Literature DB >> 25802663

Measurement of occlusion of the spinal canal and intervertebral foramen by intervertebral disc bulge.

Mathieu Cuchanski1, Daniel Cook2, Donald M Whiting3, Boyle C Cheng2.   

Abstract

BACKGROUND: Disc protrusion has been proposed to be a possible cause of both pain and stenosis in the lower spine. No previous study has described the amount of disc occlusion of the spinal canal and intervertebral foramen that occurs under different loading conditions. The objective of this study was to quantitatively assess the percent occlusion of the spinal canal and intervertebral foramen by disc bulge under different loading conditions.
METHODS: Spinal canal depth and foraminal width were measured on computed tomography-scanned images of 7 human lumbar spine specimens. In vitro disc bulge measurements were completed by use of a previously described method in which single functional spinal units were subjected to 3 separate load protocols in a spine test machine and disc bulge was recorded with an optoelectric motion system that tracked active light-emitting diodes placed on the posterior and posterolateral aspects of the intervertebral disc. Occlusion was defined as percentage of encroachment into area of interest by maximum measured disc bulge at corresponding point of interest (the spinal canal is at the posterior point; the intervertebral foramen is at the posterolateral point).
RESULTS: The mean spinal canal depth and mean foraminal width were 19 4 ± mm and 5 ± 2 mm, respectively. Mean spinal canal occlusion under a 250-N axial load, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend was 2.5% ± 1.9%, 2.5% ± 1.6%, and 1.5% ± 0.8%, respectively. Mean intervertebral foramen occlusion under a 250-N axial load, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend was 7.8% ± 4.7%, 9.5% ± 5.7%, and 11.3% ± 6.2%, respectively.
CONCLUSION: Percent occlusion of the spinal canal and intervertebral foramen is dependent on magnitude and direction of load. Exiting neural elements at the location of the intervertebral foramen are the most vulnerable to impingement and generation of pain.

Entities:  

Keywords:  Disc bulge; Spine biomechanics

Year:  2011        PMID: 25802663      PMCID: PMC4365618          DOI: 10.1016/j.esas.2010.09.004

Source DB:  PubMed          Journal:  SAS J        ISSN: 1935-9810


Bulging of the intervertebral discs during normal motion of the spine has been proposed as a potential cause of pain through either compression of the spinal cord or impingement of exiting neural elements.[1-5] Intervertebral disc protrusion might have a particularly significant impact in patients with pathologic conditions that result in the narrowing of the central spinal canal, lateral spinal canals, or intervertebral foramen. In certain patients, disc bulge has been attributed to be the main cause of spinal stenosis and spinal claudication.[3] It is well known that clinical nerve compression syndromes are the result of spinal canal or foraminal narrowing due to bony or soft-tissue compression. The reported incidence of lumbar radiculopathy is 0.7% to 9.6%.[6] The pathophysiology of radiculopathy is a function of both direct compression and chemical irritation, with compression being the more severe factor and therefore our area of interest. Degenerative disc disease is the primary culprit. This is a multifactorial phenomenon that includes annular bulging due to disc dehydration, disc bulging or herniation, and eventually, osteophyte formation. Lateral bending, flexion/ extension, and axial load can cause or exacerbate neural element compression, and subsequently, an understanding of what forces result in bulging in which specific areas of the disc can lead to a better understanding of both the pathophysiology and the treatment of radiculopathy. As discussed in a previous study,[7] to analyze a possible correlation between disc bulge and compression of neural structures occurring concurrently with the onset of pain, methods are first needed that can accurately estimate the amount of disc bulge occurring during normal motion of the spine. Numerous in vitro and finite element model (FEM) studies have been conducted that have assessed both quantitative and qualitative aspects of disc bulge.[1, 2, 4, 5, 8–14] Reported results from these studies have widely varied with regard to both amount and location of disc bulge. Methods and techniques to measure disc bulge have also varied across the spectrum of anatomic and FEM studies that have been conducted over the years. In a previous study,[7] a new method of measuring intervertebral disc bulge in vitro using optoelectric tracking of active light-emitting diodes (LEDs) with 0.1 mm accuracy[15-17] was developed that we believe provides a precise estimate of disc bulge. Single human cadaveric lumbar spine segments were tested under 3 different load protocols, and disc bulge was determined at 3 specific points of interest on the disc: posterior, posterolateral, and lateral. Disc bulge was defined as radial displacement from the established center of the intervertebral disc. Results from the previous study showed that disc bulge does not occur uniformly at all 3 sites on the disc under all 3 modes of load. The results also suggested that the exiting nerve roots at the location of the intervertebral foramen (the posterolateral point of the disc) are the most vulnerable to impingement and generation of pain. Under flexion/extension and lateral-bend modes of load, the greatest mean disc bulge occurred at the posterolateral point of the disc. The purpose of this study was to measure the percent occlusion of the spinal canal and the intervertebral foramen by the bulging intervertebral disc under various dynamic loading conditions. The anterior-posterior diameter of the spinal canal (spinal canal depth) and the width of the intervertebral foramen (foraminal width) were measured on computed tomography (CT)–scanned images of specimens used in the previous disc bulge study. The dimensions of the spinal structures measured in this study correspond well with measurements reported by past morphometric studies.[3, 18–21] Disc bulge results from the previously described study were used to assess percent occlusion of the spinal canal and intervertebral foramen. A null hypothesis was formed that no significant differences in percent occlusion at a particular region (spinal canal or intervertebral foramen) would be detected among the 3 different load protocols used in the study.

