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DOI:10.2214/AJR.08.2026
AJR 2009; 193:W33-W37
© American Roentgen Ray Society


Original Research

Defining Normal Vertebral Angulation at the Thoracolumbar Junction

Michael B. Crawford1, Andoni P. Toms1 and Lee Shepstone2

1 Department of Radiology, Norfolk and Norwich University Hospital, NHS Foundation Trust, Colney Ln., Norwich, Norfolk NR4 7UY, United Kingdom.
2 School of Medicine, Health Policy and Practice, University of East Anglia, Norwich, Norfolk, United Kingdom.

Received October 29, 2008; accepted after revision January 2, 2009.

 
Address correspondence to M. B. Crawford (Michael.crawford{at}nnuh.nhs.uk).

WEB This is a Web exclusive article.


Abstract
Top
Abstract
Introduction
Material and Methods
Results
Discussion
References
 
OBJECTIVE. The purpose of this cross-sectional study is to define the normal range of endplate angulation at T12 and L1 and, by doing so, to validate the angle measurement tools that are readily available on nearly all PACS.

MATERIALS AND METHODS. Two hundred consecutive lateral scout CT scans were examined in patients who were either 25 (n = 100) or 35 (n = 100) years old. The endplate angles for T12 and L1 were measured using a "Cobb angle" tool on a standard PACS workstation. Twenty-two cadaveric vertebrae were also imaged, and measurements obtained from the lateral scout CT image using electronic calipers were compared with measurements obtained with a goniometer.

RESULTS. The mean endplate angle at T12 measures 4.34° (2 SD, 4.5°) and at L1, 4.48° (4.26°). The normal range of endplate angulation is therefore -0.16° to 8.84° at T12 and 0.22-8.74° at L1. No statistically significant difference was seen in the endplate angulation when men were compared with women or 25- and 35-year-old age groups were compared. A strong correlation exists between direct and CT-derived endplate angle measurements.

CONCLUSION. Vertebral endplate angulation can be reliably measured using widely available PACS workstation tools. The mean endplate angle for T12 and L1 is approximately 4.5°, with an approximate range extending from 0° to 9°. For practical purposes, an endplate angle of 10° or more can be considered outside the normal range.

Keywords: anatomy • CT • thoracolumbar junction • wedging


Introduction
Top
Abstract
Introduction
Material and Methods
Results
Discussion
References
 
Anterior angulation or "wedging" of the vertebral bodies at the thoracolumbar junction is a recognized normal anatomic feature [1]. The thoracolumbar junction is also the most common location for osteoporotic and traumatic vertebral fractures. More than 50% of traumatic fractures occur between T12 and L2 [1, 2]. The lower thoracic spine is also the most common site of Scheuermann's disease and is a further cause of vertebral wedging [3, 4]. Therefore, it can sometimes be difficult to differentiate between grade 1 osteoporotic fractures, mild traumatic fractures, and normal anatomic wedging. Several techniques have been described to quantify vertebral deformity. These usually involve measuring and comparing the relative anterior and posterior heights of vertebral bodies [1, 5-7]. Although this quantification of vertebral shape provides objective measures that can assist in the interpretation of thoracolumbar radiographs, the technique is time-consuming and infrequently used. The purpose of this study was to define the normal range of angulation of the endplates of the T12 and L1 vertebral bodies using electronic tools that are widely available on all diagnostic DICOM workstations. The validity of these tools to obtain measurements of vertebral angulation was also evaluated.


Material and Methods
Top
Abstract
Introduction
Material and Methods
Results
Discussion
References
 
An analysis of lateral scout CT scans from 200 consecutive thoracoabdominal CT examinations (LightSpeed Plus, GE Healthcare) was performed. Two hundred consecutive patients, 100 each at 25 and 35 years old, were included in the study beginning January 1, 2002, and ending December 31, 2004. All CT examinations were harvested from the hospital PACS. Only the first CT scan of a given patient was included. A lateral tomograph showing the entire lumbosacral spine was required for inclusion in study. Exclusion criteria were as follows: major trauma (such as an motor vehicle collision); any disease of the vertebral column, spinal canal, paravertebral soft tissues, or retroperitoneum; traumatic vertebral fractures; and known vertebral collapse. Patients were also excluded if there were fewer or more than five lumbar vertebrae or segmentation anomalies at the lumbosacral junction. In total, 222 CT studies were examined, with 22 being excluded, leaving a data set of 200. Eight were excluded because the lateral tomographs were too pixilated to clearly identify the outline of the vertebrae. Thirteen were excluded because of lumbosacral ambiguity. One study was excluded because of retroperitoneal disease.


