Kinematic adjustability of unilateral external fixators for fracture reduction and alignment of axial dynamization

Bone fracture reduction and bone axial dynamization are important operations which effectiveness can be further enhanced by the use of a unilateral external fixator. By design, axial dynamization can be performed through reciprocating one of its translational joints. However, non-axial dynamization may occur after correcting residual fracture deformity. To explore and to maximize its full potential, the joint adjustment constraint equations for fracture reduction and alignment of axial dynamization under unilateral external fixation are derived. Their physical implications and criteria on the kinematic structure of a fixator are then established. In order to correctly make the alignment of axial dynamization with the proper fracture reduction, this study shows that the linkage of a bone–fixator system should have a minimum of eight degrees-of-freedom (DOFs) with at least two nonparallel rotational DOFs adjacent to both ends of the designated single translational DOF for axial dynamization. Thus, the adjustment of the connection between bone pin/pin clamp of Othofix^® fixator is required, while the alignment of one of the translational joints of Dynafix^® fixator with its bone segment axis during fracture stabilization procedure is a crucial step. A conceptual fixator that requires neither an adjustment of the pin/pin clamp connection nor special pre-alignment is demonstrated. Based on the constraint equations and criteria developed throughout this study, the creation of an effective frame design of external fixation device becomes feasible.     

Development and validation of a new approach for computer-aided long bone fracture reduction using unilateral external fixator

An innovative computer-aided method to plan and execute long bone fracture reduction using Dynafix unilateral external fixator (EF) is presented and validated. A matrix equation, which represents a sequential transformation from proximal to distal ends, was derived and solved for the amount of rotation and translation required at each EF joint to correct for a displaced fracture using a non-linear least square optimization method. Six polyurethane-foam models of displaced fracture tibiae were used to validate the method. The reduction accuracy was quantified by calculating the residual translations (xr, yr, zr), the residual displacement (dr), and the residual angulations (alphar, betar, gammar) based on the X-Y-Z Euler angle convention. The experiment showed that the mean+/-S.D. of alphar, betar, gammar, xr, yr, zr and dr were 1.57+/-1.14 degrees, 1.33+/-0.90 degrees, 0.71+/-0.70 degrees, 0.98+/-1.85, 0.80+/-0.67, 0.30+/-0.27, and 0.50+/-0.77 mm, respectively, which demonstrated the accuracy and reliability of the method. Instead of adjusting the fixator joints in-situ, our method allows for off-site adjustment of the fixator joints and employs the adjusted EF as a template to guide the surgeons to manipulate the fracture fragments to complete the reduction process. Success of this method would allow surgeons to perform fracture reduction more objectively, efficiently and accurately yet reduce the radiation exposure to both the involved clinicians and patients and lessen the extent of periosteum and soft tissue disruption around the fracture site.     

Analysis of surface-to-surface distance mapping during three-dimensional motion at the ankle and subtalar joints

Joint surface interaction and ligament constraints determine the kinematic characteristics of the ankle and subtalar joints. Joint surface interaction is characterized by joint contact mechanics and by relative joint surface position potentially characterized by distance mapping. While ankle contact mechanics was investigated, limited information is available on joint distance mapping and its changes during motion. The purpose of this study was to use image-based distance mapping to quantify this interaction at the ankle and subtalar joints during tri-planar rotations of the ankle complex. Five cadaveric legs were scanned using Computed Tomography and the images were processed to produce 3D bone models of the tibia, fibula, talus and calcaneus. Each leg was tested on a special linkage through which the ankle complex was loaded in dorsiflexion/plantarflexion, inversion/eversion, and internal/external rotation and the resulting bone movements were recorded. Fiduciary bone markers data and 3D bone models were combined to generate color-coded distance maps for the ankle and subtalar joints. The results were processed focusing on the changes in surface-to-surface distance maps between the extremes of the range of motion and neutral. The results provided detailed insight into the three-dimensional highly coupled nature of these joints showing significant and unique changes in distance mapping from neutral to extremes of the range of motion. The non-invasive nature of the image-based distance mapping technique could result, after proper modifications, in an effective diagnostic and clinical evaluation technique for application such as ligament injuries and quantifying the effect of arthrodesis or total ankle replacement surgery.     

