Rotation Of Plane Research Articles

The Impact of Posterior and Posterior Superior (PPS) Labral Injuries and The Effect of Their Treatment on Glenohumeral Kinematics in the Deceleration and Follow-Through Phase of Throwing: A Biomechanical Study.

Combined posterior and posterior superior (PPS) injuries (6:30-12:00; right shoulder) have a much higher incidence than isolated superior labral anterior to posterior (SLAP) injuries (11:00-1:00; right shoulder). However, it is unclear how PPS injuries affect glenohumeral (GH) biomechanics and how they should be treated. This study evaluated if: (1) PPS injuries alter GH kinematics and joint characteristics; (2) standard repair techniques restore GH kinematics and contact characteristics towards their intact state; (3) there are differences between repair techniques. Ten fresh-frozen male cadaveric shoulders (61.4 ± 5.7 years) without pre-existing shoulder pathology were evaluated using a custom shoulder testing system. After a PPS injury was created, a posterior repair technique reattached the labrum from 6:30 to 10:00, while a subsequent posterior superior repair technique included an additional anchor at 11:00. The shoulder was placed in 90 degrees of abduction and tested in the scapular plane at 10, 20, 30 and 40 degrees of horizontal adduction in the scapular plane at both 30 and 60 degrees of external rotation using a deceleration load and two posteriorly directed unbalanced muscle loading conditions. These positions were chosen as they would occur during the deceleration and follow through phases of pitching. All measurements were performed for the following conditions: intact; PPS injury; posterior repair; and posterior superior repair. Humeral head (HH) position, glenohumeral translation, and glenohumeral contact area and pressure were measured. PPS injuries alter GH kinematics and GH joint contact characteristics. There was significant posterior translation of the HH in multiple positions of horizontal adduction in the scapular plane and GH rotation in both muscle imbalance conditions, significant decreases in joint contact area, and increases in joint contact pressure. Repair of PPS injuries by both repair techniques resulted in HH anterior and superior translation towards the intact state in multiple positions of horizontal adduction and GH rotation, increased joint contact area, and decreased joint contact pressure. Compared to posterior repairs, posterior superior repairs resulted in significantly increased non-physiologic anterior and inferior HH translation in relation to the intact state. The PPS injury produces alterations in GH kinematics with implications for GH joint instability, increased GH joint loading, and potential joint damage. The posterior labral repair restores HH kinematics closer to intact, while the addition of a posterior superior repair induces significantly increased non-physiologic anterior and inferior HH translation at multiple positions of adduction and IR.

Patient-specific implants combined with 3D-printed drilling guides for corrective osteotomies of multiplanar tibial and femoral shaft malunions leads to more accurate corrections

PurposeThe aim of this study was to evaluate the feasibility of using patient-specific implants (PSI) for complex shaft corrective osteotomies in multiplanar deformities of long bones in the lower extremities. Additionally, it aimed to investigate the added value of these implants by quantifying surgical accuracy on postoperative CT, comparing their outcomes to two commonly used techniques: 3D virtual visualizations and 3D-printed surgical guides.MethodsSix tibial and femoral shaft corrective osteotomies were planned and performed on three Thiel embalmed human specimen. Depending on the specimen a different respective technique was used; 1) ‘3D Visualization’ using 3D virtual plan preoperatively and free-hand corrective osteotomy techniques with standard manually contoured plates; 2) ‘3D guided’ utilizing 3D surgical guides and manually contouring of conventional implant; and 3)‘3D PSI’ utilizing a 3D surgical guide with a patient-specific implant. Accuracy of the corrections was assessed through measurements for varus/valgus angulation, ante/recurvation, rotation and osteotomy plane error as quantified on postoperative CT-scans.ResultsTwelve corrective osteotomies were performed. For, the median difference between the surgical plan and postoperative CT assessment was 3.4°, 4.6°, and 2.2° for the ‘3D visualization’, ‘3D guided’, and ‘3D PSI’ methods respectively. Regarding ante/recurvation, the differences were 3.8°, 43.8°, and 1.2°, respectively. For rotation, the differences were 11.9°, 18.7°, and 3.5°, respectively. Discrepancies between planned and executed levels of osteotomy plane were 6.2 mm, 3.2 mm, and 1.4 mm, respectively.ConclusionPSIs with 3D-printed drilling guides for complex multiplanar corrective osteotomies of femoral and tibial shaft malunions is feasible and achieves accurate corrections. This technique enables precise determination of the osteotomy plane, guides correction in all three planes, and ensures satisfactory implant fitting; thus accurately translating the virtual surgical plan into clinical practice. The 3D PSI method is beneficial for complex cases with significant multiplanar deformities in bone anatomy, particularly with rotational malalignment.

