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1 From the Department of Biomedical Engineering, Tulane University, New Orleans, Louisiana; and the 2 LSU Eye Center, Louisiana State University Health Sciences Center, New Orleans, Louisiana.
| Abstract |
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METHODS. Nine rhesus monkeys were perfusion fixed, each with one normal eye set to an IOP of 10 mm Hg by manometer. A 6-mm-diameter specimen containing the optic nerve head and peripapillary sclera was trephined from each scleral shell and cut into 4-µm serial sagittal sections across the scleral canal opening, either horizontally (four eyes) or vertically (five eyes). The thickness of the peripapillary sclera was measured on every 24th section at 100-µm intervals from the posterior scleral canal opening (PSCO) to the peripheral edge of the specimen. The data were pooled by quadrant (superior, inferior, nasal, and temporal), regions within each quadrant, and distance from the PSCO, overall and for individual eyes, and subjected to analysis of variance.
RESULTS. In terms of distance from the PSCO, the peripapillary sclera was thinnest nearest the PSCO (201 µm, nasal; 201 µm, temporal; 240 µm, inferior; 249 µm, superior), thickened progressively to a maximum in the midperiphery approximately 600 to 1000 µm from the PSCO (326 µm, nasal; 415 µm, superior; 420 µm, temporal; 422 µm, inferior), and thinned again peripherally in all quadrants. The peripapillary sclera was thinner in the nasal quadrant when compared with the other quadrants superiorly, inferiorly, and temporally (central region means of 291 µm, nasal; 369 µm, superior; 372 µm, inferior; and 369 µm, temporal; P < 0.0001).
CONCLUSIONS. In the normal monkey eye, peripapillary scleral thickness varies significantly with distance from the posterior scleral canal opening and is thinner in the nasal quadrant than in the other quadrants. These differences are substantial and are likely to affect the magnitude of IOP-related stress and strain within these tissues for a given level of IOP.
| Introduction |
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Accurate measurement of peripapillary scleral thickness is necessary for adequate modeling of the important transition between the peripapillary sclera, the scleral canal wall, and the peripheral laminar beams. Because scleral wall stress is inversely proportional to scleral thickness, variation in scleral thickness by location in the peripapillary region is likely to have a significant effect on the stresses in the scleral canal wall that are transferred to the lamina cribrosa. Accurate modeling of the conditions at the boundary zone between the lamina and the sclera is crucial to any models of the ONH.
IOP-related stress within the immediate peripapillary sclera is also important, because the effects of such stress may diminish the volume flow of blood through the contained branches of the posterior ciliary arteries.2 3 In addition, this stress is likely to be increased in myopia and other conditions in which the peripapillary sclera is thinned4 5 and may underlie changes in the peripapillary scleral collagen that have been reported in human eyes with glaucoma.6
The purpose of the present study was to characterize the thickness of the peripapillary sclera within 1500 µm of the posterior scleral canal opening in this subset of nine normal monkey eyes that had been perfusion fixed at an IOP of 10 mm Hg.
| Materials and Methods |
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Image Acquisition and Scleral Thickness Measurements
Digital color images of the selected sections, along with a companion image of a slide-mounted micrometer scale to allow calibration of the exact pixel size, were acquired with a 3-CCD color camera (HV-C20; Hitachi, Tokyo, Japan) attached to a microscope (Optiphot-2; Nikon, Tokyo, Japan). All images were generated at a resolution of approximately 2 µm/pixel.
All section images for a single specimen were marked by one of two masked operators (JCD, RAB) and processed using a custom image-analysis program, as follows (Fig. 2) : (1) The exact pixel size was calculated by using the companion image of a slide-mounted micrometer. (2) Bruchs membrane opening was marked and then, for visual reference, marks denoting the anterior and posterior insertions of the lamina cribrosa and the laminar surfaces were imported from a separate study that used the same section images. (3) The posterior scleral canal opening (PSCO) and the anterior and posterior peripapillary scleral surfaces were marked from the scleral canal opening to the edge of the section. (4) All marks were classified as being located on the anterior or posterior scleral surface and in either the superior or inferior quadrant (vertical sections) or nasal or temporal quadrant (horizontal sections). (5) The opening of Bruchs membrane and the PSCO were automatically measured. (6) On each side of the canal, scleral thickness at the PSCO was automatically measured by projecting a line perpendicularly from the anterior scleral surface to the posterior scleral surface at the PSCO. (6) Scleral thickness was then automatically measured in the same fashion at 100-µm intervals from the PSCO to the peripheral end of the section. (7) Data for each section image were exported to a spreadsheet file (Excel; Microsoft, Redmond, WA) for each ONH.
