Introduction

Torsional deformities of the femur have an impact on the biomechanics and forces acting in the hip and knee and play a significant role in the development of disorders of these joints [1,2,3]. Deformities of the femur have been treated with de-rotational osteotomies for many years [4, 5]. While the treatment of deformities in frontal or sagittal plane is based on well-established rules drawing on the concept of the centre of rotation of angulation (CORA) [6, 7], there are no specific treatment rules for femoral torsional deformities. Hence, disagreement still prevails on whether an osteotomy should be performed proximally or distally in patients with pathologic femoral torsion [8, 9]. Knowing the segment of the femur in which a torsional deformity is actually localized (i.e., concept of CORA) could help us in this discussion and eventually improve treatment guidelines.

Consequently, the aim of this study was to adapt and validate a recently published measurement protocol for the determination of femoral torsion, which should make it possible to detect the part of the femur in which the torsional deformity is localized, instead of measuring femoral torsion solely between the proximal and distal ends of the femur [3, 10]. It was hypothesized that this multi-level measurement protocol is a reliable tool for evaluation of the magnitude of torsion of the respective femoral segments and for differentiation of their contribution to overall femoral torsion.

Methods

After obtaining the approval of the ethics committee of the medical university a retrospective analysis of all lower limb CT scans available in our hospital’s digital patient archiving system for the period between 2007 and 2013 was performed. This covered a total of 166 multislice CTs of lower limbs performed in a helical scan technique without contrast media. The radiologic examinations with a 2.5-mm slice thickness were conducted at the level of the hips, knees, and ankles including a CT scanogram of the lower limbs. The patients were scanned in the supine position with the knee fully extended; 51 CT scans of patients with previous operations or fractures in the region of interest were excluded from this study. Of the remaining 115 cases 15 women and 15 men, in total 30 cases with a mean age of 24.8 ± 8.4 (15.1–45.3) years, were randomly selected. These 30 cases had deformities, mainly post-traumatic, on one leg and the measurements were done on the contralateral healthy side.

Parameters of femoral torsion

To allow differentiation of the torsion of the proximal and distal metaphysis as well as the diaphysis, four axes where determined. The first axis was defined by the centre of the femoral head and neck on superimposed transverse slices as described by Murphy et al. [11]: the centre head on one transverse slice was connected to the centre of an ellipse around the base of the femoral neck on another transverse slice. The centre of the lesser trochanter at its greatest prominence and the center of the femoral shaft were used as starting and end points for a line defining the second axis. The third axis was defined by a tangent to the dorsal part of the distal femur in the transverse slice just above the point of attachment of the gastrocnemius heads and the fourth axis by a tangent to the posterior condyles (Fig. 1) [3, 10].

Fig. 1
figure 1

Determination of the four axes for segmental measurement of femoral torsion. The first axis (a) is determined by the centre of the femoral head and neck, the second axis (b) by the midpoint of the femoral shaft and the lesser trochanter, the third axis (c) by a tangent dorsal to the popliteal surface just proximal to the gastrocnemius muscle, and the fourth axis (d) by a tangent posterior to the femoral condyles

The total femoral torsion was measured between the first and the fourth axis of the femur, proximal torsion between the first and the second axis, mid torsion between the second and the third axis, and distal torsion between the third and the fourth axis. A medial twist of the femur was defined as a positive, a lateral twist as a negative value.

Statistics

To evaluate the intra- and inter-rater reliability of total and segmental torsion, the 30 cases included were independently evaluated by four investigators and all measurements were repeated by each investigator after one month. For descriptive statistics the mean torsion values of each case were analyzed. Results are given as: mean ± standard deviation (range). A Shapiro-Wilk test was done to prove normal distribution and gender differences were assessed using the t-test. Inter-rater reliability (IRR) was assessed to demonstrate consistency of the measurements [12] using the intraclass correlation coefficient (ICC), which is a widely used reliability index in test-retest, intra-rater, and inter-rater reliability analyses [13]. The two way mixed ICC were calculated to evaluate the intra- (single measure) and inter-rater (single and average measures) reliability. Intra- and inter-rater agreement was graded according to Landis and Koch [14], who characterized values <0 as indicating no agreement and 0–0.20 as slight, 0.21–0.40 as fair, 0.41–0.60 as moderate, 0.61–0.80 as substantial, and 0.81–1 as almost perfect agreement.

Results

Average total femoral torsion was 22.6 ± 8.7° (10.2–42.8), proximal torsion 47.7 ± 10.6° (27.6–64.5), mid torsion −33.4 ± 9.9° (−51.5–8.2), and distal torsion 8.3 ± 3.2° (1.2–14.7) for distal torsion. Mean torsion measured in male and female subjects separately is given in Table 1. Mean total torsion was significantly greater in women than in men. Regarding segmental torsion, the greatest difference between men and women was found for proximal torsion. Gender differences were assumed and therefore not related to a hypothesis.

Table 1 Degree of femoral torsion in the 15 male and 15 female cases. Data are given as: mean ± SD (range). Differences between the two groups were assessed with the t-test

According to the Landis and Koch grading system [14], we found almost perfect intra-rater agreement for total torsion for all investigators and in three of four investigators for proximal torsion and two of four for mid torsion. The other ICCs were graded as substantial agreement. Inter-rater agreement (ICC) for average measures was found to be almost perfect for all measurements and almost perfect for total femoral torsion, proximal torsion, and mid torsion when evaluating the single measures. None of the ICC had to be graded as light, fair or moderate (detailed and inter-rater ICC values are provided in Table 2).

