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CLINICAL SCIENCES
Effect of Ocular Torsion on A and V Patterns
and Apparent Oblique Muscle Overaction
Burton J. Kushner, MD
Objective: To determine if ocular torsion is a major cause
of A and V patterns and oblique muscle overaction or
merely a contributing factor.
Methods: Three separate investigations were con-
ducted. (1) The trajectory of eyes with oblique muscle
overaction was plotted across the horizontal field of
gaze from videographs to determine if it was linear or
curvilinear. (2) The effect of successful Harada-Ito
surgery to reduce extorsion on overelevation in adduc-
tion in patients with fourth cranial nerve palsy was
studied. (3) The effect of successful surgery to treat
pattern strabismus in the form of vertical transposition
of the horizontal rectus muscles on objective torsion
was studied.
Results: (1) Three eyes with inferior oblique muscle over-
action and 2 with superior oblique muscle overaction had
a curvilinear rise or fall (respectively) as they moved into
adduction. (2) Surgery that successfully decreased extor-
sion had a negligible effect on overelevation in adduction
in 2 patients. (3) Horizontal rectus muscle transposition
that was uniformly successful in eliminating A or V pat-
terns consistently caused an increase in objective torsion
in all 5 patients studied.
Conclusion: Ocular torsion may contribute to A or V pat-
ternsandoverelevationoroverdepressioninadduction,but
it is probably not the major cause of these phenomena.
Arch Ophthalmol. 2010;128(6):712-718
E
STIMATES OF THE OCCUR-
rence of A or V patterns with
horizontal strabismus range
between 12% and 50%, de-
pending on the nature of the
series from which the figure is derived.1-5
Overtheyears,variousetiologieshavebeen
proposed for A and V patterns. These have
included differing action of the horizon-
tal rectus muscles in upgaze vs down-
gaze,1,6
weakness of the vertical rectus
muscles,7
abnormal sagittalization of the
oblique muscles,8
and more recently or-
bital pulley abnormalities.9
However, the
most popular theory, proposed by Knapp2
in 1959, implicates abnormal oblique
muscle function as the cause of A and V
patterns. Abduction is the tertiary action
of the oblique muscles. If the inferior ob-
lique muscles are overacting and the su-
perior oblique muscles are underacting,
there will be an excessive force vector for
abduction in upgaze and a relatively de-
ficient abducting force vector in down-
gaze, resulting in a V pattern. Con-
versely,superiorobliquemuscleoveraction
and inferior oblique muscle underaction
will cause a relative divergence in down-
gaze compared with upgaze, producing an
A pattern. This is the basis for the Knapp
theory.
Based on some prior studies by Weiss10
and Morax et al11,12
in patients with cranio-
facial anomalies, I calculated the effect that
ocular torsion may play in contributing to
A and V patterns, as well as to the overel-
evation or overdepression seen in adduc-
tion in patients with oblique muscle over-
action.13
For example, if a patient has a V
pattern with inferior oblique muscle over-
action, each eye will be extorted. This will
rotate the insertions of the rectus muscles
counterclockwiseintherighteyeandclock-
wiseinthelefteye.Thechangeinforcevec-
tor resulting from this rotation will create
an abducting force from the superior rec-
tus muscles and an adducting force from
the inferior rectus muscles, which will con-
tributetotheVpattern.Inaddition,thenew
positions of the insertions of the horizon-
tal rectus muscles will make the medial rec-
tus muscles partial elevators in adduction
and the lateral rectus muscles partial de-
pressors in abduction. This will accentu-
ate the overelevation seen in adduction
(Figure 1 and Figure 2). I calculated that
Author Affiliation: Department
of Ophthalmology and Visual
Sciences, University of
Wisconsin, Madison.
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for the average amount of torsion observed in a series of
patients with A and V patterns, these new force vectors
were substantial. The extorsion seen in patients with V pat-
terns will cause the new force vector of each rectus muscle
to be approximately equal to 24% of its original force, eg,
an abducting force of the superior rectus muscle, elevat-
ing force of the medial rectus muscle, and similar changes
in the lateral rectus muscle and inferior rectus muscle. The
converse occurs with intorsion accompanying A pat-
terns. Although these calculations were made before the
recognition of orbital pulleys,9
and hence are probably not
quantitatively accurate, they should be qualitatively valid.
In a publication in 1994, Guyton and Weingarten14
car-
ried this hypothesis an important step further by hypoth-
esizing how the disruption of fusion that occurs with hori-
zontal strabismus may result in a free-wheeling torsional
drift of the eyes. This sets the stage for the development
of A or V patterns as well as overelevation or overdepres-
sion in adduction. Later, Miller and Guyton15
confirmed
this hypothesis in patients who lost fusion after strabis-
mussurgery.However,althoughIconceptualizedthatocu-
lar torsion was merely a contributing factor to A and V pat-
terns, as well as overelevation or overdepression in
adduction, others describe this as the major causative fac-
tor.14
Which of these differing hypotheses is correct can
have important practical clinical implications in choos-
ing a surgical plan to treat some patients. Specifically, when
addressing A or V patterns, should the surgical plan take
into account the vertical and horizontal actions of the op-
erated-on muscles, or is treating torsion sufficient?
FM FL
MR
FS
SR
FI
IR
LR
MR
SR
IR
LR
FM FM2
FM1
FI
FI2
FI1
FL2 FL
FL1
FS
FS2
FS1
Extorsion
Figure 1. The initial force vector of each rectus muscle in this left eye is depicted as an arrow F with a subscript to denote the specific muscle, ie, Fs for the
superior rectus muscle, FM for the medial rectus muscle, FI for the inferior rectus muscle, and FL for the lateral rectus muscle. An excyclorotation of the eye will
result in a clockwise rotation of the insertion of the muscles. This will create a force vector for elevation for the medial rectus muscle (MR), abduction for the
superior rectus muscle (SR), depression for the lateral rectus muscle (LR), and adduction for the inferior rectus muscle (IR). The magnitude of the new force
vectors for each muscle can be represented by vector analysis. For the SR, the new vector for elevation is Fs1 and for abduction is Fs2. For the other rectus
muscles, similar notation is used for the new vertical and horizontal force vectors.
Extorsion Extorsion
Figure 2. If the torsional changes that are depicted in Figure 1 occurred in both eyes, the new force vectors would cause divergence in upgaze and convergence in
downgaze. In addition, there would be an elevation of the adducting eye and depression of the abducting eye. Thus, these torsional changes that occurred as a
result of extorsion contribute to both the V pattern and the overelevation seen in adduction.
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The purpose of this study was to determine if ocular
torsion is the primary cause, or merely a contributing fac-
tor, in the genesis of A and V patterns as well as overel-
evation or overdepression in adduction.
METHODS
This study consists of a series of 3 different investigations made
from patients in my clinical practice. The study was approved
by the University of Wisconsin institutional review board and
was compliant with the Health Insurance Portability and Ac-
countability Act.
