The axial load-share ratio in vivo as a supplemental assessment for the external xator safe removal

Background: Timing the xator removal is vital for a successful external xation treatment. The purpose of this study was to determine the effectiveness of axial load-share ratio in vivo as a supplemental decision support tool for the safe removal of an Ilizarov external xator. Methods: This prospective observational study consists of 83 patients undergoing tibial or femoral lengthening with Ilizarov circular external xation in our institution, from January 2011 to October 2019. In group (cid:0) (38 patients), the external xator was removed based on the surgeon’s clinical experience and radiographs from January 2011 to June 2015. In group (cid:0) (45 patients), from July 2015 to October 2019, the supplemental axial load-share (LS) ratio test was accomplished without the knowledge of the clinical results by another medical team. When the LS ratio < 10% was consistent with the conclusion (dense bone formation was achieved in the distraction zone) drawn from the corresponding routine radiographs by the treating surgeon, the external xator was removed. Results: There was no statistical signicance in demographic data between the two groups (P>0.05). In group (cid:0) , 4 of the 38 patients suffered refracture (the refracture rate was 10.5%) after xator removal, and bone union was nally achieved with further intervention by intramedullary nail. In group (cid:0) , 36 patients terminated the external xation after the rst mechanical test, and another 9 patients terminated the external xation at the subsequent test. None of the 45 patients in group (cid:0) suffered refracture (the refracture rate was 0%). There was statistical signicance in the refracture rate between the two groups (P<0.05). Conclusions: Adequate assessment of bone regenerate is crucial before removing an external xator to prevent deformation or refracture. The axial load-share ratio in vivo is a practically quantitative method to supplement radiography and clinical experience for the assessment of regenerate healing, and the axial load-share ratio dropped below 10% is a safe limit for the Ilizarov external xator removal.


Background
The treatment of massive bone defects, infected nonunion, limb deformity, and high-energy fractures with signi cant soft tissue damage where internal xation is impossible or inadvisable is a challenge for orthopedic surgeons. The external xator has played an important role in managing these complex problems [1][2][3][4][5]. During this treatment, information about the healing process is necessary to adjust patient's load-bearing capacity and the time for removing the external xator.
Most patients wish to remove the external xator as early as possible due to the inconvenience of wearing the device. Early removal of the external xator introduces the risk of deformation or refracture, but infection or limitation of joint motion is increased if removal is delayed. Therefore, the most critical decision in the process of external xation is when to remove the external xator [6]. Traditional assessment of bone healing is usually performed by radiographs in two planes, and strongly depends on the surgeon's clinical experience [7] which is an imprecise guide [8]. Additionally, these radiographs only allow qualitative assessment of new bone formation and lack quantitative information, thus providing limited guidance for the decision of xator removal [9]. An objective, quantitative and easy method for monitoring bone healing is needed to prevent unnecessary long treatments or incorrect timing of the xator removal.
However, these techniques may involve large radiation doses. The high correlation between the stiffness of the bone regenerate and its strength contributed to stiffness measurements in the quantitative evaluation of load-bearing capacity [13]. Aarnes et al. designed a system for in vivo testing of axial stiffness in regenerate tissue, concluding that the external xator can be removed safely when the loadshare (LS) ratio dropped below 10% [14]. The theoretical basis of this method is that an externally applied load is shared between the xator and the regenerating bone; the amount of load carried by the regenerate depends on its axial stiffness which increases with advanced mineralization. By measuring the force in the xator while applying a known external load to the limb, the load-share ratio between xator and limb can be assessed.
Therefore, the purpose of this article was to evaluate the effectiveness of axial load-share ratio in vivo as a supplemental decision support tool for the safe removal of Ilizarov circular external xator in our clinical cases.