Table 2 Intra- and inter-rater agreement for total femoral torsion and for segmental torsion. Data given as: ICC (95% confidence interval). ICC were graded according to Landis and Koch [14]: (++) “almost perfect” (+) “substantial”

Discussion

This study confirmed our hypothesis that the segmental measurement protocol evaluating femoral torsion in CT is a reliable tool that allows segmental torsion analysis according to the anatomic segments of long bones. In addition to measuring total torsion, segmental femoral torsion was determined for the proximal metaphysis, the diaphysis, and the distal metaphysis separately. In agreement with the literature we found almost perfect intra- and inter-rater agreement for total femoral torsion measurements [15]. By calculating the ICC we were able to show that the measurement protocol introduced is a reliable tool for evaluation of segmental torsion, as we found substantial to almost perfect intra- and inter-observer agreement for all parameters.

Radiological determination of femoral torsion by means of two plain x-rays was already described by Rippstein in 1955 [16]. Later, Weiner et al. described a method for measuring total femoral torsion in CT [17]. Currently, in clinical practice total femoral torsion is determined in the transverse plane between the femoral neck (proximal femur) and the posterior condylar line (distal femur) [18]. Later, Kim et al. published a method differentiating supratrochanteric and infratrochanteric torsion in CT [19], measured between the cervical axis, an intertrochanteric axis and the condylar axis. They concluded that de-rotational osteotomies should be performed at the site of the deformity to prevent the development of another lever arm disease after correction. As a further advancement, the aim of this study was to evaluate a tool that can be used to assess the torsion of three different femoral segments in CT. The concept of segmental analysis of femoral torsion was first introduced by Seitlinger et al. [10] and its reliability was further assessed for use in CT scans in this study. Similar to our data, Seitlinger et al. already found nearly perfect inter-rater agreement. However, their data were based only on measurements in MRI [10]. The reliability of total torsion measurement in CT was evaluated in previous studies, and it was reported that depending on the method used significant differences in torsion measurements and their reliability can be found [15, 18]. Recently, Kaiser et al. reported that total femoral torsion measurements can differ by more than 10°, depending on the measurement technique used [15]. In this study we used the technique described by Murphy et al. [11], as high intra- (ICC: 0.95–0.98) and inter-observer agreement (ICC: 0.93) has been reported for this method [15]. In our collective we found mean total femoral torsion to be 22.6 ± 8.7°, which lies between the measurements published by Kaiser et al. (17.5 ± 7.0°) [15] and Sugano et al. (26.0 ± 9.1°) [18]. Compared to the controls in the study by Seitlinger et al., we found higher mean torsion values (total femoral torsion: 22.6° vs. 10.7°; proximal torsion: 47.7° vs. 29.9°; mid torsion: −33.4° vs. -27.4°; distal torsion: 8.3° vs. 8.2°) [10]. One reason for this might be the orientation and thickness of the transverse slices, while another might be that although patients with fractures of the femur were excluded, it is possible that some patients had other underlying conditions. Besides proving the reliability of this measurement protocol, we also compared mean torsion values in men and women. Total torsion was seen to be significantly greater in female femora, which is in agreement with the literature [20]. The biggest gender difference in segmental torsion was found in the proximal femur.

With regard to the question of clinical relevance, the measurement method evaluated here gives a better understanding of torsional deformities and may improve treatment planning. When only total femoral torsion is measured, no differentiation can be made for a torsional deformity located at the proximal, diaphyseal or distal aspect of the femur. This, however, could be important information when planning a derotational osteotomy. Currently, debate still surrounds the ideal site for an osteotomy, which can be performed proximally or distally [4, 8, 9, 21, 22]. If an osteotomy is performed at the site of the deformity, normal anatomy can be restored [6]. Beyond the question of correct location of derotational osteotomies, it might also be speculated whether specific segmental torsional anomalies interact with hip or knee pathologies. For example, it was shown that increased femoral torsion is associated with a flatter, more dysplastic trochlea, which can lead to patellofemoral instability. This was particularly true for torsion located on the distal femur [3].

This was the first study to prove that the measurement technique introduced can be reliably used to analyze segmental torsion of femora in CT. The following limitations are acknowledged and might also serve as suggestions for future studies: This was a retrospective study with the weaknesses associated with such studies, and we were not able to analyze for the clinical impact of differences in segmental torsion such as gait parameters or joint disorders. Second, the number of patients included was too small to determine standard values for women and men that can be applied as a threshold between physiological variances of torsion and pathological torsion. Further studies will be needed to determine normal values for the healthy population and describe gender differences in more detail. Furthermore, due to the random selection of CT scan data from the university hospital’s PACS, some patients may have had some kind of lower limb complaint. Nevertheless, a valid evaluation of reliability was possible. As only skeletally mature subjects were included, the changes in segmental torsion during growth need to be further analyzed.

Conclusion

Evaluation of the segmental torsion of the femur allows in-depth analysis of femoral alignment. High reliability was shown for this measuring method in computed tomography, which can be deployed when studying interdependencies between joint pathologies and torsional deformities or when planning the site for an osteotomy.