Advertisement
Original article| Volume 10, 100468, 2023

A new circle method for measuring humeral torsion on MRI-scans less sensitive to Hill-Sachs lesions

  • Stefan Demarmels
    Affiliations
    Department of Orthopaedic and Trauma Surgery, Kantonsspital Graubünden, Chur, Switzerland
    Search for articles by this author
  • Holger Grehn
    Affiliations
    Department of Orthopaedic and Trauma Surgery, Kantonsspital Graubünden, Chur, Switzerland
    Search for articles by this author
  • Dirk Müller
    Affiliations
    Department of Radiology, Kantonsspital Graubünden, Chur, Switzerland
    Search for articles by this author
  • Author Footnotes
    1 Present address: MedConsulting Dr. A. U. Freiburghaus, im Chramen 9, CH-8712 Stäfa
    Andreas U. Freiburghaus
    Footnotes
    1 Present address: MedConsulting Dr. A. U. Freiburghaus, im Chramen 9, CH-8712 Stäfa
    Affiliations
    University of Zürich, Zürich, Switzerland
    Search for articles by this author
  • Author Footnotes
    2 Present address: Fusschirurgie Zürich, Bahnhofstrasse 56, CH-8001 Zürich
    Arno Frigg
    Correspondence
    Correspondence to: Prof. Dr. med. Arno Frigg, Kantonsspital Graubünden, Department of Orthopaedic and Trauma Surgery, CH-7000 Chur, Switzerland.
    Footnotes
    2 Present address: Fusschirurgie Zürich, Bahnhofstrasse 56, CH-8001 Zürich
    Affiliations
    Department of Orthopaedic and Trauma Surgery, Kantonsspital Graubünden, Chur, Switzerland

    Department of Orthopaedic Surgery, University Hospital Basel, Basel, Switzerland
    Search for articles by this author
  • Author Footnotes
    1 Present address: MedConsulting Dr. A. U. Freiburghaus, im Chramen 9, CH-8712 Stäfa
    2 Present address: Fusschirurgie Zürich, Bahnhofstrasse 56, CH-8001 Zürich
Open AccessPublished:December 14, 2022DOI:https://doi.org/10.1016/j.ejro.2022.100468

      Abstract

      Objectives

      The literature on humeral torsion angles (retrotorsion) reveals great inconsistencies between methodology and values. Decreased retrotorsion was suspected to correlate with instability, but evidence is contradictory. The measurement according to the gold standard method of Bernageau and Godefroy (B&G) can be challenging especially in the presence of Hill-Sachs-lesions. Therefore, we have developed and evaluated a new measurement method for the humeral torsion angle on MRI-scans.

      Materials and Methods

      Three investigators have measured 67 patients (35 with shoulder instability, 32 healthy) on axial MRIs with 603 measurements used for reliability calculation. The new Circle-method determines the retrotorsion by overlaying two circles on the transversal section of the humeral head. The first circle is adjusted congruent with the margin of the humeral head, whereas the second circle is adjusted to the greater tubercle. The line bisecting the centres of these circles is defined as the humeral head axis. This method was compared to B&G.

      Results

      The mean retrotorsion angle of all patients was 25°± 25° (mean ± SD) with B&G, and 24° ± 27° with the Circle-method. Neither method revealed a significant difference between stable and unstable shoulders (p = 0.47). Of the 35 patients with unstable shoulders 21 (60%) presented Hill-Sachs lesions. No significant differences between patients with or without Hill-Sachs lesions (Circle-method: p = 0.61; B&G: p = 0.67). The reliability parameters for both methods were similar.

      Conclusions

      The new Circle-method is as precise as the method of B&G. It may yield more consistent values in cases with substantial Hill-Sachs-lesions. Our data do not suggest retrotorsion as a predictor of instability.

      Abbreviations:

      HTA (humeral torsion angle), ICC (Intra Class Correlation)

      Keywords

      1. Introduction

      Predisposing factors for shoulder instability and (sub)luxation have repeatedly been investigated. One of the anatomical factors considered is humeral torsion (or retrotorsion). It is defined as the angle between the humeral head axis and the epicondylar axis (humeral torsion angle, HTA). In the resting, non-abducted position of the arm the humeral head points towards postero-medial. The commonly reported position of the arm for anterior dislocations is 90° abduction and external rotation. In this position the humeral head points towards anterior. If in such a position the humeral retrotorsion is diminished, the threshold for a spontaneous dislocation of the shoulder may be lowered, i.e., subluxation may occur earlier at lower degrees of abduction and/or external rotation [
      • Hill J.A.
      • Tkach L.
      • Hendrix R.W.
      A study of glenohumeral orientation in patients with anterior recurrent shoulder dislocations using computerized axial tomography.
      ]. Reviewing 40 methodologically defined studies published in the last 108 years [