Prevalence of maxillary gingival recession in patients with occlusal plane rotation

Relevance. Gingival recession is a periodontal condition characterized by the apical displacement of the gingival margin and subsequent root surface exposure, which may remain stable or progress over time. This study aimed to assess the prevalence of gingival recession in the maxilla of patients with occlusal plane rotation. The authors present findings on the gingival margin status of maxillary teeth in individuals with transverse occlusal plane rotation.Materials and methods. The gingival margin status of 106 patients with transverse occlusal plane rotation in the maxilla was evaluated. Facial photometry was performed, and the angle of occlusal plane rotation was identified using rapid diagnostic techniques. The Miller classification system was employed to assess the severity of gingival recession.Results. The analysis of gingival recession prevalence on the lateralized sides of the maxillary dental arch revealed a clear correlation between the gingival margin status and the occlusal plane tilt angle. At lower tilt angles, gingival recession corresponded to Miller Class I and was primarily observed on the high side (Supra Latus) of the tilt, particularly in the canine and premolar regions. As the tilt angle increased, Miller Classes II and III were more frequently noted, with recession predominantly occurring in the canine and premolar regions on the low side (Infra Latus). No cases of Miller Class IV gingival recession were observed among the participants.Conclusion. The severity of gingival recession was directly correlated with the occlusal plane tilt angle: a greater tilt angle was associated with more severe recession, as classified by the Miller system. The findings indicate that gingival recession is more prevalent in the canine and premolar regions on the Supra Latus side compared to the Infra Latus side and occurs more frequently in these regions than in other tooth groups.

Balance recovery and its link to vestibular agnosia in traumatic brain injury: a longitudinal behavioural and neuro-imaging study

BackgroundVestibular dysfunction causing imbalance affects c. 80% of acute hospitalized traumatic brain injury (TBI) cases. Poor balance recovery is linked to worse return-to-work rates and reduced longevity. We previously showed that white matter network disruption, particularly of right inferior longitudinal fasciculus, mediates the overlap between imbalance and impaired vestibular perception of self-motion (i.e., vestibular agnosia) in acute hospitalized TBI. However, there are no prior reports tracking the acute-longitudinal trajectory of objectively measured vestibular function for hospitalized TBI patients. We hypothesized that recovery of vestibular agnosia and imbalance is linked and mediated by overlapping brain networks.MethodsWe screened 918 acute major trauma in-patients, assessed 146, recruited 39 acutely, and retested 34 at 6 months. Inclusion criteria were 18–65-year-old adults hospitalized for TBI with laboratory-confirmed preserved peripheral vestibular function. Benign paroxysmal positional vertigo and migraine were treated prior to testing. Vestibular agnosia was quantified by participants’ ability to perceive whole-body yaw plane rotations via an automated rotating-chair algorithm. Subjective symptoms of imbalance (via questionnaires) and objective imbalance (via posturography) were also assessed.ResultsAcute vestibular agnosia predicted poor balance recovery at 6 months. Recovery of vestibular agnosia and linked imbalance was mediated by bihemispheric fronto-posterior cortical circuits. Recovery of subjective symptoms of imbalance and objective imbalance were not correlated.ConclusionVestibular agnosia mediates balance recovery post-TBI. The link between subjective dizziness and brain injury recovery, although important, is unclear. Therapeutic trials of vestibular recovery post-TBI should target enhancing bi-hemispheric connectivity and linked objective clinical measures (e.g., posturography).

Path integral Monte Carlo in a discrete variable representation with Gibbs sampling: Dipolar planar rotor chain.

In this work, we propose a path integral Monte Carlo approach based on discretized continuous degrees of freedom and rejection-free Gibbs sampling. The ground state properties of a chain of planar rotors with dipole-dipole interactions are used to illustrate the approach. Energetic and structural properties are computed and compared to exact diagonalization and numerical matrix multiplication for N ≤ 3 to assess the systematic Trotter factorization error convergence. For larger chains with up to N = 100 rotors, Density Matrix Renormalization Group calculations are used as a benchmark. We show that using Gibbs sampling is advantageous compared to traditional Metropolis-Hastings rejection importance sampling. Indeed, Gibbs sampling leads to lower variance and correlation in the computed observables.