Materials and methods

Seven human lumbar spine specimens underwent CT scanning and were imported into a DICOM (Digital Imaging and Communications in Medicine) image viewing software program (eFilm Workstation; Merge Healthcare, Milwaukee, Wisconsin). The lumbar specimens were separated into single functional spinal units (FSUs) consisting of 2 vertebral bodies and the disc connecting them. The 15 single FSUs used for this study were carefully prepared, cleaned, and stored at –20 °C. Measurements of the depth of the spinal canal and width of the intervertebral foramen were taken by use of a reoriented gantry angle parallel to the intervertebral disc. The software-based virtual measurement tool allowed a precision of 0.1 mm on measurements of the CT-scanned DICOM images (eFilm Workstation). The spinal canal depth was defined as the distance between the posterior border of the mid-disc body and the junction of the margins of the laminae of the midline of the spinous process (Fig. 1). The foraminal width was defined as the distance between the posterolateral intervertebral disc border (at the mid-disc level) and the border of the superior facet of the inferior vertebral body (Fig. 2).
Fig. 1

Measurement of spinal canal depth using eFilm Workstation.

Fig. 2

Measurement of foraminal width using eFilm Workstation.

Measurement of spinal canal depth using eFilm Workstation. Measurement of foraminal width using eFilm Workstation. In vitro intervertebral disc protrusion measurements were completed by use of a previously described method7 in which single FSUs were subjected to 3 separate load protocols in a spine test machine, and disc bulge was recorded with an Optotrak Motion System (Optotrak Certus; Northern Digital Instruments, Waterloo, Ontario, Canada) to track active LEDs placed on the posterior, posterolateral, and lateral aspects of the intervertebral disc. The Optotrak 3020 measurement system has a reported root mean square accuracy of 0.1 mm and a resolution of 0.01 mm.[15-17]1 As shown in Figs. 3 and 4, only the posterolateral and lateral points on the right side of the intervertebral disc were tracked in every specimen tested. Because of the configuration of the tracking system, it was prudent to fully capture a quadrant of the disc bulge rather than the entire 180° of the posterior half of the intervertebral disc. In addition, it is assumed that the intervertebral disc will respond symmetrically to the input loads. Before testing, the location of 4 points on each vertebral body approximating the lateral-most, anterior-most, and posterior-most points on both the inferior and superior aspects of the disc was digitized with respect to their associated rigid body flag so that their location could be virtually tracked throughout the test (Fig. 3). The center of the disc was calculated as the centroid of these 8 digitized points, and disc bulge was calculated as the deviation of each of the 3 active LEDs from their initial distance from the disc centroid (Fig. 4). The maximum disc bulge was calculated as the maximum deviation from the initial distance to the disc center during the third cycle of testing. For this study, only the disc bulge measurements at the posterior and posterolateral sites of the disc were of particular interest. Occlusion of the spinal canal was defined as the percentage of encroachment into the spinal canal (spinal canal depth) by maximum measured disc bulge at the posterior point of the disc (maximum measured posterior disc bulge/spinal canal depth × 100). Occlusion of the intervertebral foramen was defined as the percentage of encroachment into the intervertebral foramen (foraminal width) by maximum measured disc bulge at the posterolateral point of the disc (maximum measured posterolateral disc bulge/foraminal width × 100).
Fig. 3

Single FSU loaded in spine test machine. The arrows indicate the location of 4 of the 8 digitized points that were used to estimate the center of the disc.