新型可透X线骨外固定器的研制

目的治疗近关节骨折、复杂骨折、骨缺损及骨不连等的一种新型可透x线骨外固定器。方法由固定部件、连接杆、万向头、连接杆锁紧螺帽、骨折固定螺钉、固定螺钉锁紧螺帽构成,通过x线能够全方位地观察骨折情况,调整骨外固定器使骨折对位对线。结果可避免因传统金属骨外固定器对术后骨折愈合情况观察,固定安全可靠,特别适用于战时、紧急情况下对骨折的固定,固定不超关节,故可以术后即刻关节功能锻炼。结论固定器设计合理,构思新颖,值得推广应用。     

Kinematic models of lower limb joints for musculo-skeletal modelling and optimization in gait analysis

Kinematic models of lower limb joints have several potential applications in musculoskeletal modelling of the locomotion apparatus, including the reproduction of the natural joint motion. These models have recently revealed their value also for in vivo motion analysis experiments, where the soft-tissue artefact is a critical known problem. This arises at the interface between the skin markers and the underlying bone, and can be reduced by defining multibody kinematic models of the lower limb and by running optimization processes aimed at obtaining estimates of position and orientation of relevant bones. With respect to standard methods based on the separate optimization of each single body segment, this technique makes it also possible to respect joint kinematic constraints. Whereas the hip joint is traditionally assumed as a 3 degrees of freedom ball and socket articulation, many previous studies have proposed a number of different kinematic models for the knee and ankle joints. Some of these are rigid, while others have compliant elements. Some models have clear anatomical correspondences and include real joint constraints; other models are more kinematically oriented, these being mainly aimed at reproducing joint kinematics. This paper provides a critical review of the kinematic models reported in literature for the major lower limb joints and used for the reduction of soft-tissue artefact. Advantages and disadvantages of these models are discussed, considering their anatomical significance, accuracy of predictions, computational costs, feasibility of personalization, and other features. Their use in the optimization process is also addressed, both in normal and pathological subjects.     

Biomechanical influences of pin placement and elbow angle on hinge alignment and joint distraction of bridged elbow-pin-fixator construct

Joint distraction and mobilization with a hinged external fixator preserves elbow stability and mobility. However, the alignment of both elbow and fixator hinges was the initial prerequisite of the arthrodiatasis technique. The main goal of this study was to numerically evaluate the kinematic influence of the device, surgery, and joint factors on hinge alignment. The kinetic effects of the pins placement and elbow angle on concentric distraction and mobilization were also discussed. A unilaterally hinged elbow-fixator system with a 14 links and 10 degrees-of-freedom was instrumented into a humeroulnar model. The Denavit–Hartenberg method with the homogeneous transformation matrixes was applied to perform kinematic analysis of the linkage system. The predicted results revealed that the concurrence of hinge alignment (i.e., kinematic) and concentric distraction (i.e., kinetic) necessitates two telescopic tubes orthogonal to the elbow hinge. The degrees-of-freedom arrangement of the fixator articulators plays a significant role in hinge alignment. After joint distraction, two hinges might be misaligned due to the difference in the structural rigidity of the pins, fixator, and stiffened elbow. Furthermore, those two prerequisite are interactive and sensitive to elbow angle, fixator design, and pin placement of the bridged elbow-pin-fixator construct. In addition, the ideally concentric distraction might occur only at an elbow angle of 120° owing to the ulnar anatomy. Meticulous planning is necessary for such highly technically demanding surgery.     

