The cornea is the first surface of light gateway to the retina along with the tear film, representing two-thirds of the dioptric power of the human eye, making it the most important refractive element [16].The anterior surface of the cornea can be mathematically described into conic sections. The parameter most used to describe how the curvature of a parabola differs from the curve of a circle is the asphericity (Q value). The Q value characterizes the change on cornea curvature from the center to the periphery. When Q = 0, it represents a circle, but if –1<Q<0 or Q>0, it represents a prolate or oblate ellipse, respectively. If Q = –1, the curve defines a parabola while a hyperbole is defined when Q<–1 [16,17]. The literature reported negative Q values ranging between –0.01 and –0.80 for a normal cornea, which indicates that cornea usually flattens toward the periphery and can be better fitted to a prolate ellipse shape [12,18]. The Q values of different corneal aperture diameters varied, with a corneal aperture diameter of 3.0 mm being the largest, and the nearer the perimeter, the smaller the value. This study is consistent with previous studies since most of the Q values in previous studies were observed at 30 degrees (or 6.0 mm zone) in the central cornea. The posterior and anterior surface corneal Q values with zone of 6.0 mm were observed to be –0.41±0.30 and –0.11±0.17 respectively in this pertinent study, whereas, in some earlier studies the corneal Q values were reported as –0.22 [Cheung (Chinese)] [19], –0.08 [Horner (Indian)] [20], –0.20 [Fuller (American Caucasian)] [6] and –0.19 [Read (Australian)] [21].This substantial difference with our study and the earlier studies could have been possible due to the impact of various factors like the subject age and race, sample sizes, and the differences in testing equipment.
The anterior and posterior corneal surfaces were separately calibrated using the Sirius system in the study. The same instrument had been used by various other studies as we had used [22–27], while some other studies had utilized varying methods, like: Pentacam HR system [9], TMS-I mapping system [28]and The EyeSys corneal topography [6]. Sirius Scheimpflug-Placido tomographers are routinely employed in research and clinical use, and preceding studies that measured anterior segment parameters have demonstrated the system’s high degree of repeatability and reproducibility [29,30]. The system’s repeatability is akin to that reported for the Pentacam tomographers [31]. Datapoints such as simulated K, corneal power, the distance between the corneal endothelia, and the Q value are considered to be interchangeable between these two instruments [32].
Regarding the study of Q values across different ages, Dubbleman et al. [33]investigated corneal asphericity in 114 cases (aged between 18–65 years old), finding that the Q values increased with age. Age-related changes in corneal thickness and asphericity are believed to be due to the increase in the number of patients with corneal arcus senilis with age. Guirao et al. [34]examined changes in corneal curvature across three groups, namely young people (between 20–30 years old), middle-aged people (between 40–50 years old) and elderly people (between 60–70 years old), finding that corneal asphericity progressed and became increasingly circular (from oblate to round) with age. In our study, the average age of the subjects comprising of 94.21% in the age group above 50 years was 67.44 years, while the corneal Q values of the anterior surface with a zone under 6.0 mm was found to be much higher in the group with an age above 70 years than in the group ranging from 38–49 years, which is consistent with the previous study conducted by Dubbleman. However, few studies have measured the Q values of the posterior corneal surface. Our results have shown that the Q values decrease significantly with age across the zone of 4.0mm, 5.0mm and 6.0 mm. The larger the observed area, the more obvious the change in Q values of the posterior corneal surface. It shows that the factors of posterior corneal surface morphology and pupil size should be taken into account when choosing new IOLs (multifocal IOL, aspherical IOL, etc.) for cataract patients over 70 years old. It also shows that refractive IOLs is not recommended for cataract patients over 70 years old.
A correlation between sex and the Q values was aptly established in our study. Carney [35], Scholz [36], Dubbelman [33] and Chan [8] arrived at similar conclusions. For the anterior surface in our study the female group was found to have a smaller Q value than the male group. However, for the posterior surface the opposite was found to be true along with certain difference in the statistics. Sex was found to be an irrelevant factor for the corneal Q values in the studies conducted by Fuller [6] and Cheung [19], which may be attributed to the difference in the subject’s race and different measuring instruments.
