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1From the Division of Pediatric Ophthalmology, The Childrens Hospital of Philadelphia, Philadelphia, Pennsylvania; the 2Department of Ophthalmology, Scheie Eye Institute-University of Pennsylvania, Philadelphia, Pennsylvania; the 3The Childrens Hospital, Dublin, Ireland; and the 4Pennsylvania College of Optometry, Philadelphia, Pennsylvania.
| Abstract |
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METHODS. Seventeen subjects, ages 7 to 53 (median 16) years and mean spherical equivalent refractive error -0.68 D (range, -3.00 to +1.00 D), underwent axial length measurements at multiple times during the day between 7 AM and 1 AM the following day, using partial coherence interferometry (PCI), a highly precise, noncontact method. Diurnal axial length measurements were obtained on two or more days in 10 of these subjects.
RESULTS. During at least 1 day, 15 subjects showed a statistically significant (ANOVA, P < 0.05) diurnal fluctuation of axial length, with a magnitude generally between 15 and 40 µm. From the diurnal tracings that fit a sine curve using statistical criteria, the mean period of fluctuation was 21.6 ± 4.33 hours (SD), the mean amplitude was 27.1 ± 11.9 µm (SD; range, 12.841.4 µm), and the maximum axial length tended to occur at midday. Each of the subjects with multiple daily measurements showed axial length fluctuations on at least 1 day, but there were day-to-day differences in the diurnal variations: most notably, four subjects showed axial length fluctuations on each day; in others, the fluctuations were not observed on each testing day.
CONCLUSIONS. The human eye undergoes diurnal fluctuations in axial length, with a pattern suggesting maximum axial length at midday. Based on repeated measurements, these daily fluctuations may not appear regularly in all subjects, suggesting the possibility of physiologic influences that must be defined.
We sought in the present study to learn whether the dimensions of the human eye fluctuate during the day. We conducted this investigation using partial coherence interferometry (PCI), a technique that provides highly precise axial eye measurements.13 In previously validating the PCI instrument that we used, we assessed the SE of the measurement (SEmeasurement), a conservative estimate of precision from which the 95% confidence interval can be determined.14 15 We found an SEmeasurement of 8 µm (95% confidence interval, 16 µm) for a single measurement series in individual subjects, aged 3 to 12 years.14 The precision of the axial length measurement can be increased further by making multiple measurement series. The resultant precision is thus represented by the SEmeasurement divided by
, where n is the number of measurement series. For example, if the results from five axial length measurement series are averaged, the SEmeasurement is reduced to 8.0 µm
, or 3.6 µm. Besides high precision, PCI is a noncontact technique and thus is well suited to clinical application, not only in adults, but also in children.
| Methods |
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Procedures
Subjects underwent axial length measurement with the PCI, without cycloplegia, using procedures described previously.14 In brief, subjects, stabilized by a head- and chin-rest and gently held in position by a hand supporting the back of the head, fixated on the instruments alignment beam. The eye was aligned in the apparatus with the aid of a video monitor. Measurements, using a measurement beam coaxial with the alignment beam, lasted 0.8 second. At each time of measurement during the day, three to five measurement series were obtained, each series comprising 16 individual PCI tracings. For the initial studies, measures were taken at four or five different measurement intervals between 7 AM to just after 12 AM.
To examine the consistency of intraday fluctuations, we requested that 10 subjects return for repeat measurements at intervals from 5 days to 8 months after the first measurement day. For these repeat daily measurements, subjects were measured at five to eight different times between 7 AM and 1 AM the following day. Eight of these 10 subjects were measured on one additional day; one subject had two repeat measurements, and another had three repeat measurements.
Data Analysis
A semiautomated algorithm14 was used to determine the axial length, defined as the distance from the corneal surface to an interference peak corresponding to RPE/Bruchs membrane.13 14 16 This axial length definition is analogous to ultrasonography, which measures axial length from the corneal surface to the inner retinal surface.17 An average daily axial length was calculated for each day for each subject, using the mean axial length of all measurement series taken on that day for that subject.
