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1From the Departments of Ophthalmology and 2Neurology, University of California, Los Angeles, California.
| Abstract |
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METHODS. Four adults with horizontal strabismus underwent contrast-enhanced, surface-coil MRI in central, secondary, and tertiary gazes, before and after horizontal EOM recessions and/or resections. EOM paths were determined from 2-mm thickness, quasicoronal MRI by analysis of cross-sectional area centroids in a normalized, oculocentric coordinate system. Globe displacement was determined by measuring the apparent shift of the bony orbit in eccentric gaze.
RESULTS. In all subjects, the anteroposterior positions of the horizontal rectus pulleys shifted by less than 2 mm after surgery, indistinguishable from zero within measurement precision. In three subjects who underwent medial rectus (MR) recession or resection, postoperative globe position was similar in central gaze, but globe translation during vertical gaze shift changed markedly. There was no effect on globe translation in the subject who underwent only lateral rectus (LR) resection.
CONCLUSIONS. Recessions and resections of horizontal EOMs have minimal effect on anteroposterior EOM pulley positions. Because the pulley does not shift appreciably despite large alterations in the EOM insertion, the proximity of a recessed EOM to its pulley would be expected to introduce torsional and vertical actions in tertiary gazes. Connective tissue dissection during MR surgery may destabilize the globes vertical translational stability within the orbit, potentially changing the effective pulling directions of the rectus EOMs in vertical gazes. These changes may mimic oblique muscle dysfunction. LR surgery may avoid globe destabilization.
Despite the wealth of published information on pulley location and stability in both normal subjects and subjects undergoing complex EOM surgery for incomitant strabismus, little is known about the effects on the EOM pulley caused by standard EOM surgery for horizontal strabismus. Most EOM surgery involves resecting (shortening the tendon while maintaining the same insertion) or recessing (moving the insertion posteriorly) the EOM without changing the direction of its path in central gaze. Although moving the EOM insertion anteriorly and posteriorly along its original path should not tangentially displace the posterior EOM belly, extensive surgical dissection of the orbital connective tissue may destabilize the EOM pulley during gaze shifts.5 Notwithstanding that the degree of mechanical coupling between the orbital and global layers of the rectus EOMs is quantitatively unknown, there is probably at least some transfer of force between them. The orbital and global layers of each rectus EOM form parallel laminae that, at least in midorbit, contain a similar maximum number of fibers. The orbital layer terminates well posterior to the sclera, with at least some orbital layer fibers terminating in connective tissue ensheathing the EOM at a location probably corresponding to the functional pulley.20 There is also some attachment of global layer fibers to the pulley tissues, although the global layer is generally thought to become contiguous with the tendon that ultimately inserts on the sclera.11 Because at least some orbital layer force would thus be directly coupled to the pulley and because pulleys are suspended from the anterior orbit by elastic bands of connective tissue,10 the posterior shift of the EOM insertion might be expected to shift its pulley posteriorly. Similarly, because the orbital and global layers of a rectus EOM are in close apposition throughout the entire extent of the former, mechanical coupling between the layers would shift attached structures such as pulleys in the same direction as the surgically shifted tendon insertion. If such interlaminar coupling were strong, resecting the EOM tendon anterior to its pulley would be expected to shift the pulley anteriorly. This study was designed to detect what effect, if any, standard recess or resect horizontal EOM surgery has on pulley position and stability.
| Methods |
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Multiple contiguous quasicoronal MRI images 2 mm in thickness were obtained with a 256 x 256 matrix over an 8-cm2 field of view, giving a pixel resolution of 313 µm. Imaging was obtained in central gaze and also in secondary and tertiary gaze positions, with data collection in some subjects limited by fatigue in maintaining fixation in eccentric gaze positions for the 3.5 minutes required. Central gaze was determined by subjects based on self-report, and in all cases appeared reasonable to the experimenters.3 However, the central gaze position does not generally correspond to the kinematic primary position, defined as an eye orientation normal to Listings plane.
Digital MRI images were transferred to computer (Macintosh; Apple Computer, Cupertino, CA), converted into 8-bit tagged image file format (TIFF), and quantified on computer with NIH Image (Wayne Rasband, National Institutes of Health, Bethesda, MD; available by ftp from zippy.nimh.nih.gov). Left orbits were reflected to the configuration of right orbits to facilitate analysis.