      R. Martin, Lehrbuch der Anthropologie, Verlag von Gustav Fischer, Jena, 1914.

      ,
      • Boileau P.
      • Bicknell R.T.
      • Mazzoleni N.
      • Walch G.
      • Urien J.P.
      CT scan method accurately assesses humeral head retroversion.
      ,
      • Cassagnaud X.
      • Maynou C.
      • Petroff E.
      • Dujardin C.
      • Mestdagh H.
      A study of reproducibility of an original method of CT measurement of the lateralization of the intertubercular groove and humeral retroversion.
      ,
      • Chu Y.L.
      • Chen C.K.
      • Liu Y.C.
      • Lu T.W.
      • Liaw C.K.
      Geometrical analysis for assessing torsional alignment of humerus.
      ,
      • Cyprien J.M.
      • Vasey H.M.
      • Burdet A.
      • Bonvin J.C.
      • Kritsikis N.
      • Vuagnat P.
      Humeral retrotorsion and glenohumeral relationship in the normal shoulder and in recurrent anterior dislocation (Scapulometry).
      ,
      • Dähnert W.
      • Bernd W.
      [Computer tomography determination of the torsion angle of the humerus].
      ,
      • Dashottar A.
      • Borstad J.D.
      Validity of measuring humeral torsion using palpation of bicipital tuberosities.
      ,
      • Debevoise N.T.
      • Hyatt G.W.
      • Townsend G.B.
      Humeral torsion in recurrent shoulder dislocations. A technic of determination by X-ray.
      ,
      • DeLude J.A.
      • Bicknell R.T.
      • MacKenzie G.A.
      • Ferreira L.M.
      • Dunning C.E.
      • King G.J.
      • Johnson J.A.
      • Drosdowech D.S.
      An anthropometric study of the bilateral anatomy of the humerus.
      ,
      • Doyle A.J.
      • Burks R.T.
      Comparison of humeral head retroversion with the humeral axis/biceps groove relationship: a study in live subjects and cadavers.
      ,
      • Guenoun D.
      • Le Corroller T.
      • Lagier A.
      • Pauly V.
      • Champsaur P.
      Correlation between the retroversion of the humeral head and the orientation of the intertubercular sulcus: a CT scan anatomical study.
      ,
      • Hannah D.C.
      • Scibek J.S.
      • Carcia C.R.
      • Phelps A.L.
      Reliability and Validity of a 1-Person Technique to Measure Humeral Torsion Using Ultrasound.
      ,
      • Harland U.
      • Diepolder M.
      • Gruber G.
      • Knoss H.P.
      [Sonographic determination of the humerus retrotorsion angle].
      ,
      • Harrold F.
      • Wigderowitz C.
      A three-dimensional analysis of humeral head retroversion.
      ,
      • Hernigou P.
      • Duparc F.
      • Filali C.
      Humerus retroversion and shoulder arthroplasty.
      ,
      • Hernigou P.
      • Duparc F.
      • Hernigou A.
      Determining humeral retroversion with computed tomography.
      ,
      • Ito N.
      • Eto M.
      • Maeda K.
      • Rabbi M.E.
      • Iwasaki K.
      Ultrasonographic measurement of humeral torsion.
      ,
      • Kronberg M.
      • Brostrom L.A.
      • Soderlund V.
      Retroversion of the humeral head in the normal shoulder and its relationship to the normal range of motion.
      ,
      • Kummer F.J.
      • Perkins R.
      • Zuckerman J.D.
      The use of the bicipital groove for alignment of the humeral stem in shoulder arthroplasty.
      ,
      • Laumann U.
      • Kramps H.A.
      Computer Tomography on Recurrent Shoulder Dislocation.
      ,
      • Matsumura N.
      • Ogawa K.
      • Kobayashi S.
      • Oki S.
      • Watanabe A.
      • Ikegami H.
      • Toyama Y.
      Morphologic features of humeral head and glenoid version in the normal glenohumeral joint.
      ,
      • Myers J.B.
      • Oyama S.
      • Clarke J.P.
      Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
      ,
      • Oh J.H.
      • Kim W.
      • Cayetano Jr., A.A.
      Measurement methods for humeral retroversion using two-dimensional computed tomography scans: which is most concordant with the standard method?.
      ,
      • Oztuna V.
      • Ozturk H.
      • Eskandari M.M.
      • Kuyurtar F.
      Measurement of the humeral head retroversion angle. A new radiographic method.
      ,
      • Pan Z.
      • Chen J.
      • Qu L.
      • Cui Y.
      • Sun C.
      • Zhang H.
      • Yang X.
      • Guan Q.
      Correlation between anatomical parameters of intertubercular sulcus and retroversion angle of humeral head.
      ,
      • Patil S.
      • Sethi M.
      • Vasudeva N.
      Determining Angle of Humeral Torsion Using Image Software Technique.
      ,
      • Pieper H.G.
      Shoulder dislocation in skiing: choice of surgical method depending on the degree of humeral retrotorsion.
      ,
      • Randelli M.
      • Gambrioli P.L.
      Glenohumeral osteometry by computed-tomography in normal and unstable shoulders.
      ,
      • Raniga S.
      • Knowles N.K.
      • West E.
      • Ferreira L.M.
      • Athwal G.S.
