Introduction
 
	Accommodation is a dynamic process of retinal defocus 
when the eye focuses at different distances (1). Loss of 
accommodation due to presbyopia or cataract surgery is one 
of the most common complaints in ophthalmic patients. 
Although many basic and clinical researches were conducted 
(2,3), the mechanism of accommodation and presbyopia are 
not fully understood, and restoring accommodation remains 
a challenging task.
 
	      The lenticular changes mediated by ciliary muscle 
and zonule is commonly regarded as a key factor for 
accommodation and presbyopia (4-6). Loss of deformity 
of the lens with age is hypothesized to be the primary 
etiology of presbyopia (4). Thus a detailed knowledge of 
the structural changes of the crystalline lens and optical 
properties during accommodation is of great importance 
in understanding the mechanism of accommodation 
and exploring new techniques for restoring dynamic 
accommodation. Additionally, exact data of dynamic 
changes amplitude in anterior chamber depth (ACD) and 
anterior lens position can help to assess the security of the 
implantable Collamer lens (ICL) which may cause cataract 
formation due to contact between the ICL and crystalline 
lens (7). Previous measurements of crystalline lens in vivo 
were mainly performed with A-scan (8), IOLmaster (9), 
Purkinje imaging (10), Scheimpflug camera (11), slit-lamp 
photography (12), ultrasound biomicroscopy (UBM) (13), 
or magnetic resonance imaging (MRI) (14). These 
measurements of the crystalline lens, however, were indirect 
measures with or without complexity of obtaining cross-sectional images, with limited visibility of the posterior lens 
surface, and debatable reproducibility and accuracy (12).
 
	      Anterior segment optical coherence tomography (AS-OCT) is a non-invasive method that offers high-resolution 
imaging of the anterior segment structures with high-speed, 
3D imaging capability and providing coaxial accommodative 
targets which enables in vivo and real-time assessment of 
accommodation, and thus has gained wide used in clinical 
application to assess parameters of the anterior chamber 
angle, as well as accommodation due to its advantage of 
dynamic measurement (2,15,16). However, challenge exist 
to assess the entire crystalline lens in a single frame by 
commercial AS-OCT due to the limited scan depth and the 
sensitivity decay with depth. Currently, available methods 
to image the entire anterior segment with AS-OCT 
were obtained by complex phase-splitting techniques for 
conjugate removal (17), dual channel dual focus AS-OCT 
devices (18) or by overlapping images acquired at different 
depths (16), the reliability of which needs to be further 
assessed. Furthermore, the complexity of the techniques 
limited the possibility to generalize it in larger population-based studies. 
 
	      In recent years, with the improved scan rate, scan depth, 
and scan density of the second generation swept source 
AS-OCT (SS-OCT) (CASIA2, TOMEY, Japan), it is now 
possible to obtain imaging from the cornea to the posterior 
lens surface in one cross-sectional image. The reliability 
and repeatability of CASIA2 in measuring anterior segment 
structures was high (19). Current studies of accommodation 
using CASIA2 are scarce (20-24). Therefore, we aimed to 
characterize changes in lens parameters and other anterior 
segment parameters including ACD, anterior segment 
length (ASL) and its associations using CASIA2 during 
-3 diopter (D) accommodative stress. We present the 
following article in accordance with the STROBE reporting 
checklist
 
	Methods
	Participants
	One hundred-fifty-nine participants were consecutively 
recruited to participant in the current study from Aug 22 
to Sep 10, 2019 at Zhongshan Ophthalmic Center (ZOC), 
southern China. Exclusion criterion were best corrected 
Visual Acuity (BCVA) of less than 20/20; previous history 
of ocular disease or surgeries; history of wearing contact 
lenses; anterior segment abnormality; poor quality SS-OCT 
images; or inability to cooperate during examination. The 
study was conducted in accordance with the Declaration of 
Helsinki (as revised in 2013). Ethical approval was obtained 
from the Zhongshan University Ethics Review Board (No. 
2019KYPJ033). Written informed consent was obtained 
from all participants. 
	Ocular examinations
	All participants underwent uncorrected visual acuity 
(UCVA) and BCVA examination using an Early Treatment 
Diabetic Retinopathy Study (ETDRS) visual chart at a 
distance of 4 m. Non-cycloplegic refractions were measured 
by an autorefractor (KR8800; Topcon, Tokyo, Japan). The 
refraction data was further converted to spherical equivalent 
(SE) which was defined as spherical power plus half of the  cylindrical power. Axial length (AL) was measured by an 
optical biometer (IOLmaster700, Carl Zeiss Meditec, Jena, 
Germany). A slit lamp examination was adapted to detect 
abnormalities of the anterior and posterior segments. Each 
examination was performed by the same experienced nurse 
by a standard protocol to ensure reliability. 
	SS-OCT examinations
 
