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1From the Departments of Ophthalmology and 3Health Sciences Research, Mayo Clinic, Rochester, Minnesota.
| Abstract |
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METHODS. Sixty-eight eyes of 34 healthy subjects (age, 18–44 years; mean, 29) were studied. Aqueous humor flow rate, IOP, and outflow facility were measured with pneumatonometry, anterior chamber fluorophotometry, and Schiotz tonography respectively, in each eye during the mid-diurnal (2–4 PM) and mid-nocturnal (2–4 AM) periods. Nocturnal IOP, flow rate, and outflow facility were compared to the same variables during the diurnal period. Mathematical models based on the modified Goldmann equation were used to assess the conditions under which these results could be reconciled.
RESULTS. Supine IOP decreased slightly from 18.9 ± 2.7 mm Hg in the mid-diurnal period to 17.8 ± 2.5 mm Hg in the mid-nocturnal period (mean ± SD, P = 0.001). Aqueous flow rate decreased from 2.26 ± 0.73 to 1.12 ± 0.75 µL/min (mean ± SD, P < 0.001). There was a nonsignificant trend toward a nocturnal decrease of outflow facility (diurnal, 0.27 ± 0.11 µL/min/mm Hg; nocturnal, 0.25 ± 0.08 µL/min/mm Hg; mean ± SD, P = 0.13).
CONCLUSIONS. Outflow facility measured by tonography does not decrease enough during the nocturnal period to compensate for the decreased aqueous humor flow rate. Modeling results indicate that the experimental results could be reconciled only if nocturnal changes in episcleral venous pressure and/or uveoscleral flow occurred.
The modified Goldmann equation relates the variables that determine steady state IOP, including conventional (pressure dependent) and uveoscleral (essentially pressure independent) aqueous outflow rates, aqueous outflow facility, and episcleral venous pressure (EVP). Our goal in this study was to investigate the circadian variation of aqueous outflow facility and its role in determining nocturnal IOP. We also investigated the conditions under which experimentally measured circadian changes in IOP, aqueous flow rate, and outflow facility could be reconciled.
| Methods |
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Sample Size
The sample size was estimated to detect a 20% difference between diurnal and nocturnal outflow facilities. Assuming a diurnal outflow facility of 0.24 ± 0.08 µL/min/mm Hg (mean ± SD), similar to that of other healthy subjects,10 11 12 13 we estimated that 35 subjects would have to have a 90% chance of detection of a 20% difference between diurnal and nocturnal outflow facility (paired t-test,
= 0.05, β = 0.10).
Measurements
In this study, IOP, aqueous flow rate, and outflow facility were measured or calculated. Comparisons between the diurnal and nocturnal periods were performed to assess circadian changes.
IOP was measured with a pneumatonometer (model 30 Classic; Medtronic Ophthalmics, Jacksonville, FL) in participants in the sitting and supine positions after anesthesia with topical proparacaine 0.5%. Subjects were kept sitting or supine for at least 5 minutes before measurement in those positions. The mean of three consecutive measurements was recorded as the IOP.
Aqueous flow rate through the anterior chamber was calculated from the rate of disappearance of fluorescein from the combined cornea and anterior chamber. In brief,
![]() | (1) |
Mf is the mass of fluorescein lost from the combined cornea and anterior chamber during the interval
t,
is the average concentration of fluorescein in the anterior chamber during the same interval (estimated from the initial and final concentrations assuming an exponential decay), and 0.25 µL/min is the assumed flow rate equivalent to the diffusional loss of fluorescein from the eye. Diffusional loss of fluorescein has been shown to be a small fraction (<10%) of the total fluorescein loss, with the bulk flow accounting for the remainder.14 15 16 17 The mass of fluorescein in the anterior chamber and cornea was calculated by multiplying the mean concentration in each compartment by its volume. Fluorescein concentrations were measured by using a scanning ocular fluorophotometer.18 19 20 Anterior chamber volume was measured photogrammetrically,21 and cornea volume was assumed to be 70 µL in all subjects.22 23 Aqueous outflow facility was measured by an electronic Schiotz tonometer (Berkeley Bio-Engineering, Inc., San Leandro, CA) with a 4-minute tracing and was calculated from the pressure decay curves and standard tables.24 Facility was measured at the end of the mid-diurnal and mid-nocturnal periods. Topical proparacaine 0.5% was used for anesthesia before tonography.
