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Response to Interrupted Hyperopia After Restraint of Axial Elongation in Tree Shrews

Siegwart, John T. Jr.*; Norton, Thomas T.

doi: 10.1097/OPX.0b013e31827cda85
Original Articles

Purpose To determine if early restraint of axial elongation in response to plus lenses increases the subsequent response to interrupted hyperopia in tree shrews.

Methods The normal interrupted hyperopia group (n = 5) had normal visual exposure until 24 days of visual experience (VE). Then, from 24 to 45 days of VE, the animals wore binocular −4-diopter (D) lenses, which shifted the refractive state of the eyes in the direction of hyperopia. Interrupted hyperopia was produced by removing the lenses for 2 hours per day. The early-restraint interrupted hyperopia group (n = 5) wore binocular +4-D lenses continuously from 11 to 24 days of VE, becoming emmetropic with the lenses in place and hyperopic when they were removed. Then, from 24 to 45 days of VE, the lenses were removed 22 hours per day and replaced for 2 hours per day. This created the same initial regimen of interrupted hyperopia as in the normal interrupted hyperopia group. A plus lens control group wore binocular +4-D lenses (n = 5) continuously from 11 to 45 days of VE to assess the stability of the refractive compensation.

Results In the normal interrupted hyperopia animals, 2 hours of relief from the imposed hyperopia was sufficient to prevent myopia development. In the early-restraint interrupted hyperopia animals, 2 hours of relief from the hyperopia did not prevent myopia development; the eyes became myopic while wearing the lens. The control animals compensated for the +4-D lenses and maintained a stable with-the-lens emmetropia through 45 days of VE, demonstrating that the myopic shift in the early-restraint group was caused by the interrupted hyperopia.

Conclusions Compensation for plus lenses, involving slowed axial elongation, increases the response to subsequent interrupted hyperopia. Similar to previous reports of an eye size factor in elongated eyes, these data provide evidence for an eye size mechanism operating, in this case, in eyes that have restrained their axial length.



Department of Vision Sciences, School of Optometry, University of Alabama at Birmingham, Birmingham, Alabama.

John T. Siegwart, Jr. Department of Vision Sciences 302 Worrell Bldg University of Alabama at Birmingham Birmingham, Alabama 35294 e-mail:

At birth, animal and human eyes have a broad distribution of refractive errors. Typically, but not universally, they are hyperopic.1–8 This broad distribution may reflect normal variability between the genetically determined focal plane and the (at birth) genetically determined axial length.9 In most individuals, a visually guided emmetropization mechanism10–14 rapidly reduces the initial refractive error and interocular differences; most eyes achieve near emmetropia (typically, a slight hyperopia) within weeks (chick, tree shrew, marmoset, guinea pig) or months (macaque monkey, human).1–8,15–18

This emmetropization mechanism corrects the mismatch between the focal plane and the axial length by modulating axial growth above, or below, that which would occur solely from genetically determined growth (the “unadjusted” axial elongation rate).9 The eyes of human infants who are hyperopic at 3 months of age grow axially more rapidly during the next 6 months than do the eyes that are emmetropic.16 In animals, hyperopia, produced by wearing a minus lens, similarly produces an increase in axial elongation rate (vitreous chamber depth) so that the eye becomes emmetropic while the lens is in place.19–23 With the lens removed, the eye is myopic and also is elongated compared with untreated fellow control (or normal) eyes.

