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68 THE BONE & JOINT JOURNAL Patients with recurrent anterior dislocation of the shoulder commonly have an anterior osseous defect in the glenoid. The prevalence of fracture or erosion of the rim of the glenoid ranges from 8% (18/226) to 73% (116/158) in these patients.1,2 As osseous defects may result in loss of concav- ity of the glenoid, the shoulder becomes unstable in the mid-range of movement when stability is achieved by compression of the humeral head into the glenoid labrum through contraction of the rotator cuff.3 Biomechanical studies have shown an inverse relationship between the size of the defect and stability: the larger the defect, the less stable the shoulder.3-5 The rate of recurrent instability after arthro- scopic Bankart repair in patients with a large osseous defect of the glenoid is higher than after bone grafting.6,7 The rationale for not perform- ing bone grafting in all patients with a glenoid defect include concerns about the rate of com- plications, the long term sequelae, and surgical learning curve.8 Thus, defining the critical size of an osseous defect that leads to persistent anterior instability under loading conditions expected by the patient during functional activities will assist clinical decision making.9 Currently, only three biomechanical studies from one group have quantified the critical size of an osseous defect that necessitates bone grafting.3-5 These studies found that, for defects that corre- spond to 19% to 21% of the length of the glenoid, stability cannot be maintained by a Bankart repair SHOULDER & ELBOW The critical size of a defect in the glenoid causing anterior instability of the shoulder after a Bankart repair, under physiological joint loading C. Klemt, D. Toderita, D. Nolte, E. Di Federico, P. Reilly, A. M. J. Bull From Imperial College London, London, United Kingdom C. Klemt, PhD, Post-Doctoral Research Fellow D. Toderita, Undergraduate Student D. Nolte, PhD, Post-Doctoral Research Fellow E. Di Federico, PhD, Post-Doctoral Research Fellow A. M. J. Bull, PhD, Professor of Musculoskeletal Mechanics; Head of Bioengineering Department Department of Bioengineering, Imperial College London, London, UK. P. Reilly, MS, FRCS(Orth), Consultant Orthopaedic Surgeon, Department of Trauma and Orthopaedics, Imperial College Healthcare NHS Trust, London, UK. Correspondence should be sent to C. Klemt; email: c.klemt15@imperial.ac.uk. © 2019 The British Editorial Society of Bone & Joint Surgery doi:10.1302/0301-620X.101B1. BJJ-2018-0974.R1 $2.00 Bone Joint J 2019;101-B:68–74. Aims Patients with recurrent anterior dislocation of the shoulder commonly have an anterior osseous defect of the glenoid. Once the defect reaches a critical size, stability may be restored by bone grafting. The critical size of this defect under non-physiological loading conditions has previously been identified as 20% of the length of the glenoid. As the stability of the shoulder is load-dependent, with higher joint forces leading to a loss of stability, the aim of this study was to determine the critical size of an osseous defect that leads to further anterior instability of the shoulder under physiological loading despite a Bankart repair. Patients and Methods Two finite element (FE) models were used to determine the risk of dislocation of the shoulder during 30 activities of daily living (ADLs) for the intact glenoid and after creating anterior osseous defects of increasing magnitudes. A Bankart repair was simulated for each size of defect, and the shoulder was tested under loading conditions that replicate in vivo forces during these ADLs. The critical size of a defect was defined as the smallest osseous defect that leads to dislocation. Results The FE models showed a high risk of dislocation during ADLs after a Bankart repair for anterior defects corresponding to 16% of the length of the glenoid. Conclusion This computational study suggests that bone grafting should be undertaken for an anterior osseous defect in the glenoid of more than 16% of its length rather than a solely soft-tissue procedure, in order to optimize stability by restoring the concavity of the glenoid. Cite this article: Bone Joint J 2019;101-B:68–74. THE CRITICAL SIZE OF A DEFECT IN THE GLENOID CAUSING ANTERIOR INSTABILITY OF THE SHOULDER 69 VOL. 101-B, No. 1, JANUARY 2019 Table I. Baseline properties for the finite element model of the glenohumeral joint Anatomy Material type Parameter Value Reference Humerus Rigid N/A N/A Terrier et al19 (2007) Humeral cartilage Isotropic elastic E 10 MPa Buchler et al18 (2002) υ 0.4 Glenoid Rigid N/A N/A Terrier et al19 (2007) Glenoid cartilage Isotropic elastic E 10 MPa Buchler et al18 (2002) υ 0.4 Labrum Transversely isotropic hyperelastic C1 3.4 Smith et al16 (2008) C2 5.4 C3 7.0 C4 5.9 C5 5.2 C6 4.8 C7 5.7 C8 4.3 N/A, not available; E, Young’s modulus; υ, Poisson’s ratio; C1 to C8, hyperelastic labral coefficients Fig. 1 Simulated anterior osteotomy lines, at 4%, 8%, 12%, 16%, 20%, and 24% of the length of the glenoid, respectively, parallel to the longitudinal axis of the glenoid. 