Corneal aspheric properties influence visual acuity. Wavefront aberration refers to the optical path difference between wavefront and ideal wavefront (from the perspective of wave optics) at each point on the imaging plane of the eye. The most relevant aberrations are total HOAs, spherical aberration, coma aberration, and trefoil aberration, which are the primary causes of glare, halos, and decreased nighttime vision in patients following cataract surgery or corneal refractive surgery [37,38].Different corneal shapes produce different degrees of spherical aberration. The corneal Q value is a morphological parameter representing the geometric shape of the cornea, whereas corneal aberration (e.g., spherical aberration) describes the optical quality of the cornea and is representative of the degree of corneal optical error. However, few studies have investigated the correlation between corneal aspheric morphology and HOAs. Philip et al. [39]examined corneal morphology and its influence on HOAs using a theoretical model. It was found that fourth-order aberration (especially spherical aberration) varied alongside corneal asphericity. Kiely et al. [40] studied corneal morphology and its influence on corneal aberration, finding that the degree of corneal aberration varied alongside corneal asphericity and the radius of the corneal apex curvature. Calossi [17] analyzed the relationship between asphericity and the degree of spherical aberration of the anterior corneal surface. It was found that, as long as the corneal refractive index and the pupil diameter remained constant, flatter corneal surfaces from the center to the periphery (negative Q value) equated to lesser degrees of spherical aberration, and steeper corneal surfaces from the center to the periphery (positive Q value) equated to greater degrees of spherical aberration. Our results indicated that both the anterior and posterior surfaces of the cornea correlate significantly with the degree of spherical aberration of the corresponding ranges. That is to say that, alongside higher Q values, the degree of spherical aberration increases accordingly, which is consistent with previous studies [17.39,40]. Furthermore, this finding reflects the morphological characteristics of the cornea in optical imaging.
Coma and trefoil were both third-order aberrations, which reflected the asymmetry of refractive characteristics of the eye and were the representation of irregularity, inclination, eccentricity, and other symmetry of the eye. The depth of the focus gets enhanced by the aberration of the vertical coma [41].Theoretically, coma is correctable, however, technically, it is much difficult to conduct a surgical correction under the circumstances. In certain cases Trefoil becomes unmanageable and surgery may worsen the situation. Related studies have indicated that spherical and coma aberration is associated with decreased visual acuity and contrast sensitivity in healthy people [42]. In this study, a positive correlation was found to exist between Q values and the degree of trefoil aberration of the front corneal surface, while a negative correlation exists between Q values and total coma aberration, coma aberration of the corneal back surface, total trefoil aberration, and trefoil aberration of the front corneal surface. These findings suggest that preoperative evaluation of corneal Q values before cataract surgery is hugely significant to the postoperative recovery of visual function and enhancing patients’ visual acuity.
The primary feature of this study is that the corneal Q values for 3.0, 4.0, 5.0 and 6.0 mm zone were tallied separately. It was found that the Q value relates to aperture size and that the average values vary statistically across different diameters. This conclusion is hugely significant for product design relating to corneal shapes (e.g., contact lenses), and designers should adjust their design parameters according to different diameters. Meanwhile, according to the mathematical model, the Q value affects the degree of aberration and refractive power distribution of the cornea, thus providing a reference for the design of products related to corneal optical properties and parameters, such as IOLs. The Q values of the posterior corneal surface were also examined in this study. Although the posterior corneal surface is seldom relevant in the design of refractive products, it does affect the optical properties of the eye. Prior research around the Q values of the posterior corneal surface is limited. This study found that patients’ age and gender affect the Q values of the posterior corneal surface under varying diameters, and a correlation was found to exist between the Q values of the posterior corneal surface and higher-order aberrations. Consequently, attention should be paid to the morphological characteristics of the posterior corneal surface in preoperative cataract evaluation and the design of intraocular lenses.
There were some limitations to this study. Overall, the recruitment of the patients was highly restricted in number. Besides, the usage of just the Scheimpflug instruments could have led to limitations in the corneal measurements despite the reproducibility and repeatability of the Scheimpflug instruments being revealed in the earlier studies in case of measurements on the anterior segment in the normal eyes. Nevertheless, supplementary corneal topographers could have been utilized. The aberration measurements might also have been affected by the conditions of the tear film [43].Thus, the last limitation was no measuresments of ocular surface dryness, although all dry eyes diagnosed were excluded.
In conclusion, the purpose of this research was to study the factors related to the corneal Q values in cataract patients. We found that there were great individual differences in Q values. The Q values were found to have a correlation with HOAs, sex, and age. Further studies with regards to the optical properties of the human eye shall be able to access the results as ready reference, besides they could be helpful in improving the designing of the IOLs.