It is well established that, if minus lens wear or form deprivation is discontinued, the elongated eyes in juvenile animals experience myopic refractive error and typically will recover from this myopia by slowing their elongation rate.24,25 The recovery is visually guided and results in the eyes regaining emmetropia with an axial length that matches that of untreated fellow control eyes or normal eyes.19,25–29

Previous studies have found that an “eye size factor” or “shape factor” interacts with the emmetropization mechanism in elongated eyes.13,30,31 When exposed to the same refractive conditions, elongated eyes respond differently than do normal-sized eyes. For example, Nickla et al.30 found, in chicks that were myopic after form deprivation, that removing the diffuser 2 hours per day was sufficient to produce slowed eye growth and refractive recovery despite being form deprived the rest of the time. In contrast, normal chicks that experienced the same 2 hours of refractive myopia, produced with a plus lens, and also form deprived the rest of the time, did not respond with slowed eye growth or refractive compensation. The two groups of animals experienced a similar degree of initial myopia, but the elongated eyes responded to the myopia much more strongly than did the plus lens–treated normal-sized eyes. A similar difference was found in tree shrews when recovery from minus lens wear was compared with continuous plus lens wear in age-matched juvenile tree shrews.32 In both these studies, the eye size factor seemed to act in concert with the myopic refractive error; the elongated eyes responded more powerfully, with slowed elongation, to the same myopic refractive stimulus.

In the present study, we investigated whether an eye size factor may also exist in shortened eyes that have restrained their elongation. Our hypothesis was that eyes that have restrained their axial growth in response to plus lens wear, and have become shorter than normal, will respond more strongly to hyperopia than will age-matched normal eyes. To examine this, we compared a group of normal tree shrews with a group that had compensated for plus lenses, exposing each group to the same hyperopic conditions. Note that throughout this report, we describe the refractive state of the eyes, but because we did not control for viewing distance or make direct measures, we do not speculate on the amount of myopic or hyperopic defocus that the eyes may have experienced.

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Subjects and Experimental Groups

Maternally reared tree shrews (Tupaia glis belangeri), housed in a breeding colony on a 14-hour light ON/10-hour light OFF schedule, were the subjects in this study. The animals were housed in individual cages with illuminance of 500 to 1000 lux measured at the top of the cages. All procedures adhered to the ARVO Statement for the Use of Animals in Ophthalmic and Vision Research and were approved by the Institutional Animal Care and Use Committee of the University of Alabama at Birmingham.

As illustrated in Fig. 1, there were three experimental groups. The normal interrupted hyperopia group (n = 5) had normal visual experience (VE) until 24 days of VE (days of visual experience; days after natural eyelid opening at approximately 20 postnatal days).2 From 24 to 45 days of VE, they then wore binocular −4-diopter (D) lenses, which shifted the refraction in the hyperopic direction. The lenses were removed for 2 hours per day from approximately 9:30 to 11:30 AM, providing relief from the lens-induced hyperopia.



The early-restraint interrupted hyperopia animals (n = 5) wore binocular +4-D lenses from 11 to 24 days of VE and became emmetropic while wearing the lenses. Starting at 24 days of VE, the lenses were removed for 22 hours per day, which made the eyes hyperopic, and replaced for 2 hours per day from approximately 9:30 to 11:30 AM. Both the normal and the early-restraint interrupted hyperopia animals initially experienced a hyperopic refractive state (of ~4 D) starting at 24 days of VE for 22 hours per day (12 hours while the colony lights were on) and had relief from the hyperopia for 2 hours per day. In the normal group, the relief was achieved by removing the −4-D lens for 2 hours per day; whereas in the early-restraint group, it was achieved by wearing the +4-D lens for 2 hours per day.

We did not use continuous hyperopia for either the normal or early-restraint group because it is such a powerful stimulus that it would be expected to produce elongation in all eyes and would overwhelm any eye size effect.19,20,23,33 Rather, we compared the early-restraint animals versus normal animals using a well-established temporal nonlinearity that has been observed in the response of the eyes of several species to lens-imposed hyperopia: if the imposed hyperopia is removed for 2 hours per day, allowing the eyes relief from the hyperopia, normal eyes do not elongate to compensate for the hyperopia, even though it is present the rest of the day.34–36 Our prediction was that the eye size factor would cause the early-restraint eyes, when exposed to interrupted hyperopia, to respond differently from the normal eyes and to develop a myopic shift in refraction that was associated with a return toward age-normal axial length.