Figure 1
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Fig. 1 Diagrammatic representation of measurements of variable endplate morphology on lateral projection. Lines intersecting anterior and posterior superior corners and anterior and posterior inferior corners were drawn without regard for shape or orientation of intervening endplate.

 


Figure 2
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Fig. 2 Lateral scout radiograph shows use of "Cobb angle" tool on PACS workstation.

 


Figure 3
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Fig. 3A Reliability study of CT scout tomography. Lateral photograph (A) and scout CT scan (B) of part of set of cadaveric lumbar vertebrae used to assess reliability of CT scout tomograms for reproducing vertebral geometry.

 


Figure 4
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Fig. 3B Reliability study of CT scout tomography. Lateral photograph (A) and scout CT scan (B) of part of set of cadaveric lumbar vertebrae used to assess reliability of CT scout tomograms for reproducing vertebral geometry.

 
Measurements
Endplate angles for T12 and L1 were measured using electronic calipers from the lateral CT tomographs. The superior endplate was defined as a line drawn between the most anterosuperior and the most posterosuperior corners of the vertebral body. The inferior endplate angle was similarly defined for the anteroinferior and posteroinferior corners. The shape of the intervening endplate was ignored (Fig. 1). The angle between the two endplates was measured using the "Cobb angle" tool on the PACS workstation (Fig. 2).

CT examinations for a total of 200 patients (114 men and 86 women) were included in the study and were independently examined by two observers. All CT examinations were obtained with the patient in the supine position. The data sets were then compared, and when there was a difference of more than 3°, the case was reviewed by the two reporting observers and remeasured independently in order to minimize discrepancies between the two observers that might result from inadvertently measuring the incorrect vertebral level. The second measurement was then accepted regardless of the difference between observers. A total of 15 examinations were reviewed for which the second readings were used in the final data set. Fifty examinations were measured twice by the same observer (blinded), with an interval of 8 weeks between measurements.

The rationale for using CT scout tomograms for assessing vertebral angulation was tested using 22 cadaveric vertebrae. A lateral scout tomogram was performed on the dry specimens using the standard CT protocol for chest and abdominal CT (Fig. 3A, and 3B). Thereafter, the vertebral endplate angles were measured independently by two observers. These measurements were obtained from the dry bones using a goniometer and from the CT images using the electronic Cobb angle tool.

Statistical Analysis
For the cadaveric vertebral study, interobserver reliability was tested using intraclass correlation (ICC); a comparison of the dry bone and CT measurements was performed using the Bland-Altmann plot and the Pearson's correlation coefficient test.

For the study of the healthy CT population, the mean endplate angle was calculated for T12 and L1 with a normal range defined as 2 SD from the mean. Intra- and interobserver reliability was tested using ICCs. Comparisons between T12 and L1 were performed using the paired Student's t test, and between men and women and between patients 25 and 35 years old were performed using the unpaired Student's t test.

To assess whether the results are applicable to conventional radiography (in which the thoracolumbar junction is typically projected over the superior region of the radiographic plate and subjected to magnification and parallax distortion), a trigonometric model was used to estimate the maximal possible alteration in endplate angulation. A hypothetic vertebral body measuring 4.5 cm in the anteroposterior dimension, having a 3.5 cm posterior body height, and with an endplate angle of 9°—the upper limit of the normal range—was used for the calculations. The hypothetic vertebral body was considered to be positioned 20 cm from a 42 x 35 radiographic film with a filmfocus distance of 100 cm and projected over the superior edge of the film, which is the point of maximal parallax error (Fig. 4).


Figure 5
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Fig. 4 Diagrammatic representation of magnification and parallax distortion of thoracolumbar vertebra projected onto superior edge of 42 x 35 cm radiographic plate. With film-focus distance of 100 cm (A + B), beam at edge of film subtends angle of 11.9° to horizontal [tan-1 (21 / 100)]. A vertebral body with endplate angle of 9° (2{alpha}1), measuring 3.5 cm in posterior body height (x1) and 4.5 cm in anteroposterior width (y1), positioned 20 cm (A) from film will be magnified and distorted because of parallax errors. From this the following can be estimated using simple trigonometry. Position of vertebra from central beam (C) equals 16.8 cm, anterior body height (z1) equals 3.15 cm, and superior and inferior endplate angles ({alpha}1) measure 4.5°. Posterior vertebral body height of projected image increases to 4.4 cm, anterior body height increases to 3.5 cm, superior and inferior endplate angles ({alpha}2) decrease to 4.35° and 4.39°, respectively. Dimensions x2, y2, and z2 refer to posterior vertebral body. β = angle from center to edge of x-ray beam.