Fig. 4

Transverse section of intervertebral disc showing location of 3 active LEDs and measurement of disc bulge.

Single FSU loaded in spine test machine. The arrows indicate the location of 4 of the 8 digitized points that were used to estimate the center of the disc. Transverse section of intervertebral disc showing location of 3 active LEDs and measurement of disc bulge.

Statistical methods

A repeated-measures analysis of variance (ANOVA) test was used to compare the mean percent occlusion among the different modes of loading for a particular region of the intervertebral disc. A least significant difference post hoc test was used to determine which modes of load were statistically significant if a predefined significance level was reached.

Results

The donor information for the 7 lumbar specimens is tabulated in Tables 1 and 2. The anterior column grading for all levels of all 7 specimens is listed in Table 3. The spines were scored on a scale from 0 to 4 in which 0 indicates normal and 1, 2, and 3 denote mild, moderate, and severe degenerative disease, respectively. The grading of the spine specimens compiled in Table 3 shows that the vast majority of the levels tested were either normal or only mildly degenerated.
Table 1

Donor information of all spine specimens

SpecimenAgeHeight (in)Weight (lb)SexDEXA (BMD)Cause of death
C0805707067234FN/ACardiopulmonary arrest
S0801086565108F0.813Respiratory failure, bacterial pneumonia
S0804314873180F1.111Cardiac arrhythmia
C0801336675177MN/ALung cancer
S0804293465205F0.870Atherosclerotic coronary artery disease
C0801726666145F0.700Cardiopulmonary arrest, intracerebral hemorrhage
S0804046661110F0.639Respiratory failure

Abbreviations: DEXA, Dual Energy; X-Ray Absorptiometry; BMD, Bone Mineral Density; N/A, Not Available.

Table 2

DEXA summary

LevelSpecimen

C080570S080108S080431C080133S080429C080172S080404
Region
 L1N/A0.7211.074N/A0.8470.6520.563
 L2N/A0.8301.126N/A0.8560.7460.653
 L3N/A0.8481.131N/A0.9010.7390.647
 L4N/A0.8391.108N/A0.8740.6610.678
MeanN/A0.8131.111N/A0.8700.7000.639

Abbreviations: DEXA, Dual Energy; X-Ray Absorptiometry; N/A, Not Available.

Table 3

Anterior column grading*

LevelSpecimen

C080133C080172C080570S080431S080404S080429S080108
L1-20200001
L2-30300001
L3-41110000
L4-51211000
L5-S11011100

Graded on a scale from 0 to 4, where 0 indicates normal, 1 indicates mild degenerative disease, 2 indicates moderate degenerative disease, and 3 indicates severe degenerative disease.

Donor information of all spine specimens Abbreviations: DEXA, Dual Energy; X-Ray Absorptiometry; BMD, Bone Mineral Density; N/A, Not Available. DEXA summary Abbreviations: DEXA, Dual Energy; X-Ray Absorptiometry; N/A, Not Available. Anterior column grading* Graded on a scale from 0 to 4, where 0 indicates normal, 1 indicates mild degenerative disease, 2 indicates moderate degenerative disease, and 3 indicates severe degenerative disease. Table 4 lists the measurement results and descriptive statistics for all the specimens measured in the study. The mean spinal canal depth was 19 ± 4 mm. The range of observed measurements was 12 mm, with a minimum of 13 mm and a maximum of 25 mm. The mean foraminal width was 5 ± 2 mm. The range was 7 mm, with a minimum of 2 mm and a maximum of 9 mm. Table 5 displays the spinal canal and intervertebral foramen occlusion percentages by region and load. Mean spinal canal occlusion under a 250-N axial load, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend was 2.5% ± 1.9%, 2.5% ± 1.6%, and 1.5% ± 0.8%, respectively. Maximal spinal canal occlusion was 6.7% (occurring under a 250-N axial load) and minimal spinal canal occlusion was 0.5% (occurring under ± 2.5 Nm of flexion/extension). Mean intervertebral foramen occlusion under a 250-N axial load, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend was 7.8% ± 4.7%, 9.5% ± 5.7%, and 11.3% ± 6.2%, respectively. Maximal intervertebral foramen occlusion was 24.4% (occurring under ± 2.5 Nm of lateral bend) and minimal intervertebral foramen occlusion was 2.1% (occurring under ± 2.5 Nm of flexion/extension).
Table 4