      The Walch type B humerus: glenoid retroversion is associated with torsional differences in the humerus.
      ,
      • Roberts S.N.
      • Foley A.P.
      • Swallow H.M.
      • Wallace W.A.
      • Coughlan D.P.
      The geometry of the humeral head and the design of prostheses.
      ,
      • Robertson D.D.
      • Yuan J.
      • Bigliani L.U.
      • Flatow E.L.
      • Yamaguchi K.
      Three-dimensional analysis of the proximal part of the humerus: relevance to arthroplasty.
      ,
      • Saha A.K.
      Dynamic stability of the glenohumeral joint.
      ,
      • Saka M.
      • Yamauchi H.
      • Hoshi K.
      • Yoshioka T.
      • Hamada H.
      • Gamada K.
      Reliability and validity in measurement of true humeral retroversion by a three-dimensional cylinder fitting method.
      ,
      • Soderlund V.
      • Kronberg M.
      • Brostrom L.A.
      Radiologic assessment of humeral head retroversion. Description of a new method.
      ,
      • Symeonides P.P.
      • Hatzokos I.
      • Christoforides J.
      • Pournaras J.
      Humeral head torsion in recurrent anterior dislocation of the shoulder.
      ,
      • Tellioglu A.M.
      • Karakas S.
      • Taskin F.
      Determining torsion angle of humerus head using MRI method.
      ,
      • Whiteley R.
      • Ginn K.
      • Nicholson L.
      • Adams R.
      Indirect ultrasound measurement of humeral torsion in adolescent baseball players and non-athletic adults: reliability and significance.
      ,
      • Yaari L.S.
      • Mullaney M.J.
      • Fukunaga T.
      • Thein R.
      • McHugh M.P.
      • Nicholas S.J.
      Assessment of humeral torsion by palpation in baseball pitchers: a validation study.
      ,
      • Yoshida M.
      • Saho Y.
      • Katayose M.
      Reliability of measuring humeral retroversion using ultrasound imaging in a healthy nonthrowing population.
      ] we found greatly varying methods and results. Most reports have investigated between 3 and 250 individuals, only one study has investigated 410 persons (Table 1). Reported humeral torsion angle measurements were performed on specimens, X-rays, CT-scans, ultrasound-scans or MRI-scans, and results ranged between 4° and 76° with large standard deviations. These reported means vary greatly between methods, authors, and source (imaging/cadaver), and the deviations are large. The definition of a "normal" value and range for the humeral torsion is thus impossible and for practical clinical purposes non-existent.
      Table 1Literature overview of humeral torsion angles (HTA).
      exAuthorn (measured humeri)Average humeral retrotorsion angle
      (range or ± SD); degrees
      Methods using the measurement technique according to Bernageau/Godefroy
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      with CT or MRI scans
      1Bernageau
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      N/AN/A (only description of measuring method with CT)
      2Matsumura
      • Matsumura N.
      • Ogawa K.
      • Kobayashi S.
      • Oki S.
      • Watanabe A.
      • Ikegami H.
      • Toyama Y.
      Morphologic features of humeral head and glenoid version in the normal glenohumeral joint.
      41026° ( ± 11)
      3Cassagnaud
      • Cassagnaud X.
      • Maynou C.
      • Petroff E.
      • Dujardin C.
      • Mestdagh H.
      A study of reproducibility of an original method of CT measurement of the lateralization of the intertubercular groove and humeral retroversion.
      6411.71° (−17.5°−54°) dominant
      7.03° (−28°−47°) non-dominant
      4Symeonides
      • Symeonides P.P.
      • Hatzokos I.
      • Christoforides J.
      • Pournaras J.
      Humeral head torsion in recurrent anterior dislocation of the shoulder.
      8016.1° ( ± 11.07) stable group
      4.3° ( ± 10.56) unstable group
      5Randelli
      • Randelli M.
      • Gambrioli P.L.
      Glenohumeral osteometry by computed-tomography in normal and unstable shoulders.
      18030° (25°−35°) stable group
      30° (28°−35°) unstable group
      6Laumann
      • Laumann U.
      • Kramps H.A.
      Computer Tomography on Recurrent Shoulder Dislocation.
      3228°− 31°
      7Oh
      • Oh J.H.
      • Kim W.
      • Cayetano Jr., A.A.
      Measurement methods for humeral retroversion using two-dimensional computed tomography scans: which is most concordant with the standard method?.
      2831.42° ( ± 12.1)
      8Tellioğlu
      • Tellioglu A.M.
      • Karakas S.
      • Taskin F.
      Determining torsion angle of humerus head using MRI method.
      3619.5° (−4 to 41°)
      9Myers
      • Myers J.B.
      • Oyama S.
      • Clarke J.P.
      Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
      2432.4° ( ± 11.4) dominant
      25.2° ( ± 7.7) non-dominant
      10Pan
      • Pan Z.
      • Chen J.
      • Qu L.
      • Cui Y.
      • Sun C.
      • Zhang H.