Methods
First of all, we retrospectively collected a group of 38 patients (group ) undergoing tibial or femoral lengthening with Ilizarov external xation in our institution, from January 2011 to June 2015, including 31 males and 7 females with a mean age of 38 years (range 19 to 63 years). The external xator was removed depending on the traditionally radiological and clinical assessment by the treating surgeon (dense bone formation was achieved in the distraction zone).
Starting in July 2015, we focused on a new assessment method (axial load-share ratio in vivo) of the strength of the regenerate bone and ultimately to assist in the determination of when it is appropriate to remove the frame. 45 patients (group ) undergoing tibial or femoral lengthening with Ilizarov circular external xation in our institution were prospectively collected, from July 2015 to October 2019, including 40 males and 5 females with a mean age of 41 years (range 21 to 62 years). In this group, according to the mathematical analysis and clinical conclusion of Aarnes et al. [14], the external xator was removed when the conclusion (LS ratio < 10%) that drawn from the mechanical test by another medical team is consistent with the radiographs and clinical assessment by the treating surgeon.
All the 83 patients were treated by the same team. Patients with poor compliance, age > 65 years, and any other illness that can affect bone healing (such as diabetes, hypertension, osteoporosis, kidney disease, etc.) were excluded. Informed consent was obtained from all patients for their data to be recorded and published in our study. The Ethical Committee of our institution approved this study.

Theory Of Mechanical Test
According to Aarnes et al. [14], the amount of load carried by the regenerate is proportional to its stiffness. The load-share ratio, which is assessed by the external load and the force in the xator, is de ned as the compressive force in the xator rods divided by the applied external load. The external load is transferred completely through the xator when the regenerate stiffness is zero, and the LS is 100%. Subsequently, the LS decreases as the regenerate gradually stiffens due to a larger amount of the load is carried by the new bone. The load-share ratio, therefore, is an indirect and objective index about the load-bearing capacity of the regenerate.
The externally applied load is de ned as F in the present study, shared between the xator (F1) and the regenerate (F2), respectively. The load carried by the xator is obtained by adding the carried load of each xator rod measured by the force sensors. In this simpli ed model, F1 is shared equally between the rods based on the assumption that the system is symmetric both vertically and horizontally. (Fig. 1) Therefore, the de nition of load-share is Device For Force Measurement The complete device to measure forces consisted of three dismountable force sensors (maximum load of 1000N, HYLY-019, Bengbu Hengyuan Sensor Technology Co., China) on the xator rods, a custom-made A/D converter, a force platform (maximum load of 1200N, RGZ-120, Jiangsu Suhong Medical Instrument Co., China), and a customized computer software. The force sensor on each xator bar is used to measure the force carried by the xator; the output signals are processed and wirelessly transmitted to the computer software through the A/D converter. The external load is equal to the ground reaction force and measured by the force platform. The customized computer software performs the analyses and records the data. (Fig. 2) A material test machine (BOSE Electroforce 3150, USA) was used to calibrate the force sensors and evaluate the effectiveness of the complete device. (Fig. 3)

Clinical Application
The external xator was planned to be removed based on the treating surgeon's clinical experience and radiographs in which su cient consolidation of the distraction zone (dense bone formation) was achieved. Simultaneously, the axial load-share ratio test was accomplished by another medical team without the knowledge of clinical results.
In the test procedures, the force sensors are attached to a separate set of rods and then temporarily connected between the rings in the xator. Three bars with sensors are su cient to keep the system stable; the original rods are still in place, but loosened and bypassed by bars with sensors. The measuring bars took over the xator load completely during the measurements, including inherent stresses of the bone-soft-tissue-xator mounting. To measure the relative change in force, the load-cells were zeroed before the test, and then the carried load is saved and appeared by the computer software. Both the force platform and the force sensors are sensitive to axial force only, and the load-share is thereby the ratio between axial load in the xator and the regenerate. The evaluations were performed with the Excel program (Microsoft). The original rods were reattached, and rods with the embedded sensors were removed after the mechanical test.
Static and dynamic tests were performed respectively during the procedures. The static test was conducted by loading the limb with a known force (full weight bearing or external compressive force within 300N, according to our usual clinical practice), and the investigator must take care that the patient was relaxed during the procedure to minimize the effect of muscle activity (Fig. 2b). For the dynamic test, the full-body weight was distributed between force through the xator and the regenerate during the gait. Subsequently, the force changes were captured, and the mean value in each cycle was calculated when the patient was walking (Fig. 4). For an accurate measurement, the static and dynamic tests were conducted three times to obtain the mean valid forces.
When the conclusion drew from the mechanical test (LS ratio < 10%) is consistent with the decisions of the treating surgeons made on the basis of the corresponding routine radiographs (dense bone formation was achieved), the external xator was dynamized involving gradual loosening on rods and weightbearing on loose rods and then be removed. If not, continuing treatment in the xator and a mechanical test was performed every two weeks.
All patients were put on the functional brace for 4-6 weeks to prevent refracture after xator removal.
They were warned to use the injured limb only as much as necessary and report any adverse events or symptoms. Furthermore, review and radiographs two weeks later after frame removal were routinely conducted. All patients were followed up for at least 12 months.

