Myopia progression is specified by a double exponential growth function
Myopia progression is specified by a double exponential growth function
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DOI：
10.1097/01.opx.0000159370.66540.34
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发表时间：
2005-04-01
影响因子：
1.4
通讯作者：
Held, R
中科院分区：
文献类型：
--
作者：
Thorn, F;Gwiazda, J;Held, R
目的.本研究的目的是证明如何以及修改Gompertz双指数增长函数描绘不同的过程中发现，在个别眼睛的近视进展。函数为：R = R-e + R-c其中在给定年龄R的球面等效屈光不正等于初始屈光不正（R-e）加上总屈光变化（R-c）乘以双指数函数，（0.07295）表示当达到最大加速度时发生的R的比例，a是曲率系数，t（o）是发病年龄，x是年龄。方法.该函数拟合36名近视儿童双眼的纵向屈光数据（等效球镜）。拟合需要满足一组严格的标准，包括拟合近视进展的过渡和过渡，并且没有系统误差或任意常数。结果个体眼睛的屈光功能值和相应数据之间的相关性较高（平均r = 0.973 +/- 0.020），数据和功能之间的平方和较低，并且符合所有其他标准。折射率和加速度的变化率可从该函数导出。已经表明，如果使用峰值加速度作为近视发展开始的标准，则近视化开始比使用-0.50-D开始标准时（平均值= 9.93年）早一年（平均值= 8.93年），并且通常在等效球镜达到零（平均值R = +0.09 D）之前开始。发病年龄与近视进展的持续时间高度相关（r = 0.693），而近视进展的持续时间又与达到的近视量相关（r = 0.443）。结论.我们证明了双指数函数描绘了近视进展的开始、偏移和衍生物的动态，这些衍生物描述了导致近视的生长过程的机制，并解释了该函数的优点。该函数可用于更准确地描绘个体受试者的近视进展的过程。
Purpose. The purpose of this study was to demonstrate how well a modified Gompertz double exponential growth function delineates the diverse courses of myopia progression found in individual eyes. The function is: R = R-e + R-c(0.07295)(a(x-to)) where the spherical equivalent refractive error at a given age R equals the initial refractive error (R-e) plus the overall refractive change (R-c) times a double exponential function with the base (0.07295) representing the proportion of R, that occurs when maximum acceleration is reached, a is a curvature coefficient, t(o) is the age of onset and x is age. Methods. This function was fit to longitudinal refractive data (spherical equivalents) for both eyes of 36 myopic children. The fits were required to meet a stringent set of criteria, including fitting transitions in and out of myopia progression and having no systematic errors or arbitrary constants. Results. Correlation between values on the refractive function and corresponding data of individual eyes is high (mean r = 0.973 +/- 0.020), the sum of squares between the data and function is low, and all other criteria are met. The rates of refractive change and acceleration were derivable from this function. it has been shown that, if peak acceleration rate is used as a criterion for the onset of myopia progression, then myopization onset starts a year earlier (mean = 8.93 years) than when a -0.50-D onset criterion is used (mean = 9.93 years), and it usually starts before the spherical equivalent reaches zero (mean R = +0.09 D). Age of onset is highly correlated with the duration of myopia progression (r = 0.693), which in turn is correlated with the amount of myopia achieved (r = 0.443). Conclusions. We demonstrate that the double exponential function delineates the dynamics of myopia progression onset, offset, and the derivatives that describe the mechanisms underlying the growth process that causes myopia and have explained the advantages of this function. The function can be used to more accurately portray the course of individual subject's myopic progression.