Abstract
Background: Computational modeling is a tool being deployed for orthopaedic solutions but its use in
the hand and wrist remains limited. This work used a model to simulate a clinically relevant provocative
scaphoid shift maneuver (SSM) with different levels of scapholunate interosseous ligament (SLIL) injuries
to observe the effect on different metrics. Methods: A personalized model simulated the full SSM
motion cycle from ulnar deviation with extension to radial deviation with flexion informed by the
participant’s motion obtained from dynamic computed tomography. Models repeated the SSM under
different levels of SLIL injury and reported changes in joint kinematics, contact mechanics, and ligament
forces. Results: The fully injured model increased scaphoid dorsal translation, flexion, and radial
deviation compared to the intact condition and caused a subluxation of the scaphoid. Radioscaphoid
contact areas were approximately 200% greater in the fully injured model compared with all others and
the fully injured model was the only condition where contact force decreased across the motion cycle.
Ligament forces in the intact condition were on average 33.0 N and 54.2 N for the volar and dorsal SLIL,
respectively. Lastly, the long radiolunate, an extrinsic stabilizer, had forces that increased following SLIL
injury. Conclusions: Computational models can successfully recreate clinically observed behaviors of an
SSM, including scaphoid subluxation, while providing new insights via quantification of contact
mechanics and ligament forces. Contact mechanics metrics may be important for understanding the
long-term progression of untreated SLIL injuries to osteoarthritis. Additionally, ligament force metrics
may explain the progression of SLIL injuries from volar SLIL to dorsal SLIL and highlight the importance of
repairing extrinsic stabilizers of the joint, due to increased force sharing following SLIL injury. This work
provides a pathway to future studies investigating the effects of SLIL injury and repair, both acutely and
chronically.
Copyright 2026 Mayo Foundation for Medical Education and Research.
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1 Introduction
Computational modeling in biomechanics remains a fundamental tool in research1 and industry settings2.
The growing importance of personalized medicine3, along with recent trends in digital twins4-6 and in
silico clinical trials7, has led to an increased prominence of these models in clinical-translational
orthopaedics to predict surgical outcomes8, evaluate new joint arthroplasty component designs9, and
patient-specific implant assessment10. Still, compared to the lower extremity, the use of computational
models in the upper extremity remains limited.
Of the six major appendicular joints (ankle, knee, hip, wrist, elbow, shoulder), finite element
modeling (FEM, a computational modeling technique frequently used in engineering) has been least
frequently applied to the wrist11. Wrist modeling remains difficult because of the large number of
structures (bones, ligament, cartilage, etc.) and a paucity of open-source experimental data12. Moreover,
most models are limited to static or simplified simulations of joint forces or motion12,13. As such, they do
not adequately capture the true complexity of the wrist joint for clinical-translational applications.
Enhancing the complexity and realism of these models will significantly increase their applicability in
clinical-translation settings.
One potential use of FEM is recreating clinical exam maneuvers. For instance, the scaphoid shift
maneuver (SSM, also called scaphoid shift test or Watson test)14, is often performed to identify patients
with scapholunate interosseous ligament (SLIL) tears15. The SSM is frequently described as moving the
wrist from full ulnar deviation with slight extension to full radial deviation with slight flexion while
maintaining dorsal-directed pressure on the scaphoid. Positive tests include excessive dorsal motion or
subluxation of the scaphoid16 and have approximately 45-80% sensitivity and 62-71% specificity16-18 for
diagnosis of SLIL tears. These provocative maneuvers are crucial in clinical settings19, but have not been
explored with computational modeling12.
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While the exact ligaments injured depend on a range of factors including injury mechanism, severity, and
patient-specific factors, SLIL tears commonly start at the volar SLIL (VSL), progressing to the proximal SLIL
(PSL) and lastly the dorsal SLIL (DSL)20,21. Severe injuries increase coronal plane scaphoid-lunate gap (in
extreme cases exhibiting scapholunate diastasis) and dorsally shift the scaphoid in the sagittal plane20,22.