      • Yang X.
      • Guan Q.
      Correlation between anatomical parameters of intertubercular sulcus and retroversion angle of humeral head.
      20 cadaveric specimens32.1° ( ± 14.1)
      11Guenoun
      • Guenoun D.
      • Le Corroller T.
      • Lagier A.
      • Pauly V.
      • Champsaur P.
      Correlation between the retroversion of the humeral head and the orientation of the intertubercular sulcus: a CT scan anatomical study.
      60 cadaveric specimens12.3° ( ± 7.9)
      12Hernigou
      • Hernigou P.
      • Duparc F.
      • Filali C.
      Humerus retroversion and shoulder arthroplasty.
      60 cadaveric specimens23° (15–38)
      13Hernigou
      • Hernigou P.
      • Duparc F.
      • Hernigou A.
      Determining humeral retroversion with computed tomography.
      120 cadaveric specimens17.1° ( ± 8.1)
      14Boileau
      • Boileau P.
      • Bicknell R.T.
      • Mazzoleni N.
      • Walch G.
      • Urien J.P.
      CT scan method accurately assesses humeral head retroversion.
      65 cadaveric specimens16.1° ( ± 13.3)
      15Doyle
      • Doyle A.J.
      • Burks R.T.
      Comparison of humeral head retroversion with the humeral axis/biceps groove relationship: a study in live subjects and cadavers.
      41 living shoulders and 9 cadaveric specimens26.8° ( ± 12.2)
      Methods using measurement techniques with CT scans differing from Bernageau/Godefroy
      16Oh
      • Oh J.H.
      • Kim W.
      • Cayetano Jr., A.A.
      Measurement methods for humeral retroversion using two-dimensional computed tomography scans: which is most concordant with the standard method?.
      2829.7° ( ± 11.66)
      30.64° ( ± 11.24)
      30.41° ( ± 11.17)
      32.14° ( ± 11.7)
      17Myers
      • Myers J.B.
      • Oyama S.
      • Clarke J.P.
      Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
      2468.3° ( ± 14.2) dominant
      52.5° ( ± 12.6) non-dominant
      18Hernigou
      • Hernigou P.
      • Duparc F.
      • Filali C.
      Humerus retroversion and shoulder arthroplasty.
      60 cadaveric specimens38° (30°−53°)
      19Chu
      • Chu Y.L.
      • Chen C.K.
      • Liu Y.C.
      • Lu T.W.
      • Liaw C.K.
      Geometrical analysis for assessing torsional alignment of humerus.
      2841.1° ( ± 17.1)
      20Raniga
      • Raniga S.
      • Knowles N.K.
      • West E.
      • Ferreira L.M.
      • Athwal G.S.
      The Walch type B humerus: glenoid retroversion is associated with torsional differences in the humerus.
      59 living shoulders vs. 59 cadaveric specimens36° ( ± 12) normal group
      14° ( ± 9) Walch type B group
      21Saka
      • Saka M.
      • Yamauchi H.
      • Hoshi K.
      • Yoshioka T.
      • Hamada H.
      • Gamada K.
      Reliability and validity in measurement of true humeral retroversion by a three-dimensional cylinder fitting method.
      28N/A but reliable method between different testers
      22Robertson
      • Robertson D.D.
      • Yuan J.
      • Bigliani L.U.
      • Flatow E.L.
      • Yamaguchi K.
      Three-dimensional analysis of the proximal part of the humerus: relevance to arthroplasty.
      60 cadaveric specimens19° ( ± 6)
      23Dähnert
      • Dähnert W.
      • Bernd W.
      [Computer tomography determination of the torsion angle of the humerus].
      5055.6° right, 54.6° left
      (values within 56° of difference)
      Methods using measurement techniques with ultrasound
      24Myers
      • Myers J.B.
      • Oyama S.
      • Clarke J.P.
      Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
      2474.2° ( ± 14.5) dominant
      61.2° ( ± 14.4) non-dominant
      25Yaari
      • Yaari L.S.
      • Mullaney M.J.
      • Fukunaga T.
      • Thein R.
      • McHugh M.P.
      • Nicholas S.J.
      Assessment of humeral torsion by palpation in baseball pitchers: a validation study.
      4020° ( ± 10) dominant
      29° ( ± 12) non-dominant
      26Hannah
      • Hannah D.C.
      • Scibek J.S.
      • Carcia C.R.
      • Phelps A.L.
      Reliability and Validity of a 1-Person Technique to Measure Humeral Torsion Using Ultrasound.
      3064.4° ( ± 9.5) measured at sulcus site
      63.1° ( ± 9.6) measured at forearm site
      27Dashottar
      • Dashottar A.
      • Borstad J.D.
      Validity of measuring humeral torsion using palpation of bicipital tuberosities.
      4931.5° ( ± 7.5)
      28Yoshida
      • Yoshida M.
      • Saho Y.
      • Katayose M.
      Reliability of measuring humeral retroversion using ultrasound imaging in a healthy nonthrowing population.
      7468.5° ( ± 10) dominant
      58° ( ± 8.4) non-dominant
      29Whiteley
      • Whiteley R.
      • Ginn K.
      • Nicholson L.
      • Adams R.
      Indirect ultrasound measurement of humeral torsion in adolescent baseball players and non-athletic adults: reliability and significance.
      10218.2° ( ± 9.6) dominant
