Vijay K. Goel

Human Lumbar Vertebrae: Quantitative Three-dimensional Anatomy

This study details the quantitative three-dimensional surface anatomy of human lumbar vertebrae based on a study of 60 vertebrae. The two lower vertebrae (L4 and L5) appeared to be transitional toward the sacral region, whereas the upper two vertebrae (L1 and L2) were transitional toward the thoracic region. Means and standard errors of the means for linear, angular, and area dimensions of vertebral bodies, spinal canal, pedicle, pars interarticularis, spinous and transverse processes were obtained for all lumbar vertebrae. This information provides a better understanding of the spine, and allows for a more precise clinical diagnosis and surgical management of spinal problems. The information is also necessary for constructing accurate mathematical models of the human spine.

Cervical Human Vertebrae Quantitative Three-dimensional Anatomy of the Middle and Lower Regions

In this study, the three-dimensional quantitative anatomy of middle and lower cervical vertebrae was determined. The three-dimensional coordinates of various marked points on the surface of the vertebra were measured with a specially designed morphometer instrument. From these coordinates, linear dimensions, angulations, and areas of surfaces and cross-sections of most vertebral components were calculated. The results showed two distinct transition regions: 1) toward the thoracic spine by the wider C7 vertebra but narrower spinal canal; and 2) toward the upper cervical region with the larger pedicle and spinous process of C2. Based on the study of 72 human cervical vertebrae, mean and standard error of the mean values of some clinically important dimensions of vertebral body, spinal canal, pedicles, transverse processes, spinous process, and uncovertebral joints are given for C2-C7 vertebrae. The areas of the end plates, spinal canal, and pedicles were modeled by elliptical and triangular shapes, and results were compared with the actual measurements.

Thoracolumbar burst fractures : the clinical efficacy and outcome of nonoperative management

There continues to be considerable controversy regarding the management of thoracolumbar burst fractures. Most feel that failure of the middle osteoligamentous complex, particularly with retropulsion of fragments into the spinal canal, is an indication for operative management. Others advocate postural reduction and prolonged bedrest for such injuries. The purpose of this study was to 1) review the clinical outcome and efficacy of closed management of thoracolumbar burst fractures; and 2) quantify what, if any, remodeling occurs in the bony canal as measured by serial CT. Forty-one patients who presented with a burst fracture of the thoracolumbar spine without neurologic deficit were reviewed clinically and radiographically following nonoperative management. At injury, canal compromise averaged 37% (range, 16-66%); 26 patients had at least 30% canal compromise. During treatment, one patient developed neurologic deterioration that prompted surgery; all other patients remained neurologically intact. At average follow-up of 2 years, an overall outcome evaluation indicated that 49% of the patients had excellent outcomes relative to pain and function; 17%, good; 22%, fair; and 12%, poor. Approximately 90% of the patients had a satisfactory work status relative to factors associated with their burst fracture. Serial roentgenograms documented significant progression in body collapse, which averaged 8% (P < 0.0001) from injury to follow-up. On the other hand, serial CTs documented significant improvement from injury to follow-up for canal compromise and midsagittal diameter. Average improvements in canal compromise and midsagittal diameter were 22% (P < 0.0001) and 11% (P < 0.0001), respectively. Only three patients had canal compromise greater than 30%, no patients had canal compromise greater than 40%, and no patients experienced canal area deterioration over time. On average, nearly two-thirds of the fragment occluding the canal resorbed, with most remodeling complete within one year. For patients with burst fractures presenting neurologically intact, we obtained the following findings: 1) nonoperative management yields acceptable results; 2) following nonoperative management, bony deformity (i.e., kyphosis and body collapse) progresses marginally relative to the rate of canal area remodeling; 3) incidence of subsequent neurologic deficits is quite low; and 4) initial radiographic severity of injury or residual deformity following closed management does not correlate with symptoms at follow-up. This pattern of results suggests nonoperative management as the preferred treatment in these circumstances.

Thoracic Human Vertebrae Quantitative Three-dimensional Anatomy

This study details the quantitative three-dimensional surface anatomy of thoracic vertebrae based on a study of 144 vertebrae. The thoracic spine was found to have three distinct regions: upper, middle, and lower segments. The two end segments appear to be transitional zones toward cervical and lumbar regions. The middle zone (T3 to T9) is of utmost importance due to the presence of the combination of narrow spinal canal and critical vascular supply. Means and standard errors of the means for linear, angular, and area dimensions of vertebral bodies, spinal canal, pedicle, pars articularis, spinous and transverse processes, and rib articulations are provided for all thoracic vertebrae. This information is necessary for constructing accurate mathematical models of the human spine. It will also provide a better understanding of the spine, and allow for a more precise clinical and surgical management of spinal problems.