4% 8% 12% 16% 20% 24% and that stability is only restored after reconstruction of the con- cavity of the glenoid by bone grafting. Clinical guidelines have taken these data as recommendations for bone grafting.10 These biochemical studies involve cadaveric experiments and have limitations, including non-physiological loading with a maximum of 50 N. In vivo measurements from instrumented shoulder implants have reported loads of 151% of body weight during activities of daily living (ADLs).11 As the stability of the shoulder is load-dependent, with higher forces leading to a loss of stability,12,13 the use of physiological loading is essential for the assessment of stability. Finite element (FE) modelling may be used to overcome this limitation of cadaveric studies and to simulate testing under in vivo conditions. The aim of this study was to determine the crit- ical size of an anterior osseous defect in the glenoid that leads to persistent anterior instability of the shoulder under physiologi- cal loading despite a Bankart repair. This may assist in choosing the appropriate surgical procedure for patients with recurrent anterior dislocation. Patients and Methods Detailed information about the development and validation of two subject-specific FE models of the shoulder have been previously described.13 Briefly, two geometrical representations of the right shoulder were obtained from high-resolution slices of the male and female Visible Human data sets.14 The glenoid fossa at the lateral aspect of the scapula, the proximal humerus, the surfaces of the articular cartilage, and the glenoid labrum were manually segmented using Mimics (Mimics Research 17.0; Materialise, Leuven, Belgium). The segmented structures were converted to triangular surface meshes to form a 3D model of the shoulder. Local coordinate systems were assigned to the articulating structures to position and orientate the humerus with respect to the glenoid fossa.15 The meshes were imported into FE analysis software (Marc Mentat 2015.0.0, MSC Software, Palo Alto, California). The articulating bones, the surfaces of Fig. 2 Overview of the design of the study. FE, finite element; ADL, activities of daily living. - Joint position most critical to stability - In vivo joint loading (shear and compression forces) FE models of the shoulder - Simulation of 2 mm to 8 mm osseous defects - Modelling of Bankart repair - Comparison of shoulder dislocation force with in vivo shear force - Classification of each ADL for each defect size as stable or unstable Risk of shoulder dislocation Analysis of 26 functional daily activities17 70 C. KLEmT, D. TODERITA, D. NOLTE, E. DI FEDERICO, P. REILLY, A. m. J. BULL Follow us @BoneJointJ THE BONE & JOINT JOURNALthe articular cartilage, and the glenoid labrum were modelled as solid tetrahedral elements. The labrum was divided into eight sections,16 each of which was assigned a coordinate frame to define the orientation of the fibres.17 Baseline properties for each structure of the shoulder were assigned based on previously reported values (Table I).16-19 Due to relatively small deformations compared with other soft tissues, the articulating bones were modelled as rigid materi- als. The surfaces of the articular cartilage were assigned linear elastic isotropic properties, while the labrum was modelled as a transversely isotropic hyperelastic material due to the difference in modulus between the transverse plane and the circumferen- tial direction.16 The coefficients for the hyperelastic model were obtained by applying the neo-Hookean constitutive equation to derive material properties for each labral section.20 The interfaces between the articulating cartilage surfaces and between the humeral cartilage and the labrum were mod- elled using frictionless, surface-to-surface contact due to the low coefficient of friction in synovial joints.17 The interfaces between the articulating bones and the corresponding carti- lage surfaces were modelled using tied contact. In a previous study, the FE models of the shoulder were validated against in vitro measurements of its stability for many loading condi- tions and positions of the joint, as reported in two cadaveric studies.12,13 Osseous defects involving 4%, 8%, 12%, 16%, 20%, and 24% of the length of the glenoid were created separately at its anterior rim. These models of a chronic defect were created in agreement with cadaveric testing as previously reported (Fig. 1).3-5 Anterior osteotomy lines were drawn parallel to a Fig. 3 Dislocation forces of the shoulder for the intact glenoid and after the creation of anterior osseous defects correspond- ing to 8%, 16%, and 24% of the length of the glenoid. The forces represent those from cadaveric experiments4 and the results of simulation from this study. The bars represent one standard deviation from the in vitro cadaver values. 