      19.8° ( ± 10.8) non-dominant
      30Ito
      • Ito N.
      • Eto M.
      • Maeda K.
      • Rabbi M.E.
      • Iwasaki K.
      Ultrasonographic measurement of humeral torsion.
      5815.1° ( ± 3.9) right
      15.1° ( ± 2.9) left
      31Harland
      • Harland U.
      • Diepolder M.
      • Gruber G.
      • Knoss H.P.
      [Sonographic determination of the humerus retrotorsion angle].
      11160.9° (85.6% of all values between 40°−80°)
      Methods using measurement techniques with X-ray
      32Hernigou
      • Hernigou P.
      • Duparc F.
      • Hernigou A.
      Determining humeral retroversion with computed tomography.
      120 cadaveric specimens19.2° ( ± 9.5)
      33Boileau
      • Boileau P.
      • Bicknell R.T.
      • Mazzoleni N.
      • Walch G.
      • Urien J.P.
      CT scan method accurately assesses humeral head retroversion.
      65 cadaveric specimens22.2° ( ± 14.9)
      34Oztuna
      • Oztuna V.
      • Ozturk H.
      • Eskandari M.M.
      • Kuyurtar F.
      Measurement of the humeral head retroversion angle. A new radiographic method.
      4026° (7°−47°)
      35Kronberg
      • Kronberg M.
      • Brostrom L.A.
      • Soderlund V.
      Retroversion of the humeral head in the normal shoulder and its relationship to the normal range of motion.
      10033° ( ± 9.3) dominant
      29° ( ± 8.4) non-dominant
      36Söderlund
      • Soderlund V.
      • Kronberg M.
      • Brostrom L.A.
      Radiologic assessment of humeral head retroversion. Description of a new method.
      3 cadaveric specimens and 32 living shouldersN/A (only description of new X-ray method)
      37Pieper
      • Pieper H.G.
      Shoulder dislocation in skiing: choice of surgical method depending on the degree of humeral retrotorsion.
      17540.1° ( ± 5.7) normal group
      24.3° ( ± 10.6) anterior dislocation group
      55.7° ( ± 5.1) posterior dislocation group
      38Cyprien
      • Cyprien J.M.
      • Vasey H.M.
      • Burdet A.
      • Bonvin J.C.
      • Kritsikis N.
      • Vuagnat P.
      Humeral retrotorsion and glenohumeral relationship in the normal shoulder and in recurrent anterior dislocation (Scapulometry).
      158Stable group:
      22.2° ( ± 10.25) right, 18° ( ± 9.41) left
      Unstable group 1:
      18.5° ( ± 10.39) right, 12.9° ( ± 11.18) left
      Unstable group 2:
      18.2° ( ± 8.12) right, 18.3° ( ± 11.51) left
      39Saha
      • Saha A.K.
      Dynamic stability of the glenohumeral joint.
      N/A30° (N/A)
      40Debevoise
      • Debevoise N.T.
      • Hyatt G.W.
      • Townsend G.B.
      Humeral torsion in recurrent shoulder dislocations. A technic of determination by X-ray.
      6661.2° (47°−85°) stable
      76.5° (63°−104°) unstable
      Methods using measurement techniques with digitization, surface measurements with laser or coordinate machines, palpation, photography, or direct measurements with anatomical landmarks
      41Boileau
      • Boileau P.
      • Bicknell R.T.
      • Mazzoleni N.
      • Walch G.
      • Urien J.P.
      CT scan method accurately assesses humeral head retroversion.
      65 cadaveric specimens17.9° ( ± 13.7) for transepicondylar axis
      21.5° ( ± 15.1) for capitellotrochlear joint line
      17.2° ( ± 12.6) direct measurement
      42Harrold
      • Harrold F.
      • Wigderowitz C.
      A three-dimensional analysis of humeral head retroversion.
      24 cadaveric specimens18.6° ( ± 10)
      43Yaari
      • Yaari L.S.
      • Mullaney M.J.
      • Fukunaga T.
      • Thein R.
      • McHugh M.P.
      • Nicholas S.J.
      Assessment of humeral torsion by palpation in baseball pitchers: a validation study.
      4032° ( ± 6) dominant
      27° ( ± 4) non-dominant
      44Patil
      • Patil S.
      • Sethi M.
      • Vasudeva N.
      Determining Angle of Humeral Torsion Using Image Software Technique.
      250 cadaveric specimens64.57° ( ± 7.56)
      45Dashottar
      • Dashottar A.
      • Borstad J.D.
      Validity of measuring humeral torsion using palpation of bicipital tuberosities.
      4930.5° ( ± 7.9)
      46DeLude
      • DeLude J.A.
      • Bicknell R.T.
      • MacKenzie G.A.
      • Ferreira L.M.
      • Dunning C.E.
      • King G.J.
      • Johnson J.A.
      • Drosdowech D.S.
      An anthropometric study of the bilateral anatomy of the humerus.
      28 cadaveric specimens41.1° ( ± 7.8) left
      35.6° ( ± 9.1) right
      47Kummer
      • Kummer F.J.
      • Perkins R.
      • Zuckerman J.D.
      The use of the bicipital groove for alignment of the humeral stem in shoulder arthroplasty.
      420 cadaveric specimens28.3° ( ± 13.2)
      48Roberts
      • Roberts S.N.
      • Foley A.P.
      • Swallow H.M.
      • Wallace W.A.
      • Coughlan D.P.
      The geometry of the humeral head and the design of prostheses.
      39 cadaveric specimens21.4° (18.5°−25°)
      49Martin