A review of methods for mapping 3D rotations to one-dimensional planar rotations: analysis, comparison, and a novel efficient Quaternion-based approach

A review of methods for mapping 3D rotations to one-dimensional planar rotations: analysis, comparison, and a novel efficient Quaternion-based approach

Penataklasanaan Fisioterapi pada Kasus Faciitis Plantaris Dextra dengan Modalitas Ultrasound dan Terapi Latihan di RS Cahya Kawaluyan

Plantar Fasciitis is heel pain caused by inflammation of the muscle membrane of the soles of the feet called the plantaris fascia. The plantar fascia is located on the surface of the sole of the foot, extending from the calcaneus towards the toes. To determine the implementation of Physiotherapy in reducing pain, increasing muscle strength, and increasing the Scope of Joint Movement in cases of Plantar Fasciitis Dextra using Ultrasound (US) modalities and exercise therapy. After 6 treatments using VAS, it showed a decrease in movement pain from T1 with a value of 3.5 to T6 with a value of 1, a decrease in tender pain from T1 with a value of 6 to T6 with a value of 2, while for silent pain T1 to T6 the value was 0. There was an increase in strength. T1 plantar flexion muscle is worth 4 to T6 is 5, T1 is 3 to T6 is 5, T1 eversion muscle is 3 to T6 5, T1 inversion muscle is 3 to T6 is 5. There is an increase in the range of motion of the ankle joint in the sagittal plane T1 : 150-00-200 becomes T6 : 200-00-350, in the rotation plane T1-T6 : 300-00-200.Ultrasound (US) can help reduce pain and reduce muscle tension. Exercise therapy can increase muscle strength, reduce stiffness and increase joint range of motion.

Stellar Bars Form Dark Matter Counterparts in TNG50

Dark matter (DM) bars that shadow stellar bars have been previously shown to form in idealized simulations of isolated disk galaxies, but have yet to be studied in a fully cosmological context. In this work, we analyze a population of disk galaxies within the TNG50 simulation to determine the characteristics of their dark bars. We estimate bar strength and orientation using both the in-plane Fourier A 2 density moments and the quadrupolar coefficients of the spherical harmonic basis function expansions of the density. We additionally present two novel methods for measuring the bar pattern speed Ω p and rotation axis orientation using these coefficients, and apply them to one sample galaxy located in a TNG50 subbox. Consistent with isolated simulations, DM bars are shorter than their stellar counterparts and are 75% weaker in A 2. DM bars dominate the shape of the inner halo potential and are apparent in the time series of quadrupolar coefficients. In our selected subbox galaxy, the stellar and dark bars remain co-aligned throughout the last 8 Gyr and have identical Ω p . Pattern speed Ω p evolves considerably over the last 8 Gyr, consistent with torques on the bars due to dynamical friction and gas accretion, and is seen to increase following a merger at t lb = 1.5 Gyr. Rather than remaining static in time, the bar rotation axis displays both precession and nutation possibly caused by torques outside the plane of rotation. We find that the shape of the stellar and DM mass distributions are tightly correlated with Ω p .

A continuous plane of polarization rotator and detector based on the liquid crystal Θ-cell

Modulation of the polarization state of optical beams is crucial in advanced optical applications such as polarization microscopy, polarization rotation, and medical imaging. We demonstrate a continuous polarization rotator (PR) by utilizing the liquid crystals (LC) in Θ-cell configuration comprising of circular and parallel alignment of LC on two aligning glass substrates. A rotation of plane of polarization (PoP) up to ∼ 160˚ is observed using Stokes polarimetry. This is further substantiated by the mathematical analysis using Mueller matrix formalism. Further, the device is demonstrated as a PoP detector with high precision detection angle. The PoP is analyzed through single-shot imaging of the intensity distribution of transmitted light through the LC Θ-cell.

A Conjugate Linearly Polarized Light Wave Along an Optical Fiber with the Berry Phase Model and Its Magnetic Trajectories According to the Conjugate Frame

In this article, we study how a linear polarized wave that is going along an optical fiber works, which is known not only as a curve on a Lie group but also as a rotation of the polarization plane. What we are trying to show in this article is that linear polarized light waves (PLWs) are related to the Berry phase. Moreover, we give magnetic curves created by N traveling in the electromagnetic trajectories and the optical fiber generated by the electric field N of the PLW moving through the optical fiber. With this described method, we present a mathematical model to conveniently generate the relationships between an optical fiber and the optical angular momentum in a three-dimensional Lie group. The conjugate frame we used in this article removes unnecessary bending around the tangent and enables a more dynamic characterization, which can still be applied even when the second derivative of the curve is zero.