Spinal canal depth and foraminal width measurements

LevelPosterior (spinal canal depth) (mm)Posterolateral (foraminal width) (mm)**
Specimen
 C080570L1-2246
 C080570L3-4235
 C080570L5-S1165
 S080404L1-2185
 S080404L3-4185
 S080404L5-S1165
 S080429L1-2256
 S080429L3-4226
 S080429L5-S1167
 S080108L1-2219
 S080108L3-4194
 S080108L5-S1134
 C080133L1-2259
 C080133L3-4208
 C080133L5-S1174
 S080431L1-2246
 S080431L3-4225
 S080431L5-S1215
 C080172L1-2195
 C080172L3-4174
 C080172L5-S1132
Mean19 ± 45 ±2
Maximum259
Minimum132
Table 5

Summary of descriptive statistics by region and mode of load

LevelPosterior (spinal canal depth)Posterolateral (foraminal width)

250 N comp±2.5 Nm FE±2.5 Nm LB250 N comp±2.5 Nm FE±2.5 Nm LB
Specimen
 C080570L1-21.13.60.64.410.78.2
 C080570L3-4
 C080570L5-S16.04.80.65.64.14.7
 S080404L1-21.43.12.35.95.824.4
 S080404L3-4
 S080404L5-S1
 S080429L1-22.01.61.810.112.513.7
 S080429L3-41.41.80.67.39.06.5
 S080429L5-S12.51.92.15.27.07.0
 S080108L1-21.11.10.83.04.44.7
 S080108L3-41.92.41.415.718.523.6
 S080108L5-S16.76.72.217.820.814.2
 C080133L1-22.31.51.83.95.79.0
 C080133L3-43.31.80.910.210.713.0
 C080133L5-S1
 S080431L1-20.61.61.03.75.34.5
 S080431L3-41.50.51.45.32.110.6
 S080431L5-S1
 C080172L1-21.41.61.45.87.813.9
 C080172L3-43.63.53.313.517.711.2
 C080172L5-S1
Mean2.5 ± 1.92.5 ± 1.61.5 ± 0.87.8 ± 4.79.5 ± 5.711.3 ± 6.2
Maximum6.76.73.317.820.824.4
Minimum0.60.50.63.02.14.5

Abbreviations: comp, compression; FE, Flexion/Extension; LB, Lateral Bend.

Reported values are percent occlusion of specified region under 250-N axial compression, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend.

Spinal canal depth and foraminal width measurements Summary of descriptive statistics by region and mode of load Abbreviations: comp, compression; FE, Flexion/Extension; LB, Lateral Bend. Reported values are percent occlusion of specified region under 250-N axial compression, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend. At the posterior point of the disc, significant differences were detected only between ± 2.5 Nm of flexion/extension and ± 2.5 Nm of lateral bend (P =.030). No significant differences were seen among other modes of loading at the posterior point of the disc. At the posterolateral site of the disc, significant differences were detected between 250 N of axial compression and ± 2.5 Nm of flexion/extension (P = .014). Significant differences were also detected between 250 N of axial compression and ± 2.5 Nm of lateral bend (P = .026). No significant differences were found between ± 2.5 Nm of flexion/extension and ± 2.5 Nm of lateral bend. Table 6 displays the results of the repeated-measures ANOVA test (SPSS 17.0; SPSS, Chicago, Illinois).
Table 6

Repeated-measures ANOVA test results*

Mean differenceSE P value 95% confidence interval for difference

Lower boundUpper bound
Posterior (spinal canal occlusion)
 1 and 3 0.9730.456.051−0.0041.950
 2 and 10.0460.277.870−0.5480.640
 2 and 31.0190.421.0300.1161.922
Posterolateral (intervertebral foramen occlusion)
 1 and 2−1.6370.580.014−2.880−0.393
 1 and 3−3.4581.389.026−6.439−0.478
 2 and 3−1.8221.619.280−5.2951.651

Mean difference is significant at the .05 level.