Experimental Protocol
The subjects were given a complete dilated eye examination, and an updated medical history was recorded if one had not been recorded within the past 12 months. One week before the study session, the subjects were asked to maintain a regular sleep cycle of 8 hours asleep and 16 hours awake. They were equipped with a wrist actigraph to monitor physical activity (Actiwatch AW-L; Mini Mitter, Bend, OR) and were also asked to maintain a log with sleep and awake times. Subjects sleep patterns were used to adjust the actual time of the measurements during the study, so that the nocturnal period for each subject was equivalent to 11 PM to 7 AM. Contact lens wearers were asked to stop wearing their contact lenses 1 week before the study.
On the day of the study, the subjects were asked to maintain a regular schedule with normal activities. The subjects instilled 3 to 5 drops of topical 2% fluorescein in each eye between 1 and 2 AM on the study day. The number of drops was varied by age, to produce the optimal anterior chamber fluorescein concentrations. Subjects 25 years and less received 5 drops; 26 to 35 years received 4 drops; and over 35 years received 3 drops. Subjects carefully cleaned excess fluorescein from their lashes and lid margins before returning to sleep.
Subjects reported to the Mayo Clinic General Clinical Research Center (GCRC) at 1 PM on the day of the study. They were permitted to leave the GCRC for brief periods but were asked to remain in the hospital. Food and water were given ad libitum, and the subjects could continue with normal activities while at the GCRC, except that they were asked to refrain from exercise.
At the beginning of the mid-diurnal period (2 PM), fluorescein concentration was measured in the anterior segment of each eye, followed by IOP measurement of each eye. These measurements were repeated at the end of the mid-diurnal period (4 PM) and were followed by 4-minute Schiotz tonography. Immediately after tonography, the subjects instilled another 2 to 5 drops of topical 2% fluorescein in each eye, depending on the measured anterior chamber fluorescein concentration. After cleaning the excess fluorescein from the lashes and lid margins, the subjects lay supine for 20 to 30 minutes with eyes closed, to ensure an even distribution of the fluorescein. They were asked to go to sleep at their regular times based on their sleep patterns from the previous week.
The subjects were awakened at the beginning of the mid-nocturnal period (2 AM) for a third set of fluorophotometry and IOP measurements. At the end of the mid-nocturnal period (4 AM), anterior segment fluorescence and IOP were measured a fourth and final time, followed by a second 4-minute Schiotz tonography. During the nocturnal period, IOP and facility measurements were performed under reduced light conditions (
10 lux white light). A previous report indicates that moderate light exposure at night does not affect the nocturnal IOP pattern.25 Fluorophotometry was performed in a darkened room, but the anterior segment was briefly illuminated with the scanning laser. Total time for all measurements in the mid-nocturnal period was 20 to 25 minutes.
Statistical Analysis
Mean IOP, aqueous flow rates and, outflow facility from the mid-diurnal period were compared with values from the mid-nocturnal period. All eyes were used to determine the means, and diurnal and nocturnal data were compared by using generalized estimating equation models to account for potential correlation between the two eyes of each subject. Differences were considered significant at P < 0.05. The diurnal versus nocturnal analysis was repeated for two subgroups: age ranges, 18 to 29 and 30 to 45 years. As a result of our recruitment methods, the sample population was skewed toward the younger end of the eligibility spectrum. This subgroup analysis was undertaken to ensure that our results were not adversely affected by this bias. The results from the subgroups were compared with each other and the group as a whole.
EPV and Mathematical Models
Mid-diurnal and mid-nocturnal EVP was calculated by using the modified Goldmann equation
![]() | (2) |
![]() | (3) |
The modified Goldmann equation was also used to create three mathematical models to reconcile circadian changes in IOP and aqueous humor flow rate. In the first model, we calculated circadian changes in outflow facility, assuming that EVP and the uveoscleral flow fraction remained constant. From equation 3 , outflow facility can be calculated as:
![]() | (4) |
![]() | (5) |
In the second model, we examined the circadian changes in EVP necessary to reconcile diurnal-to-nocturnal changes in IOP and aqueous humor flow rate. Based on equation 3 , the fractional change in EVP from day to night is given by
![]() | (6) |
In the third model, we examined whether circadian changes in uveoscleral flow fraction could reconcile diurnal-to-nocturnal changes in IOP and aqueous humor flow rate, assuming that EVP remained constant. From equation 3 , the uveoscleral flow fraction can be calculated as:
![]() | (7) |
![]() | (8) |
Using these models, we examined the diurnal-to-nocturnal changes in outflow facility, EVP, and uveoscleral flow fraction necessary to produce the measured circadian changes in IOP and aqueous humor flow rate.
| Results |
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The aqueous humor flow rate decreased by approximately 50% between the mid-diurnal and the mid-nocturnal periods. During the mid-diurnal period, the mean flow rate was 2.26 ± 0.73 µL/min, whereas during the mid-nocturnal period, it was 1.12 ± 0.75 µL/min (mean ± SD, P < 0.001). Both subgroups had similar results, with significant differences between diurnal and nocturnal measurements (Table 2) .