Maximum measured axial length fluctuation during the day for each subject was calculated as the difference between the mean axial length at the time of longest axial length and that of the shortest axial length. A one-way analysis of variance (ANOVA) with replicate measures using a generalized linear model (SAS 8.2; SAS Institute, Inc., Cary, NC) was fit to each individuals data from the study day to determine whether the axial length measured at any of the time points differed significantly from the others. We used a criterion of P < 0.05 from the ANOVA to identify subjects that showed significant intraday fluctuation in measured axial length.
For those diurnal axial length readings showing a statistically significant measured fluctuation (Tables 1 and 2) , an adjusted axial length was calculated by subtracting the average daily length from the measured axial lengths, and sine curve functions were fit to the adjusted length versus time of day data (SAS 8.2; SAS Institute, Inc.). The following model was used to curve-fit the axial length data:
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· time/
+
) = 1 for time, with the constraint of time between 0 and 24 hours and where
and
were the estimated period and phase, respectively, from the sin-curve fitting.
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| Results |
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Repeat studies were performed on a different day in 10 subjects (Table 2) , 7 of whom had shown statistically significant measured intraday fluctuations at the initial study (subjects A, B, C, E, G, H, and J) and 3 of whom had not (subjects N, P, and Q). The repeat studies were performed at time intervals from 5 days to 8 months, and several repeats were obtained in two subjects. The repeat measurements showed that, for a given individual, axial length fluctuations were not manifest on every examination day. Measured intraday axial length fluctuations were present in 9 of the 10 subjects at their second measurement day. In the five subjects with significant measured intraday axial length fluctuations at the first session who had only one additional session (subjects A, B, C, G, and H), four (all but subject A) had statistically significant measured fluctuations on the second testing day (Table 2) . Of the two subjects with more than two measurement sessions, one (subject E) showed significant axial length fluctuations in one of two additional sessions; the other (subject J), in two of three additional sessions. All three subjects who had not demonstrated a statistically significant fluctuation on the initial study day (N, P, and Q) showed significant measured fluctuations on repeat testing. The mean measured amplitude of daily axial length fluctuations for all studies that had significant measured axial length fluctuation was 27.3 ± 11.2 µm (SD; range, 14.264.2). When the significantly fluctuating axial length data were stratified by subject age, the mean fluctuation amplitude was 35.4 ± 13.9 µm (range, 14.264.2) for subjects 12 years of age or less (n = 8 studies). The mean fluctuation amplitude was 23.5 ± 6.6 µm (range, 15.835.3) for subjects more than 20 years of age (n = 10 studies). Despite the small sample size, this age difference reached statistical significance (P = 0.02, using the general equation estimate with correlation adjusted for repeated measurements).
Sine Curve Fitting
To provide a descriptive model to the pattern of intraday fluctuations, the data on all daily readings showing a statistically significant measured fluctuation were fit with a sine function (see the Methods section), constraining the period to 24 ± 12 hours. By using such a broad time constraint in the model, periodicity could be estimated from the available data. Examples of these fits are provided for subjects B (Fig. 1A) and C (Fig. 1B) . We used P < 0.05 as our main criterion for acceptable modeling by a sine curve. Sine fits for 13 studies in 12 subjects met this criterion with P < 0.05; for these fits, R2 ranged from 0.41 to 0.91 (Tables 1 and 2) . Thus, only approximately 60% of daily axial length readings with statistically significant measured intraday fluctuation could be modeled appropriately with a sine curve. An example of a waveform from a subject with significant measured intraday fluctuation that was not suitably modeled by a sine curve is shown for subject H (Fig. 1C) .
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In the subjects who returned for repeat measurement series at subsequent dates, the average daily axial lengths (Table 2) between the first and last measurement days were normalized to the initial series to illustrate eye growth during the study (Fig. 2) . Of the 10 subjects with at least two series, 9 showed axial lengthening: 4 by at least 100 µm (subjects A, B, C, and J), and 5 by < 100 µm (subjects E, G, N, P, and Q). In one subject, the last measurement was shorter than the first by 18 µm (subject H).
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| Discussion |
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Assuming that the optical power of the eye remains constant and that a 1-mm shift in the distance from the cornea to Bruchs membrane corresponds to 2.7 D of optical defocus,18 the mean daily axial length fluctuation, 27 µm, would correspond to a diurnal shift in the photoreceptor position of some ± 0.073 D in relation to the eyes image plane. While highly dependent on pupil size, illumination, contrast, and criteria for defocus, the focal depth for the human eye approximates 0.3 D.18 Thus, diurnal axial length fluctuations are probably too small to be detectable subjectively as shifting image clarity.