Finally, a plus lens control group (n = 5) wore binocular +4-D lenses continuously for 34 days, from 11 to 45 days of VE, to verify that continuous plus lens wear would result not only in attaining with-the-lens emmetropia but that this refractive condition would remain stable throughout the time period when interrupted hyperopia was experienced by other groups. At 45 days of VE, lens wear was discontinued and the refractions measured during a period of 25 days to monitor the expected posttreatment refractive recovery produced by continuous hyperopia. Four of the animals had A-scan ultrasound measures of ocular component dimensions using similar procedures as in previous studies2 at 10, 45, and 70 days of VE. The data from these animals were previously reported as part of the “young +4-D lens” group by Siegwart and Norton.32

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Goggle Procedure and Ocular Measurements

A lightweight aluminum goggle clipped onto a dental acrylic pedestal attached to the animal’s head was used to hold clear poly(methyl methacrylate) lenses (12-mm diameter, no edge bevels to give a maximum optical zone, Conforma Contact Lenses) in front of the eyes.37 The dental acrylic pedestal was installed at 10 ± 1 days of VE, as previously described.38 Immediately before the pedestal was installed, A-scan ultrasonography was performed2 under anesthesia (ketamine, 17.5 mg; xylazine, 1.2 mg) to ensure that there were no abnormal axial differences between the eyes and to establish a pretreatment axial length.

Lens treatment was begun by clipping the goggle onto the dental acrylic pedestal at the appropriate age (24 days of VE for the normal interrupted hyperopia group or 11 days of VE for the early-restraint interrupted hyperopia and the plus lens control groups). The lenses in all groups were cleaned twice each day at approximately 9:00 AM and 4:30 PM.

From 11 days of VE, refractive measures were made each day at approximately 9:00 AM. In lens-wearing groups, the measures were made both with the lens removed and also with the lens in place.19,32 Comparison of with and without the lens measurements in the tree shrews achieved two purposes: (1) it allowed us to measure the refractive state that the eyes experienced while wearing the plus or minus lenses; and (2) it showed that the eyes, even in the case of the binocular minus lenses, did not use accommodation to alter the effective power of the lenses, at least while the measurements were taken. All refractive measures were made in awake animals with an autorefractor (Nidek, Gamagori, Japan).

Because an emmetropic refractive state in these small eyes yields an autorefractor measure of approximately +4 D,39–41 this amount has been subtracted from all refractive values. Previous comparisons of cycloplegic versus noncycloplegic refractive measures with this instrument in tree shrews found a slight (~0.8 D) hyperopic shift under atropine cycloplegia and similar differences in refraction between treated and control eyes.42

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Paired t tests were used to test for differences between the right and left eyes within each group at the end of treatment. No statistically significant right-left eye differences were found in any binocular treatment group (paired t test, p > 0.05). Therefore, the mean spherical equivalent value of the right and left eye for each animal was used for further data analysis. Unpaired t tests were used to examine differences between groups. Examination of the data with nonparametric statistics showed the same significant differences.

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Normal Interrupted Hyperopia Group

The daily noncycloplegic refractions of the normal animals that wore binocular −4-D lenses with 2 hours relief per day are shown in Fig. 2. Before lens wear began at 24 days of VE, the refractive state of the eyes moved from an initial (11 days of VE) hyperopia of 6.9 ± 1.5 D (mean ± SEM), relative to estimated emmetropia, to a refraction of 1.6 ± 0.2 D at 24 days of VE, following the pattern seen in normal animals.2,15,19 When interrupted -4-D lens wear began at 24 days of VE, as shown in Fig. 2, a 3- to 4-day myopic shift was noted in the refractions of all five animals, both in measures made with and without the lenses in place over the eyes. During the period of interrupted −4-D lens wear, the mean normal daily refraction from 24 to 45 days of VE was 1.0 ± 0.1 D whereas the mean value in the treated group was 0.4 ± 0.1 D. This difference was significant (unpaired t test, p < 0.05). The early myopic shift seemed to be transient. After 21 days of treatment (45 days of VE), the eyes measured without the lenses in place (0.3 ± 0.4 D) were not significantly lower than those of age-matched normal eyes. When the eyes were measured with the −4-D lenses in place at the end of treatment (45 VE), they were 4.3 ± 0.4 D hyperopic. This refractive stability when exposed to 22 hours per day of hyperopia is a similar result to that published previously with animals that were treated monocularly.34 In both studies, 2 hours of relief each day from hyperopia counteracted the myopiagenic effect of the negative lenses that, if left in place 24 hours per day, produce refractive compensation so that the eyes are emmetropic wearing the lenses and myopic when they are removed.19