0 2 4 6 8 10 12 14 16 18 20 A n te ri o r d is lo ca ti o n f o rc e (N ) Intact glenoid 8% of glenoid width 16% of glenoid width 24% of glenoid width Yamamoto et al4 (2009) Male Visible Human Female Visible Human Table II. Classification of each size of defect for each activity of daily liv- ing (ADL) as unstable (U) or stable (S). The sizes correspond to 4%, 8%, 12%, 16%, 20%, and 24% of the length of the glenoid, respectively Anterior glenoid osseous defect Intact 4% 8% 12% 16% 20% 24% Quarterback throw S S S S U U U Lineout throw S S S S U U U Extreme (reach across body) S S S S U U U Clean upper back S S S S U U U Volleyball serve S S S S S U U Slow abduction S S S S S U U Fast abduction S S S S S U U Reach back of head S S S S S U U Basketball free throw S S S S S S U Sit to stand S S S S S S U Pull S S S S S S U Push S S S S S S U Lift block to head height S S S S S S U Lift block to shoulder height S S S S S S U Reach opposite axilla S S S S S S U Lift shopping bag from floor S S S S S S S Lift shopping bag on lap S S S S S S S Perineal care S S S S S S S Reach far ahead S S S S S S S Brush left side of head S S S S S S S Drive slow left S S S S S S S Drive slow right S S S S S S S Drive fast left S S S S S S S Drive fast right S S S S S S S Slow flexion S S S S S S S Fast flexion S S S S S S S Eat with hand S S S S S S S Drink from mug S S S S S S S THE CRITICAL SIZE OF A DEFECT IN THE GLENOID CAUSING ANTERIOR INSTABILITY OF THE SHOULDER 71 VOL. 101-B, No. 1, JANUARY 2019 line passing through superior and inferior contact points of the circle that fits the superoinferior diameter of the glenoid, with the 0% line being tangential to the anterior rim of the glenoid.4,5 The defects were introduced into the models by removing FEs of the glenoid fossa and articular cartilage that correspond to each osteotomy line. A Bankart repair was simulated for each size of defect by reattaching the labrum to the osteotomy line in order to re- establish the concavity of the glenoid. This was modelled by displacing the medial surface nodes of the labrum towards the osteotomy line until it was fully aligned and lifted to the level of the osteotomy line. The medial nodes of the labrum were fixed in that position during further simulations assessing the stability of the joint in order to simulate labral healing to the osteotomy line, as can be observed in vivo following successful rehabilitation of the shoulder. The other parts of the intact FE models were not changed. Hill–Sachs lesions were not mod- elled in this study. The FE models with the osseous defects in the glenoid were validated against in vitro measurements of anterior stability of the shoulder.4,5 The cadaveric measurements represent the only data available in the literature that assess the loss of anterior stability with anterior osseous defects in the glenoid of different magnitudes.4,5 For the validation study, the humerus was placed in the position of dislocation with 45° of abduction and 35° of external rotation in order to replicate the cadaveric experi- ments.4,5 In the starting position, the humeral head was in contact with and centred on the glenoid in 0° of version and inclination. With the surface of the glenoid being fixed in all degrees of free- dom during the simulation, the boundary conditions involved the application of a 50 N compressive force through the centre of the humeral head, perpendicular to the plane of the articu- lating surface of the glenoid in order to simulate the loading used in the cadaveric studies. Under permanent compression, the humeral head was subsequently translated towards the ante- rior rim of the glenoid until dislocation occurred. The maximum force required to dislocate the shoulder was defined as the dislo- cation force. These forces were determined for the intact glenoid and after introducing defects of 8%, 16%, and 24% of the length of the glenoid to validate the results of modelling against in vitro measurements, as reported in the literature.5 The critical size of a defect was investigated during 30 functional activities by determining the dislocation