INVESTIGATION 1: TRAJECTORY
OF OBLIQUE MUSCLE OVERACTION
In my oral discussion of the Guyton and Weingarten presen-
tation on the effect of torsion on pattern strabismus and ob-
lique muscle overaction, I suggested that the elevation of an
eye with inferior oblique overaction as it moved from abduc-
tion to adduction should be approximately linear, if the force
vector changes of the rectus muscles from torsion as depicted
in Figure 1 and Figure 2 were responsible for the apparent over-
action (B.J.K., unpublished oral discussion of “Sensory Tor-
sion as the Cause of Primary Oblique Muscle Overaction/
Underaction and A and V” patterns by Guyton and Weingarten
at the 19th annual scientific meeting of the American Associa-
tion for Pediatric Ophthalmology and Strabismus, Palm Springs,
California, April 20, 1993). The same should be true for the
depression of an eye with superior oblique muscle overaction
as it moves into adduction. However, if the elevation or de-
pression were caused by an increase in the vertical torque vec-
tor of the respective oblique muscle, the elevation or depres-
sion should follow a relatively curvilinear course, which is more
consistent with the change in vertical force vector of the re-
spective muscle in adduction.
For this investigation, the motility of patients with primary
inferior or superior oblique muscle overaction was video-
taped. Videography was performed while fixation was main-
tained with the same eye across the horizontal plane from far
adduction to far abduction. Thus, the nonfixing eye was mov-
Extorsion
FH
45°
FV
F
M
SR
OS
LR
IR
M
R
A B
Figure 3. A, If a horizontal rectus muscle is infraplaced, there
will be more slack in the muscle when the eye is in downgaze
(top of Figure) than in upgaze. This weakens the primary action
of the muscle in downgaze and increases it in upgaze (bottom of
Figure). B, If a medial rectus muscle is infraplaced, a new force
vector for depression will be created. In addition, a torsional
force vector will be created in the direction toward the original
insertion. With infraplacement of the medial rectus muscle (MR),
a force vector is created that will cause extorsion. FH indicates
the horizontal vector of the MR; FM, the actual force of the MR;
FV, the vertical force vector of the MR; IR, inferior rectus muscle;
LR, lateral rectus muscle; OS, left eye; SR, superior rectus
muscle.
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ing from abduction to adduction, and its vertical position across
the horizontal plane was analyzed. Individual still frames from
the videos were captured at intervals of approximately 0.20 sec-
ond and saved as still pictures. The position of the center of
the pupil of the nonfixing eye was then graphed as a function
of horizontal movement to determine its trajectory as the eye
rotated from abduction to adduction across the horizontal plane.
To ensure adequate excursion of the nonfixing eye into abduc-
tion, I only included patients with 20 prism diopters (PD) or
less of esotropia or exotropia in the primary position. No spe-
cific mechanical device (eg, bite bar, forehead rest) was used
to control head position during videotaping. However, the still
frames were analyzed by drawing a line between the outer can-
thi of each eye. The orientation of the line was compared in
selected images across the horizontal gaze field to ensure there
was no inadvertent tilting of the head.
INVESTIGATION 2: EFFECT OF REDUCING
THE EXCYLOTROPIA ON OVERELEVATION
IN ADDUCTION IN PATIENTS WITH
INFERIOR OBLIQUE MUSCLE OVERACTION
If the excyclotropia that accompanies inferior oblique muscle
overaction is primarily responsible for the overelevation in ad-
duction, reducing the torsion should reduce the overeleva-
tion. This investigation involved studying the effect of purely
torsional surgery on the overelevation in adduction in pa-
tients with inferior oblique muscle overaction secondary to
fourth cranial nerve palsy. Torsion was measured subjectively
before and after surgery using the double Maddox rod test in
the previously described manner16
and objectively with fun-
dus photography. Measurements of the angle of strabismus were
made at 6 m with appropriate spectacle correction in place using
the prism and alternating cover test. Oblique muscle function
was subjectively graded using a 9-point scale (−4 to ϩ4). The
patients in this investigation had been previously described in
a report of surgical procedures to treat torsion,17
and their rec-
ords were retrospectively reviewed for this study.
INVESTIGATION 3: EFFECT OF VERTICAL
TRANSPOSITION OF HORIZONTAL RECTUS
MUSCLES ON BOTH THE TORSION
AND ALPHABET PATTERNS
If ocular torsion is primarily responsible for A and V patterns,
surgery that corrects a pattern should decrease torsion, and sur-
gery that worsens torsion should worsen an A or V pattern. Al-
phabet patterns are often treated with vertical transposition of
the horizontal rectus muscles.2,18
When a rectus muscle is trans-
posed, 3 separate changes in force vector occur. The muscle’s
primary action is lessened when the eye is rotated in the di-
rection of the transposition and increased when the eye is ro-
tated in the opposite direction (Figure 3A). This is the basis
for using horizontal rectus muscle transpositions to treat A or
V patterns.18
However, at the same time, a vertical force vector
is created in the direction the muscle is moved. This is the prin-
ciple behind using muscle transposition surgery to treat para-
lytic strabismus such as sixth cranial nerve palsy or monocu-
lar elevation deficiency. Finally, a torsional force vector is created
in the direction from which the muscle was moved
(Figure 3B).18-20
Consequently, transposition of the horizontal
rectus muscles to treat pattern strabismus should theoreti-
cally create a torsional change in the opposite direction from
what is desired. For example, a V pattern esotropia is often as-
sociated with inferior oblique muscle overaction and objec-
tive extorsion.18,21
However, successful treatment of a V pat-
tern with only minimal inferior oblique muscle overaction can
involve medial rectus muscle recessions with infraplacement,
which should in theory worsen the extorsion. This investiga-
tion studied the change in objective torsion and the magni-
tude of A or V patterns in patients undergoing surgery consist-
ing of vertical transposition of horizontal rectus muscles to treat
the patterns. Transposition surgery was accomplished by keep-
ing the superior and inferior poles of the new insertion of the
transposed muscle a consistent distance from the limbus. For
example, if a muscle was initially inserted 5 mm from the lim-
bus, and the recession was 5 mm, the entire length of the new
insertion was 10 mm from the limbus. Fundus torsion was docu-
mented photographically before and after surgery and graded
in the manner previously described.16
This grading system, which
is a modification of that described by Guyton,22
allows for a quan-
titative assessment of torsion on a scale of 0 to ϩ4 as well as a
calculation of the change in torsion between different exami-
nations in actual degrees. Strabismus measurements were all
made at 6 m with appropriate optical correction in place using
the prism and alternating cover test.
For investigations 2 and 3, the outcome examination was
approximately 6 weeks after surgery.
RESULTS
INVESTIGATION 1: TRAJECTORY
OF OBLIQUE MUSCLE OVERACTION
This investigation included 3 patients with bilateral pri-
mary inferior oblique muscle overaction and 2 with
bilateral primary superior oblique muscle overaction.
All 5 patients had decompensated partly accommoda-
tive esotropia, had not undergone prior surgery, and
did not have dissociated vertical divergence. For all 5
patients, the elevation or depression of the eye was cur-
vilinear as the eye moved from abduction to adduction.
Figure 4 shows the analysis of 1 patient with inferior
oblique muscle overaction that was graded as ϩ4 bilat-
erally. The plot of eye position for the other 2 patients
with inferior oblique muscle overaction was similar; for
the 2 patients with superior oblique muscle overaction,
the trajectories were inverted but similar. This suggests
x
x
x x x x x x x x x x x x x
x
x
.
