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1From The Ohio State University College of Optometry, Columbus, Ohio; the 2School of Optometry, University of California, Berkeley, California; and the 3Division of Epidemiology and Biometrics, The Ohio State University College of Medicine and Public Health, Columbus, Ohio.
| Abstract |
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METHODS. Keratophakometry in two meridians was performed on 222 normal-birthweight infant subjects at 3 and 9 months of age. The spherical equivalent refractive error was measured by cycloplegic retinoscopy (cyclopentolate 1%). Anterior chamber depth, lens thickness, and vitreous chamber depth were measured by A-scan ultrasonography over the closed eyelid.
RESULTS. Both the mean and SD for spherical equivalent refractive error decreased between 3 and 9 months of age (+2.16 ± 1.30 D at 3 months; +1.36 ± 1.06 D at 9 months; P < 0.0001, for the change in both mean and SD). Average ocular component change was characterized by increases in axial length, thinning, and flattening of the crystalline lens, increases in lens equivalent refractive index, and decreases in lens and corneal power. Initial refractive error was associated in a nonlinear manner with the change in refractive error (R2 = 0.41; P < 0.0001) and with axial growth (R2 = 0.082; P = 0.0005). Reduction in hyperopia correlated significantly with increases in axial length (R2 = 0.16; P < 0.0001), but not with changes in corneal and lenticular power. Decreases in lenticular and corneal power were associated with axial elongation (R2 = 0.40, R2 = 0.12, respectively; both P < 0.0001).
CONCLUSIONS. Modulation in the amount of axial growth in relation to initial refractive error appeared to be the most influential factor in emmetropization of spherical equivalent refractive error. The associations between initial refractive error, subsequent axial growth, and change in refractive error were consistent with a visual basis for emmetropization. The cornea and crystalline lens lost substantial amounts of dioptric power in this phase of growth, but neither appeared to play a significant role in emmetropization.
Also poorly understood is the role played in emmetropization by the ocular components, such as the cornea or crystalline lens. The visual feedback model of emmetropization holds that defocus modulates the axial growth of the eye to reduce refractive error. Visual guidance of ocular growth might therefore be termed an "active" mechanism. In contrast, the cornea and lens could be important contributors to emmetropization if the eye grew at a certain random rate, but changes in the power of the cornea and crystalline lens occur in appropriate proportion to the initial refractive error. The crystalline lens loses substantial amounts of power during infancy.7 If the crystalline lens and cornea lost relatively small amounts of power in comparison with the dioptric effect of axial growth, then highly hyperopic infants would lose hyperopia quickly and move rapidly toward emmetropia. Infants with little initial hyperopia could move more slowly toward emmetropia if lenticular or corneal power decreased by a large number of diopters per millimeter of axial growth. Emmetropization could therefore result from the loss of anterior segment power at different rates, depending on initial refractive error. Variation in the contribution of the equatorial gradient index profile to power changes during axial growth has been proposed as a source of graded changes in lenticular power.7 Emmetropization resulting from this type of optical coordination between lenticular power change, corneal power change, and initial refractive error might therefore be termed "passive," because visual guidance of axial growth would not be necessary. This particular type of passive emmetropization would be distinct from a previously described passive mechanism for emmetropization due to scalingthe decrease in refractive error as a proportion of the decreasing power of the eye.8
The purpose of the Berkeley Infant Biometry Study (BIBS) is to document the development of the major optical ocular components during emmetropization. The purpose of this report is to examine how the major ocular componentsnamely, axial length, corneal power, and crystalline lens powerchange to produce emmetropia and whether that process operates more by an active or passive process. Support for an active mechanism would come from evidence of emmetropization through modulation of axial growth, analogous to that seen in animal experimentation, whereas a passive mechanism would be inferred from emmetropization occurring primarily through modulation of corneal and lenticular power.