Statistical analysis
Statistical analysis was performed with the SPSS 22.0(IBM Corp, USA). Continuous variables were expressed as the mean and range, and analyzed by Independent-samples T-tests. The count variables were analyzed by the Chi-square or Fisher's test, expressing as number. Statistical signi cance was set at P < 0.05.

Results
The complete device was capable of measuring the axial load-share. The demographic data of the two groups are shown in Table 1, and there was no statistical signi cance (P > 0.05). However, for the refracture rate, a statistically signi cant difference was observed between the two groups (P < 0.05). In group , the mean lengthening size was 5.8 cm (range 3 to 12 cm), and the mean external xation time was 37.0 weeks (range 26 to 63 weeks). Four patients suffered refracture after frame removal, and the refracture rate was 10.5%. Bone union was nally achieved with further intervention by intramedullary nail.
In group , the mean lengthening size was 5.9 cm (range 3 to 11 cm). None felt any discomfort during the testing procedures. Thirty-six patients showed axial load-share ratio below 10% (range 0.7-9.1%) at the rst test and underwent xator removal. Another 9 patients who showed axial load-share ratio exceed 10% (range 10.5-15.2%) got continuing treatment in the external xator at the rst test (More details are shown in Table 2). After a mean time of 3.6 weeks (range 2 to 6 weeks), the external xators were safely removed when the axial load-share ratio below 10% (range 2.6-8.9%). The mean external xation time of  Of all the methods for achieving long bone healing, one alternative is to use an external xator to restore the original stiffness and the mechanical stability of the bone. The external xation is mainly responsible for load transfer through the injured bone and creates a suitable mechanical environment for bone regenerate [17]. The device acts as a mechanical bridge, allowing partial recovery of the load transfer through the injured member and decreasing the interfragmentary movement.
Leaving the external xator for longer than necessary would lead to various complications, such as limitation of joint motion due to contracture. As early as 1983, Terjesen et al. [18] concluded that there was a stress-protecting effect of the xation frame on the bone, and the external xation should be removed as soon as the fracture healed to avoid this effect. However, premature removal of the frame also leads to severe complications, including fracture or axial bending at the callus. Ilizarov himself also remarked that "leaving the apparatus on for longer than necessary is as harmful as removing the xator too early" [19]. Therefore, choosing an appropriate time to remove the external xator is essential for successful treatment.
Several imaging modalities have been proposed to estimate the status of the regenerative callus tissue, such as high-resolution magnetic resonance [20,21], quantitative ultrasound [22], dual-energy X-ray absorptiometry (DEXA) [11], and quantitative computed tomography (QCT) [12,23]. However, these alternative methods may involve large radiation doses, be restricted by cost and availability, or have not been assessed adequately for reliability. Besides, Fischgrund et al. [24] speci ed the presence of three of the four cortices of a minimum 2 mm thickness as a guideline for removing the xator, and they presented a re-fracture rate of only 3%; while Starr et al. [25] attributed the good results obtained by Fischgrund et al. [24] to the better clinical judgment of an experienced surgeon involved in decision making, rather than the radiographic criteria demonstrated in their study. Hazra et al.
[26] made a retrospective study of 70 patients to compare the BMD ratio and pixel value ratio, concluding that pixel value ratio is a good method for assessing callus stiffness as well as judge the timing of xator removal, while the inherent limitation is that the pixel value is easily affected by the presence of metal in the vicinity of the point of measurement. Brie y, none of the aforementioned methods has acquired gold standard status.
As generally accepted, orthopedics is both a visually and mechanically oriented discipline, and the skeleton is a load-bearing structure. Resistance to deformation is a fundamental property of a structure and is de ned as its stiffness, which seems to be an appropriate measure of bone regenerate. As Goodship et al. [27] showed, there was an increase in stiffness and stability of regenerated bone after fracture healing during time progression. Information on the rate of increase of the mechanical properties of a healing bone is therefore valuable in determining both the rate at which a fracture will heal and in helping to de ne an objective and measurable endpoint of healing. As early as 1972, Jorgensen[28] described a mechanical method of measuring the bone de ections during load bending to measure the de ection on Hoffmann-treated crural fractures. Subsequently, clinical in vivo applications of mechanical measurements in fracture healing have been published.
Richardson et al. [29] measured fracture stiffness in 212 patients with tibial fractures treated by external xation, considering that stiffness of 15 Nm/degree in the sagittal plane provides a useful de nition of the union of tibial fractures. Wade et al. [30] studied the progression of healing in 103 unstable fractures of the tibia, advocating that fracture stiffness should be measured in two orthogonal planes when assessing tibial healing and suggesting that values above 15 Nm/ degree in two planes indicate to remove the xator safely. These studies are all concentrated on the direct measurement of callus stiffness, which allows a good estimation of the load capacity of the healing bone; however, this method is limited by the removal of the xator for each measurement. Furthermore, in the early phase of bone healing, it is impossible to remove the xation device due to the potential risk of losing the reduction under loading. This procedure is thereby only applicable for the later phases.