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Early-Restraint Interrupted Hyperopia Group

The daily noncycloplegic refractions of the early-restraint animals that wore +4-D lenses continuously from 11 to 24 days of VE, followed by interrupted hyperopia, produced by lens removal for 22 hours per day from 24 to 45 days of VE are shown in Fig. 3. At the onset of plus lens wear, the refractions of this group were 6.0 ± 0.5 D, a value similar to that found in previous studies.32 For the first 1 to 2 days after the onset of plus lens treatment, the eyes continued the normal rapid decrease in refractive state and all eyes became myopic with the lenses in place (filled circles in Fig. 3). The eyes then gradually compensated for the myopia produced by the lenses and, by 24 days of VE, were approximately emmetropic (−0.1 ± 0.5 D) with the lenses in place but significantly less hyperopic (p < 0.05, unpaired t test) than normal eyes that were 1.2 ± 0.1 D at 24 days of VE. With the +4-D lenses removed, the eyes were 4.5 ± 0.2 D hyperopic. Starting at 24 days of VE, the animals were exposed to this hyperopia by removing the lenses. Relief from this hyperopia was provided for 2 hours per day by replacing the +4-D lenses. In contrast to the normal interrupted hyperopia animals, the refractions gradually moved in a myopic direction and, at the end of treatment, the eyes were, on average, −2.2 ± 0.3 D myopic with the lenses in place and still slightly hyperopic (2.7 ± 0.3 D) with the lenses removed.



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Continuous +4-D Lens Group

The average refractive state of the continuous plus lens animals at the start of daily +4-D lens wear (11 days of VE) was 4.2 ± 1.0 D of hyperopia relative to estimated emmetropia (open circles in Fig. 4A). This starting value was lower than the other groups at 11 days of VE, but the difference between the groups was not significant (analysis of variance, p = 0.17). The plus lenses shifted the refraction to near emmetropia. The eyes continued the normal rapid decrease in refractive state for 1 to 2 days, and all eyes became myopic with the lenses in place (filled circles in Fig. 4A). The eyes then gradually compensated for the myopia produced by the lenses and, by 24 days of VE, were emmetropic (0.0 ± 0.5 D) with the lenses in place. After three more weeks of lens wear (45 days of VE), the eyes were still nearly emmetropic with the lenses in place (−0.8 ± 0.4 D) and with the lenses removed were hyperopic 3.8 ± 0.5 D. However, the refractive state of these eyes (1.0 ± 0.1D) was significantly lower than the age-normal hyperopia of normal eyes (unpaired t test, p < 0.01). Importantly, the with-the-lens emmetropia experienced continuously was sufficient to maintain the eyes stable refractions during the period from 24 to 45 days of VE. When the plus lenses were removed at 45 days of VE, exposing the eyes to a continuous hyperopic refractive state, the eyes responded fully and had returned to emmetropia by 70 days of VE.



The A-scan ultrasound measures were made at 10, 45, and 70 days of VE in four of the five binocular plus lens animals (Fig. 4B). The average vitreous chamber depth decreased below normal (Fig. 4B, 3.05 ± 0.02 mm vs 3.14 ± 0.03 mm, unpaired t test, p < 0.05) during lens treatment. A similar slowing of the elongation rate during plus lens treatment in tree shrews was found by Metlapally and McBrien.43 When plus lens wear was discontinued, the vitreous chamber depth increased toward age-normal values.