      R. Martin, Lehrbuch der Anthropologie, Verlag von Gustav Fischer, Jena, 1914.

      N/A16° (N/A)
      In reconstructive surgery it is essential to measure the humeral torsion either on the affected or also on the contralateral side as reference value [
      • Kronberg M.
      • Brostrom L.A.
      Rotation osteotomy of the proximal humerus to stabilise the shoulder. Five years' experience.
      ]. Today this is mostly done in CT-scans but in many institutions MRI-scans are more frequently used as diagnostic tool for evaluation of shoulder pathologies. In the current literature there are only two publications describing a humeral torsion measuring method for MRI-scans. To determine the humeral head axis Doyle et al. [
      • Doyle A.J.
      • Burks R.T.
      Comparison of humeral head retroversion with the humeral axis/biceps groove relationship: a study in live subjects and cadavers.
      ] and Tellioğlu et al. [
      • Tellioglu A.M.
      • Karakas S.
      • Taskin F.
      Determining torsion angle of humerus head using MRI method.
      ] used a perpendicular line to the anatomical neck between the end of the cartilage on both sides of the humeral head, similar to the gold standard of Bernageau and Godefroy [
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      ]. These measurements were performed in transverse section images positioned at the upper margin of the subscapular tendon. The HTA was the difference between the humeral head axis and the epicondylar axis of the elbow, a line through the largest osseous extension in the transepicondylar section. Determining the exact position of the anatomical neck can sometimes be challenging, especially in the presence of Hill-Sachs-lesions [
      • Hill H.A.
      • Sachs M.D.
      The grooved defect of the humeral head: a frequently unrecognized complication of dislocations of the shoulder joint.
      ], which are frequently seen after shoulder dislocations. These lesions are usually located in the region of the posterior anatomical neck and the point of interest for the axis measurement can be vague. Therefore, we developed a new method using tools available in 3D-viewers (e.g. OsiriX by Pixmeo SARL, Geneva, Switzerland) named “Circle-method”. In the current study we evaluated if (1) the HTA values obtained by the Circle-method and by the method of Bernageau and Godefroy (B&G-method) [
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      ] are comparable, (2) the interobserver variability is similar in both methods, and if (3) in the presence of Hill-Sachs lesions the Circle-method is superior to the B&G-method.