Penataklasanaan Fisioterapi Pada Kasus Tennis Elbow Sinistra dengan Modalitas Transcutaneous Electrical Nerve Stimulation (TENS) dan Hold Relax Exercise di RSUD Ciereng Subang

Tennis Elbow is the formation of abnormal tissue in the wrist extensor muscles which occurs due to inflammation due to excessive contraction. To determine the implementation of Physiotherapy in reducing pain, increasing muscle strength, increasing the Scope of Joint Movement and increasing functional ability and preventing contractures in Tennis Elbow Sinistra cases using Transcutaneous Electrical Nerve Stimulation (TENS) and Hold Relax Exercise modalities. After 6 treatments using VAS, it showed a decrease in movement pain from T1 with a value of 6 to T6 with a value of 3, a decrease in tender pain from T1 with a value of 5 to T6 with a value of 3, while for silent pain T1 to T6 a value of 0. There was an increase in strength. muscles using MMT, namely elbow extension muscle T1 worth 4 to T6 worth 5, elbow flexion muscle T1 worth 3 to T6 worth 5, supination muscle T1 worth 3 to T6 5, pronation muscle T1 worth 3 to T6 worth 5, wrist extension muscle T1 value 4 becomes T6 value 5, while the wrist, radial and ulnar flexion muscles are normal, namely T1 value 5 and T6 value 5. There is an increase in the range of motion of the joints by measuring using a Goneometer, namely in the elbow joint in the sagittal plane T1: 00-00-1450 becomes T6 : 00-00-1500, in the rotation plane T1 : 900-00-700 becomes T6 : 900-00-800, and in the sagittal plane wrist joint T1 : 400-00-500 becomes T6 : 500-00-600, while in The frontal plane is normal, namely T1: 200-00-300 becomes 200-00-300. Transcutaneous Electrical Nerve Stimulation (TENS) can help reduce pain and reduce muscle tension, Hold Relax Exercise can increase muscle strength, reduce stiffness and increase joint range of motion and can help improve functional ability.

Acousto-Optic Cell for Controlling Rotation of the Polarization Plane of Linearly Polarized Optical Radiation

Acousto-Optic Cell for Controlling Rotation of the Polarization Plane of Linearly Polarized Optical Radiation

Kinematic differences between female national and provincial athletes in the tennis serve.

Tennis, the second-largest ball game in the world, has a particularly wide audience. To date, little research has been conducted on the biomechanics of female serves. The purpose of this study was to capture the key moments by using 1,000 frames/s high-speed video analysis, to analyze the kinematics of the serving techniques of national athletes and provincial athletes, to determine the differences between the two levels of athletes, and to provide theoretical references for the improvement of scientific training level. Ten female athletes were selected as participants for this study, five of whom are national athletes, and the other are provincial athletes. Three-dimensional filming techniques were employed to capture videos of the first and second serve techniques. Simi Motion was applied to obtain the 3D kinematic data. Statistical analyses were performed using IBM SPSS Statistics 27.0, and Mann-Whitney U tests were conducted to determine differences between groups. Significant differences in kinematics were found between national and provincial athletes. At the moment of the left knee's minimum flexion (T2), in the first serve, national athletes had a smaller shoulder-hip vertical plane angle (-18.281 ± 6.142° vs. -25.631 ± 3.497°; p = 0.047) and a larger hip vertical plane rotation angle (-9.378 ± 4.263° vs. -0.470 ± 4.724°; p = 0.047). In the second serve, national athletes had a smaller hip horizontal plane rotation angle (-1.720 ± 4.683° vs. 24.146 ± 24.014°; p = 0.047) but a larger hip vertical plane rotation angle (-11.553 ± 1.949° vs. -0.422 ± 4.958°; p = 0.009). At the moment of impact (T4), in the second serve, national athletes' batting position (0.296 ± 0.088 m vs. 0.446 ± 0.094 m; p = 0.047) was further back. Additionally, in the second serve, national athletes consistently had their body center of gravity further back at T2 (-0.106 ± 0.052 m vs. -0.018 ± 0.048 m; p = 0.028), T3 (0.002 ± 0.038 m vs. 0.132 ± 0.039 m; p = 0.009), and T4 (0.073 ± 0.050 m vs. 0.217 ± 0.034 m; p = 0.009). The results of this study indicated several significant kinematic differences between national and provincial athletes, these variations were noted in the shoulder, hip, and body center of gravity. In summary, for the overall first and second serves, it is recommended that national athletes increase the horizontal plane angle of the shoulders and hips at T2, whereas provincial athletes decrease the horizontal plane angle of the shoulder-hip. In addition, provincial athletes need to increase the vertical plane angle of the hip joint, so that the top of the hip can be increased more, and provincial athletes need to be careful not to have the center of gravity too far in front of the body at T2, T3, and T4, so that it can hit the ball at a higher position to increase the swing speed.