	The SS-OCT device (CASIA2, Tomey Corporation, 
Nagoya, Japan) with a laser wavelength of 1,310 nm was 
used to obtain images of the anterior segment before and 
during accommodation. All measurements were conducted 
under a standard procedure in a darkened room with 
the same device settings by the same research nurse. SS-OCT scans of the lens analysis model were obtained at the 
accommodative resting state and at an accommodative stress 
on -3 D after refractive compensation by a build-in system 
of the CASIA2. Before scanning, refractive error of the 
tested eye was corrected by the built-in system. The anterior 
segment images of the tested eye in unaccommodated 
state was captured with the participant focusing on the coaxial internal fixation target image set for distance in the 
CASIA2 device for the first 5 seconds. Afterward, -3.0 D 
accommodative stress by the built-in system of the CASIA2 
was added to stimulate the physiologic accommodation, and 
images were captured when the participant could clearly 
look forward at the internal fixation target for 5 seconds. 
The eye was centered by the active eye tracker system in 
CASIA2. Corneal topographic axis, defined as a reference 
line connecting the fixation point in the topographer to 
the vertex normal on the cornea, was used as positional 
reference for comparative images obtained from the 
unaccommodated and accommodated states (25,26). To 
avoid eye movement, rotation, convergence or other 
movements during scanning, participants were guided 
to keep their jaw and forehead on the fixed trestle, while 
staring at the co-axial internal fixation target during 
scanning. Then the device automatically analyzed and 
displayed values of ACD, anterior and posterior lens 
curvature, lens thickness (LT) and lens diameter at 
3-dimensional space. In order to ensure the reliability of the 
automatic results generated by the CASIA2, the “semi-auto” 
setting was used to check the accuracy of the automatic 
outline and re-modify the outline in scans with poorly 
automatically detected outlines. Three-dimensional data of 
the anterior segment parameters were analyzed. ACD was 
defined as the distance between the corneal epithelium and 
the anterior surface of the lens. ASL was defined as ACD 
plus LT. Lens central point (LCP) was defined as ACD 
plus half of the LT. The corneal model was used to obtain 
measurements of corneal power.
 
	Accommodative response
	The accommodative response was defined as changes in 
refractive power of the eye during accommodation based on 
a schematic eye model in paraxial approximation (Eq. [2]).
Where P, PC and PL refer to the power of the equivalent 
total eye, cornea and lens, respectively. Values of PC were 
obtained from the CASIA2, nl is the refractive index of the 
lens which is adjusted for age (27), nh=1.336 is the refractive 
index of the aqueous humor, Ra and Rp represent the radius 
of anterior and posterior lens curvatures.
	
		Statistical
	
analysis
All statistical analyses were performed with Stata (ver. 12.0; 
Stata Corp, College Station, TX). All data were presented 
for right eyes. The Skewness-Kurtosis test and histogram 
were used to test the normality of variables. Continuous 
variables were presented as the mean ± standard deviation 
(SD) or median [interquartile range (IQR)]. Analysis of 
variance (ANOVA) for normal distributions, or the Kruskal 
Wallis test for very skewed distributions were used to 
compare anterior segment parameters between age groups. 
Changes in anterior segment parameters, including anterior 
lens curvature, posterior lens curvature, LT, lens diameter, 
ACD, LCP and ASL, were calculated by subtracting 
anterior segment parameters at the accommodative 
resting state from anterior segment parameters at ?3 
D accommodative stress. Paired t-test was used to test 
for changes in anterior segment parameters during ?3 
D accommodative stress. Univariable and multivariable 
regression models were used to determine associated 
factors with changes in anterior lens curvature, posterior 
lens curvature and accommodative response of ?3 D 
accommodative stimulus. A P value of <0.05 was defined to 
indicate statistical significance. 
	