A least significant difference post hoc test was used to adjust for multiple comparisons.

A 1 indicates 250 N of axial compression; 2, ± 2.5 Nm of flexion/extension; and 3, ± 2.5 Nm of lateral bend.

Repeated-measures ANOVA test results* Mean difference is significant at the .05 level. A least significant difference post hoc test was used to adjust for multiple comparisons. A 1 indicates 250 N of axial compression; 2, ± 2.5 Nm of flexion/extension; and 3, ± 2.5 Nm of lateral bend.

Discussion

The aim of this study was to measure percent occlusion of the spinal canal and intervertebral foramen by disc bulge under different loading conditions. CT-scanned images of 7 human lumbar spine cadaveric specimens were used to obtain 2 measurements (spinal canal depth and foraminal width). Disc bulge at the posterior and posterolateral sites of the intervertebral disc under 3 different load protocols (axial compression, flexion/extension, and lateral bend) was measured by use of a previously described method, and the reported results were used to assess percent occlusion in the current study. No previous study has investigated and compared the amount of occlusion that occurs at a particular location (ie, spinal canal or intervertebral foramen) by the intervertebral disc under various dynamic loading conditions. The overall mean anterior-posterior spinal canal diameter (spinal canal depth) measured in this study (19 ± 4 mm) was slightly greater than measurements reported by most previous studies. In a morphometric study of 443 adult Negroid and Caucasoid skeletons, Eisenstein[19] found the mean anterior-posterior spinal canal diameter to be 15 mm, with an overall range of 12 to 21 mm. In a morphometric study of 121 adult Italian and Indian skeletons, Postacchini et al.[20] found the midsagittal diameter of the spinal canal to range from 11.5 to 20 mm (depending on ethnicity, spinal level, and location of measurement). Ullrich et al.[21] reported normal anterior-posterior diameters of the spinal canal to range from 15 to 25 mm in a study that assessed the dimensions of the spinal canal using CT. Panjabi et al.[22] found the anterior-posterior spinal canal diameter (referred to as “spinal canal depth” in their study) to range on average from 17.5 ± 0.53 mm to 19.7 ± 0.49 mm depending on lumbar vertebral level.[14] Spinal canal depth in this study was observed to be narrowest at L3 (17.5 ± 0.53 mm) and greatest at L5 (19.7 ± 0.49 mm).[22] The overall mean midsagittal spinal canal diameter values measured in our study closely agree with the values reported by Panjabi et al. Varol et al.[23] reported mean spinal canal depths to range from 13.33 to 16.31 mm (SDs ranging from ± 1.88 mm to ± 2.52 mm) depending on spinal level and sex on CT images of 100 patients having low-back pain. On CT images in a control group of 40 individuals with no history of low-back pain, Varol et al. reported mean spinal canal depths to range from 17.15 to 18.68 mm (SDs ranging from ± 1.82 mm to ± 2.23 mm) depending on spinal level and sex.[23] In a study investigating intervertebral foramen dimensions, Cinotti et al.[18] found the mean minimal foraminal width to be 4.5 mm, with a range of 2.5 to 5 mm. The anterior-posterior spinal canal diameter (spinal canal depth) and the foraminal width measured in our study are within the range of results reported by Eisenstein, Postacchini et al., Ullrich et al., Panjabi et al., Varol et al., and Cinotti et al. The slightly greater mean measurements we observed may be explained by the far smaller sample size and the location of the measurements in this study. Measurements of the anterior-posterior spinal canal diameter in this study were taken by use of CT scans at mid-disc level, at an angle parallel to the intervertebral disc. Measurements of the anterior-posterior spinal canal diameter in previous studies, however, were performed at locations either defined where the anterior-posterior spinal canal diameter is reported to be narrowest7 or within the parameters of the vertebral body[20, 22, 23] instead of at the level of the intervertebral disc. The results of the repeated-measures ANOVA test provide significant evidence against our null hypothesis. There were significant differences that were observed in percent occlusion for a given location among the 3 different loading conditions. In the spinal canal, greater occlusion was seen to occur under a 250-N axial load and ± 2.5 Nm of flexion/ extension than during ± 2.5 Nm of lateral bend. At