      2. Materials and methods

      2.1 Patients

      The study was approved by the local Ethical Committee and was conducted in compliance with applicable laws and Good Clinical Practice (GCP, Declaration of Helsinki [
      • Williams J.
      The declaration of Helsinki and public health.
      ]). Informed consent was obtained from all participants included in the study. 174 patients with clinical shoulder symptoms presenting at our hospital between 2011 and 2014 have undergone MRI examinations of the shoulder. They were allocated to the unstable group or control group. Inclusion criterion for the unstable group was at least one shoulder dislocation, for the control group a stable shoulder. The exclusion criteria for both groups were glenohumeral osteoarthritis of grade 2–4 [
      • Kellgren J.H.
      • Lawrence J.S.
      Radiological assessment of osteo-arthrosis.
      ] and/or serious rotator cuff lesions. Additional exclusion criteria for the control group were any shoulder dislocation or subluxation in the history.
      Finally, 67 patients, 20 (30%) female and 47 (70%) male, were eligible with a mean age of 43 ± 17 years. The unstable group consisted of 35 (52%) patients, female 10 (29%) and male 25 (71%), with a mean age of 37 ± 19 years. The control group consisted of 32 patients (48%), female 10 (31%) and male 22 (69%), with a mean age of 48 ± 12 years. There was no difference in the gender distribution between groups (p = 0.81). However, the age difference between groups was statistically significant, with the unstable group being on average 11 years younger than control group (p = 0.006).
      Osteoarthritis classification was done according to Kellgren and Lawrence [
      • Kellgren J.H.
      • Lawrence J.S.
      Radiological assessment of osteo-arthrosis.
      ]. Grade 2 was defined by the presence of a reduced joint line and osteophytes, grade 3 by the additional presence of cysts, and grade 4 by the absence of a joint line and the presence of osteophytes and cysts, or ankylosis. A serious rotator cuff lesion was defined according to Patte [
      • Patte D.
      Classification of rotator cuff lesions.
      ] (grade 2 or higher) by the presence of a complete rupture of a single rotator cuff tendon with retraction beyond the middle of the humeral head, or the presence of at least two ruptured rotator cuff tendons.

      2.2 Imaging

      All images were acquired using a Philips Achieva 3.0T TX MRI scanner (Philips Healthcare, Best, The Netherlands). The patients were placed in a supine position with arms located by their sides, palmar surfaces facing upwards and shoulders and arms immobile. The axial MR images of the shoulder, which were roughly perpendicular to the humeral shaft axis, were obtained using a dedicated 8-channel shoulder coil using a transverse proton weighted spin echo sequence (TR/TE: 3379/30, field of view: 16 cm, matrix: 380 × 273, number of excitations: 2, slice thickness/gap: 2.5/2.75 mm). In addition, a transverse T1 weighted spin echo sequence of the distal humerus was acquired using the body coil of the MRI scanner (TR/TE: 694/8.8, field of view: 16 cm, matrix: 308 × 240, number of excitations: 2, slice thickness/gap: 2.5/2.75 mm).

      2.3 HTA measurement

      Measurements were performed with the appropriate tools of the 3D-viewer of the application OsiriX MD (Pixmeo SARL, Geneva, Switzerland) for Mac OS (Apple Inc., Cupertino, USA). The 3D-viewer allows for individual adjustments of the measurement axes. B&G-method was performed according to Bernageau and Godefroy [
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      ], also described in Guenoun et al. [
      • Guenoun D.
      • Le Corroller T.
      • Lagier A.
      • Pauly V.
      • Champsaur P.
      Correlation between the retroversion of the humeral head and the orientation of the intertubercular sulcus: a CT scan anatomical study.
      ]. A straight line was drawn intersecting the anterior and posterior limits of the cartilage, corresponding to the anatomical neck at the transverse section image of the humeral head located at the upper margin of the subscapular tendon. The line perpendicular to that line was defined as the humeral head axis (Fig. 1). The HTA was determined as the angle between the humeral head axis and the transepicondylar line as determined in routine low resolution transversal section images (Fig. 2).
      Fig. 1
      Fig. 1Determination of the humeral head axis on MRI sections by Bernageau and Godefroy’s method [
      • Guenoun D.
      • Le Corroller T.
      • Lagier A.
      • Pauly V.
      • Champsaur P.
      Correlation between the retroversion of the humeral head and the orientation of the intertubercular sulcus: a CT scan anatomical study.
      ,
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      ] in a case with a Hill-Sachs lesion.
      Fig. 2
      Fig. 2Determination of the epicondylar axis on routine low resolution MRI images.
      For the Circle-method the axis of the humeral head was determined by overlaying two circles on the image of the transversal section of the humeral head (Fig. 3). The diameter and position of the first circle was adjusted to be congruent with the margin of the humeral head, whereas the second circle was adjusted to be congruent with the margin of the greater tubercle. The line through the centres of both circles was defined as the humeral head axis. The HTA was defined as the angle between the humeral head axis and the transepicondylar line.
      Fig. 3
      Fig. 3Determination of the humeral head axis by the Circle-method in a case with a Hill-Sachs lesion.
      In both methods positive HTA values were defined as retrotorsion and negative values as antetorsion. Three investigators proficient in musculoskeletal radiology measured all images after a 50 patients-training phase. They were blinded to the patient’s group and the other observers’ results.