The mean outflow facility of all 68 eyes was 0.27 ± 0.11 µL/min/mm Hg during the day and 0.25 ± 0.08 µL/min/mm Hg (mean ± SD) during the night (Table 2) . The diurnal-to-nocturnal changes in outflow facility were approximately Gaussian in distribution (Fig. 1) , but the mean difference was not significantly different from 0 (P = 0.13). The two subgroups had similar results for diurnal and nocturnal outflow facilities (Table 2) .
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Results of Mathematical Models
The mathematical model result for the nocturnal change in outflow facility necessary to reconcile the measured IOP and aqueous flow results (equations 4 and 5 ) is shown in Figure 2 . For a nocturnal outflow facility change of 10% or less, similar to the small but nonsignificant change measured experimentally, the uveoscleral flow fraction ranged from 76% to 81%. Within this range, our model suggests that the circadian variations in IOP could be reconciled with the circadian variations in aqueous humor flow with little or no change in outflow facility. However, for uveoscleral flow fractions of 50% or less, the nocturnal decrease in outflow facility needed to be 37% to 44% to be compatible with the experimentally measured IOP and aqueous flow rate.
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| Discussion |
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The nocturnal elevation of IOP, or even slight decrease in nocturnal IOP, is a paradox considering the 50% or greater decrease in aqueous humor flow at night, which was consistent with previous results.8 This paradox could be explained in two ways. First, as indicated by the Goldmann equation (equation 2) , IOP can be influenced by outflow facility, aqueous humor flow rate, pressure-independent uveoscleral flow, and EVP. Nocturnal changes in any of these variables can determine IOP. A second set of possibilities is that nocturnal measurements of aqueous dynamics parameters do not accurately reflect the sleeping state.
Concerning the first set of possibilities, we examined outflow facility and found that there was a trend toward a small decrease during the nocturnal period, but the change was not statistically significant. It is possible that a real decrease occurs, but the difference between the diurnal and nocturnal measurements was smaller than the detection threshold for the sample size of this study. Nevertheless, the change would be too small to compensate for the change in aqueous flow under virtually all conditions, as indicated by our mathematical models based on the modified Goldmann equation (Fig. 2) . We found that the uveoscleral flow fraction had to be 76% to 81% to reconcile the experimentally measured IOP, aqueous flow rate, and outflow facility. These values are substantially higher than any previously reported for experimentally measured or calculated uveoscleral outflow.29 30 Therefore, nocturnal changes in outflow facility alone are not likely to account for the observed 24-hour IOP pattern.
Using our mathematical models, we also examined the possibility that changes in EVP could explain the observed IOP pattern. Measurements of EVP in humans are difficult and have poor reproducibility. Mean EVP in healthy human eyes has been reported between 7 and 14 mm Hg, with values between 8 and 11 mm Hg being most common.31 Our mathematical models indicated that relatively modest increases in EVP from the diurnal to the nocturnal period could account for the observed circadian IOP pattern (Fig. 3) . In addition, the calculated EVP for uveoscleral flow fractions between 10% and 75% during both the diurnal and nocturnal periods (Fig. 4) was consistent with reported values. This indicates that the observed 24-hour IOP pattern could plausibly be the result of changes in EVP.
We also investigated the possibility that diurnal-to-nocturnal changes in uveoscleral flow fraction could produce the observed IOP pattern. However, the diurnal uveoscleral flow fraction had to be at least 36%, at which point a 100% drop from the diurnal-to-nocturnal period was necessary to produce the observed IOP pattern (Fig. 5) . For a more reasonable 50% decrease in nocturnal flow fraction, a diurnal uveoscleral flow fraction of 47% would be required. This value is at the upper limit of reported values for uveoscleral flow calculated from measurements of IOP, aqueous flow, and EVP. Townsend and Brubaker32 calculated a uveoscleral fraction of 36% in healthy subjects, assuming a fixed EVP of 8 mm Hg. Toris et al.30 calculated a uveoscleral fraction of 54% in younger healthy subjects, and 46% in older healthy subjects, assuming that EVP remained unchanged under treatment with timolol, betaxolol, or acetazolamide. Results from our mathematical model are also significantly greater than reported values for directly measured uveoscleral flow.29 Direct measurement of uveoscleral outflow in living humans has been reported only once in the literature. In a study by Bill and Phillips,33 experiments were performed on patients in whom eyes were to be enucleated for choroidal melanoma. Radiolabeled albumin was perfused into the anterior chamber followed by a washout with inactive fluid. Uveoscleral flow was calculated based on the amount of radioactive material recovered in the ocular and episcleral tissues. This technique showed a uveoscleral flow fraction ranging from 0% to 27%, with a range of 4% to 14% in eyes without medical treatment. This result along with the results of our mathematical model suggest that it is possible, but unlikely, that a change in uveoscleral flow alone produces the observed 24-hour IOP pattern.