It must be noted that axial ocular component dimensions were not measured at the start of interrupted hyperopia in the early-restraint interrupted hyperopia animals because to do so would have required anesthesia that might have in some way interfered with the ability of the emmetropization mechanism to control the axial elongation rate. However, the measures made on the continuous plus lens group showed that plus lens wear caused a slowing of axial elongation and removal of the plus lenses produced increased axial elongation and the myopic shift in refraction. By extrapolation, it is reasonable to assume that similar axial changes occurred in the early-restraint interrupted hyperopia animals. For similar reasons, axial ocular component dimensions were not measured in the normal interrupted hyperopia group. Given the lack of refractive changes in the group, it is unlikely that there were any significant changes in ocular component dimensions.

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Previous studies provide clear evidence that an emmetropization mechanism guides eyes toward emmetropia in the early “infantile”44 postnatal period6,7,10–14,16 and remains active throughout the slower growth “juvenile”44 period.19,24,25,45 In some instances, it continues to function into adulthood.19,46,47 This mechanism is able to guide eyes toward emmetropia from both hyperopia and from myopia by increasing or decreasing the axial growth of the eye.

The existence of a visually guided emmetropization mechanism is generally accepted, although the details of the underlying biological mechanism are not fully known. The results of this, and previous studies, demonstrate that visually guided deviations of axial length from that which would occur without visual guidance (the “unadjusted axial length”9 ) modify the eye’s response to future visual guidance. These data demonstrate an eye size effect on the performance of the emmetropization mechanism and provide evidence for an eye size mechanism that in essence competes with the emmetropization mechanism for control of axial length. Although the goal of the emmetropization mechanism is to eliminate refractive error by driving the eye away from the unadjusted axial length if that length does not, by itself, match the optical power of the eye, the goal of the putative eye size mechanism seems to be to return the eye to the unadjusted axial length.

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The Eye Size Effect Is Symmetrical

The results of this study, in combination with previous data, provide evidence that the effects of visually guided adjustment of axial length on the emmetropization mechanism are symmetrical. Examples of eye size effects in elongated eyes, described in the Introduction30,32 and in other studies,13,26,31 show that essentially continuous, consistent refractive guidance is necessary to maintain eyes in an elongated state. The primary finding of the present study, as summarized in Fig. 5, is that continuous, consistent refractive guidance is also necessary to maintain eyes in a shortened axial condition. Thus, visually guided deviation from the unadjusted axial length in either direction seems to produce a heightened sensitivity to visual stimuli (myopia in elongated eyes, hyperopia in the shortened eyes of the present study) that would return the eye to the unadjusted axial length if they were present continuously. The most stable axial length seems to be the unadjusted axial length. Zhu et al.48 reached a similar conclusion regarding the choroid: “Eyes in which the visual and shape factors were in the same direction (removal of spectacle lenses) showed greater changes … than those in which lens compensation required further deviations from normal eye dimensions.”



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Possible Mechanism

If an eye size mechanism does exist, some form of information storage must occur—a form of homeostatic memory27,31 or “chalone”49—so that eyes that have increased, or slowed, their axial elongation rate retain knowledge of the unadjusted axial length. This memory could reside in the retina, retinal pigment epithelium, or choroid, where altered eye length might somehow alter the temporal integration of “go” and “stop” visual stimuli in a way that moves the eye back toward the unadjusted axial length. However, based on our studies of sclera,50–53 we speculate that the symmetrical eye size effect could have its basis in tree shrews in the macrostructure of the sclera (the waviness of the collagen lamellae) and the alterations to that structure that occur when axial length is decreased or increased.