 

Results
Top
Abstract
Introduction
Material and Methods
Results
Discussion
References
 
The mean endplate angle for T12 was 4.34° (Table 1). Therefore, the calculated normal statistical range is from -0.16° to 8.84°. The mean endplate angle for L1 was 4.48°, with a normal statistical range of 0.22-8.74° (Fig. 5). No statistical difference was seen between the two levels (p = 0.40) (Table 2).


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TABLE 1 : Measurements of Endplate Angulation at T12 and L1, Including Subset Measurements for Age and Sex

 

Figure 6
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Fig. 5 Histogram shows distribution of endplate angle measurements at T12 and L1 in 200 consecutive patients.

 

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TABLE 2 : Differences in Endplate Angulation at T12 and L1 for Age and Sex

 

In women, the mean angle at T12 was 4.12° and at L1, 4.49°. In men, the mean endplate angle at T12 was 4.5° and at L1, 4.7° degrees (Figs. 6 and 7). No significant difference was seen between men and women at either T12 (p = 0.23) or L1 (p = 0.94) (Table 2).


Figure 7
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Fig. 6 Histogram compares distribution of endplate angle measurements at T12 in men and women.

 

Figure 8
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Fig. 7 Histogram compares distribution of endplate angle measurements at L1 in men and women.

 
In the 25-year-old patients, the mean vertebral endplate angle at T12 was 4.6° and at L1, 4.44° (Table 1). In the 35-year-old patients, the mean endplate angulation at T12 measured 4.12° and at L1, 4.5° (Figs. 8 and 9). Again, no significant difference was seen in the two age groups at either T12 (p = 0.16) or L1 (p = 0.77) (Table 2).


Figure 9
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Fig. 8 Histogram compares distribution of endplate angle measurements at T12 in patients 25 and 35 years old.

 

Figure 10
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Fig. 9 Histogram compares distribution of endplate angle measurements at L1 in patients 25 and 35 years old.

 
The ICC for intraobserver reliability, which was based on the first 50 CT examinations, was 0.800 (95% CI, 0.674-0.962) for T12 and 0.794 (0.665-0.923) for L1. The interobserver reliability for all 200 measurements was 0.858 (0.794-0.923) for T12 and 0.808 (0.723-0.893) for L1. The mean difference for the two observers was 1.2° at both T12 and L1 (2 SD, 1.8°).

The interobserver reliability for the direct (ICC, 0.972; 95% CI, 0.932-0.988) and CT-derived (0.963; 0.91-0.984) measures of the dry cadaveric vertebra were very good. The correlation between the mean observed measures showed a strong correlation between direct and CT-derived endplate angle measurements (r = 0.961, p < 0.01). The Bland-Altman plot shows that the mean CT measurement is 0.8° smaller than the dry bone measurement (95% CI, -3.2° to 1.6°).

Trigonometric modeling of the alteration in endplate angulation on conventional radiography yielded the following results. The angle of the superior endplate is reduced by a maximum of 0.15°, and the inferior endplate angle is reduced by a maximum of 0.11° (Table 3).


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TABLE 3 : Trigonometric Estimate of Effect of Parallax Error During Conventional Radiography on Endplate Angulation of a Vertebra Projected Onto Edge of 42 x 35 cm Radiographic Plate

 


Discussion
Top
Abstract
Introduction
Material and Methods
Results
Discussion
References
 
The purpose of this study was to define the normal anatomic vertebral angulation that occurs at the thoracolumbar junction. CT lateral scout tomographs were used in this study for two reasons. The first is that the lateral scout CT images do not have any geometric distortion. Although a fan beam is used to obtain the image, the reconstruction algorithm corrects any anteroposterior magnification. The validity of this was confirmed using the dry bone phantom. The second reason is that for most patients in this age group, thoracolumbar CT was incidental to the primary reason for examining the patient. In contrast, radiographs and MR images of the spine almost always are of symptomatic patients.

One may argue that the sample examined is not reflective of a normal population because all patients included had an indication for a CT examination. However, by selecting patients between the ages of 25 and 35 years, it is unlikely that any would by affected by osteoporosis. We believe that in the normal population of women, vertebral morphology changes little until the menopause [1]. The lower age limit of 25 was defined to ensure that bone growth was complete, and the incidence of osteoporosis is rare in the 35-year age group. Careful selection of the criteria for CT and exclusion of abnormal findings should also have excluded those with abnormal vertebral morphology due to disease.