.. . .. .. ..
Figure 4. Diagrammatic representation of the trajectory of the right eye of a
patient with ϩ4 bilateral inferior muscle overaction as it moved from far
abduction to far adduction while the fixing left eye moved across the
horizontal plane. Each “x” denotes the location of the center of the pupil of
the right eye. The curvilinear rise of the right eye as it moved into adduction
suggests the overelevation in adduction is due to the change in vertical force
vector of the inferior oblique muscle as the eye progressively adducts. The
curvilinear fall of the right eye in abduction is a function of the overaction of
the left inferior oblique muscle and the fact that the left eye maintained
fixation in the horizontal plane.
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that the change in vertical force vector of the oblique
muscle between abduction and adduction is the pri-
mary cause of the overelevation or overdepression in
patients with primary oblique muscle overaction. On
the contrary, if ocular torsion were the primary cause
for the overelevation or overdepression seen in adduc-
tion in these patients, one would expect the rise or fall
should be approximately linear.
INVESTIGATION 2: EFFECT OF REDUCING
THE EXCYLOTROPIA ON OVERELEVATION IN
ADDUCTION IN PATIENTS WITH INFERIOR
OBLIQUE MUSCLE OVERACTION
This investigation involved 2 patients with unilateral ac-
quired superior oblique muscle palsy for which each had
undergone contralateral inferior rectus muscle reces-
sion by other ophthalmologists. This corrected the hy-
pertropia in the primary position but left them with re-
sidual bothersome diplopia due to persistent exyclotropias
of 8° and 9°, respectively. They each had ϩ3 unilateral
inferior oblique muscle overaction of the affected eye. Al-
though they had undergone contralateral inferior rectus
muscle recession, neither had objective torsion of the con-
tralateral eye as determined by fundus photography, al-
though in both patients the position of the fovea was closer
to the border for intorsion than extorsion. Because they
had no hypertropia in the primary position, they each
underwent a modified Harada-Ito procedure.23,24
After sur-
gery, they each reported no torsion with the double Mad-
dox rod test; however, the inferior oblique muscle over-
action was unchanged in 1 patient and only decreased
from ϩ3 to ϩ2 in the other. Before surgery, the hyper-
tropia of the affected eye measured 12 PD and 10 PD in
adduction in the 2 patients, respectively, and after sur-
gery, it was only reduced to 10 and 6 PD, respectively.
They had a V pattern reduction of 2 and 4 PD, respec-
tively, which was identical to the reduction of the hy-
pertropia in adduction. Neither had a hypertropia in the
primary position postoperatively.
INVESTIGATION 3: EFFECT OF VERTICAL
TRANSPOSITION OF HORIZONTAL RECTUS
MUSCLES ON BOTH THE TORSION
AND ALPHABET PATTERNS
For this investigation, 5 patients with horizontal strabis-
mus associated with an alphabet pattern underwent sur-
gery in the form of bilateral horizontal rectus recessions
with one-half or three-quarter tendon width vertical trans-
position. Three had V patterns with decompensated partly
accommodative esotropia, and 2 had A patterns with in-
termittent exotropia. All had mild oblique muscle over-
action (inferior oblique muscle for the V patterns and su-
perior oblique muscle for the A patterns), and all had
objective extorsion or intorsion, respectively. In all pa-
tients, the pattern was effectively collapsed with the sur-
gery, and in all patients, there was a small increase in the
fundus torsion after surgery (mean sum of right and left
eyes for the 5 patients was 6.4°; range, 5°-7°). No pa-
tient experienced an increase in the oblique muscle over-
action of either eye, and 2 patients each had a mild de-
crease in 1 eye. The details of these patients are presented
in the Table.
COMMENT
This study consisted of 3 investigations to assess differ-
ent observations that could address the issue of whether
ocular torsion is the primary cause of pattern strabis-
mus or apparent oblique muscle overaction, or if it is
merely contributory. All 3 suggested that ocular torsion
was not primarily responsible for either.
Prior investigations support this hypothesis. In my oral
discussion of the Guyton and Weingarten presentation
on the effect of torsion on pattern strabismus and ob-
lique muscle overaction (B.J.K., unpublished oral dis-
cussion of “Sensory Torsion as the Cause of Primary Ob-
lique Muscle Overaction/Underaction and A and V”
patterns by Guyton and Weingarten at the 19th annual
Table. Objective Torsion and Alphabet Pattern in Patients Undergoing Vertical Transposition of Horizontal Rectus Muscle
to Treat A or V Pattern
Case
No.
Preoperative
Surgery
Postoperative
Pattern and
Pattern Sizea
Oblique
Overaction,
R/L
Objective
Torsion,
R/L
Pattern
and Sizea
Oblique
Overaction,
R/L
Change in
Objective Torsion,
Degrees,b R/L
1 18 V-ET ϩ1/ϩ1 ϩ3 ex/ϩ3 ex Rec MROU and
infraplace 3⁄4 T
2 V-ET ϩ1/ϩ1 ϩ4/ϩ3
2 20 V-ET ϩ2/ϩ2 ϩ4 ex/ϩ3 ex Rec MROU and
infraplace 3⁄4 T
5 V-ET ϩ2/ϩ1 ϩ3/ϩ4
3 15 V-ET ϩ1/ϩ2 ϩ3 ex/ϩ3 ex Rec MROU and
infraplace 1⁄2 T
No pattern ϩ1/ϩ2 ϩ3/ϩ3
4 15 A-XT ϩ1/ϩ1 ϩ2 in/ϩ2 in Rec LROU and
infraplace 1⁄2 T
5 A-ET ϩ1/ϩ1 ϩ2/ϩ3
5 20 A-XT ϩ2/ϩ2 ϩ3 in/ϩ3 in Rec LROU and
infraplace 3⁄4 T
5 A-XT ϩ2/ϩ1 ϩ3/ϩ4
Abbreviations: A-ET, A pattern esotropia; A-XT, A pattern exotropia; ex, extorsion; in, intorsion; L, left eye; LROU, lateral rectus muscles in both eyes; MROU,
medial rectus muscles in both eyes; R, right eye; Rec, recess; V-ET, V pattern esotropia; 1⁄2 T, one-half tendon width; 3⁄4 T, three-quarters tendon width.
aDifference in horizontal alignment between upgaze and downgaze in prism diopters.
bA positive number indicates torsion in the same direction as preoperatively, however, increased in magnitude.
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scientific meeting of the American Association for Pedi-
atric Ophthalmology and Strabismus, Palm Springs, April
20, 1993), I stated that I had the impression that objec-
tive torsion is often present in children with infantile eso-
tropia, long before they develop overelevation in adduc-
tion. I reasoned that if torsion is the cause of overelevation
in adduction in patients with inferior oblique muscle over-
action, the 2 findings should theoretically occur approxi-
mately concurrently. Subsequently, in 1996, Eustis and
Nussdorf25
published a prospective study that nicely ad-
dressed the relative timing of the onset of primary infe-
rior oblique overaction and the appearance of objective
extorsion. They found that the occurrence of fundus ex-
torsion was highly predictive of subsequent develop-
ment of overelevation in adduction in patients with in-
fantile esotropia, but the former often preceded the latter
by as much as several years.