Radical correction of secondary nasal deformity in unilateral cleft lip patients presenting late

It is universally acknowledged that correction of a cleft lip nasal deformity continues to be a difficult problem. In developing countries, it is common for patients with cleft lip deformities to present in their early or late teens for correction of severe secondary lip and nasal deformities retained after the initial repairs were carried out in infancy or early childhood. Such patients have never had the benefit of primary nasal correction, orthodontic management, or alveolar bone grafting at an appropriate age. Along with a severe nasal deformity, they present with alveolar arch malalignments and anterior fistulae. In the study presented here, a strategy involving a complete single-stage correction of the nasal and secondary lip deformity was used.In this study, 26 patients (nine male and 17 female) ranging in age from 13 to 24 years presented for the first time between June of 1996 and December of 1999 with unilateral cleft lip nasal deformity. Eight patients had an anterior fistula (diameter, 2 to 4 mm) and 12 patients had a secondary lip deformity. An external rhinoplasty approach was used for all patients. The corrective procedures carried out in a single stage in these patients included lip revision; columellar lengthening; repair of anterior fistula; augmentation along the pyriform margin, nasal floor, and alveolus by bone grafts; submucous resection of the nasal septum; repositioning of lower lateral cartilages; fixation of the alar cartilage complex to the septum and the upper lateral cartilages; augmentation of nasal dorsum by bone graft; and alar base wedge resections. Medial and lateral nasal osteotomies were performed only if absolutely indicated. The median follow-up period was 11 months, although it ranged from 5 to 25 months. Overall results have been extremely pleasing, satisfactory, and stable.In this age group (13 years of age or older), it is not fruitful to use a technique for nasal correction that corrects only one facet of the deformity, because no result of nasal correction can be satisfactory until septal deviations and maxillary deficiencies are addressed along with any alar repositioning. The results of complete remodeling of the nasal pyramid are also stable in these patients because the patients' growth was nearly complete, and all the deformities could be corrected at the same time, leaving no active deforming vector. These results would indicate that aesthetically good results are achievable even if no primary nasal correction or orthodontic management had been previously attempted.     

Metacarpal synostosis: a simple classification and a new treatment technique

The current classification of metacarpal synostosis is based on the extent of the synostosis. The authors propose a new classification that takes into account the shape of the metacarpal bones, the curvature of the epiphysis, and the discrepancy in length between the two bones. This classification provides better guidelines for the correction of all components of the deformity. The classification is based on the authors' observations of and experience with 36 cases of metacarpal synostosis; 13 of the deformities were surgically corrected. The I-shaped deformity, whether with distinct (type d) or fused (type f) metacarpophalangeal joints, does not require surgical correction. The U-shaped deformity has parallel epiphysis and does not require surgery unless the two metacarpals are asymmetrical in length (type a) or tightly fused (type t); in these cases, simple lengthening or widening of the space with a bone graft is sufficient. Y-shaped synostosis should be separated whether the branches are symmetrical or asymmetrical, the latter having one branch shorter than the other. Because the epiphyses are already divergent, simple separation does not effectively correct Y-shaped synostosis. The authors propose an osteotomy to isolate a trapezoidal segment of bone from the bifurcation. The isolated bone segment is then reversed in the proximal-distal direction to provide a "plateau" upon which the two distal metacarpals can be realigned. Two cases of Ys (symmetrical) synostosis were successfully treated with this technique; one case of Ya (asymmetrical) synostosis also required distraction lengthening of the shorter metacarpal to achieve an excellent result. One of the most difficult types of metacarpal synostosis to treat is k-shaped synostosis, observed only between the fourth and fifth metacarpals; in this type, the head of the short fifth metacarpal abuts the metaphysis of the fourth. Osteotomy and distraction lengthening provide predictable results for correction of this deformity. The authors suggest that k-shaped synostosis might represent a late evolution of untreated Ua synostosis.     