Nutation-orbit resonances: The origin of the chaotic rotation of Hyperion and the barrel instability

While numerous planetary and asteroid satellites show evidence for non-trivial rotation states, none are as emblematic as Hyperion, which has long been held as the most striking example of chaotic spin-orbit evolution in the Solar System. Nevertheless, an analytically tractable theory of the full 3D spin-orbit dynamics of Hyperion has not been developed. We derive the Hamiltonian for a spinning axisymmetric satellite in the gravitational potential of a planet without assuming planar or principal axis rotation and without averaging over the spin period. Using this model, we demonstrate the emergence of resonances between the nutation and orbital frequencies that act as the primary drivers of the spin dynamics. This analysis reveals that, contrary to long-held belief, Hyperion is not tumbling chaotically. Instead, it lies near or in a nutation-orbit resonance that is first-order in eccentricity, allowing it to rotate quasi-regularly. The most reliable observations are consistent with either nonchaotic motion or chaos that is orders of magnitude smaller than originally claimed. A separate phenomenon, the so-called barrel instability, is shown to be related to a different set of nutation-orbit resonances that generalize the planar spin-orbit resonances. Finally, we show that changes in spin states over long timescales are best understood by considering chaotic diffusion of quasi-conserved quantities.

Synchronous flying-around control for uncontrolled tumbling spacecraft

The problem of synchronous flying-around control for uncontrolled tumbling target spacecraft is investigated in the paper. Firstly, the relative motion equations of the chaser and the target is established based on the line of sight (LOS) coordinate system, and the scenario of the chaser flying-around uncontrolled tumbling target is analyzed. Secondly, the attitude motion model of the uncontrolled tumbling target is established, and the attitude of the target is described by the Modified Rodriguez Parameters (MRPs). The synchronous flying-around problem is transformed into a two-dimensional control problem in the instantaneous rotation plane of LOS (IRPL). The sliding mode controller is designed to control the LOS direction and vertical LOS direction of the chaser in the IRPL, and the stability of the controller is analyzed. In order to verify the effectiveness of the synchronous flying-around control method, three simulation scenarios are designed. The simulation results verify the effectiveness of the proposed method.

Method of automatic calibration and measurement of the light polarisation plane rotation with tilted fibre Bragg grating and discrete wavelet transform usage

Method of automatic calibration and measurement of the light polarisation plane rotation with tilted fibre Bragg grating and discrete wavelet transform usage

Impact of proprioceptive cervical dizziness in chronic neck pain syndromes on gait and stance during active head-turn challenges

An earlier observational study described selected patients with acute neck pain syndrome, who experienced short bursts of cervical vertigo elicited by rapid head movements. The current study on a larger cohort of 20 patients with chronic or frequently recurring neck pain syndrome and age-matched controls focused on two major questions: (1) Can head movements in subjects with exacerbations of neck pain and restrictions of neck mobility also elicit bursts of vertigo? (2) What is the impact on postural balance measured by analysis of body sway and locomotion? A detailed questionnaire was applied, posture and gait were evaluated by use of instrumented posturography—and gait analysis with and without slow or rapid horizontal head rotations in the yaw plane with and without sight/visual input. All patients reported some or frequent episodes of dizziness in the range of seconds only elicited by rapid, not by slow head movements. Postural sway in patients was unremarkable in undisturbed conditions without head movements, but specifically increased by rapid but not slow head turns. The latter is best explained by the lack of continuous control of velocity and amplitude of saccadic head movements. Gait analysis revealed a slowed and cautious gait pattern already at undisturbed condition that was even exaggerated during rapid head turns. These observations demonstrate that chronic or recurrent neck pain is associated with episodic experiences of dizziness and above results in both chronic and episodic alterations of stance and gait that resemble those described for patients with phobic postural vertigo/persistent postural perceptual dizziness, a functional gait disorder.