Investigation 1 confirmed that the vertical trajectory of
an eye with superior or inferior oblique muscle overac-
tion is curvilinear as the eyes move across the horizontal
field. The altered force vectors of the horizontal rectus
muscles in a torted, nonfixing eye as depicted in Figure 1
should produce an approximately linear elevation or de-
pressionofthenonfixing,tortedeyeastheeyesmoveacross
the horizontal plane, if their force vectors were the main
factors responsible for the vertical excursion. In fact, the
behavior of the fixing eye should also play a role. Con-
sider, for example, a patient with bilateral superior muscle
overaction and bilateral extorsion. When the fixing eye is
in the adducted position, there will need to be innervation
to elevate the eye to overcome the depression that would
be driven by the overacting superior oblique muscle and/or
the depression caused by the incyclorotated medial rectus
muscle insertion to maintain the eye in the fixing position
on the horizontal plane. Although the field of greatest el-
evation of the inferior oblique muscle is in adduction, it
has been shown that the superior rectus is still a greater
elevator across the entire horizontal plane than the infe-
rior oblique muscle.26-29
The converse is true for depres-
sion that primarily comes from the inferior rectus muscle
across the horizontal gaze fields even though the superior
oblique muscle has its greatest vector for depression in ad-
duction. Thus, in the example of a patient with bilateral
superiorobliquemuscleoveraction,theelevatingforcevec-
tor to overcome the downward pull from the overacting
superior oblique muscle and the incyclorotated position
of the medial rectus insertion would come primarily from
the superior rectus muscle in the fixing eye. This would
bematchedwithfurtherinputtothesuperiorrectusmuscle
in the nonfixing eye, thus increasing its vertical excur-
sion.Theverticalforcevectorsoftheverticalrectusmuscles
do not vary as much between adduction and abduction as
do the force vectors of the oblique muscles. Conse-
quently, the influence of the vertical muscles in the fixing
eye would also tend to result in an approximately linear
vertical trajectory of the nonfixing eye if the overelevation
or overdepression was primarily caused by ocular torsion.
The fact that the trajectory is curvilinear suggests that tor-
sion is not the primary cause.
Investigation 3, which studied the effect of horizon-
tal rectus transposition on both the alphabet pattern and
ocular torsion, is probably the most compelling. At first
glance, it would seem conclusive that if increasing tor-
sion still resulted in a decrease in the pattern that tor-
sion could not be the primary cause of the pattern. To
fully analyze the implications of these findings, how-
ever, the effect of the transposition on other affected
muscles must be analyzed. Consider a patient with V pat-
tern esotropia, mild bilateral inferior oblique muscle over-
action, and bilateral extorsion. If the medial rectus muscles
are surgically infraplaced, they might be moving from an
abnormally elevated position preoperatively (due to the
extorsion) to a more normal position, depending on
whether they in fact were abnormally elevated initially.
This would decrease the vertical force vector of preop-
eratively abnormally elevated medial rectus muscle and
increase its horizontal force vector. The lateral rectus
muscle, which might have been abnormally down pre-
operatively due to the extorsion, would be moved down
even further when the surgery increases the extorsion.
This exacerbation of the downward force vector of the
lateral rectus muscle would cause an apparent increase
in the inferior oblique muscle overaction as the abduct-
ing eye would be lower than the adducting eye. Simi-
larly, the increased extorsion will increase the adduct-
ing force of the inferior rectus muscle and the abducting
force of the superior rectus muscle. Thus, the increase
in extorsion caused by infraplacing the medial rectus
muscles should worsen the overelevation in adduction
and also worsen the V pattern. In fact, vertical transpo-
sition of the horizontal rectus muscles decreased the pat-
tern in all patients. No patient experienced an increase
in overelevation or overdepression in adduction, and some
showed a slight decrease. Thus, even when taking into
account the effect of rectus muscle transposition on un-
operated-on muscles, it appears that torsion cannot be
the main cause of either pattern strabismus or overel-
evation or overdepression in adduction.
Prior studies on induced torsional changes after trans-
position of the horizontal rectus muscle to treat A or V
patterns only looked at subjective torsion using the double
Maddox rods, Maddox wing, or an amblyoscope and
found essentially no torsional change.30
However, we now
know that subjective torsion does not correlate with the
actual anatomical torsional position of the eyes in pa-
tients without bifoveal fusion or if the strabismus had its
onset in childhood.16,22
Studying the actual anatomical
change in torsion (objective torsion) would be a more
useful way of determining if torsion is the cause of pat-
tern strabismus or oblique muscle overaction. More re-
cently, Sharma and coworkers31
studied the effect of hori-
zontal rectus muscle transposition for treating A and V
patterns on both objective and subjective torsion. Al-
though they only assessed subjective torsion quantita-
tively and looked at objective torsion qualitatively, they
alsofoundthatrectusmuscletranspositionroutinelywors-
ened the existing torsion.
Some authors have suggested that ocular torsion is the
maincauseofalphabetpatternsandoverelevationandover-
depression in adduction,14
whereas I have felt it is merely
contributory. This difference can have important clinical
implications. If torsion were the main cause of alphabet
patterns, vertical transpositions of the horizontal rectus
muscles would be a counterproductive treatment modal-
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©2010 American Medical Association. All rights reserved.
at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
ity because of its adverse affect on torsion. Surgery pri-
marily designed to correct torsion would be needed. If ob-
lique muscle surgery has either already been performed,
or is not clinically indicated, one would need to trans-
pose rectus muscles in the opposite direction than that
which would be indicated by the principles shown in
Figure 3A. In fact, more 50 years of experience has shown
that rectus muscle transposition in the direction that ap-
pears to worsen torsion is indeed effective for treating al-
phabet patterns.2,18
Similarly, if a patient has overeleva-
tion or overdepression in adduction, a surgical procedure
that is purely aimed at correcting the accompanying tor-
sion may not be effective, as evidenced by the patients in
investigation 2 of this study.
The importance of orbital pulley abnormalities is an
evolving area in the understanding of alphabet patterns. Al-
though there are patients in whom surgery to address the
orbital pulley abnormalities has been successful in treat-
ing alphabet patterns, the relative incidence of pulley prob-
lems as a cause for pattern strabismus is unclear.9,32
The
long and proven history of treating alphabet patterns with
standardobliquemusclesurgeryorhorizontalrectusmuscle
transpositions suggests that pulley problems are not uni-
formly the cause of pattern strabismus.
It appears that although ocular torsion may contrib-
ute to alphabet patterns and overelevation or overde-
pression in adduction, it is probably not the major cause
of these phenomena.
Submitted for Publication: August 25, 2009; final revi-
sion received November 3, 2009; accepted November 4,
2009.
Correspondence: Burton J. Kushner, MD, 2870 Univer-
sity Ave, Ste 206, Madison, WI 53705 (bkushner@wisc
.edu).
Financial Disclosure: None reported.
Funding/Support: This work was supported in part by
an unrestricted grant from Research to Prevent Blind-
ness, Inc, New York, New York.