For clinical applications, however, most often, only the deformation in the longitudinal axis of the bone was measured. Another possibility to measure the load sharing between bone and xator is the integration of a load cell in the xator body. Evans et al. [31] developed a transducer that been tted to the support column of an external xator to determine the stiffness during the healing process. Seide et al. [32] described a hexapod system that can be used for measuring axial and shear forces as well as torsion and bending moments in the xator in vivo, concluding that the measured values enabled both the type of fracture to be determined as well as the monitoring of the healing process. Aarnes et al. [14] presented an in vivo test for assessment of regenerate axial stiffness after the distraction phase of lengthening therapy. In their clinical trial of 22 individuals with tibia1 lengthening, the xator was removed when the load-share ratio dropped below 10%, and none experienced refracture. Therefore, they drew the important conclusion that the external xator can be removed safely when the load-share ratio dropped below 10%.
Recently, Mora-Macias et al. [33] performed a bone transport experiment in sheep, the forces through the xator evolution were measured, and the callus stiffness was estimated from these forces. Their data complement previous experimental and computational works. They also concluded that the force and stiffness data together with conventional methods such as radiographs might contribute to know exactly when the limb stiffness is recovered while the xator is implanted, or estimate the optimum time when the xator should be retired.
Refracture after the frame removal was one of the few major complications reported by De Bastiani when the external xation was used, affecting 3% of patients [34]. Others have reported rates of 6% [35] and 9.4% [36]. In the present study, we conducted the axial load-share test in 45 patients (group ) who underwent Ilizarov circular external xator treatment in the lower extremity and the evaluation criteria of Aarnes et al. [14] were continuously used. With a mean of 17.3 months follow-up, there was none experienced refracture after removing the external xator with an axial load-share ratio less than 10%. While in group , the frame was removed just depending on the traditionally radiological and clinical assessment. 4 of the 38 patients suffered refracture after the frame removal, and the refracture rate was 10.5%. There was statistical signi cance in the refracture rate between the two groups. The results manifested that the mechanical test as a supplement to radiography for evaluating the regenerate healing made the xator removal safer.
The regenerate healing is generally de ned as the reconstruction of the bony biomechanical characteristic. For bone union assessment, it is traditionally evaluated using imaging modalities that cannot provide related biomechanical information. There were 9 patients that the treating surgeon had decided to remove the frame in group , but the mechanical test has overruled this decision in this study. After a period of time, the external xator was safely removed based on the axial load-share ratio dropped below 10%. We, therefore, speculate that it may due to the biomechanical properties of the regenerated bone itself were not completely recovered, but the radiographs provided inaccurate healing information.
Aarnes himself also emphasized that "A small bone bridge may carry a signi cant load and therefore cause a low LS ratio without the bone being completely healed" [14]. Therefore, they suggested that radiographs must be taken to assess the geometry of the new bone. For our experience, the radiographs, load-share tests, and clinical experience complement each other in evaluating regenerate healing. A prudent attitude and comprehensive assessment should be adopted regarding the removal of an external xator. We also advocate that the LS ratio should be measured in both static and dynamic tests when assessing regenerate healing for more excellent safety.
The axial load-share test provides an objective assessment of bone regenerate, including potential advantages of fewer radiographic images taken (lower cost) and a lower ionizing radiation dose. There is no need to remove the xator when this indirect and non-invasive method was performed. It is possible to measure the load sharing and indirect callus stiffness even from the rst day postoperatively without the likelihood of fracture, malunion, and pseudarthrosis. Furthermore, the total device is price-friendly and manufacture-simply. This technique does not involve complex procedures and electronic devices that remain for a long time or even forever in patients. There are potential chances for its wider use in most fracture clinics, as it supplements radiography and clinical experience and makes us safer while removing the xator.
The present study had several limitations. Firstly, considering its relatively small sample size in a single center, a prudent attitude should be adopted to interpret the potential greater risk of refracture if the xator was removed based on clinical assessment only. Furthermore, this method is concentrated on the axial load because the sensors are sensitive to axial force only; the clinical application thereby may be limited by the spatial structures of the external xator, such as the hexapod external xator, which contains multi-directional forces in each rod. Additionally, other tests are required to determine whether there is another preferable limit of LS ratio for regenerate healing assessment.