In cases of injury, the scaphoid and lunate bone rotate in opposition, with the scaphoid flexing,
particularly with radial deviation20. The SSM is designed to accentuate these behaviors. Computation
models can recreate these clinical patterns by quantifying the scaphoid’s kinematic changes in response
to injury: specifically, dorsal-volar translation, radial-ulnar translation, and flexion-extension rotation.
Moreover, these models may provide new insights by quantifying metrics that are otherwise challenging
to observe, e.g. joint contact mechanics (forces, areas, and pressures) and ligament forces. These are
impractical to measure with conventional methods but are a common output of computational methods.
Our goal was to use a validated model of the wrist, developed from a healthy participant dynamically
imaged with four-dimensional computed tomography (4DCT = 3DCT + time), to simulate a SSM for an
intact wrist and at three levels of SLIL injury. The models predicted bone kinematics, joint contact
mechanics, and ligament forces during the SSM. We hypothesized that (1) the scaphoid will have the
greatest dorsal translation, radial translation, and flexion in the model with a complete SLIL injury; (2) A
complete SLIL injury will cause the most dramatic changes to the joint contact mechanics; and (3) there
will be increased force sharing in the surrounding extrinsic ligaments with increased SLIL injury severity.
2 Materials and Methods
An overall workflow is provided in Figure 1. The models used were developed from an existing
personalized wrist model from our prior work11 and driven, in part, using experimentally-obtained joint
motion23,24. The novelty of this work includes methods to simulate an SSM with different types of SLIL
injury to observe kinematics, ligament forces, and contact mechanics.
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2.1 Model and Experimental Data
A personalized computational model was developed in Abaqus Explicit (Dassault Systemes, France) for
an individual (Female, Age 39, Type I lunate-hamate facet) to expand upon previous work11 using data
collected under an IRB-approved study(IRB 20-007668)23,24. The details of model development have been
previously described11 but will be summarized herein. Briefly, participants were imaged in neutral wrist
positions using static CT and during a range of dynamic tasks using 4DCT. Specifications of the data
acquisition methods and parameters have been published previously25,26. Individual bones were
segmented from static CT volumes using Analyze (Mayo Foundation for Medical Education and Research,
Rochester, MN) and used to create 3D surfaces. Our existing registration pipeline was used to determine
the position of the bones in each of the volumes of the 4DCT27,28. In the computational model, the bones
were modeled as rigid structures.
A novel pipeline, based on a publicly-available non-linear morphing algorithm29, was applied to the
bones to automatically predict the location of cartilage and ligament attachment sites. This enables
prediction of soft tissue attachment sites without manual segmentation of soft tissue structures by
mapping the positions identified on a template anatomy to each new instance11.
Using the automated soft tissue sites, a combination of algorithmic techniques—including surface
projection (extracts cartilage thicknesses), k means (identifies ligament fiber endpoints), and the Kuhn-
Munkres algorithm (matches ligament endpoints to create fibers) —were used to create the cartilage
structures and individual ligament fibers11. Cartilage was modeled as rigid but with an optimized non-
linear contact pressure-overclosure relationships between interfaces30, and ligaments were modeled as
non-linear tension only springs30. The completed structures were verified for model compatibility in
HyperMesh (Altair Engineering Inc., Troy, MI). The model encompasses the radius, capitate, scaphoid,
lunate, and ulna bones; cartilages of the distal radius, capitate, scaphoid, and lunate; as well as
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representations of the volar SLIL (VSL), proximal SLIL (PSL), dorsal SLIL (DSL), long radiolunate (LRL), short
radiolunate (SRL), radial collateral (RCL), radioscaphocapitate (RSC), ulnolunate (UL), dorsal radiocarpal
(DRC), scaphocapitate (SCL), and ulnocapitate (UCL) ligaments.