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at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from

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Effect of ocular torsion on a and v patterns and apparent oblique muscle overaction

  • 1. CLINICAL SCIENCES Effect of Ocular Torsion on A and V Patterns and Apparent Oblique Muscle Overaction Burton J. Kushner, MD Objective: To determine if ocular torsion is a major cause of A and V patterns and oblique muscle overaction or merely a contributing factor. Methods: Three separate investigations were con- ducted. (1) The trajectory of eyes with oblique muscle overaction was plotted across the horizontal field of gaze from videographs to determine if it was linear or curvilinear. (2) The effect of successful Harada-Ito surgery to reduce extorsion on overelevation in adduc- tion in patients with fourth cranial nerve palsy was studied. (3) The effect of successful surgery to treat pattern strabismus in the form of vertical transposition of the horizontal rectus muscles on objective torsion was studied. Results: (1) Three eyes with inferior oblique muscle over- action and 2 with superior oblique muscle overaction had a curvilinear rise or fall (respectively) as they moved into adduction. (2) Surgery that successfully decreased extor- sion had a negligible effect on overelevation in adduction in 2 patients. (3) Horizontal rectus muscle transposition that was uniformly successful in eliminating A or V pat- terns consistently caused an increase in objective torsion in all 5 patients studied. Conclusion: Ocular torsion may contribute to A or V pat- ternsandoverelevationoroverdepressioninadduction,but it is probably not the major cause of these phenomena. Arch Ophthalmol. 2010;128(6):712-718 E STIMATES OF THE OCCUR- rence of A or V patterns with horizontal strabismus range between 12% and 50%, de- pending on the nature of the series from which the figure is derived.1-5 Overtheyears,variousetiologieshavebeen proposed for A and V patterns. These have included differing action of the horizon- tal rectus muscles in upgaze vs down- gaze,1,6 weakness of the vertical rectus muscles,7 abnormal sagittalization of the oblique muscles,8 and more recently or- bital pulley abnormalities.9 However, the most popular theory, proposed by Knapp2 in 1959, implicates abnormal oblique muscle function as the cause of A and V patterns. Abduction is the tertiary action of the oblique muscles. If the inferior ob- lique muscles are overacting and the su- perior oblique muscles are underacting, there will be an excessive force vector for abduction in upgaze and a relatively de- ficient abducting force vector in down- gaze, resulting in a V pattern. Con- versely,superiorobliquemuscleoveraction and inferior oblique muscle underaction will cause a relative divergence in down- gaze compared with upgaze, producing an A pattern. This is the basis for the Knapp theory. Based on some prior studies by Weiss10 and Morax et al11,12 in patients with cranio- facial anomalies, I calculated the effect that ocular torsion may play in contributing to A and V patterns, as well as to the overel- evation or overdepression seen in adduc- tion in patients with oblique muscle over- action.13 For example, if a patient has a V pattern with inferior oblique muscle over- action, each eye will be extorted. This will rotate the insertions of the rectus muscles counterclockwiseintherighteyeandclock- wiseinthelefteye.Thechangeinforcevec- tor resulting from this rotation will create an abducting force from the superior rec- tus muscles and an adducting force from the inferior rectus muscles, which will con- tributetotheVpattern.Inaddition,thenew positions of the insertions of the horizon- tal rectus muscles will make the medial rec- tus muscles partial elevators in adduction and the lateral rectus muscles partial de- pressors in abduction. This will accentu- ate the overelevation seen in adduction (Figure 1 and Figure 2). I calculated that Author Affiliation: Department of Ophthalmology and Visual Sciences, University of Wisconsin, Madison. (REPRINTED) ARCH OPHTHALMOL/VOL 128 (NO. 6), JUNE 2010 WWW.ARCHOPHTHALMOL.COM 712 ©2010 American Medical Association. All rights reserved. at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
  • 2. for the average amount of torsion observed in a series of patients with A and V patterns, these new force vectors were substantial. The extorsion seen in patients with V pat- terns will cause the new force vector of each rectus muscle to be approximately equal to 24% of its original force, eg, an abducting force of the superior rectus muscle, elevat- ing force of the medial rectus muscle, and similar changes in the lateral rectus muscle and inferior rectus muscle. The converse occurs with intorsion accompanying A pat- terns. Although these calculations were made before the recognition of orbital pulleys,9 and hence are probably not quantitatively accurate, they should be qualitatively valid. In a publication in 1994, Guyton and Weingarten14 car- ried this hypothesis an important step further by hypoth- esizing how the disruption of fusion that occurs with hori- zontal strabismus may result in a free-wheeling torsional drift of the eyes. This sets the stage for the development of A or V patterns as well as overelevation or overdepres- sion in adduction. Later, Miller and Guyton15 confirmed this hypothesis in patients who lost fusion after strabis- mussurgery.However,althoughIconceptualizedthatocu- lar torsion was merely a contributing factor to A and V pat- terns, as well as overelevation or overdepression in adduction, others describe this as the major causative fac- tor.14 Which of these differing hypotheses is correct can have important practical clinical implications in choos- ing a surgical plan to treat some patients. Specifically, when addressing A or V patterns, should the surgical plan take into account the vertical and horizontal actions of the op- erated-on muscles, or is treating torsion sufficient? FM FL MR FS SR FI IR LR MR SR IR LR FM FM2 FM1 FI FI2 FI1 FL2 FL FL1 FS FS2 FS1 Extorsion Figure 1. The initial force vector of each rectus muscle in this left eye is depicted as an arrow F with a subscript to denote the specific muscle, ie, Fs for the superior rectus muscle, FM for the medial rectus muscle, FI for the inferior rectus muscle, and FL for the lateral rectus muscle. An excyclorotation of the eye will result in a clockwise rotation of the insertion of the muscles. This will create a force vector for elevation for the medial rectus muscle (MR), abduction for the superior rectus muscle (SR), depression for the lateral rectus muscle (LR), and adduction for the inferior rectus muscle (IR). The magnitude of the new force vectors for each muscle can be represented by vector analysis. For the SR, the new vector for elevation is Fs1 and for abduction is Fs2. For the other rectus muscles, similar notation is used for the new vertical and horizontal force vectors. Extorsion Extorsion Figure 2. If the torsional changes that are depicted in Figure 1 occurred in both eyes, the new force vectors would cause divergence in upgaze and convergence in downgaze. In addition, there would be an elevation of the adducting eye and depression of the abducting eye. Thus, these torsional changes that occurred as a result of extorsion contribute to both the V pattern and the overelevation seen in adduction. (REPRINTED) ARCH OPHTHALMOL/VOL 128 (NO. 6), JUNE 2010 WWW.ARCHOPHTHALMOL.COM 713 ©2010 American Medical Association. All rights reserved. at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
