Schachar Ronald A, Schachar Ira H, Kumar Shubham, Kamangar Farhad, Hunter Boyd, Pierscionek Barbara K, Cosman Pamela C
Schachar LLC, La Jolla, California, United States of America.
North Bay Vitreoretinal Consultants, Santa Rosa, California, United States of America.
PLoS One. 2025 Jul 1;20(7):e0326954. doi: 10.1371/journal.pone.0326954. eCollection 2025.
The ability to focus at near is achieved by dynamic changes in the shape of the lens of the eye. The Helmholtz hypothesis of accommodation proposes that, at distance gaze, all of the lenticular supporting zonules are at maximal tension. To bring a near object into focus, this tension is reduced by action of the ciliary muscle. The resultant release of tension allows the elastic lens capsule to mold the lens into a more rounded shape, increasing both its central thickness and central optical power (COP). Based upon Helmholtz's hypothesis, complete removal of these zonules should result in a rounded shaped lens of maximal COP. Schachar has offered an alternative mechanism of accommodation based upon the distinct actions of the three different groups of lenticular zonules. Schachar believes that for distant objects, all the zonules are under the minimum tension required to maintain lens stability; however, during lenticular accommodation, equatorial zonular tension increases while, simultaneously, the anterior and posterior zonular tension decreases. The selective increase in equatorial zonular tension results from the unique orientation of the different ciliary muscle fiber groups. With this increase in equatorial zonular tension, the peripheral lens surfaces flatten, central surfaces steepen and central lens thickness and COP increase. Schachar's hypothesis would anticipate that with zonular removal, the COP of the isolated lens would be minimal and diametrically opposite to the high lens COP expected with the Helmholtz hypothesis. In order to determine the COP of the isolated human lens, we obtained, through the kindness of the authors of an independent research study, the x-y coordinates of the central sagittal lens profiles of 10 freshly isolated human lenses (donors aged 20-30 years). These coordinate data were then mathematically utilized by fitting them into Chien, Forbes, Fourier, and elliptical equations. Additionally, the coordinate data was smoothed and fit to third-degree polynomials (S4W 3rd Poly). Independent of which of these equations was employed, within central optical zone diameters of [Formula: see text] 3 mm, the COP was found to be minimal. Since the S4W 3rd Poly provided the best fit, it was used to represent lens surfaces in optically modeled eyes. In all modeled eyes, Zernike spherical aberration (SA) coefficients were positive. These findings are consistent with in vivo measurements of SA obtained from human eyes while viewing distant visual objects. Having thus demonstrated that freshly removed human lenses, free of zonular tension, have their least COP, it is likely that this condition mimics the physiologic status of the human lens in the eye while attending to the most distant visual objects. In an independent, companion paper, we observed, using interferometric measurements of surface radius of curvatures of 12 fresh, isolated human lenses, obtained from donors aged 20-30 years, that the minimal COP was also associated with the unaccommodated state in vivo.
眼睛晶状体形状的动态变化实现了近距聚焦的能力。亥姆霍兹调节假说提出,在远距离注视时,所有晶状体支持小带都处于最大张力状态。为了使近处物体聚焦,睫状肌的作用会降低这种张力。由此产生的张力释放使弹性晶状体囊将晶状体塑造成更圆的形状,增加其中心厚度和中心屈光力(COP)。基于亥姆霍兹的假说,完全去除这些小带应会导致具有最大COP的圆形晶状体。沙查尔提出了一种基于三组不同晶状体小带不同作用的调节替代机制。沙查尔认为,对于远处物体,所有小带都处于维持晶状体稳定性所需的最小张力之下;然而,在晶状体调节过程中,赤道小带张力增加,同时,前后小带张力降低。赤道小带张力的选择性增加源于不同睫状肌纤维组的独特取向。随着赤道小带张力的增加,晶状体周边表面变平,中心表面变陡,晶状体中心厚度和COP增加。沙查尔的假说预计,去除小带后,分离出的晶状体的COP将最小,与亥姆霍兹假说所预期的高晶状体COP截然相反。为了确定分离出的人晶状体的COP,我们通过一项独立研究的作者的善意帮助,获得了10个新鲜分离的人晶状体(供体年龄在20 - 30岁)的中央矢状晶状体轮廓的x - y坐标。然后通过将这些坐标数据数学拟合到钱氏、福布斯、傅里叶和椭圆方程中加以利用。此外,对坐标数据进行了平滑处理并拟合到三次多项式(S4W 3rd Poly)。无论采用这些方程中的哪一个,在中心光学区直径为[公式:见正文]≤3毫米范围内,发现COP最小。由于S4W 3rd Poly拟合效果最佳,它被用于在光学建模眼睛中表示晶状体表面。在所有建模眼睛中,泽尼克球差(SA)系数均为正值。这些发现与在人眼观察远处视觉物体时获得的SA的体内测量结果一致。既然已经证明新鲜摘除的、不受小带张力影响的人晶状体具有最小的COP,那么这种情况很可能模拟了人眼在注视最远处视觉物体时晶状体的生理状态。在一篇独立的配套论文中,我们使用干涉测量法对12个从20 - 30岁供体获得的新鲜分离的人晶状体的表面曲率半径进行测量,观察到最小的COP也与体内未调节状态相关。