The resulting model applied the participant’s experimentally-obtained kinematics during an unresisted
radial-ulnar deviation task. Ligament material properties—including stiffness and reference strain or
resting length—were optimized to minimize differences between experimentally-obtained kinematics
and model-predicted kinematics, adapting a pipeline previously deployed in the knee30,31. Per recent
recommendations for model credibility32, the model was validated by predicting the scaphoid kinematics
in an unseen joint motion, namely a radial-ulnar deviation motion against resistance. The model
predicted scaphoid kinematics were close to the experimentally-obtained motion with translations
within 0.75 mm and rotations within 3.75°.
Ultimately, this yielded a model with the participant’s unique osseous geometries, individual predicted
cartilage and ligament insertions, and with ligament properties optimized to recreate their
experimentally-obtained joint motion. This model was then used to simulate the SSM.
2.2 Scaphoid Shift Maneuver (SSM) Simulation
The model sought to recreate the effects of a clinical SSM by applying relevant dynamics to the modeled
carpal bones. The model applied wrist movement using displacement control for the capitate and force
control for the scaphoid and lunate. This was achieved through a simulated SSM involving ulnar
deviation with extension (approximately 30 degrees of ulnar deviation and 20 degrees of extension at 0%
motion cycle) through radial deviation with flexion (approximately 10 degrees of radial deviation and 20
degrees of flexion at 100% motion cycle). This approach is based on the motion of the capitate, as it
closely approximates the overall position of the hand relative to the forearm33,34. The range of radial-
ulnar deviation was taken from the participant’s obtained range of motion during a deviation task, and
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the extension-flexion range was derived from prior work35,36. All kinematics reported used a radial-based
coordinate system that was applied to the volumetric centroid of all other bones in the static CT pose.
The dorsal force applied during an SSM was included in the model as a small constant force of 25 N,
based on the approximate average force in prior work37, directed dorsally at the volumetric centroid of
the scaphoid. Whereas true application of this force would be at the scaphoid tubercle, representing
bones as rigid bodies within the model provides an opportunity to simplify the definition of the force
with minimal consequence by applying the force at the volumetric centroid (Figure 3). The small
moment arm of 2.7 mm in the worst case (Figure 3) means that a minimal flexion-extension moment of
0.068 N*m would be neglected with this approach. As such, this simplification is valid with a minimal
impact on the dynamics involved.
2.3 Injury Simulation
In addition to modeling a SSM in an intact state, the model simulated the SSM in three levels of SLIL
intrinsic ligamentous injuries38 by creating complete failures (removal of ligament from analysis) of all
fibers of the affected ligaments at the start of the analysis11. These included isolated injuries to the VSL
(“V”); combined VSL, and PSL (“VP”); and combined VSL, PSL, and DSL (“VPD”). No models contained
injury to the extrinsic stabilizes. All other ligaments beyond VSL, PSL, and DSL, were left intact.
2.4 Output Metric Comparison
Output metrics included scaphoid to radius kinematics, radioscaphoid contact area (total area of
cartilage with non-zero pressures), radioscaphoid contact force (net force magnitude), and average
radioscaphoid contact pressure (force over total area), and the forces in each of the ligaments. Values
were reported both as individual values within the motion cycle, and averages over the full motion cycle.
Model predictions were indirectly validated by comparing model (intact and VPD) predictions against
previous work by Wolfe et al.35. Their study fluoroscopically measured the relationship between
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scaphoid flexion/extension and the dorsal translation in a SSM, with and without the dorsal scaphoid
pressure applied. This work simulated this by creating an additional set of models performing the same
SSM motion but without a dorsal scaphoid force. The differences in scaphoid rotation and dorsal
translation were calculated between the models with and without the dorsal scaphoid force. As reported
by others35, the dorsal translations were normalized to the total volar-dorsal distance of the distal radius
and reported in “radius units” (RU). The points reported35 were digitized and overlaid against the values
herein. Notably, in this work the curves created show the translation and flexion over the full motion
cycle, whereas the original study reported only the difference at the final shift.