  • 3. The purpose of this study was to determine if ocular torsion is the primary cause, or merely a contributing fac- tor, in the genesis of A and V patterns as well as overel- evation or overdepression in adduction. METHODS This study consists of a series of 3 different investigations made from patients in my clinical practice. The study was approved by the University of Wisconsin institutional review board and was compliant with the Health Insurance Portability and Ac- countability Act. INVESTIGATION 1: TRAJECTORY OF OBLIQUE MUSCLE OVERACTION In my oral discussion of the Guyton and Weingarten presen- tation on the effect of torsion on pattern strabismus and ob- lique muscle overaction, I suggested that the elevation of an eye with inferior oblique overaction as it moved from abduc- tion to adduction should be approximately linear, if the force vector changes of the rectus muscles from torsion as depicted in Figure 1 and Figure 2 were responsible for the apparent over- action (B.J.K., unpublished oral discussion of “Sensory Tor- sion as the Cause of Primary Oblique Muscle Overaction/ Underaction and A and V” patterns by Guyton and Weingarten at the 19th annual scientific meeting of the American Associa- tion for Pediatric Ophthalmology and Strabismus, Palm Springs, California, April 20, 1993). The same should be true for the depression of an eye with superior oblique muscle overaction as it moves into adduction. However, if the elevation or de- pression were caused by an increase in the vertical torque vec- tor of the respective oblique muscle, the elevation or depres- sion should follow a relatively curvilinear course, which is more consistent with the change in vertical force vector of the re- spective muscle in adduction. For this investigation, the motility of patients with primary inferior or superior oblique muscle overaction was video- taped. Videography was performed while fixation was main- tained with the same eye across the horizontal plane from far adduction to far abduction. Thus, the nonfixing eye was mov- Extorsion FH 45° FV F M SR OS LR IR M R A B Figure 3. A, If a horizontal rectus muscle is infraplaced, there will be more slack in the muscle when the eye is in downgaze (top of Figure) than in upgaze. This weakens the primary action of the muscle in downgaze and increases it in upgaze (bottom of Figure). B, If a medial rectus muscle is infraplaced, a new force vector for depression will be created. In addition, a torsional force vector will be created in the direction toward the original insertion. With infraplacement of the medial rectus muscle (MR), a force vector is created that will cause extorsion. FH indicates the horizontal vector of the MR; FM, the actual force of the MR; FV, the vertical force vector of the MR; IR, inferior rectus muscle; LR, lateral rectus muscle; OS, left eye; SR, superior rectus muscle. (REPRINTED) ARCH OPHTHALMOL/VOL 128 (NO. 6), JUNE 2010 WWW.ARCHOPHTHALMOL.COM 714 ©2010 American Medical Association. All rights reserved. at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
  • 4. ing from abduction to adduction, and its vertical position across the horizontal plane was analyzed. Individual still frames from the videos were captured at intervals of approximately 0.20 sec- ond and saved as still pictures. The position of the center of the pupil of the nonfixing eye was then graphed as a function of horizontal movement to determine its trajectory as the eye rotated from abduction to adduction across the horizontal plane. To ensure adequate excursion of the nonfixing eye into abduc- tion, I only included patients with 20 prism diopters (PD) or less of esotropia or exotropia in the primary position. No spe- cific mechanical device (eg, bite bar, forehead rest) was used to control head position during videotaping. However, the still frames were analyzed by drawing a line between the outer can- thi of each eye. The orientation of the line was compared in selected images across the horizontal gaze field to ensure there was no inadvertent tilting of the head. INVESTIGATION 2: EFFECT OF REDUCING THE EXCYLOTROPIA ON OVERELEVATION IN ADDUCTION IN PATIENTS WITH INFERIOR OBLIQUE MUSCLE OVERACTION If the excyclotropia that accompanies inferior oblique muscle overaction is primarily responsible for the overelevation in ad- duction, reducing the torsion should reduce the overeleva- tion. This investigation involved studying the effect of purely torsional surgery on the overelevation in adduction in pa- tients with inferior oblique muscle overaction secondary to fourth cranial nerve palsy. Torsion was measured subjectively before and after surgery using the double Maddox rod test in the previously described manner16 and objectively with fun- dus photography. Measurements of the angle of strabismus were made at 6 m with appropriate spectacle correction in place using the prism and alternating cover test. Oblique muscle function was subjectively graded using a 9-point scale (−4 to ϩ4). The patients in this investigation had been previously described in a report of surgical procedures to treat torsion,17 and their rec- ords were retrospectively reviewed for this study. INVESTIGATION 3: EFFECT OF VERTICAL TRANSPOSITION OF HORIZONTAL RECTUS MUSCLES ON BOTH THE TORSION AND ALPHABET PATTERNS If ocular torsion is primarily responsible for A and V patterns, surgery that corrects a pattern should decrease torsion, and sur- gery that worsens torsion should worsen an A or V pattern. Al- phabet patterns are often treated with vertical transposition of the horizontal rectus muscles.2,18 When a rectus muscle is trans- posed, 3 separate changes in force vector occur. The muscle’s primary action is lessened when the eye is rotated in the di- rection of the transposition and increased when the eye is ro- tated in the opposite direction (Figure 3A). This is the basis for using horizontal rectus muscle transpositions to treat A or V patterns.18 However, at the same time, a vertical force vector is created in the direction the muscle is moved. This is the prin- ciple behind using muscle transposition surgery to treat para- lytic strabismus such as sixth cranial nerve palsy or monocu- lar elevation deficiency. Finally, a torsional force vector is created in the direction from which the muscle was moved (Figure 3B).18-20 Consequently, transposition of the horizontal rectus muscles to treat pattern strabismus should theoreti- cally create a torsional change in the opposite direction from what is desired. For example, a V pattern esotropia is often as- sociated with inferior oblique muscle overaction and objec- tive extorsion.18,21 However, successful treatment of a V pat- tern with only minimal inferior oblique muscle overaction can involve medial rectus muscle recessions with infraplacement, which should in theory worsen the extorsion. This investiga- tion studied the change in objective torsion and the magni- tude of A or V patterns in patients undergoing surgery consist- ing of vertical transposition of horizontal rectus muscles to treat the patterns. Transposition surgery was accomplished by keep- ing the superior and inferior poles of the new insertion of the transposed muscle a consistent distance from the limbus. For example, if a muscle was initially inserted 5 mm from the lim- bus, and the recession was 5 mm, the entire length of the new insertion was 10 mm from the limbus. Fundus torsion was docu- mented photographically before and after surgery and graded in the manner previously described.16 This grading system, which is a modification of that described by Guyton,22 allows for a quan- titative assessment of torsion on a scale of 0 to ϩ4 as well as a calculation of the change in torsion between different exami- nations in actual degrees. Strabismus measurements were all made at 6 m with appropriate optical correction in place using the prism and alternating cover test. For investigations 2 and 3, the outcome examination was approximately 6 weeks after surgery. RESULTS INVESTIGATION 1: TRAJECTORY OF OBLIQUE MUSCLE OVERACTION This investigation included 3 patients with bilateral pri- mary inferior oblique muscle overaction and 2 with bilateral primary superior oblique