forces of the intact glenoid and after creating defects involving 4%, 8%, 12%, 16%, 20%, and 24% of the length of the glenoid, respectively. For each activity, the forces were determined in Table III. Anterior dislocation forces of the intact glenoid and after creating defects of 4%, 8%, 12%, 16%, 20%, and 24% of the length of the glenoid, and the in vivo anterior shear force for each functional task. The forces were tested in the position of the joint which was the most susceptible to instability Anterior dislocation forces, N In vivo shear force, N Intact 4% 8% 12% 16% 20% 24% Quarterback throw 632 595 557 522 489 397 294 516 Lineout throw 453 415 393 366 342 274 220 359 Extreme (reach across body) 103 95 89 84 78 64 49 81 Clean upper back 98 90 85 81 74 60 46 79 Volleyball serve 324 294 266 241 210 153 112 201 Slow abduction 180 162 148 132 119 87 61 112 Fast abduction 174 161 144 128 114 85 54 108 Reach back of head 110 106 102 96 90 74 57 84 Basketball free throw 278 254 236 215 196 142 116 132 Sit to stand 437 401 369 313 281 193 120 171 Pull 86 82 78 73 68 53 41 48 Push 85 80 76 72 67 54 41 46 Lift block to head height 204 190 176 159 147 106 89 98 Lift block to shoulder height 197 184 171 155 141 98 83 93 Reach opposite axilla 82 77 72 67 63 51 44 47 Lift shopping bag from floor 180 171 160 149 137 99 83 80 Lift shopping bag on lap 212 197 183 171 158 127 86 83 Perineal care 108 103 98 91 85 71 58 51 Reach far ahead 190 175 163 151 139 112 74 66 Brush left side of head 109 105 101 96 90 74 57 52 Drive slow left 109 105 100 94 88 71 56 51 Drive slow right 111 108 103 96 91 75 60 49 Drive fast left 102 97 9185 79 65 49 43 Drive fast right 99 95 89 84 79 65 49 43 Slow flexion 202 190 178 163 149 118 77 68 Fast flexion 189 180 167 151 138 107 72 66 Eat with hand 85 80 76 71 65 52 44 39 Drink from mug 83 79 75 70 63 51 42 37 72 C. KLEmT, D. TODERITA, D. NOLTE, E. DI FEDERICO, P. REILLY, A. m. J. BULL Follow us @BoneJointJ THE BONE & JOINT JOURNAL the position of the joint that was most susceptible to instability as quantified in a previous study,21 where the ratio of shear-to- joint compression force was maximal. The dislocation forces for each activity were also determined under in vivo loading conditions that were quantified previously, when in vivo con- tact forces were analyzed during 26 tasks.21 For the purpose of this study, four throwing activities were added using the same experimental approach as described by Klemt et al.21 In order to quantify the critical size of a defect that leads to persistent instability despite a Bankart repair, the disloca- tion forces for each ADL as obtained by the FE models were compared with in vivo shear forces during these activities, as previously quantified by the UK National Shoulder Model (UK NSM) (Fig. 2).21 Based on the comparison of in vivo shear force with dislocation forces for each task, each ADL was classified for each size of defect as stable, when the dislocation force of the glenoid is larger than the in vivo shear force of the ADL, or unstable, when the dislocation force is smaller than the shear force of the ADL. Finally, the critical size of a defect was quantified as the size of the smallest defect that leads to anterior dislocation in all ADLs. Results In agreement with cadaveric experiments, the dislocation forces determined by the male and female FE models showed reduced stability of the shoulder with increasing size of defect in the glenoid.4 The dislocation forces quantified by the models com- pare well with those experimentally measured with predictions being within one standard deviation of the experimental values (Fig. 3). The classification of ADLs with respect to stability for each size of defect is shown in Table II, with the corresponding dis- location forces and joint positions that yielded this classification being shown in Tables III and IV. As can be seen in Table II, the critical size of a defect that leads to persistent instability under physiological loading despite a Bankart repair was predicted by the models to be 16% of the length of the glenoid. There were four loading conditions with high anterior shear forces: a quarterback throw, a lineout throw, reaching across the body, and cleaning the upper back. These show a high like- lihood of instability, with a defect of 16% of the length of the glenoid (Table II). This is due to in vivo shear forces for these tasks that exceed the anterior dislocation forces of the glenoid with a defect corresponding to 16% of its length (Table III). There are four functional daily activities with large ranges of abduction and external rotation: slow abduction, fast abduction, reaching the back of the head, and a volleyball