3 Results
In the intact wrist (Intact model), there was relatively constant contact pressure between the scaphoid
and radius. In contrast, the model with a complete SLIL injury (VPD model) resulted in dorsal subluxation
of the scaphoid at approximately 80% of the cycle, representing approximately 0° radioulnar deviation
and 10° flexion, with a noticeable spike in contact area, force, and pressure (Figure 4). The motion of
scaphoid in the SSM in the VPD model is qualitatively similar to fluoroscopically-captured SSM presented
in Lui et al.36. The contact pressure region for the scaphoid on the radius in the Intact model was
qualitatively similar across the motion cycle compared to the VPD model, where it began more volarly
and moves dorsally over the motion cycle (Figure 4). Quantitatively, the scapholunate gap increased from
1.3 mm in the Intact model at 0% of the motion cycle to 1.8 mm in the VPD model.
3.1 Kinematics
The average scaphoid dorsal translation, relative to the intact model, was the largest just before the
subluxation for the VPD model of 4.6 mm, followed by the V model with a dorsal shift of 3.0 mm (Figure
5). With injury, the scaphoid radial translation increased with injury up to an average of 1.3 mm in the
VPD model relative to the intact model. Rotations were more variable than translations. Total scaphoid
flexion across the motion cycle was largest in the VPD model at 24.6 degrees prior to subluxation. The
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pronosupination of the scaphoid had the largest joint angle range between models. The scaphoid was
more radially deviated on average in all injury models compared to the intact model.
Differences in scaphoid flexion and dorsal translation between the unloaded and loaded SSM were
compared to the results presented by others35 and showed similar trends, namely that increased
scaphoid flexion was associated with dorsal translation (Figure 6), particularly for the final motion cycle
point.
3.2 Contact Mechanics
At 0% of the motion cycle, the contact area was approximately 200% greater in the VPD model (Figure 7)
compared with the contact area for the other models. Contact force increased for the intact, V, and VP
models throughout the cycle, but decreased for the VPD model before spiking just before the scaphoid
subluxation event. Contact pressure for all models increased as the cycle progressed. Except for the VPD
model contact pressure just prior to subluxation, the V model had the highest cycle-average contact
pressure.
3.3 Ligament Forces
Ligament forces changes (relative to the intact model) varied greatly but were greatest in the VPD model,
followed by the V model, and then the VP model relative to the intact model. Forces in the UCL, UL, and
RCL were less than 5.0 N through the entire motion cycle in all models. For the SLIL, the forces in the PSL
and VSL differed more than the forces in the DSL between injury models across the motion cycle (Figure
8). The force in the VSL (33.0 N maximum, 14.4 N average) was lower than the DSL (54.2 N, 22.6 N
average) in the intact model; however, differences were not constant throughout the motion cycle. The
force in the PSL was less than 1.0 N for all models except for the V model, where force increased (17.9 N
maximum, 10.5 N average). The LRL, an extrinsic stabilizer of the scapholunate joint, had forces that
were greater in the VP and VPD models compared to the intact model. In contrast, the ligament forces in
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the SCL, not usually considered a scapholunate stabilizer, decreased in the V, VP , and VPD models.
Ligament force changes in the SRL, RSC, and DRC were observed but no consistent trends were found.
4 Discussion
Using a personalized wrist model this work simulated an SSM under different SLIL injuries (Figure 1). The
SSM was chosen to represent a clinically-relevant provocative maneuver. The complete intrinsic SLIL
injury model (VPD model) captured the rapid dorsal shift and subluxation of the scaphoid (Figure 4 and
Figure 5) associated with a positive SSM14,15, as well as the radially translated scaphoid and increased
scapholunate gap frequently associated with SLIL injuries20,22. In addition, difference between the
unloaded and loaded SSM (Figure 6) yielded a similar relationship between dorsal displacement and
flexion angle to that reported by others 35. The ability of the models to recreate the complex dynamics of
an SSM, including scaphoid subluxation, demonstrates the usefulness of our modeling approach over
existing work that has been largely limited to static analyses12.
This work demonstrates how these models can offer new insights via quantification of metrics that
would be otherwise difficult to measure. For example, in the V model, the contact force and average
contact pressure increased relative to the fully intact model (Figure 7). Increased joint contact pressure
has previously been shown to be a predictor of osteoarthritis (OA) in other joints39 and may explain the
progression of untreated SLIL injuries to scapholunate advanced collapse pattern OA19. Still, changes in
average contact pressure alone (total force over total contact area) may not be the most appropriate
indicators of wrist OA progression11; rather changes in the location of contact pressure may be just as
important and could be the focus of future studies.