Daily axial length fluctuations were measured on most subjects but not on every day. For the first set of measurements, 12 of 17 eyes showed a diurnal axial length change (Table 1) . In the repeat diurnal measurements, obtained on 10 of these 17 subjects, fluctuating axial lengths were measured in three subjects (subjects N, P, and Q) who did not previously demonstrate them (Table 2) . Among the subjects with fluctuations on the initial day, all but one (subject A) showed fluctuation at another visit (Table 2) . Of the subjects measured on more than 2 days (subject E: 3 days; subject J: 4 days), all demonstrated axial length fluctuations on all days but one (Table 2) .
Explaining why subjects do not necessarily show a diurnal axial length fluctuation on every measurement day necessitates further research. Although we controlled for time of day, other potential influences were not controlled before or during the day of measurement. These could include sleep/wake times, diurnal lighting exposure, visual activity and diet, among the many factors that may influence a diurnal cycle. Designed as a pilot, the study included subjects of both sexes, with a range of ages and with varied refractions, and the sample size was too small to make definitive comparisons in relation to these conventional demographic variables.
The peak-to-trough amplitude of the daily axial length fluctuations in humans conforms broadly, though not precisely, to results in laboratory animals. In young marmosets, the peak-to-trough amplitude measures some 25 µm, increasing to some 40 to 60 µm in adolescent animals.11 In chicks, the peak-to-trough amplitude of axial length fluctuations approximates some 40 µm,8 9 perhaps double that,6 after correcting eye measurements for the particularly rapid growth in these eyes. The anterior chamber of chicks also undergoes a diurnal change in depth of approximately 20 µm, out-of-phase with the axial length fluctuations.9 Year-old chickens correspond developmentally to human adolescents. The eyes of year-old chickens do not undergo statistically significant differences in length between the beginning and end of the light phase of a 12-hour lightdark cycle, but a diurnal fluctuation could have been missed by inadvertently sampling at times when the axial lengths may have been similar.8 In young adult rabbits,10 a considerably higher peak-to-trough amplitude, some 160 µm, has been measured. In rabbit, some 80% of the axial length fluctuation can be explained by in-phase fluctuations in anterior chamber depth10 19 ; that is, structures different from the anterior chamber depth generate only some 30 µm of the diurnal axial length fluctuation.
Available data in marmosets11 and chicks8 suggest that daily axial length fluctuations vary with age. Further, the amplitude of daily axial length fluctuations in chicks may even be larger in faster-growing form-deprived eyes compared to eyes with intact visual input, though these comparisons did not reach statistical significance.9 Despite our small sample size, daily axial length fluctuations in human eyes seem to be larger in children, suggesting a dependency on perhaps age or ocular growth rate, but more research is needed both to substantiate and to clarify this result.
Because animal research has described daily eye length fluctuations as a diurnal rhythm, we assumed that the human data would also reveal a diurnal rhythm. Traditionally, physiological rhythms are fit with sine (or cosine) curves,20 and this model has been adopted for the eye length fluctuations of chicks,7 9 12 marmosets,11 and rabbits.10 We used this modeling strategy to learn whether the eye length fluctuations in humans conform to reports in laboratory animals, and then to estimate both the period of fluctuations and the time of maximum axial length. Many, but not all, of the measured fluctuations were reasonably well approximated by a sine curve (Tables 1 and 2) . Determination of why sine curves do not consistently model daily axial length fluctuations requires further study. For example, uncontrolled parameters, such as sleep/wake times, lighting exposure, visual activity, and diet, could be shifting a true diurnal axial length rhythm within a day and could account for poor sine fits. Alternatively, the length fluctuations could actually be induced by physiologic parameters that need to be defined. One potentially confounding parameter can be eliminated in humans, as PCI measurements in humans can be obtained without anesthesia, but the investigations in laboratory animals have required general or local anesthesia for ocular measurements.