		Results
	
Of the 159 recruited participants, 19 were excluded due to 
having BCVA of less than 20/20 (9 participants), history of 
wearing contact lenses (3 participants), anterior segment 
abnormality (2 participants) and poor-quality SS-OCT 
images (5 participants), leaving 140 eligible participants 
for the final analysis (Figure 1). The distribution of basic 
characters of the included participants is presented in Table 1. 
In general, images of 140 participants with a median (IQR) 
age of 30 (23 to 44) years (age range, 10–59 years) and a 
male proportion of 40.71% were obtained under both the 
static state and at an accommodative amplitude of ?3 D. 
The median (IQR) SE was ?1.13 (?4.13, 0) D and the mean
	
		AL was 24.28±1.52 mm.
	
      Table 2 presents result of changes in anterior segment 
biometry during ?3 D accommodative stimulus by age 
groups. Compared to non-accommodative status, ACD 
(2.952±0.402 vs. 2.904±0.382 mm, P<0.001), anterior 
(10.771±1.801 vs. 10.086±1.571 mm, P<0.001) and posterior 
lens curvature (5.894±0.435 vs. 5.767±0.420 mm, P<0.001), 
lens diameter (9.829±0.338 vs. 9.695±0.358 mm, P<0.001) 
and LCP (4.925±0.274 vs. 4.900±0.259 mm, P=0.010) 
tended to decreased and LT thickened (9.829±0.338 vs.
9.695±0.358 mm, P<0.001), while ASL (6.903±0.279 vs.
6.898±0.268 mm, P=0.568) did not change significantly 
during accommodation. The changing amplitude of anterior 
lens curvature, posterior lens curvature, and LT tended to 
be smaller with increasing age (all P<0.05).
      Table 3 shows the associated factors with changes 
in anterior and posterior lens curvature during ?3 D 
accommodative stress. In the univariable model, participants 
who were younger (β=0.033, 95% CI: 0.025 to 0.041, 
P<0.001), female gender (β=0.411, 95% CI: 0.191 to 0.630, 
P<0.001), had myopic SE (β=0.083, 95% CI: 0.045 to 
0.120, P<0.001), longer AL (β=?0.180, 95% CI: ?0.258 to 
?0.101, P<0.001), deeper ACD (β=?0.778, 95% CI: ?1.031 
to ?0.525, P<0.001), larger anterior (β=?0.189, 95% CI: 
?0.243 to ?0.134, P<0.001) and posterior lens curvature 
(β=?0.399, 95% CI: ?0.650 to ?0.148, P=0.002), thinner 
LT (β=0.847, 95% CI: 0.619 to 1.074, P<0.001) and more 
backward of LCP (β=?0.655, 95% CI: ?1.053 to ?0.258, 
P=0.001) were more likely to have larger steeping of the 
anterior lens curvature after ?3 D accommodative stimulus. 
Younger age (β=0.029, 95% CI: 0.020 to 0.038, P<0.001) 
and larger anterior (β=?0.071, 95% CI: ?0.138 to ?0.003, 
P=0.040) lens curvature were still associated with larger 
accommodation-induced steeping of the anterior lens 
curvature after adjusting for age, gender and SE. Younger 
age (β=0.004, 95% CI: 0.001 to 0.007, P=0.014) and larger 
posterior (β=?0.102, 95% CI: ?0.184 to ?0.021, P=0.014) 
lens curvature were associated with larger accommodationinduced steepening of posterior lens curvature after 
adjusting for confounders. There was a positive correlation 
between changes in anterior lens curvature and changes 
in posterior lens curvature (r=0.518, P<0.001) and lens 
diameter (r=0.743, P<0.001), ACD (r=0.847, P<0.001), and 
LCP (r=0.601, P<0.001), while changes in anterior lens 
curvature was negatively correlated with changes in LT 
(r=?0.881, P<0.001) and ASL (r=?0.387, P<0.001) (Figure 2). 
A similar correlation was also observed for changes in 
posterior lens curvature (Figure 3).
                             
      Changes in optical power of the whole eye and the 
isolated lens are calculated using Eqs. [1,2]. The optical 
power of the whole eye at 0 D and ?3 D accommodative 
stress was 62.49±2.28 and 63.27±2.29 D, respectively 
(P<0.001). Accordingly, the lens power was 24.03±1.89 D 
at 0 D and which increased to 24.90±2.05 D during ?3 D of 
accommodative stress (P<0.05). Younger age was associated 
with greater accommodative response (β=?0.027, 95% CI: 
?0.038 to ?0.016, P<0.001) in the multivariable regression 
model (Table 4).
	