The ligament force changes observed may explain the progression of SLIL ligament injuries (Figure 8).
The maximum ligament forces in the intact wrist during the SSM was 33.0 N and 54.2 N for the VSL and
DSL, respectively. Previous testing shows the rupture strengths to be 117.9 N 260.3 N for the VSL and
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DSL, respectively 40. As a proportion of its overall strength (force over strength), the forces in the VSL are
higher than the DSL and may explain why it is frequently injured first21. Similarly, the increased force
sharing of the PSL following VSL injury (maximum force of 17.9N for a rupture strength of 62.7) may
explain why the next ligament injured is frequently the PSL compared with the DSL21. The relatively
consistent force in the DSL across injury states, combined with increasing forces in the LRL for more
severe injuries, provides evidence for the repair of extrinsic stabilizers.
This work is not free of limitations. This work used an anatomical model derived from one asymptomatic
participant. The models predicted subluxation of the scaphoid only in the most severe VPD injury case,
suggesting that the model can accurately recreate aspects of intact joint dynamics. When these
dynamics are altered, they reflect the behaviors of the injured state observed clinically. This work
demonstrates how these types of models may be used to simulate not only common biomechanical tests
but also important clinical tests. Still, the small sample size inherently limits the broad generalization of
claims. Future work should aim to include a greater number of participants, including those with
arthroscopically confirmed injuries. Additionally, further simulations should be performed to determine
if the observed patterns persist, particularly in more complex injury conditions and across broader
patient demographics. The other limitation is the lack of an anatomically complete wrist model. While
this work was able to show the initial subluxation, it was unable to replicate the “clunk”, that is often
clinically detected, as no structures were modeled that would return the scaphoid to its initial position
following the removal of the applied dorsal force. The inclusion of additional biological structures may
better recreate this phenomenon. Still, the structures modeled match those of prior work41, and as
shown, can recreate the key aspects of the SSM: rapid dorsal translation and flexion of the scaphoid and,
in extreme cases, subluxation.
In conclusion, this work used a personalized computational model of an asymptomatic participant to
simulate the effects of a SSM at different SLIL injury levels. Model outcomes highlighted differences in
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Andreassen et al. Page 11 of 23
kinematics, contact mechanics, and ligament forces between injuries. Models were able to recreate
dynamic behavior of the injury, particularly demonstrating scaphoid subluxation in the fully injured
model. The models herein captured contact mechanics changes that may be important for studying the
interplay between soft-tissue injury and long-term joint mechanics that may be related to OA
development. Lastly, this work identified changes to ligament forces that may explain the progression of
injury from VSL to complete intrinsic SLIL injury, to the involvement of extrinsic ligaments. This work
enables future investigations into how SLIL injuries may impact patients both acutely and chronically.
5 Declaration of Competing Interest
Sanjeev Kakar received royalties or licenses from Arthrex, which was not related to this work. Other
authors declare no known competing financial interests that may influence the work reported in this
manuscript.
6 Funding
The authors would like to thank the National Institute of Arthritis and Musculoskeletal and Skin Diseases
and the National Institute of General Medical Sciences for providing financial support through the
following grants: T32 AR056950, F31 AR082227, R01 AR071338, T32 GM065841, and T32 GM145408.
This work was also supported through the Early-Stage Investigator Research Award from the Mayo Clinic
Office of Core Shared Services.
7 Acknowledgements
The authors would also like to thank Altair Engineering Inc. for generously providing HyperWorks
software to enable this work. The authors would also like to thank the Mayo Clinic Computed
Tomography Clinical Innovation Center for invaluable contributions to data collection as well as the Bio-
Imaging Research Core at Mayo Clinic for their help with this work.