Selecting 2 SD is a conventional statistical description of a normal range in a normal Gaussian distribution of data. However, it has been previously highlighted that this is an artificial definition, which will mean that a few healthy patients will fall outside this range [7].

A potential selection bias may have occurred because patients were excluded for poor quality of the lateral tomographs. This process would tend to select out patients with larger body mass indexes but whose vertebral morphology may be considered entirely normal.

Despite these limitations, this sample is likely to be as close to normal as can be achieved in an analysis using clinical data. To perform normal population sample studies—that is, drawn directly from the community without any symptoms or known conditions—with radiography or MRI would not be financially or ethically viable.

The range of values for angulation of the T12 and L1 vertebrae were derived from the mean of the two observers' measurements of 200 cases. The very good intraclass coefficient for the intra- and interobserver variability suggests that this is a reliable and reproducible set of measurements. The interobserver correlation may be slightly higher than in normal clinical practice because 15 observations were repeated, and because there was a greater than 3° difference between the observers. This repetition was performed to minimize any measurement errors attributable to mistakes in counting vertebral levels and transcribing measurements. These are part of variance between observers, but the repeat measurements were performed so that most of the interobserver variability could be attributed to measurement errors only.

The results of this study differ from previous published data in several areas. Previous studies have mostly included women because of their greater propensity for osteoporosis [1, 8-10], have included fewer patients [1, 8-12], and have used different methods to evaluate vertebral body morphology [1, 8, 9, 11, 12]. Most previous methods involved measuring the relative heights of the anterior, middle, and posterior aspects of vertebral bodies [1, 8, 9, 11, 12]. Panjabi et al. [13, 14] showed similar results for vertebral angulation at T12 (4.0° ± 1.11°) but a slightly higher degree of angulation at L1 (6.7° ± 1.61°). However, their results were derived from the dry bones of only 12 individuals (mean age, 46.3 years), some of whom had significant comorbidity at death (six patients had cancer). We would argue that our sample is a better and more normal population sample. The advantages of our approach are that we have included a larger number of patients, have included both men and woman, and by using CT we have reduced as much as possible the influence of geometric distortion. Angulation of endplates is not dependent on size of the vertebra, whereas absolute height measurements may vary with sex and height of individual.

The mean angle was slightly greater in men than women at T12 and the converse was true at L1. However, neither of these is statistically significant. With mean differences at T12 of 0.4° and at L1 of 0.02°, the normal ranges for both levels and sexes are therefore very similar. These findings differ from previously published data in which men appear to consistently have a greater degree of vertebral wedging than women [15]. This discrepancy may be explained by the relatively young age of our sample group. Although wedging in the women is constant before menopause, postmenopausal women have an increased incidence relative to men of a similar age. The similarity in the measurements of vertebral wedging in our two age groups supports a recently published cadaveric study, which suggested that vertebral morphology is constant with increasing age [16].

One question that arises after taking data from a source with limited geometric distortion is whether the values for normal range of angulation can be translated into conventional radiographic images of the lumbar spine. The trigonometric modeling of the parallax effect on endplate angulation suggests that the maximum alteration is an apparent reduction in endplate angle of 0.26°. This calculation suggests that, for practical purposes, the measures derived from the lateral CT radiograph are applicable to conventional radiography of the thoracolumbar junction. This finding is supported by a previous study that concluded that cephalograms and CT scanograms are comparable for depicting angular relations of structures [17].

The results of this study indicate that measuring vertebral endplate angulation at T12 and L1 using electronic calipers is a reliable and reproducible technique. In routine practice, this would be quick and easy to do if there was any concern about the amount of angulation of the thoracolumbar vertebra after visual inspection. The sum of the normal statistical range of endplate angulation at T12 and L1 (2 SD = 8.75°), estimated geometric distortion (0.26°), and the mean interobserver differences (1.2°) is 10.2°. We would suggest that 10° might be a useful rule of thumb for the maximal statistically "normal" endplate angulation measurement from a lateral radiograph, and that measurements outside the normal range may indicate a fracture or collapse even if cortical or trabecular disruption is not visible. The converse, however, is not true; an endplate angle of less than 10° does not exclude a fracture.

In conclusion, measurement of vertebral body endplate angulation using the method described in this article is a reliable and reproducible technique. Assuming that our study sample is a normal population, the range of normal angulation is approximately 0-9° for T12 and L1. For practical purposes, a vertebral angulation of 10° or more could be considered to be outside the normal range.


References
Top
Abstract
Introduction
Material and Methods
Results
Discussion
References
 

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