		Discussion
	
The current study found that the anterior segment 
biometry including ACD, anterior lens curvature, posterior 
lens curvature, lens diameter, LCP and LT changed 
significantly during ?3 D accommodative stress, while ASL 
did not change during accommodation. Participants with 
older age and smaller anterior lens curvature tended to have 
smaller decreasing amplitude of the anterior lens curvature 
during accommodation. The accommodative response 
of ?3 D stimulus decreased with age. Previous studies on 
accommodation have been based on small study samples or 
based on traditional or compound imaging which cannot 
directly observe changes of the entire anterior segment, thus 
decreased reliability (13,14,16,18). To further understand 
the mechanism of accommodation and on-set of presbyopia 
and its related factors, studies of larger sample sizes with 
scans in which images are entirely visible are needed. To the 
best of our knowledge, this is so far the study containing 
the largest study sample by the CASIA2, the scanning depth 
of which enables us to obtain a single anterior segment 
image from anterior cornea to posterior lens surface and 
automatically generate data of anterior segment parameters 
with build-in software. 
      Our findings that lens curvature steepened followed 
by LT thickened and ACD shallowed are in accordance 
with the widely accepted Schachar mechanism (5,28-30). 
Accommodation-related decrease of anterior lens curvature, 
increase of LT and shallow of ACD have been well verified 
by numerous studies using Scheimpflug, AS-OCT, and 
other methods (2,14). However, lack of available methods 
for imaging the posterior lens curvature, most of which 
are currently obtained indirectly or through complex 
machine or overlapping images, limited our knowledge 
of accommodation-related changes in the posterior lens 
curvature. Some studies found a statistically significant 
reduction in posterior lens surface curvatures during 
accommodation using MRI (14) or SD-OCT (31), but other 
studies have indicated no changes (32,33). The possible 
reason for the controversy may be due to the low resolution 
of images and low reliability of the synthesized images. 
The enhanced penetration and speed of the CASIA2 
enables the visibility of the entire anterior segment in one 
cross-sectional image in real-time and automatic analysis, 
which is a useful method in evaluating dynamic changes 
in lens parameters during accommodation. Our study 
indicated that posterior lens curvature steepened during 
?3 D accommodation. Current studies on accommodation 
using CASIA2 are scarce. One study of 30 participants aged 
20 years and older from Japan presented preliminary 
values of anterior lens curvature, posterior lens curvature 
and LT before and after ?3 D accommodative stress. 
However, it is difficult to determine whether changes in 
lens parameters during accommodation happened because 
this paper did not make statistical test for these changes (23). 
The same researchers did a more detailed analysis of 
accommodation-related changes in lens parameters in 
another study, with the results indicating that anterior 
and posterior lens curvatures steepened and LT thickened 
during accommodation in 96 included eyes, but the exact 
values of lens biometry were not presented (20). Thus, we 
cannot make direct comparison between our study and the 
aforementioned studies (20,23).
      Studies on changes of the position of the posterior lens 
pole (ASL) during accommodation is controversial, with 
some studies having indicated no significant changes (16,34), 
but others found a significant backward-displacement of 
the posterior lens position (3,31). Variation of different 
measurements, or imaging length of technique may partly explain these disparities. Our finding that ASL did not change 
with accommodation supports the Schachar theory that the 
lens position remains stable during accommodation (5,28).
      Our and previous studies (14,35,36) indicate that 
the accommodation induces changes in anterior lens 
curvature is larger than the posterior lens curvature 
during ?3 D accommodative stress. Additionally, the 
accommodation-induced changes in the amplitude and 
slope of the anterior lens curvature are different from 
the posterior lens curvature. One 3D MRI study showed 
that changes in anterior lens curvature were larger than 
those of posterior lens curvature, and changes in slope of 
the anterior and posterior lens curvature were not linear 
during accommodation (14). Gambra et al. (35) found that 
there was a decrease of 0.73 mm/D for the anterior lens 
curvature and 0.20 mm/D for the posterior lens curvature 
with increasing accommodative demand from 0 to 6 D by 
1-D step. Results from an AS-OCT study indicated that 
changes in lens biometry were limited to the anterior lens 
curvature if accommodative stress was less than 1.5 D, 
while the posterior lens curvature was additionally altered 
in the process of accommodation only above the 1.5 D 
accommodative stress level (36). The reason for the 
differences in response of anterior and posterior lens 