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Figures
Figure 1: Overall study workflow. The portion in the black box represents original model and
experimental data from prior work11. The gray boxes represent the methods employed to simulate injury,
simulate the scaphoid shift maneuver, and then compare output metrics of interest including joint
kinematics, joint contact mechanics (contact area, contact force, and contact pressure) and ligament
forces. The four models built are the intact model (intact SLIL), V model (VSL injury), VP model (VSL and
PSL injury), and the VPD model (VSL, PSL, and DSL injury).
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Figure 2: Simulated scaphoid shift maneuver (SSM) kinematics of the right hand of a participant. Range-
of-motion bounds were empirically determined from 4DCT. Models driven with ulnar deviation and slight
extension (cycle = 0%) to radial deviation and slight flexion (cycle = 100%) while maintaining a small
constant force of 25 N dorsally on the tubercle of the scaphoid.
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Figure 3: (A) Free body diagram of the scaphoid showing the moment that is created by the force applied
to the distal tubercle vs. the volumetric centroid. (B) Calculation for the magnitude of moment that is
neglected by moving the force to the volumetric center and not including the moment in the resulting
analysis.
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Figure 4: Simulated scaphoid shift maneuver (SSM) motion for the intact (intact SLIL) versus VPD (VSL,
PSL, and DSL injury) models. Models demonstrate contact pressure plots with the outline of the scaphoid
highlighted in dashed red region along the radial-ulnar direction. In addition, plots are shown for the
distal radius showing the contact pressure along the distal-proximal direction. In the 75% of the motion
cycle images, the scaphoid in the VPD model is noticeably more rotated in the pronosupination direction
and has had additional scaphoid flexion and dorsal translation compared to the intact model The contact
pressure region for the scaphoid on the radius in the intact model is relatively consistent. In contrast, this
contact region in VPD model begins more volarly and moves dorsally over the motion cycle. Subluxation
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of the scaphoid in the VPD model occurs between 75% -100% of the motion cycle (at approximately 80%
of the cycle).
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Figure 5: Six degree-of-freedom scaphoid kinematics relative to radius during the scaphoid shift
maneuver (SSM) for the intact model (intact ligaments), V model (VSL injury), VP model (VSL and PSL
injury), and the VPD model (VSL, PSL, and DSL injury). Subluxation of the scaphoid in the VPD model
occurs at approximately 80% of the motion cycle.
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Figure 6: Recreation of dorsal displacement versus flexion/extension rotation plot from Wolfe et al. 35of
the scaphoid during the scaphoid shift maneuver (SSM), with results from the intact (intact SLIL) and VPD
(VSL, PSL, and DSL injury) models from the current study. Translations have been normalized to radial
units (RU) by dividing the translation by the approximate total dorsal/volar distance of the distal radius.
The VPD injury model has been truncated to the portion prior to scaphoid subluxation (0% -80% of
motion cycle). Lines represent the complete SSM range of motion, while points from the prior work35
represent the static differences from individual participants. The corresponding points in this work (100%
of the motion cycle for the intact, and instance of subluxation for VPD model) has been marked with a
circle marker to enhance the comparison.
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Figure 7: Scaphoid on radius cartilage contact area, contact force magnitude, and average contact
pressure during the scaphoid shift maneuver (SSM) for the intact model (intact SLIL), V model (VSL
injury), VP model (VSL and PSL injury), and the VPD model (VSL, PSL, and DSL injury). Note: The VPD
model resulted in a subluxation (motion cycle ~= 80%) that yielded very high contact pressures, up to 80
MPa, driven by the very small contact areas. To optimize visualization of the other lines, the y-axis has
been truncated to a maximum pressure of 3 MPa, as values past this exist only for the VPD model
following subluxation, which computationally are prone to significant errors and often physically
meaningless.
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Figure 8: Ligament forces in modeled ligaments during the scaphoid shift maneuver (SSM) for the intact
model (intact SLIL), V model (VSL injury), VP model (VSL and PSL injury), and the VPD model (VSL, PSL,
and DSL injury). Subluxation of the scaphoid in the VPD model occurs at approximately 80% of the
motion cycle.
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