Measurement of fracture movement in patients treated with unilateral external skeletal fixation

Axial movement occurring at the fracture site has been determined in a group of healing tibial fractures treated by external skeletal fixation. Fracture movement was determined via a strain gauge transducer which was attached to the column of the external fixator and measured the deflection of the bone screw adjacent to the fracture site and the active loading or weight bearing given by the patient to the fractured limb was monitored using a force platform. The results for 27 subjects show that, with a rigid unilateral fixator, the axial movement occurring at the fracture site was initially small (mean = 0.28 mm at 5 weeks post fracture). This movement increases to reach a mean maximum value of 0.43 mm at 11 weeks post-fracture and then decreases, despite increased weight bearing, as fracture healing progresses. In the early stages of healing, the movement can be increased slightly if the fixator is fitted with a module which permits additional fracture site movement, although the resultant increase in movement is only a small proportion of the potential available with this module.     

Optimizing the correction of severe postburn hand deformities by using aggressive contracture releases and fasciocutaneous free-tissue transfers

Severe postburn hand deformities were classified into three major patterns: hyperextension deformity of the metacarpophalangeal joint of the fingers with dorsal contracture of the hand, adduction contracture of the thumb with hyperextension deformity of the interphalangeal joint, and flexion contracture of the palm. Over the past 6 years, 18 cases of severe postburn hand deformities were corrected with extensor tenotomy, joint capsulotomy, and release of volar plate and collateral ligament. The soft-tissue defects were reconstructed with various fasciocutaneous free flaps, including the arterialized venous flap (n = 4), dorsalis pedis flap (n = 3), posterior interosseous flap (n = 3), first web space free flap (n = 3), and radial forearm flap (n = 1). Early active physical therapy was applied. All flaps survived. Functional return of pinch and grip strength was possible in 16 cases. In 11 cases of reconstruction of the dorsum of the hand, the total active range of motion in all joints of the fingers averaged 140 degrees. The mean grip strength was 16.5 kg and key pinch was 3.5 kg. In palm reconstruction, the wider contact area facilitated the grasping of larger objects. In thumb reconstruction, key-pinch increased to 5.5 kg and the angle of the first web space increased to 45 degrees. Jebsen's hand function test was not possible before surgery; postoperatively, it showed more functional recovery in gross motion and in the dominant hand. Aggressive contracture release of the bone,joints, tendons, and soft tissue is required for optimal results in the correction of severe postburn hand deformities. Various fasciocutaneous free flaps used to reconstruct the defect provide early motion, appropriate thinness, and excellent cosmesis of the hand.     

Mandibular retrusion, temporomandibular joint derangement, and orthognathic surgery planning.

One-hundred consecutive orthognathic surgery candidates with mandibular retrusion were selected for retrospective analysis. Patients had undergone imaging studies that included magnetic resonance imaging (MRI) of both temporomandibular joints to assess the presence or absence, stage, and activity of suspected internal derangement(s). Patients were divided into stable and unstable deformity groups based on the presence or absence of change in their facial contour and/or occlusal disturbances in the 24 months prior to evaluation. Each of the 58 unstable and 30 of 42 stable patients were found to have internal derangements of at least one temporomandibular joint. The degree of joint degeneration directly paralleled the severity of retrognathia in most cases. We concluded that temporomandibular joint internal derangement is common in cases of mandibular retrusion and leads to the facial morphology in a high percentage of patients. Preoperative temporomandibular joint imaging with MRI is recommended prior to orthognathic surgical correction of retrognathic deformities.     

Primary definitive nasal correction in patients presenting for late unilateral cleft lip repair