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Statistical Analysis by PSCO Distance, Quadrant, and Region
The data from each measurement point were identified by quadrant, region within quadrant, and distance from the PSCO (Fig. 1)
. The quadrants were superior or inferior for vertically cut specimens and nasal or temporal for horizontally cut specimens. The quadrants were divided into three regions, one central (the central 50% of the histologic sections in each quadrant) and two peripheral (the remaining 50% of the sections, half on each side of the central region). Thus, for the horizontal sections, the regions were superior, central, and inferior, and for the vertical sections, the regions were temporal, central, and nasal. Regionalization within the quadrants was necessary to allow pooling of central region data from all quadrants with no overlap, while permitting acquisition of transitional data in the peripheral regions, where overlap between adjacent quadrants occurred in the area nearest the PSCO (Fig. 1)
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Mean peripapillary scleral thickness at each PSCO distance was calculated for each of the three regions within each quadrant. Mean peripapillary scleral thickness for each region in each quadrant was calculated as the mean of all the regional peripapillary scleral thickness measurements across all PSCO distances. A factorial analysis of variance (ANOVA) was used to assess the effects of PSCO distance, quadrant, region by quadrant, and study eye on the dependent variable, peripapillary scleral thickness. The analysis assessed effects both overall (data from all sections from all eyes) and within the data from each study eye.
Pooled Peripapillary Scleral Thickness Topology Map
The overall mean peripapillary scleral thickness by PSCO distance, quadrant, and region was plotted in three-dimensional space as follows. The maximum values for the vertical and horizontal dimensions of Bruchs membrane opening for all nine study eyes were used to generate an average ellipse defining the scleral canal. The pooled mean peripapillary scleral thicknesses by PSCO distance for the three regions of each quadrant were mapped onto a coordinate system defined by this average ellipse. A custom program (Matlab; The Math Works, Inc, Natick, MA) was used to interpolate these irregularly spaced, discrete thickness data into a continuum thickness.
| Results |
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Peripapillary Scleral Thickness Topology Map
The continuum thickness data shown in Figure 4
represents the thickness of the average normal monkey eye perfusion fixed at an IOP of 10 mm Hg. This figure illustrates the substantial differences in pooled peripapillary scleral thickness by quadrant and PSCO distance in the normal monkey eye.
| Discussion |
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Several researchers have reported thicknesses for the posterior sclera in human eyes that are substantially greater than those we report for these monkey eyes.7 8 9 Olson et al.7 reported scleral thickness in humans of 900 to 1000 µm near the optic nerve, and Fine and Yanoff8 characterized human scleral thicknesses of 1000 µm in the foveal region. These researchers observed a progressive thickening of human sclera, proceeding posteriorly from the equator to the fovea. This is consistent with our findings in the monkey eye, and the relative (percentage) thickening is similar in both humans and monkeys.1 However, our data suggest that although the monkey posterior sclera shell thickens as one proceeds posteriorly from the equator, it is thickest 600 to 1000 µm away from the posterior scleral canal opening and thins again immediately adjacent to the scleral canal.
That the sclera is thinnest immediately adjacent to the canal is most likely the result of the enlargement of the nerve within the canal, presumably due to myelination. Not only does the scleral canal expand between Bruchs membrane and the posterior aspect of the lamina cribrosa (note the relative lengths of line "H" and "I" in Fig. 2 ), but the neural tissues also expand rapidly immediately beyond the posterior aspect of the canal (Fig. 2) , where the arachnoid and pial sheaths insert into the sclera. This expansion of the scleral canal alone dictates that the peripapillary sclera will be thinner in these regions.
That the sclera is thinner nasally is most likely caused by the angle of the expanded scleral canal and optic nerve posterior to the lamina, relative to the scleral wall. We are currently constructing the first digital three-dimensional reconstructions of the scleral canal in normal and early glaucoma monkey eyes perfusion fixed at varying levels of IOP.10 Within these reconstructions, the scleral canal wall is not perpendicular to the scleral wall, but rather is obliquely angled toward the optic chiasm. Therefore, for an individual eye, the degree and extent of nasal scleral thinning most likely follows from the relative obliqueness of the scleral canal (i.e., the length and angle of the axons passage through the scleral wall).