Conclusion
Adequate assessment of bone regenerate is crucial before removing an external xator to prevent deformation or refracture. The axial load-share ratio in vivo is a practically quantitative method to supplement radiography and clinical experience for the assessment of regenerate healing, and the axial load-share ratio dropped below 10% is a safe limit for the Ilizarov external xator removal.
Abbreviations LS: load-share DEXA: dual-energy X-ray absorptiometry QCT: quantitative computed tomography Declarations Ethics approval and consent to participate All methods in this study were carried out in accordance with the Declaration of Helsinki. This study was approved by the Ethics Committee of The First A liated Hospital of Xinjiang Medical University. Written informed consent was obtained from all patients for their data to be recorded in our study.

Consent for publication
Informed consent was obtained from all patients for their data to be published in our study.

Availability of data and materials
The datasets analysed during the current study are available from the corresponding author on reasonable request. Three-dimensional diagram of the injured limb and external xator with force sensors. F is the total force applied externally on the injured limb. F1 is the force shared between the xator rods, and F2 is the load carried by the regenerate.  Dynamic tests of the axial load-share. a Installation of the measuring device. b Continuous recording of the data while the patient is walking. c Periodic variation of the force carried by the external xator during the gait.

Figure 5
Images of a 20-year-old male patient with limb discrepancy in right femur treated by the circular external xator using Ilizarov distraction osteogenesis technique. a The initial radiograph manifests the limb discrepancy (9cm) in the right femur. b Radiograph immediately after the target length is achieved. c Bone lengthening was completed with good regenerate consolidation before the removal of the external xator. d General appearances during the mechanical test, and the axial load-share ratio is 6.5%.