It is possible that multiple mechanisms are involved in the circadian IOP change. In two of our models, we assumed that the pressure-independent uveoscleral flow was a constant fraction of the total aqueous flow. If the uveoscleral flow were instead a constant fixed volume per unit of time, the effect would be an increase in uveoscleral fraction during the nocturnal period. If this occurred, an even greater change in EVP and/or outflow facility would be necessary to account for the diurnal-to-nocturnal change in IOP and aqueous flow rate. Conversely, if the uveoscleral flow fraction decreased at night, the necessary change in EVP and/or facility would be less.
A second set of possible explanations for the observed circadian IOP and aqueous flow patterns is that the experimental measurements in the nocturnal period do not accurately reflect the sleeping state. Of the three parameters measured directly in this study, aqueous flow measurements are most likely to reflect accurately both the sleeping and waking states. In our protocol, mid-nocturnal fluorophotometry scans were performed at the beginning and end of a 2-hour interval, during which subjects were sleeping. The calculated aqueous flow rate is an average for this time interval and not a measurement of instantaneous flow rate at the time of the scans themselves. Therefore, the aqueous flow rate calculations reflect the sleeping state and our results are consistent with previous studies of nocturnal aqueous flow.8 15 Furthermore, previous studies have indicated that the decrease in aqueous production at night is related to circadian rhythm and not body position or eyelid closure, with nocturnal decreases in aqueous flow occurring even in awake, sleep-deprived subjects.34
The question of whether nocturnal IOP and outflow facility measurements reflect the sleeping state is more complicated. Both of these are essentially instantaneous measurements performed at night in the waking state with the assumption that the measured values are representative of the sleeping state. Moderate light exposure at night does not appear to affect the nocturnal IOP pattern.25 However, the process of waking does appear to affect IOP, with previous studies reporting significant IOP elevations on waking with a rapid decay over several minutes to a baseline level.35 It is unclear whether this elevation is representative of true sleeping IOP, or a transient change that results from the process of waking. In our study, IOP measurements occurred after aqueous flow measurements and were followed by facility measurements. The consequence of this protocol is that the subjects were awake for approximately 5 to 10 minutes before IOP measurements. This amount of time would be sufficient for a return to baseline in most subjects,35 but the question of whether this is a "sleeping" baseline or an "awake" baseline cannot be answered at this time. Some biological parameters will remain entrained to the circadian rhythm, despite sleep disturbance. This situation holds true for aqueous flow, as well as production of neuroendocrine markers such as thyroid-stimulating hormone and cortisol, which require at least 2 days to reset to a new circadian rhythm.36 In contrast, other biological parameters, such as blood pressure, are influenced more by the sleeping and waking states than is the circadian rhythm.37 Determining whether IOP and outflow facility are entrained to the circadian rhythm or change rapidly from the sleeping state to the waking state will require the development of technology to measure these parameters in sleeping subjects.
Based on the data in the present study, the most likely explanation for the observed 24-hour IOP pattern is circadian variations in EVP or a combination of factors. This suggests that EVP may be a critical parameter for the control of nocturnal IOP elevation. However, no current glaucoma medications are known to influence EVP.38 Future therapies may have to target this parameter if optimum control of nocturnal IOP is to be achieved. Further work is necessary to elucidate fully the nature of circadian variation of aqueous humor dynamics. Such work should involve investigating whether the circadian patterns of aqueous dynamics in this study are maintained in older healthy subjects, as well as patients with glaucoma. Subsequent studies should also measure diurnal-to-nocturnal changes in EVP, in addition to IOP, aqueous flow rate, and outflow facility.
| Footnotes |
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Presented in part at the Annual Meeting of the Association for Research in Vision and Ophthalmology, Fort Lauderdale, Florida, May 2007.
Supported in part by National Institutes of Health Grant UL1-RR24150, Center for Translational Science Activities, and the Mayo Foundation for Medical Education and Research.
Submitted for publication September 1, 2007; revised December 4, 2007; accepted February 28, 2008.
Disclosure: A.J. Sit, None; C.B. Nau, None; J.W. McLaren, None; D.H. Johnson, None; D. Hodge, 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: Arthur J. Sit, Department of Ophthalmology, Mayo Clinic College of Medicine, 200 First St. SW, Rochester, MN 55905; sit.arthur{at}mayo.edu.
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