muscle overaction. All 5 patients had decompensated partly accommoda- tive esotropia, had not undergone prior surgery, and did not have dissociated vertical divergence. For all 5 patients, the elevation or depression of the eye was cur- vilinear as the eye moved from abduction to adduction. Figure 4 shows the analysis of 1 patient with inferior oblique muscle overaction that was graded as ϩ4 bilat- erally. The plot of eye position for the other 2 patients with inferior oblique muscle overaction was similar; for the 2 patients with superior oblique muscle overaction, the trajectories were inverted but similar. This suggests x x x x x x x x x x x x x x x x x . .. . .. .. .. Figure 4. Diagrammatic representation of the trajectory of the right eye of a patient with ϩ4 bilateral inferior muscle overaction as it moved from far abduction to far adduction while the fixing left eye moved across the horizontal plane. Each “x” denotes the location of the center of the pupil of the right eye. The curvilinear rise of the right eye as it moved into adduction suggests the overelevation in adduction is due to the change in vertical force vector of the inferior oblique muscle as the eye progressively adducts. The curvilinear fall of the right eye in abduction is a function of the overaction of the left inferior oblique muscle and the fact that the left eye maintained fixation in the horizontal plane. (REPRINTED) ARCH OPHTHALMOL/VOL 128 (NO. 6), JUNE 2010 WWW.ARCHOPHTHALMOL.COM 715 ©2010 American Medical Association. All rights reserved. at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
  • 5. that the change in vertical force vector of the oblique muscle between abduction and adduction is the pri- mary cause of the overelevation or overdepression in patients with primary oblique muscle overaction. On the contrary, if ocular torsion were the primary cause for the overelevation or overdepression seen in adduc- tion in these patients, one would expect the rise or fall should be approximately linear. INVESTIGATION 2: EFFECT OF REDUCING THE EXCYLOTROPIA ON OVERELEVATION IN ADDUCTION IN PATIENTS WITH INFERIOR OBLIQUE MUSCLE OVERACTION This investigation involved 2 patients with unilateral ac- quired superior oblique muscle palsy for which each had undergone contralateral inferior rectus muscle reces- sion by other ophthalmologists. This corrected the hy- pertropia in the primary position but left them with re- sidual bothersome diplopia due to persistent exyclotropias of 8° and 9°, respectively. They each had ϩ3 unilateral inferior oblique muscle overaction of the affected eye. Al- though they had undergone contralateral inferior rectus muscle recession, neither had objective torsion of the con- tralateral eye as determined by fundus photography, al- though in both patients the position of the fovea was closer to the border for intorsion than extorsion. Because they had no hypertropia in the primary position, they each underwent a modified Harada-Ito procedure.23,24 After sur- gery, they each reported no torsion with the double Mad- dox rod test; however, the inferior oblique muscle over- action was unchanged in 1 patient and only decreased from ϩ3 to ϩ2 in the other. Before surgery, the hyper- tropia of the affected eye measured 12 PD and 10 PD in adduction in the 2 patients, respectively, and after sur- gery, it was only reduced to 10 and 6 PD, respectively. They had a V pattern reduction of 2 and 4 PD, respec- tively, which was identical to the reduction of the hy- pertropia in adduction. Neither had a hypertropia in the primary position postoperatively. INVESTIGATION 3: EFFECT OF VERTICAL TRANSPOSITION OF HORIZONTAL RECTUS MUSCLES ON BOTH THE TORSION AND ALPHABET PATTERNS For this investigation, 5 patients with horizontal strabis- mus associated with an alphabet pattern underwent sur- gery in the form of bilateral horizontal rectus recessions with one-half or three-quarter tendon width vertical trans- position. Three had V patterns with decompensated partly accommodative esotropia, and 2 had A patterns with in- termittent exotropia. All had mild oblique muscle over- action (inferior oblique muscle for the V patterns and su- perior oblique muscle for the A patterns), and all had objective extorsion or intorsion, respectively. In all pa- tients, the pattern was effectively collapsed with the sur- gery, and in all patients, there was a small increase in the fundus torsion after surgery (mean sum of right and left eyes for the 5 patients was 6.4°; range, 5°-7°). No pa- tient experienced an increase in the oblique muscle over- action of either eye, and 2 patients each had a mild de- crease in 1 eye. The details of these patients are presented in the Table. COMMENT This study consisted of 3 investigations to assess differ- ent observations that could address the issue of whether ocular torsion is the primary cause of pattern strabis- mus or apparent oblique muscle overaction, or if it is merely contributory. All 3 suggested that ocular torsion was not primarily responsible for either. Prior investigations support this hypothesis. In my oral discussion of the Guyton and Weingarten presentation on the effect of torsion on pattern strabismus and ob- lique muscle overaction (B.J.K., unpublished oral dis- cussion of “Sensory Torsion as the Cause of Primary Ob- lique Muscle Overaction/Underaction and A and V” patterns by Guyton and Weingarten at the 19th annual Table. Objective Torsion and Alphabet Pattern in Patients Undergoing Vertical Transposition of Horizontal Rectus Muscle to Treat A or V Pattern Case No. Preoperative Surgery Postoperative Pattern and Pattern Sizea Oblique Overaction, R/L Objective Torsion, R/L Pattern and Sizea Oblique Overaction, R/L Change in Objective Torsion, Degrees,b R/L 1 18 V-ET ϩ1/ϩ1 ϩ3 ex/ϩ3 ex Rec MROU and infraplace 3⁄4 T 2 V-ET ϩ1/ϩ1 ϩ4/ϩ3 2 20 V-ET ϩ2/ϩ2 ϩ4 ex/ϩ3 ex Rec MROU and infraplace 3⁄4 T 5 V-ET ϩ2/ϩ1 ϩ3/ϩ4 3 15 V-ET ϩ1/ϩ2 ϩ3 ex/ϩ3 ex Rec MROU and infraplace 1⁄2 T No pattern ϩ1/ϩ2 ϩ3/ϩ3 4 15 A-XT ϩ1/ϩ1 ϩ2 in/ϩ2 in Rec LROU and infraplace 1⁄2 T 5 A-ET ϩ1/ϩ1 ϩ2/ϩ3 5 20 A-XT ϩ2/ϩ2 ϩ3 in/ϩ3 in Rec LROU and infraplace 3⁄4 T 5 A-XT ϩ2/ϩ1 ϩ3/ϩ4 Abbreviations: A-ET, A pattern esotropia; A-XT, A pattern exotropia; ex, extorsion; in, intorsion; L, left eye; LROU, lateral rectus muscles in both eyes; MROU, medial rectus muscles in both eyes; R, right eye; Rec, recess; V-ET, V pattern esotropia; 1⁄2 T, one-half tendon width; 3⁄4 T, three-quarters tendon width. aDifference in horizontal alignment between upgaze and downgaze in prism diopters. bA positive number indicates torsion in the same direction as preoperatively, however, increased in magnitude. (REPRINTED) ARCH OPHTHALMOL/VOL 128 (NO. 6), JUNE 2010 WWW.ARCHOPHTHALMOL.COM 716 ©2010 American Medical Association. All rights reserved. at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