serve. These show a great risk of instability with a defect of 20% of the length of the glenoid (Tables II and III). Most ADLs such as eating, drinking, reaching opposite axilla, flexion, driving, and a basketball throw only affect the stability for defects of more than 24% of the length of the glenoid (Table II). These activities involve less abduction and external rotation and loading with anterior in vivo shear forces for these tasks not exceeding the dislocation forces for defects of more than 24% of the length of the glenoid (Tables II, III, and IV). Discussion In this study, two FE models of the shoulder with anterior gle- noid osseous defects of different magnitudes were validated against in vitro measurements of anterior stability of the shoul- der.4 The dislocation forces predicted by the models were within one standard deviation of experimentally measured values. The validated FE models quantified the critical size of a defect that leads to persistent instability under physiological loading despite a Bankart repair, to be 16% of the length of the glenoid. These findings suggest that if there is a defect of this size, bone grafting should be considered rather than solely a soft-tissue procedure, to optimize stability. Previous authors have shown that slightly larger defects of between 19% and 21% of the length of the glenoid were required to produce significant loss of stability.3-5 These results have been used as an indication for bone grafting to restore sta- bility,10 despite the in vitro experiments being conducted under low non-physiological loading. As the stability of the shoul- der is load dependent, with higher forces leading to a loss of stability,12,13 the results of the FE models strongly suggest that Table IV. The positions of the shoulder that served to determine the dislocation forces. These positions were shown to be most susceptible to instability due to the largest ratio of shear-to-joint compression force. The angles represent forward flexion (positive sign indicates forward flexion), abduction (positive sign indicates abduction), and rotation (positive sign indicates internal rotation) Functional activity Shoulder position, ° Flexion Abduction Rotation Quarterback throw 94 71 -39 Lineout throw 75 -61 -53 Extreme (reach across body) 111 60 -48 Clean upper back -45 49 -41 Volleyball serve 107 54 -37 Slow abduction 120 83 -74 Fast abduction 102 70 -71 Reach back of head 67 -44 -56 Basketball free throw 86 59 -47 Sit to stand -12 -14 -4 Pull 12 8 -9 Push 21 3 -12 Lift block to head height 70 27 -32 Lift block to shoulder height 52 22 -24 Reach opposite axilla 60 23 23 Lift shopping bag from floor -7 -12 -14 Lift shopping bag on lap 29 -9 -22 Perineal care -19 -5 8 Reach far ahead 76 24 -27 Brush left side of head 60 16 19 Drive slow left 39 -2 -19 Drive slow right 27 2 -14 Drive fast left 33 -3 -17 Drive fast right 20 -4 -10 Slow flexion 114 42 -37 Fast flexion 98 39 -35 Eat with hand 34 -7 -18 Drink from mug 24 -18 -22 THE CRITICAL SIZE OF A DEFECT IN THE GLENOID CAUSING ANTERIOR INSTABILITY OF THE SHOULDER 73 VOL. 101-B, No. 1, JANUARY 2019 slightly smaller defects of 16% of the length of the glenoid lead to persistent instability under physiological loading despite a Bankart repair. Similar findings have recently been reported.22,23 These in vitro studies showed significant changes in function of the shoulder following the creation of defects correspond- ing to between 13.5% and 15% of the length of the glenoid. When considering the clinical relevance of this study, it should be noted that recurrent instability commonly presents in rela- tion to sport rather than during ADLs.24,25 While we included sports involving throwing to identify the critical size of a defect that leads to persistent instability under physiological loading despite a Bankart repair, we acknowledge that the further inclu- sion of contact and impact sports might suggest a smaller crit- ical size of defect due to the increased loads on the shoulder during these activities. However, such data are not available due to the difficulty in measuring the load on the shoulder dur- ing these activities. Previous studies have not provided details of anterior shear forces in the shoulder during tackles in con- tact sports.26 When considering the clinical significance of this study, it should be noted that the rate of recurrent dislocation is lower after bone grafting compared with a Bankart repair6,7, and performing bone grafting on patients with smaller osse- ous defects will reduce the rate of further recurrent instability. However, bone grafting involves increased invasiveness, com- plication rates, and longer rehabilitation.8,27 As we found a high