分布,Alpha角<0.5 mm占71.70%、Alpha角<0.8 mm占93.97%;Kappa角<0.5 mm占94.86%、Kappa角<0.8 mm占99.39%。Alpha角双眼多分布于颞上象限,且颞上方最大;Kappa 角双眼多分布于颞下象限,且颞下方最大。Alpha角中位数右眼0.42(0.26,0.53)mm、左眼 0.41(0.26,0.52)mm(P=0.004),男性0.41(0.26,0.53)mm、女性0.40(0.25,0.52)mm(P=0.001);Kappa角中位数右眼 0.24(0.14,0.31)mm、左眼0.23(0.13,0.30)mm(P<0.001),男性0.23(0.13,0.30)mm、女性0.24(0.13,0.31)mm(P=0.825)。Alpha角与Kappa角呈中度相关(r=0.352,P<0.001)。Alpha角和Kappa角与年龄无明显线性相关,呈先降后升的非线性关系(Alpha角回归方程:Alpha角=0.5076-0.0101Age+0.0001Age2;Kappa角回归方程:Kappa角=0.2139-0.0014Age+0.00003Age2),20~30岁年龄组最小;Alpha角和Kappa角分别与晶状体厚度呈正相关(r=0.166,P<0.001;r=0.215,P<0.001),与前房深度(r=-0.223,P<0.001;r=-0.234,P<0.001)、眼轴长度(r=-0.295,P<0.001;r=-0.162,P<0.001)、白到白距离(r=-0.079,P<0.001;r=-0.119,P<0.001)呈负相关,与中央角膜厚度、角膜曲率半径R1、R2无相关性。结论 Alpha角和Kappa角主要分布于视轴颞侧,均随着年龄的变化呈现先减小后增大的趋势。Lenstar 900测量的Alpha角和Kappa角在本组人群中均呈非正态分布,Alpha角的个体差异较Kappa角大。Alpha角和Kappa角与眼部结构参数之间存在显著相关。

关键词: Alpha角, Kappa角, 前房深度, 眼轴长度, Lenstar 900

Abstract: Objective To observe and describe the distribution characteristics of angle Alpha and angle Kappa in adults with normal axial length, as well as their correlations with age and ocular biological parameters.Design Retrospective study. Participants A total of 9,272 cases (18,544 eyes), with an age range of 6~95 years (33.27±25.70 years), who underwent Lenstar 900 examination at Hefei Aier Eye Hospital from January 2018 to December 2022 were included. All participants had an axial length of 21~26 mm and no history of refractive surgery, contact lens wear, ocular trauma, or other ocular surgeries. Methods Participants were divided into 10 groups by age (≤10 group, >10~20 group, >20~30 group, >30~40 group, >40~50 group, >50~60 group, >60~70 group, >70~80 group, >80~90 group, >90 group). Each eye was measured consecutively 3 times using the Lenstar 900, and the average value was taken for analysis. The Lenstar 900 expresses the angle Kappa as the distance between the pupil center and the corneal vertex. The angle Alpha is represented by the distance between the corneal center and the corneal vertex. The Kolmogorov-Smirnov test was used to verify the data distribution; non-normally distributed data were expressed as median (P25, P75). The Wilcoxon signed-rank test was applied to compare differences in angle Alpha and angle Kappa between the left and right eyes, as well as between genders. Spearman correlation analysis was used to explore the relationships between angle Alpha/angle Kappa and ocular parameters. A linear mixed-effects model was used to control the correlation between the two eyes of the same subject, and nonlinear regression was used to fit the age-related change curves of angle Alpha and angle Kappa. Main Outcome Measures The distribution of angle Alpha and angle Kappa, and their correlations with age and ocular biological parameters. Results Both angle Alpha and angle Kappa showed a non-normal skewed distribution. For angle Alpha, 71.70% of eyes had a value <0.5 mm, and 93.97% had a value <0.8 mm. For angle Kappa, 94.86% of eyes had a value <0.5 mm, and 99.39% had a value <0.8 mm. Angle Alpha in both eyes was mostly distributed in the superotemporal quadrant, with the largest value in the superotemporal quadrant; angle Kappa in both eyes was mostly distributed in the inferotemporal quadrant with the largest value in the inferotemporal quadrant. The median angle Alpha was 0.42 (0.26, 0.53) mm for the right eye and 0.41 (0.26, 0.52) mm for the left eye (P=0.004); it was 0.41 (0.26, 0.53) mm in males and 0.40 (0.25, 0.52) mm in females (P=0.001). The median angle Kappa was 0.24 (0.14, 0.31) mm for the right eye and 0.23 (0.13, 0.30) mm for the left eye (P<0.001); it was 0.23 (0.13, 0.30) mm in males and 0.24 (0.13, 0.31) mm in females (P=0.825). There was a moderate positive correlation between angle Alpha and angle Kappa (r=0.352, P<0.001). Neither angle Alpha nor angle Kappa showed a significant linear correlation with age; instead, they exhibited a non-linear relationship of first decreasing and then increasing. The regression equations were as follows: angle Alpha=0.5076-0.0101Age+0.0001Age2 and angle Kappa=0.2139-0.0014Age+0.00003Age2. The smallest values of both angles were observed in the 20~30 years age group. Additionally, angle Alpha and angle Kappa were positively correlated with lens thickness (r=0.166, P<0.001; r=0.215, P<0.001), negatively correlated with anterior chamber depth (r=-0.223, P<0.001; r=-0.234, P<0.001), axial length (r=-0.295, P<0.001; r=-0.162, P<0.001), and white-to-white distance (r=-0.079, P<0.001; r=-0.119, P<0.001), and showed no correlation with central corneal thickness and corneal curvature radius. Conclusion Alpha and Kappa angles are primarily distributed on the temporal side of the visual axis, both exhibiting a trend of initially decreasing and then increasing with age. Alpha and Kappa angles measured by Lenstar 900 both show non-normal distribution, Alpha angles are greater individual variation compared with Kappa angles. Alpha and Kappa angles exhibit significant correlations with the ocular structural parameters.

Key words: Alpha angle, Kappa angle, Anterior chamber depth, Axial length, Lenstar 900