角膜交联(CXL)的疗效分析:Epi-on和Epi-off方法的比较

Jui-Teng Lin
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Both steady-state and transient state features are explored for the efficacy, crosslink depth (CD) and the effects of epithelium layer for the epi-on situation. \nResults: The steady-state efficacy is proportional to the square-root of [RF-concentration] /[light-intensity], The competing factors of reduced RF, F(z), and reduced light intensity in the stroma determine the relative efficacy of epi-on and epi-off. For example, for F(z)<0.5, epi-on is more efficient than epi-off. In contrast, in the transient state (with efficacy <0.6), the efficacy is proportional to the light dose, and therefore epi-on is always less efficient than epi-off. The crosslink depth (CD) has an inverse trend, such that higher light intensity and lower RF concentration lead to deeper CD. The analytic formulas are developed under simplified conditions, in which numerical simulation is required for non-uniform distribution, and when RF depletion are included. 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摘要

目的:分析影响角膜交联(CXL)疗效的因素,并比较epi-on和epi-off方法。研究设计:模拟epi-off和epi-on CXL的疗效。学习地点和时间:台湾新北市,2021年11月至2021年12月。方法:求解CXL药效的速率方程,包括光敏剂浓度、核黄素(RF)浓度、RF耗竭效应、光强动态、RF在基质中的不均匀分布或RF扩散深度的作用。从稳态和瞬态两方面探讨了药物的功效、交联深度(CD)和上皮层对外源性药物作用的影响。结果:稳态药效与[RF浓度]/[光强]的平方根成正比,降低的RF、F(z)和基质中降低的光强的竞争因素决定了epi-on和epi-off的相对药效。例如,对于F(z)<0.5, epi-on比epi-off更有效。而在瞬时状态下(药效<0.6),药效与光剂量成正比,因此epi-on的药效始终低于epi-off。交联深度(CD)呈反比趋势,即光强越强,RF浓度越低,交联深度越深。本文在考虑RF损耗和非均匀分布的简化条件下,对交联深度进行了数值模拟。探讨了提高epi-on CXL稳态效能和交联深度的各种策略,包括使用更高的RF浓度和更低的光强;通过电极装置或扩散增强药物来增强射频扩散。将解析公式与实测数据进行了比较。结论:当射频衰减因子小于光强增益因子时,稳态外接开关的效率高于外接开关。而在瞬时状态下(药效<0.6),药效与光剂量成正比,因此epi-on的药效始终低于epi-off。
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Efficacy Analysis of Corneal Crosslinking (CXL): Comparing Epi-on and Epi-off Procedures
Purpose: To analyze the factors influencing the corneal crosslinking (CXL) efficacy and comparison of epi-on and epi-off procedures. Study Design: modeling the efficacy of epi-off and epi-on CXL. Place and Duration of Study: New Taipei City, Taiwan, between November, 2021 and December, 2021. Methodology: Solving the rate equations for the CXL efficacy which includes the roles of concentration of the photosensitizer, riboflavin (RF), RF depletion effects, dynamic of light intensity, and the non-uniform distribution of RF in the stroma, or the diffusion depth of RF. Both steady-state and transient state features are explored for the efficacy, crosslink depth (CD) and the effects of epithelium layer for the epi-on situation. Results: The steady-state efficacy is proportional to the square-root of [RF-concentration] /[light-intensity], The competing factors of reduced RF, F(z), and reduced light intensity in the stroma determine the relative efficacy of epi-on and epi-off. For example, for F(z)<0.5, epi-on is more efficient than epi-off. In contrast, in the transient state (with efficacy <0.6), the efficacy is proportional to the light dose, and therefore epi-on is always less efficient than epi-off. The crosslink depth (CD) has an inverse trend, such that higher light intensity and lower RF concentration lead to deeper CD. The analytic formulas are developed under simplified conditions, in which numerical simulation is required for non-uniform distribution, and when RF depletion are included. Various strategies for improved steady-state efficacy efficacy and crosslink depth for epi-on CXL are explored including the use of higher RF concentration and lower light intensity; enhancing the RF diffusion by an electrode device, or diffusion enhancing medicine. The analytic formulas are compared with measured data. Conclusion: For the steady-state epi-on is more efficient than epi-off, when the RF reduction factor is less than the light intensity gain factor. In contrast, in the transient state (with efficacy <0.6), the efficacy is proportional to the light dose, and therefore epi-on is always less efficient than epi-off.
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