Almost 25 percent of unilateral cleft lip and palate patients present with their deformity in their teens or later years in the developing world. Because more than 80 percent of the world population lives in the developing world, the established protocol for repair of these deformities is not applicable to these patients. Despite the magnitude, there are no significant reports in the literature that deal with this problem. Several issues need to be addressed, but the author limits himself here to the correction of the nasal deformity. The patients at this age are very much concerned with the aesthetic outcome. Procedures described hitherto for primary nasal correction in infants are not successful in restoring nasal shape and symmetry at this late age of presentation. Our experience with radical correction of secondary nasal deformity in unilateral cleft lip patients presenting late prompted us to extend the concept by undertaking a definitive primary correction of the nasal deformity in cleft patients presenting late. Twenty-two patients with unilateral cleft lip deformity (nine male patients and 13 female patients) with ages ranging from 13 to 22 years, presenting between August of 1997 and December of 2000, are included in this study. Of these, 11 patients had a cleft of the lip alone, eight also had a cleft of the alveolus, and three had a cleft of the palate continuous with the cleft lip. All patients showed some maxillary hypoplasia. An external rhinoplasty with lip repair was carried out in all patients. The corrective procedures on the nose included columellar lengthening; augmentation along the pyriform margin, nasal floor, and alveolus using bone grafts; submucous resection of the nasal septum; repositioning of lower lateral cartilages; and augmentation of nasal dorsum by bone graft. Clinical follow-up ranged from 4 to 24 months, and the median follow-up period was 13 months. Results have been very good, and much better than results seen earlier with other primary rhinoplasty techniques. While repairing unilateral cleft lip in adolescents, the author thinks it would be most appropriate to address the entire gamut of the deformity in a single stage, provide complete vector reorientation, and augment the hypoplastic elements by autologous tissue. It is not just the fear of poor follow-up, but that merely correcting the lip deformity in these patients without attempting definitive rhinoplasty, in the author's opinion, would be insufficient surgical intervention.     

Caudal nasal deviation

Caudal nasal deviation, manifested by a "crooked tip," asymmetric nostrils, and a deviated columella, is one of the most challenging deformities encountered in rhinoplasty. This entity is often ignored by rhinoplasty surgeons, on the basis of the assumption that correction of other segments of the deviated nose will improve the caudal nose. Failure to correct this imperfection (or, occasionally, deformity) invariably produces suboptimal results. The nasal structures involved in caudal nasal deviation, namely, the septum, the lower lateral cartilages, and the anterior nasal spine, must be evaluated for identification of the anatomical blocks that have a causative role in caudal nasal deviation. The specific structures with abnormalities related to this deformity are discussed, as are techniques for the correction of the deformities. These techniques significantly augment the surgeon's repertoire of methods for addressing the subtleties of caudal nasal deviation correction and achieving predictable results.     

A 3D computational simulation of fracture callus formation: influence of the stiffness of the external fixator

The stiffness of the external fixation highly influences the fracture healing pattern. In this work we study this aspect by means of a finite element model of a simple transverse mid-diaphyseal fracture of an ovine metatarsus fixed with a bilateral external fixator. In order to simulate the regenerative process, a previously developed mechanobiological model of bone fracture healing was implemented in three dimensions. This model is able to simulate tissue differentiation, bone regeneration, and callus growth. A physiological load of 500 N was applied and three different stiffnesses of the external fixator were simulated (2300, 1725, and 1150 N/mm). The interfragmentary strain and load sharing mechanism between bone and the external fixator were compared to those recorded in previous experimental works. The effects of the stiffness on the callus shape and tissue distributions in the fracture site were also analyzed. We predicted that a lower stiffness of the fixator delays fracture healing and causes a larger callus, in correspondence to well-documented clinical observations.     

In situ comparison of A-mode ultrasound tracking system and skin-mounted markers for measuring kinematics of the lower extremity

Skin-mounted marker based motion capture systems are widely used in measuring the movement of human joints. Kinematic measurements associated with skin-mounted markers are subject to soft tissue artifacts (STA), since the markers follow skin movement, thus generating errors when used to represent motions of underlying bone segments. We present a novel ultrasound tracking system that is capable of directly measuring tibial and femoral bone surfaces during dynamic motions, and subsequently measuring six-degree-of-freedom (6-DOF) tibiofemoral kinematics. The aim of this study is to quantitatively compare the accuracy of tibiofemoral kinematics estimated by the ultrasound tracking system and by a conventional skin-mounted marker based motion capture system in a cadaveric experimental scenario. Two typical tibiofemoral joint models (spherical and hinge models) were used to derive relevant kinematic outcomes. Intra-cortical bone pins equipped with optical markers were inserted in the tibial and femoral bones to serve as a reference to provide ground truth kinematics. The ultrasound tracking system resulted in lower kinematic errors than the skin-mounted markers (the ultrasound tracking system: maximum root-mean-square (RMS) error 3.44° for rotations and 4.88 mm for translations, skin-mounted markers with the spherical joint model: 6.32° and 6.26 mm, the hinge model: 6.38° and 6.52 mm). Our proposed ultrasound tracking system has the potential of measuring direct bone kinematics, thereby mitigating the influence and propagation of STA. Consequently, this technique could be considered as an alternative method for measuring 6-DOF tibiofemoral kinematics, which may be adopted in gait analysis and clinical practice.     