Only images free from degradation by motion or other artifacts were analyzed quantitatively. A single point in each image plane, the "area centroid" (as defined by the NIH Image program, equivalent to the center of gravity of a shape of uniform density and thickness) was used to describe the location of each rectus EOM and the center of the bony orbit. The area centroid data were collected within the Cartesian coordinates of the MRI scanner and then were transformed to an oculocentric metric coordinate system to allow comparison of data before and after surgery.3
Central gaze EOM paths were compared before and after surgery, to measure tangential (vertical and horizontal) displacements in the posterior EOM path. The anteroposterior EOM path inflections in secondary and tertiary gaze were used to measure the functional anteroposterior pulley position.2 3 Finally, globe translation relative to the bony orbit was estimated by measuring the shift during eccentric gaze of the area centroid of the bony orbit at the globeoptic nerve junction. Because the bony orbit does not actually shift during gaze changes, movement of the orbital area centroid actually reflects translation of the globe center, defined as the origin of the oculocentric coordinate system.
| Results |
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Subject 1
This 59-year-old subject had intermittent, concomitant XT that decompensated after neurosurgical resection of a right cerebellopontine angle tumor to a constant angle of 95 to 100 prism diopters (approximately 45°). During surgery, both medial rectus (MR) muscles were resected 6 mm and both lateral rectus muscles (LR) were recessed 7 mm. One year after surgery, the subject was orthophoric at distance and had a residual 6-prism-diopter esotropia (ET) at near.
Preoperative MRI in central gaze demonstrated normal rectus EOM paths in both orbits, from which normal pulley positions can be inferred. Postoperative horizontal EOM paths were within 1 mm of preoperative locations in central gaze in both eyes, demonstrating minimal vertical displacement of the horizontal EOM pulleys after surgery (Fig. 1) .
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Preoperative orbital MRI was performed in central and secondary gazes for the right eye and central and tertiary gazes for the left eye. The preoperative MRI in central gaze demonstrated a superiorly displaced right MR and inferiorly displaced right LR muscle more than two standard deviations from normal (Fig. 3) . Previous work has shown that these abnormal horizontal EOM pulley locations can result in overelevation and overdepression of the globe during adduction without postulating any oblique EOM dysfunction.14
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Subject 3
This 42-year-old subject had previously untreated, concomitant infantile ET measuring 60 prism diopters. There was no A- or V-pattern strabismus, and the left eye demonstrated only minimal overelevation and overdepression in adduction. Five months after bilateral 6.5-mm MR recessions, the subject had a residual concomitant ET of 12 to 15 prism diopters.
Preoperative MRI in central gaze demonstrated normal horizontal rectus EOM paths in both orbits, from which normal pulley positions can be inferred. After surgery, MRI demonstrated that the horizontal EOM paths and globe position in central gaze and the functional anteroposterior pulley positions in secondary gaze were essentially unchanged in both eyes (Fig. 4) . The globe, however, translated superiorly by 1.0 to 1.5 mm on infraduction and superiorly by less than 1 mm on supraduction (Table 1) .
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The preoperative MRI in central gaze demonstrated an inferiorly displaced right LR more than two standard deviations from normal and a left LR that was slightly inferiorly displaced as well (Fig. 5) . After surgery, MRI demonstrated that the horizontal EOM paths and globe position in central gaze and the functional anteroposterior pulley positions in secondary gaze were essentially unchanged in both eyes (Fig. 5) .
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| Discussion |
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The orbital layer of each rectus EOM does not continue into direct continuity with the scleral insertion. The orbital layer is not found anterior to the pulley, and some orbital layer fibers insert directly onto the immediately adjacent orbital surface of the pulley.20 The orbital layer does not take a separate and distinct path from the global layer, but parallels the global layer in close apposition as far as the orbital layer extends anteriorly. It must be assumed that some fraction of global layer force is transmitted to the orbital layer, and vice versa, as emphasized by Dimitrova et al.23 The amount of this force coupling is currently unknown, but the present result perhaps gives some sense of the magnitude of interlayer coupling. Even under the anatomically unrealistic assumption of zero friction between the orbital and global layers, the existence in some gaze positions of an inflection of the global layers path at the pulley would couple transverse force from the global layer to the orbital layer. The current finding of no detectable effect of EOM tendon surgery on anteroposterior pulley location suggests that the global layer fibers do not transmit enough translational force to shift pulley position by even as much as 2 mm, the minimum shift measurable by the current technique.