The acceptable sine fits estimated a period of some 22 hours for axial length fluctuations. Circadian rhythms typically have endogenous periods on the order of 24 hours, ranging from 19 to 28 hours.21 Our estimate of the period of axial length fluctuations in humans not only conforms to these established periods for other physiologic rhythms, but it is close to the 20-hour period of axial length fluctuations estimated for chicks reared under constant darkness to reveal the endogenous rhythm.12 The period for axial length fluctuations in humans cannot be readily compared with other available data in animal eyes. Some animal studies6 8 only obtained readings twice daily and therefore cannot provide an estimate of periodicity. The other reports in chick, marmoset, and probably rabbit that fit data to a sine or cosine curve set the period at 24 hours,9 10 11 rather than using the data to determine the period.
The maximum axial length in our subjects occurred at midday or early afternoon. Only those animal studies with more than two measurements within a day permit any estimate of the time of maximum axial length. The approximate time of maximum axial length was found to be late in the light phase in young marmosets,11 near the onset of the light phase in adolescent marmosets,11 at the end of the dark phase in rabbits,10 and in the afternoon in chicks.9 Within the qualifications that the number of sampling times was limited and that general anesthesia was used in most of these animal studies, the time of maximum axial length in young marmosets and chicks seems to conform most closely to that observed in the present study in humans.
Diurnal axial length fluctuations are a recently described ocular rhythm in humans and several other species, and the physiologic control mechanism of this phenomenon has not yet been elucidated. One possibility is that the eye wall may passively stretch in response to diurnal changes in intraocular pressure (IOP). We did not measure IOP in the current study, as we were uncertain whether IOP measurement would impact on the accuracy of PCI measurements by disrupting the corneal epithelium either by the direct mechanical impact of applanation or by the pharmacological effects of local anesthetics. However, several observations suggest that IOP has a minor role, if any, in generating axial length fluctuations. The time of maximum axial length corresponds to the peak IOP in chicks7 8 and adolescent marmosets,11 but the timing of the maximum axial length is out of phase with the peak IOP in rabbits10 and younger marmosets.11 With twice daily measurements in chicks at the onset of light and just before the onset of dark, sympathectomy abolishes the daily IOP changes without altering daily axial length changes, thus dissociating the two rhythms.22 In rabbit, transection of the preganglionic input to the superior cervical ganglion markedly diminishes the dark-phase increase in IOP23 but has comparatively little effect on increasing axial length occurring during this time,10 similarly dissociating the diurnal IOP and axial length fluctuations. On balance, available results thus do not now support a major etiologic role for diurnal IOP fluctuations in generating daily axial length fluctuations.
Corneal thickness also undergoes daily changes, presumably from altered hydration.4 5 24 25 Even though PCI measures from the corneal surface and the magnitude of the daily variation in corneal thickness can approach that of the daily fluctuations in axial length, corneal thickness changes do not seem to explain the axial length fluctuations measured in the current study because of different time courses. Typically, the cornea is most hydrated and thickest on awakening, and it then thins rapidly over the first hour or two after eyelid opening.5 25 Because our subjects awoke at home and traveled to our facility, the PCI measurements began each day after the initial phases of corneal thinning on eyelid opening. In addition, the longest axial length occurred at midday or later, not at early morning when the cornea is believed to be thickest. As currently understood, changing corneal thickness is thus unlikely to be a primary determinant of the axial length fluctuations measured here. Importantly though, interactions of a diurnal cycle in axial length with other time-varying parameters such as corneal thickness or IOP may have contributed to some of the variability observed in the axial length measurements.
Differences in anterior chamber depth, comparing measurements at 7 AM to 7 PM, have been described in humans using a photographic method of comparatively low precision.26 The mean anterior chamber was found to be some 60 µm greater in the morning than later in the day,26 a larger amplitude than the mean axial length fluctuation measured in the present study. Because the stated precision of the photographic technique was only some ±100 µm and the data are not reported in a format that reveals the fluctuation amplitude in individual subjects,26 it is difficult to resolve the extent to which fluctuations in anterior chamber depth might contribute to the axial length fluctuations found in our study. Nonetheless, these results indicate a need to study diurnal fluctuations in anterior chamber depth with high-resolution methods and raise the possibility that, like rabbits, daily oscillations in anterior chamber depth could contribute significantly to the axial length fluctuations in humans.