Do kinematic models reduce the effects of soft tissue artefacts in skin marker-based motion analysis? An in vivo study of knee kinematics

We investigated the effects of including kinematic constraints in the analysis of knee kinematics from skin markers and compared the result to simultaneously recorded trajectories of bone pin markers during gait of six healthy subjects. The constraint equations that were considered for the knee were spherical and revolute joints, which have been frequently used in musculoskeletal modelling. In the models, the joint centres and joint axes of rotations were optimised from the skin marker trajectories over the trial. It was found that the introduction of kinematic constraints did not reduce the error associated with soft tissue artefacts. The inclusion of a revolute joint constraint showed a statistically significant increase in the mean flexion/extension joint angle error and no statistically significant change for the two other mean joint angle errors. The inclusion of a spherical joint showed a statistically significant increase in the mean flexion/extension and abduction/adduction errors. In addition, when a spherical joint was included, a statistically significant increase in the sum of squared differences between measured marker trajectories and the trajectories of the pin markers in the models was seen. From this, it was concluded that both more advanced knee models as well as models of soft tissue artefacts should be developed before accurate knee kinematics can be calculated from skin markers.     

Validation of the ‘FeMorph’ software in planning cam osteochondroplasty by incorporating labral morphology

Impingement resulting from a cam deformity may cause pain, limit the hip joint range of motion (RoM) and lead to osteoarthritis. We have previously developed FeMorph software to quantify and plan corrective surgery and predict hip RoM post surgery. This study aimed to validate the software and evaluate the influence of the acetabular labrum on hip RoM. Computed tomography data from 92 femur-pelvis pairs were analysed in conjunction with the inter/intra-observer reliability. Four cadaveric hips were dissected, and the three-dimensional (3D) shape and size of the acetabular labrum for these hips was obtained using laser scan. The influence of the acetabular labrum in the RoM and subsequent planning for corrective surgery were then evaluated in cadavers for models with and without a labrum, and used as a first step towards validation of FeMorph RoM prediction. FeMorph was successfully used to model cam deformities and plan corrective surgery. Three-dimensional alpha angles were reduced to below 50° after virtual surgery without an excessive reduction in femoral neck cross-sectional area, which could increase fracture risk. A mean increase of 8° ± 2° in permitted internal rotation was observed during impingement testing following removal of the labrum. FeMorph provides a reliable and useful method to model and plan cam deformity correction. This study indicates that the presence of the labrum is responsible for a substantial decrease in permitted internal rotation at the hip joint. This has implications for surgical planning models which often only account for bony impingement.     

Definitive repair of the unilateral cleft lip nasal deformity

The majority of patients with a unilateral cleft nasal deformity still benefit from additional nasal surgery in their teenage years, despite having undergone a primary nasal repair. However, the secondary nasal deformity of these patients stands in sharp contrast to those of children who have not benefited from primary repair. The authors' algorithm for the definitive correction of these secondary deformities considers the differences in these two patient groups and defines their indications for rib cartilage grafts and their method of using septal and ear cartilage in the repair. Balancing the muscle forces on the septum and alar cartilage is emphasized in both the primary and secondary repair. Both cartilage malposition and hypoplasia of the lower lateral cartilage complex have been identified as factors contributing to the deformity.