If the scleral shell were a perfect mechanical pressure vessel, we would expect the sclera to be thickest close to the scleral canal, so as to better withstand the stresses that are concentrated around any hole in a pressurized spherical vessel.4 11 12 The thickened region of sclera away from the canal that we report may represent a reinforcing ring that shields the thinner tissues adjacent to the canal from higher levels of stress. In this scenario, it may be that in some eyes, deformation of the "thinned" peripapillary sclera central to this ring may accompany deformation of the lamina cribrosa within the scleral canal under conditions of elevated pressure.13
Histologic evidence for a ring of collagen and elastin fibrils around the scleral canal has been reported by several investigators.14 15 16 17 Whether this ring includes the thicker band of sclera 600 to 1000 µm away from the canal found in our study remains to be determined. It is of interest to note that this thickened region of sclera is readily apparent in the superior, inferior, and temporal quadrants, but is less evident in the nasal quadrant (Figs. 3 4) . An additional contributing cause of the greater thickening in these three quadrants may be tensile forces generated by the inferior oblique muscle and/or the optic nerve sheath when the eye looks down and in.
In general, scleral wall stress is inversely proportional to scleral thickness, although this relationship is imperfect owing to the viscoelastic and anisotropic material properties of scleral tissue and the nonspherical shape of the scleral shell.11 12 Thus, within the superior, inferior, and temporal quadrants, IOP-related stress immediately adjacent to the canal should be as much as 42% greater than stress 600 to 1000 µm away from the canal at a given level of IOP. Separately, in the thinner nasal quadrant, IOP-related stress should be, on average, 21% higher than stress in the other quadrants.
The three-dimensional geometry of the scleral canal (its size, shape, and oblique orientation relative to the scleral wall), as well as the thickness of the peripapillary sclera, probably affects the magnitude of mechanical stress within the connective tissues of the scleral canal wall and peripapillary sclera for a given level of IOP.18 Whether these differences influence the clinical susceptibility of the axons within the scleral canal to a given level of IOP remains to be determined.
For a given vascular perfusion pressure, elevated IOP-related stress within the peripapillary sclera should diminish flow within the contained portions of the short posterior ciliary arteries, which pass relatively directly through the sclera to the choroid. Blood flow may also be restricted in the branching vessels that pass for longer distances within the sclera to supply the prelaminar, laminar, and retrolaminar optic nerve. Hayreh et al. have demonstrated by fluorescein angiogram that choroidal flow in normal eyes decreases with elevated IOP19 and can be variably delayed through the individual branches of the short posterior ciliary arteries.20 Langham2 has suggested that the influence of IOP-related stress within the sclera on the contained vessels may be a mechanism for IOP-dependent vascular damage to the axons in glaucoma. Occlusion of the posterior ciliary arteries is presumed to be the central pathophysiology of anterior ischemic optic neuropathy (AION),3 and AION is more likely to occur in patients with elevated IOP.3 However, AION commonly occurs in the small, "at risk" disc, which is classically associated with mild to moderate hyperopia and which is assumed to include thicker, rather than thinner, sclera.
Whether the relative thinness of the nasal sclera has additional, quadrant-specific effects on the flow of blood within the nasal branches of the short posterior ciliary arteries remains to be determined. Most of the short posterior ciliary arteries pierce the sclera nasal and temporal to the ONH.21 22 To our knowledge, there is no evidence that the nasal posterior ciliary arteries are more commonly involved in either AION or glaucoma. However, because the areas of the choroid and ONH that are fed by the posterior ciliary arteries vary greatly among individuals,21 22 occlusion of the nasal short posterior ciliary arteries (or their intrascleral branches) caused by higher scleral stresses may not necessarily manifest as AION or glaucoma that begins or worsens in the nasal quadrant of the ONH.
At present, in vivo quantitative measurement of peripapillary scleral thickness and the volume flow of blood within the short posterior ciliary arteries and their intrascleral laminar and retrolaminar branches is not possible. Thus, the relationship between peripapillary scleral thickness, peripapillary scleral IOP-related stress and strain, and the volume flow of blood within the short posterior ciliary arteries and their intrascleral branches remains to be determined.