curvatures to accommodation may be due to differences in 
insertion position and direction of the zonulas fiber or the 
relative position of the ciliary muscle to the lens (3).
      The human lens, which provides one-third of the 
ocular optical power, is responsible for refocusing on 
targets at different distances through alteration of its 
shape to decrease or increase ocular optical power 
during accommodation. Previous studies showed that the 
deformability of the crystalline lens decreased with age, 
but the contractility of the muscle did not decline with age 
(2,27). One study using a combination of two SD-OCT 
systems to acquire synchronized images of the ciliary body 
and lens showed that accommodation-induced changes in 
LT was larger in younger subject, and younger subject had 
faster responses in the crystalline lens after contraction 
of the ciliary muscle (37). Richdale et al. (38) found that 
accommodative response increased linearly with increasing 
accommodation demand among subjects younger than 
40 years but increased little among subjects aged 40 years 
and older; the lost rate of maximum accommodative response 
was 0.2 D/age. The current study found that the amplitude 
of reshaping of anterior and posterior lens curvatures during 
?3 D accommodative stimulus was significantly decreased 
with age, as well as the accommodative response which 
represents the real accommodative power under ?3 D 
accommodative stimulus (0.027 D per year).
      The mean value of ?3 D accommodation-induced 
changes in ocular refractive power of the whole eye in our 
study was 0.79 D (range from ?0.10 to 3.04 D), which is 
smaller than found in other studies. One OCT study of 
4 subjects indicated that the changes of refractive power 
was about 3.8 D during 6 D accommodative demands (35). 
Another OCT study of 19 eyes from 13 subjects with a 
mean age of 28.6±4.4 years showed that the changes of 
refractive power was 4.14 D during 0–6 D accommodative 
demands in 1.5 D steps (31). Richdale et al. (38) found that 
the response amplitudes of 6 D accommodation were 0.03 
to 5.15 D among 26 emmetropic adult aged 30 to 50 years 
using an auto-refractor. The relative wide age range in the 
current study may partly explain the difference. However, 
differences in measurement technique, study design, and 
race prohibited a direct comparison of our study with 
previous studies (31,35,38). 
      Strength of our study included the relatively large 
study sample size, standardize study protocol, and the 
new SS-OCT device which enable visibility of the entire 
lens figure and automatic analysis. Several limitations of 
the current study should be mentioned. First, analysis 
of some accommodation-related mechanisms including 
changes to ciliary muscle and zonular fibers were not 
available in the current study. Second, understanding 
accommodation-induced changes in lens surface area and 
lens volume, followed by refractive index (39-42) and 
crystalline lens density may help to provide a more indepth understanding the mechanism of accommodation. 
However, currently available SS-OCT device cannot 
measure lens surface areas and lens volumes. Third, 
characteristics of lens biometry changes in other 
accommodative states than presently examined (>?3 D 
or maximum accommodative response) should be further 
assessed. Fourth, the fact that accommodative response was 
estimated by equation instead of auto-refractor which is 
an objective measurement of the accommodative response 
may have skewed our data. Compare to the equation of 
optical power, an indirect measurement, evaluating the 
accommodative response directly using an auto-refractor or 
other objective measurements may increase the reliability 
of the measurements. Fifth, the dynamic behavior of the 
lens during accommodation may potentially influence 
the accuracy of the measurements which were obtained 
only once at each status. Finally, it is difficulty to evaluate 
changes in equatorial diameter because the edge of the lens  
      cannot be visualized due to the presence of the iris by using 
AS-OCT (15,43). The lens diameter in the current study 
was obtained by fitting the anterior and posterior circular 
curves which may not exactly represent the real shape of the 
lens during accommodation
     In conclusion, the current study found that the lens 
is elastically deformed during accommodation which 
include steepening anterior and posterior lens curvature, 
decreased lens diameter and increased LT, followed by 
decreasing ACD and forward-displacement of LCP in 
almost all age subgroups. We found no significant changes 
in ASL in accommodation. Our findings support Schachar’s 
accommodative hypotheses that the lens is stable during 
accommodation. The accommodative response of ?3 D 
stimulus is age-dependent. These data may help us 
further understand the age-dependent mechanisms of 
accommodation.
	
		Acknowledgments
	
Funding: This study was supported by the National 
Natural Science Foundation of China (Nos. 81770905 and 
81873675) and the Construction Project of High-Level 
Hospitals in Guangdong Province (No. 303020102).