| Methods |
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All reported biometric measurements were performed on the right eye only. Keratometry and phakometry were performed with a custom, hand-held, video-based phakometer described in detail elsewhere.7 An equivalent refractive index and radii of curvature for the crystalline lens were determined by using an iterative procedure that produced agreement between the measured refractive error and that calculated from ocular component values.10 This hand-held method produces measurements comparable to the conventional slit lamp mounted phakometer used in a large-scale longitudinal study of school-aged children.10 The average difference between the two techniques was 0.03 ± 0.22 D in a validation study of 35 6-year-old children. The lens and corneal dimensions analyzed were the averages of the two meridians. Ocular axial dimensions were measured with an A-scan ultrasound (model 820; Carl Zeiss Meditec, Dublin, CA). Measurements were taken through the closed eyelid in semiautomatic mode, with the "dense cataract" setting at 100% gain. This method has been shown to produce results comparable to the standard corneal contact technique.11 12 One comparison found a 0.05-mm difference in axial length,12 whereas another found that the through-the-lid technique resulted in thicker lenses by 0.12 mm and longer vitreous chambers by 0.18 mm.11 Any small bias present in the technique would be expected to cancel out as differences between examinations were taken to calculate longitudinal change. The repeatability (95% limits of agreement) of the through-the-lid measurement technique on adults was ±0.32 mm,12 similar to that with the corneal contact technique.13 The repeatability between two examinations of infants 3 to 7 months in age was ±6.22 D for lenticular power and ±0.84 mm for vitreous chamber depth,14 roughly twice that in children.15 Given these estimates for repeatability, a sample size of 210 was calculated to provide power of at least 0.90 to find differences of 0.13 mm in axial growth and 1 D in change in lenticular power between hyperopes above compared with below the upper tertile for refractive error at 3 months (+2.50 D).
Data were transmitted to the Optometry Coordinating Center at The Ohio State University for dual data entry. The Optometry Coordinating Center verified that all forms were accounted for. A computer running commercial software (SAS ver. 8.0; SAS Institute, Cary, NC) was used for verification of ranges and missing information, as well as for data analysis. Regression analyses were used to assess the relationship between ocular components (SAS JMP, ver. 3.1.5; SAS Institute). Paired Students t-tests were used to compare mean refractive errors between examinations. The correlated variances for refractive error were compared using the method described by Cox and Hinkley.16
| Results |
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+3.00 D decreased from 24.8% at 3 months of age to 5.4% at 9 months. The average refractive error decreased from +2.16 D at 3 months to +1.36 D at 9 months (P < 0.0001). In addition, the SD of the distribution of refractive error decreased between 3 and 9 months (1.30 D compared with 1.06 D, respectively; P < 0.0001).16 Gender was not a factor in this process. The change in refractive error was not different between boys (0.84 ± 0.93 D) and girls (0.76 ± 0.87 D; P = 0.51, two-sample t-test). Axial growth was also similar for each gender between 3 and 9 months of age at 1.20 ± 0.54 mm in boys and 1.20 ± 0.49 mm in girls (P = 0.97, two-sample t-test).
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| Discussion |
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Substantial emmetropization took place between 3 and 9 months of age, with significant reductions in both average refractive error and its variance. Emmetropization appeared to be a rapid phenomenon. Cross-sectional and longitudinal data suggest that most emmetropization takes place between 3 and 12 months of age.9 19 20 21 No significant differences in spherical equivalent refractive error were found between 9 and 36 months in BIBS infants in a separate analysis of astigmatism and emmetropization.9 Modulation in the amount of axial growth was the major factor associated with emmetropization. Higher initial levels of hyperopia were related to faster rates of axial growth, and this faster growth was effective in decreasing hyperopia. This net decrease in hyperopia occurred despite decreases in both corneal and lenticular power. Changes in corneal and lenticular power were not independent of axial growth, but rather showed significant negative correlations with increases in axial length (Figs. 4A 4B) . Axial growth appeared to dominate in this optical "give and take," as the net effect of the correlated growth of length and optical power was a loss of hyperopia.
It seems likely that the human eye, as in neonate animals, is responding to some feature related to refractive error through active visual feedback to reduce the amount of refractive error. The relationships between initial hyperopia, axial growth, and refractive change are consistent in a model of active, visually controlled emmetropization. BIBS results are comparable to emmetropization studies in neonate monkeys in which imposed defocus from spectacle lenses was used.4 Similar to infant monkeys, compensation occurred in a linear fashion in response to a range of initial refractive errors from near emmetropia to moderate hyperopia. The linear range of effective emmetropization was qualitatively smaller in infants, from approximately +1 to +5 D of initial hyperopia compared with 2 to +8 D in monkeys.4 A limited effective range could be responsible for the departures from linearity observed in Figure 2A for refractive change. The most highly hyperopic infants, those in excess of +5 D, tended to not emmetropize effectively, creating an inflection in the curve at that point. This was also suggested by other recent longitudinal data.19 A clinical trial of correction of infant hyperopia has also shown a persistence of initially high levels of hyperopia.22 Conversely, those infants with initial refractive errors closer to emmetropia either changed little or (rarely) became myopic, creating the second inflection in this curve.