Resonance Enhancement of the Faraday Effect in a agnetoplasmonic Composite

The paper presents the results of a theoretical and experimental study of the enhancement of the magneto-optical Faraday effect in a magnetoplasmonic nanocomposite, caused by localized plasmon resonance (LPR) in metal nanoparticles. The nanocomposite comprises a three-layer structure of self-assembled gold nanoparticles in a bismuth-substituted iron-garnet matrix. It is shown theoretically and experimentally that the enhancement of the magneto-optical Faraday effect is determined by the action of a magnetic field on the magnetoplasmonic composite as an effective medium as a whole. In this case, in the magnetoplasmonic nanocomposite, the Faraday effect is enhanced at the LPR wavelengths and is slightly weakened in the region of short wavelengths relative to the LPR. It is theoretically shown that the complex gyration index in the off-diagonal terms of the effective permittivity tensor for the magnetoplasmonic composite, in addition to rotation of the polarization plane, leads to the appearance of alternating ellipticity in the vicinity of the plasmon resonance, which is observed in the form of asymmetry of magneto-optical rotation.

Properties of the Octonion Linear Canonical Transform

Abstract The linear canonical transform is a widely utilized integral transform in the field of signal analysis, characterized by three independent parameters. It not only facilitates rotation of the time-frequency plane but also enables expansion and contraction of the frequency domain, thereby playing a crucial role in handling non-stationary signals. In recent years, the linear canonical transform has been extended to octonion domains, which possess a more generalized form and offer greater research potential. This extension effectively harnesses the processing capabilities of the linear canonical transform for non-stationary signals in high-dimensional spaces. In this paper, we explore the definition and the conjugacy of the left side octonion linear canonical transform. Moreover, we thoroughly examine the differential properties of octonion linear canonical transform. The study of these properties is helpful for understanding the characteristics and applications of geometric transformations as well as expanding the scope of mathematical theory and practical applications.

Axial Rotation Analysis in Total Ankle Arthroplasty Using Weight-Bearing Computer Tomography and Three-Dimensional Modeling

Category: Ankle Arthritis; Other Introduction/Purpose: Post-operative alignment is the most critical indicator for a successful total ankle arthroplasty (TAA). Total ankle malrotation is associated with an increased risk for polyethylene wear and medial gutter pain. Currently, there is no consensus on the correct way to measure the alignment of the tibial and talar component rotations in the axial plane. In the current study, the post-operative analysis system was assessed using weight-bearing computer tomography and a three-dimensional (3D) model. The purpose of the study was to assess the inter-observer and intra-observer agreement of this system. Methods: Four angles were measured by two raters independently in two separate readings: posterior tibial component rotation angle (PTIRA), posterior talar component rotation angle (PTARA), tibia talar component axial angle (TTAM), and tibial component to the second metatarsal angle (TMRA). Agreement analysis was quantified according to the interclass coefficient Results: Sixty TAAs across 60 patients were evaluated. A good inter-observer agreement and intra-observer agreement when measuring the PTIRA, PTARA, and TTAM angles was observed along with an excellent inter-observer agreement and intra-observer agreement when measuring the TMRA angle. Conclusion: In conclusion, the current 3D model-based measurement system demonstrates good to excellent inter and intra-agreement. According to these results, 3D modelling can be reliably used to measure and assess the axial rotation of TAA components. Figure 3: Example case of how to measure the angles for assessing axial rotation of TAA and forefoot. 3 A) Posterior TIbial component Rotational Angle (PTIRA). The chosen slice is the one with the straightest posterior wall component of the tibia. The angle is measured on the following steps. First a reference is put on the posterior wall of the tibial component (blue horizontal line). Then the angle is measured starting from the center of the tibial axis (red dot explained on fig. 2), going to the fibular axis (medial part of the red line at the right of the draw), and finally ending 90° to the posterior reference line. 3 B) Posterior TAlar component Rotational Angle (PTARA). The chosen slice is the one with the straightest posterior wall component of the talus. For the angle measurement. The same steps as figure 3 A are followed with the talar component. 3 C) Talar component to 2nd Metatarsal Rotational Angle (TMRA): Defined as an intersection between a line parallel to the lateral border of the tibia component and a line perpendicular to the anatomical axis of the second metatarsal. This was measured using a 3D rendering tool