Chauhan A, Radke C J
Department of Chemical Engineering, University of California, Berkeley 94720-1462, USA.
Optom Vis Sci. 2001 Oct;78(10):732-43. doi: 10.1097/00006324-200110000-00013.
Ineffectual removal of potentially harmful species from the postlens tear film (POLTF) may lead to adverse responses among extended wearers of soft contact lenses. It is apparently important to remove bacteria, cell debris, and metabolic products from the postlens tear film to the outer tear lake; the flushing or dispersion rate of these species is enhanced by increasing fluid movement in the tear film driven by periodic lens motion. The contact lens moves laterally (up-down) and transversally (in-out) due to the action of the eyelid forces during blinking. Viscous drag in the POLTF resists lens motion. Consequently, any design change in the lens that reduces viscous drag increases motion and improves flushing of unwanted species from the POLTF. We investigate quantitatively the effect of channels cut on the back surface of the lens and fenestrations (holes) drilled through the lens on transverse lens motion.
We model the lens as a curved solid body with a periodic arrangement of channels/holes. The cornea is treated as a flat surface, and the hydrodynamic equations of motion are solved for Newtonian fluid transport in the POLTF assuming lubrication and creeping flow. POLTF pressure profiles, obtained by solving these equations, are integrated to determine the lens settling velocity in the transverse direction for a given amount of applied lid force. Lens settling velocity is then compared with the same velocity in the absence of channels/fenestrations. Further, we calculate the total transverse motion in a blink for lenses with and without channels/fenestrations to estimate the possible enhancement in transverse motion due to the channels/fenestrations.
Variables that affect the fluid mixing in the POLTF are the postlens tear film thickness, lens thickness, channel length, depth and spacing, and the hole diameter, location, and spacing. We study the effect of each of these variables on the enhancement of transverse motion for channels and holes of diameters varying from 0.1 to 2 mm with spacing varying from 1 to 5 mm.
We demonstrate that incorporation of channels and holes reduces viscous resistance and increases transverse lens motion, and thus increases fluid mixing and dispersive flushing from the POLTF. The increase in transverse motion depends strongly on the postlens tear film thickness. Enhancement of the transverse motion varies from a factor of about 2 to 20 depending on the particular lens design and the postlens tear film thickness. Because fluid mixing increases up to the square of the transverse motion, channels/holes are expected to render flushing of the POLTF considerably more effective. We find that channels and/or fenestrations, when appropriately designed, can provide significant improvement in flushing from the POLTF. This work provides a new quantitative tool for the efficient design of channels/holes in soft contact lenses.
不能有效清除晶状体后泪膜(POLTF)中潜在有害物质可能会导致软性隐形眼镜长期佩戴者出现不良反应。将细菌、细胞碎片和代谢产物从晶状体后泪膜清除至外侧泪湖显然很重要;通过周期性镜片运动驱动泪膜中流体运动的增加,可提高这些物质的冲洗或扩散速率。眨眼时,由于眼睑力的作用,隐形眼镜会横向(上下)和横向(进出)移动。POLTF中的粘性阻力会阻碍镜片运动。因此,镜片的任何设计改变若能降低粘性阻力,都会增加运动并改善从POLTF中冲洗掉不需要物质的效果。我们定量研究了在镜片后表面切割通道以及在镜片上钻出小孔(开窗)对镜片横向运动的影响。
我们将镜片建模为具有通道/小孔周期性排列的弯曲固体。角膜被视为平面,假设为润滑和蠕动流,求解POLTF中牛顿流体传输的流体动力学运动方程。通过求解这些方程获得的POLTF压力分布进行积分,以确定在给定眼睑力作用下镜片在横向方向上的沉降速度。然后将镜片沉降速度与没有通道/开窗时的相同速度进行比较。此外,我们计算了有和没有通道/开窗的镜片在一次眨眼过程中的总横向运动,以估计由于通道/开窗导致的横向运动可能的增强。
影响POLTF中流体混合的变量有晶状体后泪膜厚度、镜片厚度、通道长度、深度和间距,以及孔径、位置和间距。我们研究了这些变量中的每一个对直径从0.1到2毫米、间距从1到5毫米的通道和小孔横向运动增强的影响。
我们证明,加入通道和小孔可降低粘性阻力并增加镜片横向运动,从而增加流体混合和从POLTF中的分散冲洗。横向运动的增加强烈依赖于晶状体后泪膜厚度。根据特定的镜片设计和晶状体后泪膜厚度,横向运动的增强幅度从约2倍到20倍不等。由于流体混合随着横向运动的平方增加,预计通道/小孔会使POLTF的冲洗效果显著提高。我们发现,经过适当设计的通道和/或开窗可以显著改善从POLTF中的冲洗效果。这项工作为软性隐形眼镜中通道/小孔的高效设计提供了一种新的定量工具。