Muscular Response to Sudden Load: A Tool to Evaluate Fatigue and Rehabilitation

Study Design Subjects were exposed to fatiguing and restorative interventions to assess their response to sudden loads. Objectives To investigate the erector spinae and rectus abdominis response characteristics to “sudden load” and the effect of fatigue and rehabilitation. Summary of Background Data Unexpected loads, which people often experience, can lead to high forces in the spine and may be a cause of low back injury. Methods Muscle responses to sudden load were mediated by fatigue, walking, expectation, method of load application, exposure to vibration, and cognitive‐behavioral rehabilitation in patients with chronic low back pain. A novel technique, perfected in this work, called wavelet analysis, was used to analyze these data. Results Reaction time was affected by fatigue and expectation. Vibration exposure significantly increased the muscle response time. Walking was able to ameliorate that effect. Back muscles responded differently, depending on whether loads were applied to the back through the hands or through the trunk. Electromyographic reaction time and magnitude decreased in patients after a 2‐week rehabilitation program. Conclusions Sudden loads can exacerbate fatigue effects. Walking after driving reduces the risk to the back caused by handling unpredictable loads. Vibration exposure guidelines should be more conservative. Patients have longer response times than healthy subjects, but patients can improve their response to sudden loads via rehabilitation. Patients exhibit a flexion‐extension oscillation at 5 Hz in response to a sudden load, suggesting that the 5‐Hz, seated, natural frequency observed during whole‐body vibration may result from neurophysiologic control limits.

Load-sharing between anterior and posterior elements in a lumbar motion segment implanted with an artificial disc.

Study Design. A nonlinear three-dimensional finite element model of the osteoligamentous L3–L4 motion segment was used to predict changes in posterior element loads as a function of disc implantation and associated surgical procedures. Objectives. To evaluate the effects of disc implantation on the biomechanics of the posterior spinal elements (including the facet joints, pedicles, and lamina) and on the vertebral bodies. Summary of Background Data. Although several artificial disc designs have been used clinically, biomechanical data—particularly the change in loads in the posterior elements after disc implantation—are sparse. Methods. A previously validated intact finite element model was implanted with a ball-and-cup–type artificial disc model via an anterior approach. The implanted model predictions were compared with in vitro data. To study surgical variables, small and large windows were cut into the anulus, and the implant was placed anteriorly and posteriorly within the disc space. The anterior longitudinal ligament was also restored. Models were subjected to either 800 N axial compression force alone or to a combination of 10 N-m flexion–extension moment and 400 N axial preload. Implanted model predictions were compared with those of the intact model. Results. Facet loads were more sensitive to the anteroposterior location of the artificial disc than to the amount of anulus removed. Under 800 N axial compression, implanted models with an anteriorly placed artificial disc exhibited facet loads 2.5 times greater than loads observed with the intact model, whereas posteriorly implanted models predicted no facet loads in compression. Implanted models with a posteriorly placed disc exhibited greater flexibility than the intact and implanted models with anteriorly placed discs. Restoration of the anterior longitudinal ligament reduced pedicle stresses, facet loads, and extension rotation to nearly intact levels. Conclusions. The models suggest that, by altering placement of the artificial disc in the anteroposterior direction, a surgeon can modulate motion-segment flexuralstiffness and posterior load-sharing, even though the specific disc replacement design has no inherent rotational stiffness.

Physiologic strains in the lumbar spinal ligaments: an in vitro biomechanical study

For understanding of the mechanical causes of low-back pain, knowledge of the biomechanics of the various spinal elements is essential. In this in vitro biomechanical study, in situ behavior of spinal ligaments of the L3-4 and L4-5 functional spinal units during physiologic activities was studied in a three-stage procedure. First, 72 load-displacement curves were obtained to determine the three-dimensional flexibility characteristics of the spinal units. Second, three-dimensional morphometric measurements were made of all the spinal ligament attachment points. Finally, a mathematical model was constructed to combine the flexibility and morphometric data and compute the ligament length changes and strains as functions of various spinal movements. In flexion movement, the interspinous and supra-spinous ligaments were found to be subjected to the highest strains, followed by the capsular ligaments and the ligamentum flavum. During extension, it is the anterior longitudinal ligament that has the maximum strain. In lateral bending, the contralateral transverse ligaments carried the highest strains, while the interspinous and supraspinous ligaments were relatively unstrained. In rotation, the capsular ligaments were by far the most strained ligaments.