Although the axial response in proportion to initial refractive error suggests an active emmetropization mechanism analogous to that in animal experimentation, another nonvisual hypothesis for emmetropization, proportional growth, should also be discussed.8 This model states that if refractive error is maintained as a constant proportion of total eye power throughout growth, refractive error decreases as the size of the eye increases and its power decreases. The refractive error produced by proportional growth was estimated from BIBS data by multiplying the power of the eye at 9 months by the ratio of refractive error at 3 months and the power of the eye at 3 months. The estimated refractive error at 9 months calculated from emmetropization due to scaling was +2.11 ± 1.25 D, representing virtually no emmetropization compared with the initial value of +2.16 ± 1.30 D at 3 months. The observed value at 9 months of +1.36 ± 1.06 D clearly demonstrates emmetropization has occurred beyond the effects of scaling. This result is consistent with a recent longitudinal study of refraction and ocular growth in infants that also found that the older eye is not a simple scaled version of the infant eye.19
Axial growth correlated inversely with changes in corneal and crystalline lens power, but the question arises of which component "drives" the correlation between the two. At least two alternatives are possible: that equatorial expansion of the eye creates a flatter, less powerful cornea and lens, or that intrinsic power losses for the cornea and lens create hyperopic defocus that stimulate continued eye growth. The first alternative is based on van Alphen size and stretch factors.23 According to this model, the cornea becomes flatter because of increased eye size, and the lens flattens because of the equatorial stretch. The second alternative follows from animal models of active emmetropization. Some combination of the two is possible, but we propose that the first alternative is more likely. The lens thinning that was observed seems most easily explained by stretching. The lens actively grows during the period between 3 and 9 months of age. Lens wet weight is expected to increase by 10% during this time.24 The simple addition of new fibers should flatten and thicken the crystalline lens. Concurrent flattening and thinning of the crystalline lens is consistent with the van Alphen stretch operating as a coordinating factor between axial growth and lenticular power change in infancy. If lens power changes occur because of equatorial stretching and lens power changes correlate highly with axial growth, then equatorial and axial expansion may be related in normal infant eye growth. Correlated equatorial and axial change does not always occur; animal experiments suggest these two dimensions may be regulated separately.25 26 27 28 They may not be regulated separately during normal development, or their separate regulators may be correlated through some common process.
The slope of the relationship between change in lenticular power and axial growth is also not consistent with the hypothesis that changes in lenticular power add to hyperopic defocus and stimulate eye growth. The refractive change that results from hyperopic refractive error typically approaches 1:1. For example, an orthogonal regression performed on the data in Figure 2B over a clearly linear range of emmetropization, between initial refractive errors of 0.00 to +3.00 D, gives a slope of 0.96. Smith and Hung4 found that compensation over the effective emmetropization range in infant monkeys had a slope of 0.78. With the considerations of effectivity and that each millimeter of uncompensated axial growth in an infant eye is equivalent to approximately 4.8 D of refractive error, it would take 7 to 9 D of change in crystalline lens power to stimulate each millimeter of axial compensation. This prediction clearly exceeds the slope seen in Figure 4A (4.1 D/mm by orthogonal regression). It seems unreasonable to assume that the eye has a different sensitivity to defocus caused by refractive component errors compared with axial errors. It seems more reasonable to assume that changes in lenticular power occur at a rate of approximately 4 D/mm during axial growth, as a byproduct of stretching.
We conclude that the change in refractive error between 3 and 9 months of age shows evidence of active emmetropization analogous to that in animal experimentation. An active contribution was seen in the modulation of axial growth in response to initial refractive error and in its relationship with change in refractive error. Although the cornea and crystalline lens underwent substantial decreases in power, these changes were not of sufficient magnitude to prevent emmetropization, nor did they make passive contributions to emmetropization.
| Acknowledgements |
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| Footnotes |
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Submitted for publication August 30, 2005; revised January 8 and 31, March 4, and April 5, 2005; accepted April 25, 2005.
Disclosure: D.O. Mutti, None; G.L. Mitchell, None; L.A. Jones, None; N.E. Friedman, None; S.L. Frane, None; W.K. Lin, None; M.L. Moeschberger, None; K. Zadnik, None
The publication costs of this article were defrayed in part by page charge payment. This article must therefore be marked "advertisement" in accordance with 18 U.S.C.
1734 solely to indicate this fact.
Corresponding author: Donald O. Mutti, The Ohio State University College of Optometry, 338 West Tenth Avenue, Columbus, OH 43210-1240; mutti.2{at}osu.edu.
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