The nature of the information “storage” may differ across species. In chicks, eye enlargement in response to form deprivation or minus lenses involves increased growth of the cartilaginous inner scleral layer. In eutherian mammals, like tree shrews, there is no inner cartilage layer; the sclera is a fibrous extracellular matrix composed of layers (lamellae) of type I collagen, proteoglycans, and other materials that are remodeled under the control of a signaling cascade originating in the retina.53,54 Like collagen in other structures,55 the bundles of collagen within the flattened scleral layers (lamellae) are wavy as they are laid down by the scleral fibroblasts under normal intraocular pressure. This wavy pattern may constitute the normal, or baseline, collagen pattern. When scleral remodeling is increased during minus lens wear or form deprivation, the loss of material and attachments between the lamellae53,56 may allow the layers to slip across each other and redistribute stress to the collagen lamellae that decreases the waviness. This straightening of the wavy collagen could create potential energy and motive force for slowed axial elongation and a return to normal waviness during recovery from minus lens treatment or form deprivation.57 The effects of plus lens wear on sclera have not been measured but might include increased waviness (collagen “crimping”)55,58 that would facilitate expansion of the sclera to return to the normal less wavy pattern.

Research clearly indicates that the emmetropization mechanism is not a single discrete biological mechanism but rather a series of linked biological mechanisms in the retina, retinal pigment epithelium, choroid, and sclera. The same may be true for the putative mechanism that produces the observed eye size effects. Although further research is needed to uncover the biological mechanisms that produce the symmetrical eye size effect, it is clear that, in experimental animals, visually guided adjustment of axial length modifies the performance of the emmetropization mechanism compared with an eye with unadjusted axial length. The act of responding to refractive error modifies the future response to refractive error.

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Analogy with Children Born Myopic?

Although the direct evidence for a symmetrical eye size effect is from animal models, a potential implication of an eye size mechanism for human myopia should be discussed. In the animals, the emmetropization mechanism produced slowed axial elongation to achieve refractive emmetropia. Potentially, the eyes of at least some children who are born myopic and who initially achieve emmetropia59,60 may undergo a similar restraint of elongation; to achieve emmetropia, the emmetropization mechanism reduces growth below the rate that would have occurred if there were no intervention by the emmetropization mechanism. If the data from the continuous plus lens tree shrews pertain to humans, more or less continuous emmetropic guidance can prevent the eye size mechanism from moving the eyes back to a longer length that, in these children, would make the eyes myopic.

Like our early restraint tree shrews, these eyes may be more responsive to interrupted hyperopic defocus associated with nearwork61 than are eyes in which the emmetropization mechanism has not needed to slow the elongation rate to achieve emmetropia. As shown in previous studies, children born myopic are more likely to develop myopia later in life than are children who are born hyperopic59,60 perhaps, at least in some cases, because of the action of an eye size mechanism.

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The results of the present study show that early restraint of the axial elongation rate predisposes the eyes of juvenile tree shrews to respond more strongly to a myopiagenic visual condition (interrupted hyperopia) than do eyes that have not similarly restrained their axial growth rate. This situation does not involve a genetic abnormality nor does it require an abnormality or alteration in the functioning of the emmetropization mechanism. The prior restraint of axial elongation may place the emmetropization mechanism at a disadvantage in its efforts to oppose a putative eye size mechanism when exposed to visual conditions that include interrupted hyperopia. Whether a similar mechanism occurs generally in vertebrates remains to be examined as does the question of how long a period of relief from hyperopia (more than the 2 hours used in this study) is needed after early restraint to counteract the actions of the eye size mechanism.

John T. Siegwart, Jr.

Department of Vision Sciences

302 Worrell Bldg

University of Alabama at Birmingham

Birmingham, AL 35294-4390


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Supported by grants RO1 EY005922 and P30 EY003909 (CORE).

Received March 1, 2012; October 10, 2012.

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myopia; animal models; refractive error; emmetropization; susceptibility; axial elongation; eye size mechanism

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