Finally, if physiologic or pathophysiologic thinning of the peripapillary sclera contributes to a given optic nerve heads susceptibility to glaucomatous optic neuropathy,12 it may underlie how axial myopia contributes to that risk. From an engineering standpoint, the myopic optic nerve head may be more susceptible to a given level of IOP on several mechanistic levels. First, the scleral canal may be unusually large, abnormally shaped, and/or tilted, leading to elevated levels of IOP-related stress for a given level of IOP.18 23 Second, the peripapillary sclera may be unusually thin, leading to higher IOP-related scleral wall stress and deformation. Third, the extracellular matrix of myopic sclera may be abnormally weak, causing larger scleral deformations for a given level of IOP. Fourth, apart from the thinning of the sclera, the increased size of the axially myopic eye should increase IOP-related scleral stress for a given level of IOP.11 12 18
Two clinical relationships should be present to support the notion that abnormally thin peripapillary sclera contributes to the risk of glaucoma in a myopic eye.12 Individuals with axial myopia should demonstrate an increased incidence of glaucomatous neuropathy occurring at "normal" levels of IOP and a peripapillary sclera that is thinner than that seen in well-matched normal eyes.
The relationship between myopia, IOP, and glaucomatous optic neuropathy remains controversial.12
24
25
26
27
28
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However, at least two rigorous studies have found an increased risk of glaucomatous optic neuropathy that was not accompanied by an increased risk of elevated IOP.27
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Among the 3654 participants in the Blue Mountains Eye Study, Mitchell et al.28
reported the presence of glaucomatous optic neuropathy in 4.2% of eyes with low myopia (
-1 D to < -3D, based on refractive error, not axial length), 4.4% of eyes with moderate to high myopia (
-3D), and 1.5% of eyes without myopia. Most important, although there was an increased risk of ocular hypertension in the low (but not the moderate to high) myopia group, the overall statistical analysis strongly suggests that in this population, the relationship between glaucoma and myopia was independent of IOP. Daubs and Crick,27
in a casecontrol study of nearly 1000 eyes, found that moderate and high myopia, again defined by refraction, not axial length, substantially increased the risk of glaucomatous optic neuropathy, and that this effect was again independent of IOP.
To our knowledge, although comparisons of the thickness of the intact ocular wall have demonstrated thinning in myopic eyes,30 a definitive in vivo study of peripapillary scleral thickness with adequate resolution to detect differences of less than 100 µm has not been performed and, at present, must await the availability of instrumentation with a resolution of at least 20 µm.
Our study is limited by the possibility of tissue shrinkage or swelling due to fixation. In a recent study of human sclera, thickness did not change significantly in response to fixation.7 In fact, there is some evidence to suggest that acellular collagenous tissues swell with fixation.31 32 However, Panda-Jonas et al.33 reported 12.5% linear shrinkage in the optic disc after fixation. Thus, although there is literature to suggest that our ex vivo posterior scleral thickness measurements should accurately estimate in vivo monkey scleral thickness, the possibility remains that, because of tissue shrinkage, we are underestimating scleral thickness. However, assuming that any shrinkage would occur evenly over all specimens, our scleral thickness measurements should still legitimately model the relative variation in scleral thickness by location that would be present in nonfixed monkey eyes.
The peripapillary scleral thickness data described here along with the previously reported data for the posterior scleral shell1 will be used to construct the first finite element models of the monkey posterior scleral shell. These models will serve to establish the boundary conditions for future finite element models of the lamina cribrosa and scleral canal wall.18 In addition, they will become the basis of future attempts to model IOP-related effects on blood flow within the peripapillary scleral branches of the posterior ciliary arteries that supply the anterior optic nerve, ONH, and peripapillary choroid.
| Acknowledgements |
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| Footnotes |
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Supported by National Eye Institute Grants R01EY11610 (CFB) and departmental core Grant P30EY02377; a grant from The Whitaker Foundation, Rosslyn, Virginia (CFB); and a Career Development Award (CFB) and an unrestricted departmental grant (LSU Eye Center) from Research to Prevent Blindness.
Submitted for publication October 4, 2001; revised March 5, 2002; accepted March 19, 2002.
Commercial relationships policy: N.
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: Claude F. Burgoyne, LSU Eye Center, 2020 Gravier Street, Suite B, New Orleans, LA 70112; cburgo{at}lsuhsc.edu.
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