likelihood of instability for the glenoid with a defect of 16% of its length during activitieswith large anterior shear forces at increased abduction and external rotation, slightly smaller defects may be considered suitable for grafting in patients with high functional demands. The amount of glenoid bone that is lost can be determined from CT scans with an accuracy of less than 3% of its length,28 thus our findings may help deci- sion making by suggesting that slightly smaller defects of 16% of the length of the glenoid should be reconstructed to ensure restoring stability. As we did not investigate Hill–Sachs lesions, the findings only represent anterior defects in the absence of these lesions. A novel aspect of this study is the use of loading the shoul- der with in vivo compressive and shear contact forces that have been quantified by musculoskeletal modelling for a wide range of ADLs.21,29 The comparison of these forces with the forces that are predicted to induce dislocation allows a mechanical assessment of stability through the classification of each ADL as either stable with a force of the glenoid being larger than the in vivo shear force of the ADL, or unstable with a force of the glenoid being smaller than the force of the ADL, for each size of defect. This mechanical assessment of stability to quantify the critical size of the defect that leads to further instability despite a Bankart repair represents the first approach of its kind, with previous in vitro studies3-5 using statistically significant changes in stability as predictors of the critical size of the defect. The study has limitations. The anatomy of the defects in the glenoid was idealized as being parallel to the longitudinal axis, in order to replicate in vitro experiments. This does not represent all in vivo defects. It has, however, been shown that the margin of a defect is usually linear and most defects are located at the anterior rim of the glenoid.30 Also, the defects were created in increments of 4% of the length of the glenoid, thus representing a different proportion of loss for scapulae of different sizes.31 This was partially taken into account by using one large and one small scapula. The dislocation forces for each ADL were also determined in the position most susceptible to instability, without considering movement of the humeral head in different positions of the arm. As the humeral head remains mainly centred on the glenoid fossa with translations of only a few millimetres during ADLs, the effect of this simplification is assumed to be small. The stability provided by the bony articulating structures is only one stabilizing mechanism in the shoulder. Other compo- nents, such as capsuloligamentous structures, need to be consid- ered in future studies. These results therefore only represent the mid-range of movement of the shoulder, where the capsuloliga- mentous structures are lax. Despite these limitations, this is the first study to determine the critical size of an anterior defect of the glenoid that leads to further instability of the shoulder under physiological loading conditions despite a Bankart repair. These findings suggest reasons why instability persists in some patients who have had soft-tissue stabilization only. We propose that bone grafting should be used for defects of the glenoid of 16% of its length. 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A model for the prediction of the forces at the gleno- humeral joint. Proc Inst Mech Eng H 2006;220:801–812. 30. Griffith JF, Antonio GE, Yung PSH, et al. Prevalence, pattern, and spectrum of glenoid bone loss in anterior shoulder dislocation: CT analysis of 218 patients. AJR Am J Roentgenol 2008;190:1247–1254. 31. Ohl X, Billuart F, Lagacé PY, et al. 3D morphometric analysis of 43 scapulae. Surg Radiol Anat 2012;34:447–453. Author contributions: C. Klemt: Designed the study, Collected, analyzed, and interpreted the data, Wrote the manuscript. D. Toderita: Collected and analyzed the data. D. Nolte: Analyzed the data. E. Di Federico: Critically reviewed the manuscript. P. Reilly: Designed the study, Interpreted the results, Critically reviewed the manuscript. A. M. J. Bull: Designed the study, Interpreted the results, Critically reviewed the manuscript. Funding statement: This work was supported by [Engineering and Physical Research Council, JRI Orthopaedics] grant number [EP/M507878/1]. No benefits in any form have been received or will be received from a com- mercial party related directly or indirectly to the subject of this article. Disclosure statement: Supporting data are available on request by contacting the corresponding author. This article was primary edited by J. Scott.