If the rectus pulleys were completely coupled to the global layers and their contiguous tendons, a shift much larger than 2 mm would have been anticipated after, for example, the 7-mm recession of the scleral insertion performed in subject 1. Such a recession represents more than 40% of the normal distance between the insertion and the pulley.12 Despite obvious anatomic indications of mechanical intercouplings, the current finding thus suggests a degree of partial mechanical independence between the global layer and the pulley, and between the orbital and global layers. It should be emphasized that mechanical couplings are still likely to function to a partial extent, but their effects should be considered working against the putatively high stiffness of the pulley suspensions. Computational simulations assuming only passive elastic constraints on pulley positions suggest that the stiffness of these suspensions would have to be in the range of 40 g/mm to account for the high resistance of pulleys to sideslip.12 With such high stiffness, the hypothetical passive anteroposterior shift of pulleys attributable to frictionless passage of EOMs through pulleys has been calculated not to exceed 0.1 mm for even ± 35° ductions.12 The observation that actual rectus pulley shifts are in the range of 14 mm for such ductions has been taken as evidence that pulley shifts are actively rather than passively mediated.12 More complex biomechanical modeling of bilaminar EOMs and realistic connective tissue couplings would be required to interpret quantitatively the present finding of a less than 2-mm pulley shift after EOM recession and resection. It would be desirable to infer computationally, for example, the approximate value of a putative a subunity coupling coefficient between the orbital and global layers. Such a worthwhile computational investigation, however, is beyond the scope of the present study.
After resection, where the EOM tendon is disinserted, shortened, and reinserted at the original location on the sclera, anteroposterior pulley stability should support normal ocular kinematics. The three-dimensional relationship between the functional origin of the EOM, the pulley, and its insertion onto the globe is preserved after surgery. After recession, however, the EOM insertion is brought much closer to the pulley, potentially introducing torsional and vertical actions in tertiary gaze positions.
Figure 6 , a schematic lateral view of a horizontal rectus EOM and its pulley, illustrates the kinematic consequences of EOM recession.11 Before surgery (Fig. 6 , left), the distance D2 from globe center to insertion is maintained equal to distance D1 from pulley to globe center. For a trigonometrically small angle of supraduction
typical of the ocular motor system, this relationship causes the rotational velocity axis imposed on the globe by the EOM to tilt posteriorly by angle
/2. This "half angle" dependence of ocular rotational velocity axis on eye position is a sufficient condition for the eye to remain in compliance with Listings Law of ocular torsion.24 Listings Law is a quantitative description of ocular torsion whose corollary and original statement is that, when the head is upright and stationary, any eye orientation can be reached from a primary position by rotation about a single axis lying inListings plane.24 Because three-dimensional eye velocity is imparted by the direction of EOM force, maintenance of the mechanical arrangement of the rectus EOM pulleys accounts for Listings Law without any explicit neural computation of eye torsion25 26 and also makes the ocular motor periphery appear to the brain to be mathematically commutative with respect to the sequence of ocular rotations.27 This kinematic analysis is supported by recent neurophysiological observations in monkeys. Motoneurons innervating vertical rectus and oblique EOMs do not encode the torsion corresponding to half-angle behavior during pursuit,28 whereas direct electrical stimulation of the abducens nerve without the possibility of downstream neural processing evoke horizontal saccades conforming to Listings Law.29 Known violations of Listings Law during convergence30 and ocular counterrolling31 have been demonstrated by MRI in humans to be associated with rotation of the rectus pulley array in the coronal plane in coordination with ocular torsion. Thus, even after ocular torsion has been driven out of Listings plane by a vestibular stimulus, subsequent visual saccades conform to Listings Law in a new Listings plane paralleling the original one,32 and modulation of the orientation of Listings plane by gravity33 can be explained by rotation of the rectus pulley array.31
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causes the EOMs rotational velocity axis to tilt posteriorly by less than angle