the intervertebral foramen, greater occlusion was observed during ± 2.5 Nm of flexion/extension and ± 2.5 Nm of lateral bend than during a 250-N axial compressive load. Compared with past studies of the intervertebral disc, lower loads (250-N axial load, ± 2.5 Nm of flexion/extension, and ± 2.5 Nm of lateral bend) were applied in this study because of the relative instability of testing only the vertebral bodies with intervertebral discs. Furthermore, it would be difficult to determine whether high loads, such as 7.5 Nm, would necessarily be physiologic, and it was our aim to remain below a threshold load level that would be traumatic to the partial motion segment. Maximal and overall occlusion percentages were greatest at the intervertebral foramen. These results support the conclusion from our previous study that disc bulge (and thus disc occlusion) for a given site on the intervertebral disc is dependent on magnitude of load, direction of applied load, and location on the intervertebral disc. Furthermore, the results of this study support the proposal that exiting neural elements at the location of the intervertebral foramen are the most vulnerable to impingement and generation of pain. In the context of this study, pain generation is defined as stimulation of pain nerve fibers by mechanical compression. Stimulation of the nerve fibers in this fashion may or may not lead to a subjective feeling of pain. Nevertheless, disc bulge encroaching and compressing neural elements (whether in the spinal canal or exiting through the intervertebral foramen) will cause stimulation of pain nerve fibers that potentially could generate a subjective feeling of pain. There are several limitations of this study because of the test setup. Removal of the posterior elements to measure disc bulge is arguably the most significant limitation. Overall stability of the FSUs tested is in all likelihood decreased because of excision of the posterior column. One can expect increased range of motion and decreased stability with the elimination of the facet joints, which have a major impact on extension and lateral-bend movement, and the removal of the lamina and other parts of the posterior column, which are important in axial torsion or resistance to axial torsion. When measurement techniques that do not require line-of-site visibility during controlled loading procedures are developed, the need for removal of the posterior elements will be mitigated. Furthermore, because of the removal of the posterior column, we are unable to comment on the effect of aspects of the posterior column, such as the ligamentum flavum, on spinal canal occlusion. According to a study by Hansson et al.,[24] bulging of the ligamentum flavum due to applied external load was responsible for 50% to 85% of spinal canal narrowing measured in their study. Unfortunately, we can only account for occlusion of the spinal canal caused by bulging of the intervertebral disc in this study. At best, occlusion due to ligamentum flavum intrusion may be estimated by the amount of posterior disc bulge given a reasonable accounting for the ligamentum flavum thickness. Nevertheless, despite the limitations of the test setup, we believe that the results of the study have clinical ramifications regarding how a bulging intervertebral disc, in response to applied external load, might compress nerves exiting the intervertebral foramen and potentially cause pain.
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6.  Bulging of lumbar intervertebral discs: non-contacting measurements of anatomical specimens.

Authors:  I A Stokes
Journal:  J Spinal Disord       Date:  1988

7.  Morphometry of the lumbar vertebrae. An anatomic study in two caucasoid ethnic groups.

Authors:  F Postacchini; M Ripani; S Carpano
Journal:  Clin Orthop Relat Res       Date:  1983 Jan-Feb       Impact factor: 4.176

8.  Mechanical response of the lumbar intervertebral joint under physiological (complex) loading.

Authors:  H S Lin; Y K Liu; K H Adams
Journal:  J Bone Joint Surg Am       Date:  1978-01       Impact factor: 5.284

9.  Quantitative assessment of the lumbar spinal canal by computed tomography.

Authors:  C G Ullrich; E F Binet; M G Sanecki; S A Kieffer
Journal:  Radiology       Date:  1980-01       Impact factor: 11.105

10.  Human lumbar vertebrae. Quantitative three-dimensional anatomy.

Authors:  M M Panjabi; V Goel; T Oxland; K Takata; J Duranceau; M Krag; M Price
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