  • 6. scientific meeting of the American Association for Pedi- atric Ophthalmology and Strabismus, Palm Springs, April 20, 1993), I stated that I had the impression that objec- tive torsion is often present in children with infantile eso- tropia, long before they develop overelevation in adduc- tion. I reasoned that if torsion is the cause of overelevation in adduction in patients with inferior oblique muscle over- action, the 2 findings should theoretically occur approxi- mately concurrently. Subsequently, in 1996, Eustis and Nussdorf25 published a prospective study that nicely ad- dressed the relative timing of the onset of primary infe- rior oblique overaction and the appearance of objective extorsion. They found that the occurrence of fundus ex- torsion was highly predictive of subsequent develop- ment of overelevation in adduction in patients with in- fantile esotropia, but the former often preceded the latter by as much as several years. Investigation 1 confirmed that the vertical trajectory of an eye with superior or inferior oblique muscle overac- tion is curvilinear as the eyes move across the horizontal field. The altered force vectors of the horizontal rectus muscles in a torted, nonfixing eye as depicted in Figure 1 should produce an approximately linear elevation or de- pressionofthenonfixing,tortedeyeastheeyesmoveacross the horizontal plane, if their force vectors were the main factors responsible for the vertical excursion. In fact, the behavior of the fixing eye should also play a role. Con- sider, for example, a patient with bilateral superior muscle overaction and bilateral extorsion. When the fixing eye is in the adducted position, there will need to be innervation to elevate the eye to overcome the depression that would be driven by the overacting superior oblique muscle and/or the depression caused by the incyclorotated medial rectus muscle insertion to maintain the eye in the fixing position on the horizontal plane. Although the field of greatest el- evation of the inferior oblique muscle is in adduction, it has been shown that the superior rectus is still a greater elevator across the entire horizontal plane than the infe- rior oblique muscle.26-29 The converse is true for depres- sion that primarily comes from the inferior rectus muscle across the horizontal gaze fields even though the superior oblique muscle has its greatest vector for depression in ad- duction. Thus, in the example of a patient with bilateral superiorobliquemuscleoveraction,theelevatingforcevec- tor to overcome the downward pull from the overacting superior oblique muscle and the incyclorotated position of the medial rectus insertion would come primarily from the superior rectus muscle in the fixing eye. This would bematchedwithfurtherinputtothesuperiorrectusmuscle in the nonfixing eye, thus increasing its vertical excur- sion.Theverticalforcevectorsoftheverticalrectusmuscles do not vary as much between adduction and abduction as do the force vectors of the oblique muscles. Conse- quently, the influence of the vertical muscles in the fixing eye would also tend to result in an approximately linear vertical trajectory of the nonfixing eye if the overelevation or overdepression was primarily caused by ocular torsion. The fact that the trajectory is curvilinear suggests that tor- sion is not the primary cause. Investigation 3, which studied the effect of horizon- tal rectus transposition on both the alphabet pattern and ocular torsion, is probably the most compelling. At first glance, it would seem conclusive that if increasing tor- sion still resulted in a decrease in the pattern that tor- sion could not be the primary cause of the pattern. To fully analyze the implications of these findings, how- ever, the effect of the transposition on other affected muscles must be analyzed. Consider a patient with V pat- tern esotropia, mild bilateral inferior oblique muscle over- action, and bilateral extorsion. If the medial rectus muscles are surgically infraplaced, they might be moving from an abnormally elevated position preoperatively (due to the extorsion) to a more normal position, depending on whether they in fact were abnormally elevated initially. This would decrease the vertical force vector of preop- eratively abnormally elevated medial rectus muscle and increase its horizontal force vector. The lateral rectus muscle, which might have been abnormally down pre- operatively due to the extorsion, would be moved down even further when the surgery increases the extorsion. This exacerbation of the downward force vector of the lateral rectus muscle would cause an apparent increase in the inferior oblique muscle overaction as the abduct- ing eye would be lower than the adducting eye. Simi- larly, the increased extorsion will increase the adduct- ing force of the inferior rectus muscle and the abducting force of the superior rectus muscle. Thus, the increase in extorsion caused by infraplacing the medial rectus muscles should worsen the overelevation in adduction and also worsen the V pattern. In fact, vertical transpo- sition of the horizontal rectus muscles decreased the pat- tern in all patients. No patient experienced an increase in overelevation or overdepression in adduction, and some showed a slight decrease. Thus, even when taking into account the effect of rectus muscle transposition on un- operated-on muscles, it appears that torsion cannot be the main cause of either pattern strabismus or overel- evation or overdepression in adduction. Prior studies on induced torsional changes after trans- position of the horizontal rectus muscle to treat A or V patterns only looked at subjective torsion using the double Maddox rods, Maddox wing, or an amblyoscope and found essentially no torsional change.30 However, we now know that subjective torsion does not correlate with the actual anatomical torsional position of the eyes in pa- tients without bifoveal fusion or if the strabismus had its onset in childhood.16,22 Studying the actual anatomical change in torsion (objective torsion) would be a more useful way of determining if torsion is the cause of pat- tern strabismus or oblique muscle overaction. More re- cently, Sharma and coworkers31 studied the effect of hori- zontal rectus muscle transposition for treating A and V patterns on both objective and subjective torsion. Al- though they only assessed subjective torsion quantita- tively and looked at objective torsion qualitatively, they alsofoundthatrectusmuscletranspositionroutinelywors- ened the existing torsion. Some authors have suggested that ocular torsion is the maincauseofalphabetpatternsandoverelevationandover- depression in adduction,14 whereas I have felt it is merely contributory. This difference can have important clinical implications. If torsion were the main cause of alphabet patterns, vertical transpositions of the horizontal rectus muscles would be a counterproductive treatment modal- (REPRINTED) ARCH OPHTHALMOL/VOL 128 (NO. 6), JUNE 2010 WWW.ARCHOPHTHALMOL.COM 717 ©2010 American Medical Association. All rights reserved. at Capes Consortia, on July 5, 2010www.archophthalmol.comDownloaded from
  • 7. ity because of its adverse affect on torsion. Surgery pri- marily designed to correct torsion would be needed. If ob- lique muscle surgery has either already been performed, or is not clinically indicated, one would need to trans- pose rectus muscles in the opposite direction than that which would be indicated by the principles shown in Figure 3A. In fact, more 50 years of experience has shown that rectus muscle transposition in the direction that ap- pears to worsen torsion is indeed effective for treating al- phabet patterns.2,18 Similarly, if a patient has overeleva- tion or overdepression in adduction, a surgical procedure that is purely aimed at correcting the accompanying tor- sion may not be effective, as evidenced by the patients in investigation 2 of this study. The importance of orbital pulley abnormalities is an evolving area in the understanding of alphabet patterns. Al- though there are patients in whom surgery to address the orbital pulley abnormalities has been successful in treat- ing alphabet patterns, the relative incidence of pulley prob- lems as a cause for pattern strabismus is unclear.9,32 The long and proven history of treating alphabet patterns with standardobliquemusclesurgeryorhorizontalrectusmuscle transpositions suggests that pulley problems are not uni- formly the cause of pattern strabismus. It appears that although ocular torsion may contrib- ute to alphabet patterns and overelevation or overde- pression in adduction, it is probably not the major cause of these phenomena. Submitted for Publication: August 25, 2009; final revi- sion received November 3, 2009; accepted November 4, 2009. Correspondence: Burton J. Kushner, MD, 2870 Univer- sity Ave, Ste 206, Madison, WI 53705 (bkushner@wisc .edu). Financial Disclosure: None reported. 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