/2, with the actual amount depending on the recession distance. If, as evidence suggests, Listings Law is an emergent property of EOM paths as dependent on the orbital pulleys, then Listings Law would be expected to be violated after rectus EOM recessions. Specifically, this violation would manifest as abnormal ocular torsion in tertiary gaze positions where the recessed EOM contributes significant force. Binocular alignment in tertiary gaze positions should also be affected by abnormal vertical and torsional actions of recessed horizontal rectus EOMs. The extent of such putative abnormalities depends on both the amount of EOM recession and the tertiary gaze angle. Because the horizontal rectus pulley positions did not change after resections of their tendons, such surgery would not be predicted to alter ocular kinematics and would not be predicted to result in violations of Listings Law. This study also demonstrated translational destabilization of the globe in eccentric gaze after both MR resection and recession. Translational globe position in central gaze was similar before and after surgery, within 1 mm of the preoperative position for all subjects (Table 1) , but the globe displaced superiorly on both supraduction and infraduction by as much as 2 mm. This amount of superior globe displacement (and resultant relative inferior displacement of the horizontal EOMs) has been shown to mimic oblique EOM dysfunction.14 Translational globe destabilization was not observed in subject 4, the only subject who only underwent LR surgery.
Of note, subject 4 also appeared to have inferiorly displaced LR pulleys both before and after surgery. Clinically, the subject was diagnosed with divergence palsy and apparent mild LR underaction. These clinical findings can be at least partially explained by the abnormal inferior placement of the LR pulleys. Much of the contractile force of the LR would be directed toward infraduction instead of abduction. This conclusion is supported by the relatively poor clinical response to LR resection surgery, which left the subject with substantial ET in the distance only.
All the participants chosen were adults, because the level of concentration and cooperation required during orbital MRI precluded the use of young children. Horizontal EOM surgery, however, is frequently performed in young children, who typically have denser connective tissue within the region of the EOM pulleys. Because this connective tissue thins with age,10 older subjects may be more susceptible to globe destabilization during strabismus surgery than are children.
This study illustrates the importance of both controlling gaze during orbital imaging and obtaining images in multiple positions of gaze. The connective tissue components of the orbit shift position during changes of gaze, maintaining the relationship between the globe and EOM pulleys. In this group of subjects, our conclusions would have been very different if we had only imaged in central gaze, because we would have erroneously concluded that standard horizontal EOM recessions and resection had very little effect on orbital connective tissue and EOM pulleys. Likewise, if these subjects had simply closed their eyes and relaxed during imaging, allowing Bells phenomenon to rotate both eyes into supraduction, we may have erroneously concluded that recessions and resections somehow introduced superior displacements in globe position without appreciating the relationship of globe displacement to change of gaze position.
In conclusion, this study demonstrates that recessions and resections of horizontal EOMs have minimal effect on anteroposterior, vertical, and horizontal EOM pulley positions within the bony orbit. Since recession places the horizontal rectus EOM insertion near its pulley, vertical and torsional actions are predicted to occur in tertiary gaze positions. In addition, connective tissue dissection or other factors associated with MR recession or resection may destabilize the globes vertical position within the bony orbit. Superior displacement of the globe changes the effective pulling directions of the horizontal rectus EOMs on supraduction and infraduction, possibly mimicking oblique EOM dysfunction. LR surgery alone may avoid globe destabilization.
| Footnotes |
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Supported by National Eye Institute Grant EY-08313 and Core Grant EY-00331 and an unrestricted award from Research to Prevent Blindness (JLD). JLD is the Leonard Apt Professor of Ophthalmology.
Submitted for publication April 22, 2005; revised July 22, August 1, and August 17, 2005; accepted October 21, 2005.
Disclosure: R.A. Clark, None; J.L. Demer, 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: Joseph L. Demer, Jules Stein Eye Institute, 100 Stein Plaza, UCLA, Los Angeles, CA 90095-7002; jld{at}ucla.edu.
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