The results presented herein address only the distance from the anterior corneal surface to RPE/Bruchs membrane. Other techniques are needed to address fluctuations of anterior and vitreous chamber depths and of choroidal thickness in human subjectsother ocular parameters that remain to be investigated in humans.7 8 9 10 11 19 26 Our PCI measurements would reflect changes in these parameters but are not able to isolate the relative contributions from the anterior segment, vitreous chamber, or choroid. Because the PCI signal deep to RPE/Bruchs membrane in humans is broadened with multiple peaks, assessing choroidal thickness by PCI requires methodological refinements we are presently investigating. Certainly, refining high-resolution techniques to assess simultaneously the conventional ocular components such as anterior and vitreous chamber depths as well as choroidal thickness is justified to define fully the anatomic basis for the length fluctuations measured in this study.
Regarding potential implications, animal studies suggest that daily axial length fluctuations may relate to eye growth control mechanisms. A neurotransmitter implicated in myopia and emmetropization, retinal dopamine undergoes diurnal fluctuations in its storage levels and release; physiologically, retinal dopamine fluctuations modulate retinal mechanisms involved in light and dark adaptation.27 In experimental myopia, the daytime rise in retinal dopamine is attenuated, and a variety of dopamine-related drugs reduce the progression of experimental myopia.28 Stimulated by the implication of these findings that some aspect of the lightdark cycle might influence refractive development, Weiss and Schaeffel6 obtained axial length measurements in chicks every 12 hours, finding that normally growing eyes lengthen during the day and shrink slightly during the night. They also found that this intraday growth pattern changes in eyes that are becoming myopic so that the eyes lengthened during both the day and night.6 Others have obtained analogous results in chicks.8 9 12 Twice daily measurements do not permit full characterization of a diurnal cycle. With more frequent sampling, a phase shift of the diurnal axial length rhythms appears to account for the altered daynight patterns of myopic eye growth.9 12 Altered patterns of daily axial length fluctuations in eyes developing ametropia have not yet been described in other species. Determining whether and how daily axial length fluctuations might be linked mechanistically to emmetropization mechanisms in humans requires further research. Nonetheless, because larger amplitude fluctuations seemed to occur in subjects 12 years old or less, an interaction of daily axial length fluctuations and refractive development in children might be a productive area to explore.
As the daily fluctuations in the distance between the cornea and Bruchs membrane/RPE approximates the 25-µm length of photoreceptor outer segments,29 considerable dynamic shifting of the outer retinal position relative to the cornea seemingly occurs each day. Age-related changes in the biochemistry and histology of Bruchs membrane have long been recognized, and hypothesized biomechanical mechanisms related to such parameters as elasticity, permeability, have been suggested for a variety of outer retinal abnormalities, including lacquer cracks, choroidal neovascularization, and macular degeneration.30 31 Studying eye length fluctuations also may provide a novel approach for investigating biomechanical mechanisms in outer retinal diseases.
In conclusion, we have demonstrated with the PCI technique that axial length of the human eye fluctuates during the day. Because PCI as performed herein provides the distance from cornea to RPE/Bruchs membrane, further research is needed to learn the extent to which these fluctuations result from changes in the anatomic length of the eye (i.e., cornea-to-sclera distance), fluctuations in choroidal thickness, or both. Further research is also needed to learn the relative contributions of changes in anterior chamber and vitreous chamber depth to the altered lengths measured in our study. Nonetheless, daily fluctuations of the eyes dimensions are a newly recognized physiologic parameter. Axial length studies using high-resolution technologies such as PCI may need to account for the time of day. Further, daily fluctuations in ocular dimensions may be a mechanistically informative parameter to include in future studies of ocular disorders, such as refractive development and outer retinal degenerations.
| Acknowledgements |
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| Footnotes |
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Submitted for publication March 21, 2003; revised June 4, July 25, and September 4, 2003; accepted September 5, 2003.
Disclosure: R.A. Stone, None; G.E. Quinn, None; E.L. Francis, None; G.-s. Ying, None; D.I. Flitcroft, None; P. Parekh, None; J. Brown, None; J. Orlow, None; G. Schmid, 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: Graham E. Quinn, Division of Pediatric Ophthalmology, The Childrens Hospital of Philadelphia, One Childrens Center, Philadelphia, PA 19104; quinn{at}email.chop.edu.
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