Prediction of load sharing among spinal components of a C5-C6 motion segment using the finite element approach.

Study Design. A finite element model of the ligamentous cervical spinal segment was used to compute loads in various structures in response to clinically relevant loading modes. Objective. To predict biomechanical parameters, including intradisc pressure, tension in ligaments, and forces across facets that are not practical to quantify with an experimental approach. Summary of Background Data. Finite element models of the cervical spine in their present form, because of inherent assumptions and simplifications, are not entirely satisfactory for studying the biomechanics of the intact, injured, and stabilized cervical spinal segment. Methods. A three‐dimensional finite element model of a C5‐C6 motion segment was developed from serial computed tomographic scans of a ligamentous cervical spinal segment. This model included nonlinear ligament definition, fully composite intervertebral disc, fluid nucleus, and Luschkas joints. The model‐based displacement predictions were in agreement with the experimental data. This model was used to predict load sharing and other related parameters in spinal elements in response to various loading modalities. Results. In axial compression, 88% of the applied load passed through the disc. The interspinal ligament experienced the most strain (29.5%) in flexion, and the capsular ligaments were strained the most (15.5%) in axial rotation. The maximum intradisc pressure was 0.24 MPa in the flexion with axial compression mode (1.8 Nm + 73.6 N). The anterior and posterior disc bulges increased with the increase in axial compression (up to 800 N). Conclusions. The results provide new insight into the role of various elements in transmitting loads. The model represents significant and essential advancement in comparison with previous finite element models, making it possible for such models to be used in investigating a broad spectrum of clinically relevant issues.

An analytical investigation of the mechanics of spinal instrumentation.

Three-dimensional nonlinear finite element models of the intact L4–5 one motion segments/two-vertebrae and L3–5 two motion segments/three-vertebrae were developed using computed tomography (CT) films. The finite element mesh of the L4–5 motion segment model was modified to simulate bilateral decompression surgery. The mesh was further altered to achieve stabilization, using an interbody bone graft and a set of Steffee plates and screws. The model behavior of the intact specimen in all loading modes and of the stabilized model in compression, flexion, and extension modes were studied. The stresses in the cancellous bone region were found to decrease. The interbody bone graft, due to an overall decrease in stresses in the bone below the screw, transmits about 80% of the axial load as compared with 96% transmitted by an intact disc in an intact model. Thus, the use of a fixation device induces a stress shielding effect in the vertebral body. The results indicate that although the bone graft transmits lesser loads than the intact disc, it is active in transmitting loads. The presence of low stresses in the cancellous bone region and high localized stresses in the cortical pedicle region surrounding the screw, compared with the intact case, suggests that the screws are likely to become loose over time. The use of an interbody bone graft alone or in combination with any existing fixation device also induces higher stresses at the adjacent levels. This may be responsible for the adverse latrogenic effects seen clinically.

Test protocols for evaluation of spinal implants.

Prior to implantation, medical devices are subjected to rigorous testing to ensure safety and efficacy. A full battery of testing protocols for implantable spinal devices may include many steps. Testing for biocompatibility is a necessary first step. On selection of the material, evaluation protocols should address both the biomechanical and clinical performance of the device. Before and during mechanical testing, finite element modeling can be used to optimize the design, predict performance, and, to some extent, predict durability and efficacy of the device. Following bench-type evaluations, the biomechanical characteristics of the device (e.g., motion, load-sharing, and intradiscal pressure) can be evaluated with use of fresh human cadaveric spines. The information gained from cadaveric testing may be supplemented by the finite element model-based analyses. Upon the successful completion of these tests, studies that make use of an animal model are performed to assess the structure, function, histology, and biomechanics of the device in situ and as a final step before clinical investigations are initiated. The protocols that are presently being used for the testing of spinal devices reflect the basic and applied research experience of the last three decades in the field of orthopaedic biomechanics in general and the spine in particular. The innovation within the spinal implant industry (e.g., fusion devices in the past versus motion-preservation devices at present) suggests that test protocols represent a dynamic process that must keep pace with changing expectations. Apart from randomized clinical trials, no single test can fully evaluate all of the characteristics of a device. Due to the inherent limitations of each test, data must be viewed in a proper context. Finally, a case is made for the medical community to converge toward standardized test protocols that will enable us to compare the vast number of currently available devices, whether on the market or still under development, in a systematic, laboratory-independent manner.