      2.4 Statistics

      Statistical analyses were performed in the R programming language (version 3.3.3, R Core Team, 2017) or with JASP (Version 0.14.1, JASP Team, 2020) [

      JASP Team, JASP (Version 0.14.1), University of Amsterdam, NL, 2020.

      ]. Mean, median and standard deviation (SD) or confidence intervals (CI) were reported. Intraclass correlation coefficients (Cronbach's α [
      • Cronbach L.J.
      Coefficient alpha and the internal structure of tests.
      ]) were calculated for the measured parameters. Continuous data was compared with unpaired and paired t-tests; ordinal data was compared with Chi square test. P-values below 0.05 were considered significant. Combined means were calculated from the literature with StatTools [

      [email protected], StatTools: Combine Means and SDs Into One Group Program, 2017. 〈http://www.obg.cuhk.edu.hk/ResearchSupport/StatTools/CombineMeansSDs_Pgm.php〉. (Accessed May 14 2021).

      ].

      3. Results

      3.1 Measurements

      The mean HTA of all 67 patients was 25°± 25° when measured according to Bernageau and Godefroy [
      • Kronberg M.
      • Brostrom L.A.
      Rotation osteotomy of the proximal humerus to stabilise the shoulder. Five years' experience.
      ] and 24° ± 27° with the Circle-method. The difference between the methods was not significant (p = 0.57, Table 2). The HTAs of patients with unstable shoulders were not different between methods (p = 0.26, B&G: 24° ± 28; Circle-method: 27° ± 30°, Table 2). The HTAs of patients with stable shoulders showed a significant difference between methods (p = 0.004; B&G: 26° ± 22°; Circle-method: 21° ± 24°; Table 2).
      Table 2Humeral torsion angle statistics by method for stable/unstable shoulders: B&G-method
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      vs. Circle-method.
      GroupspnMean (deg)min. (deg)max. (deg)SD (deg)
      allCircle-method0.576724-738327
      B&G-method6725-648025
      StableCircle-method0.0043221-245824
      B&G-method3226-216722
      UnstableCircle-method0.263527-738330
      B&G-method3524-648028
      Circle-methodStable0.473221-245824
      Unstable3527-738330
      B&G-method, controlStable0.743226-216722
      Unstable3524-648028

      3.2 Interobserver variability

      All 3 investigators have measured the humeral head axis angles with both methods as well as the epicondylar angles in all 67 patients, i.e. 603 measurements were used for reliability calculation. The ICC between 3 investigators over all patients was for the humeral head axis 0.85 with B&G-method and Circle-method and for the epicondylar angle 0.87 (Confidence Interval 0.80–0.92), indicating an excellent agreement. The agreement for the HTA measurements was excellent for both methods with an ICC of 0.98 (Confidence Interval 0.98–0.99).

      3.3 Hill Sachs lesions

      Of the 35 patients with unstable shoulders 21 (60%) presented a Hill-Sachs lesions. The HTAs of these patients showed no difference between the methods (p = 0.13, B&G: 23° ± 28°; Circle-method: 26° ± 32°; Table 3). The Circle-method revealed no statistically significant difference between patients with Hill-Sachs lesion and those without (p = 0.61; no Hill-Sachs: 28° ± 29°; with Hill-Sachs: 26° ± 32°, Table 2). No difference either was found with B&G-method (p = 0. 67; no Hill-Sachs: 26° ± 30°; with Hill-Sachs: 22° ± 28°, Table 3).
      Table 3Humeral torsion angle statistics by method for shoulders with/without Hill-Sachs lesions: B&G-method
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      vs. Circle-method.
      GroupspnMean (deg)min. (deg)max. (deg)SD (deg)
      No Hill-Sachs lesionCircle-method0.751428-278329
      B&G-method1426-188030
      With Hill- Sachs lesionCircle-method0.132126-747132
      B&G-method2123-646628
      Circle-methodNo Hill-Sachs lesion0.611428-278329
      With Hill-Sachs lesion2126-737132
      B&G-methodNo Hill-Sachs lesion0.671426-188030
      With Hill-Sachs lesion2122-646628

      3.4 Shoulder Instability

      The Circle-method revealed no statistically significant difference between stable and unstable shoulders (p = 0.47; stable: 21° ± 24°, n = 32; unstable: 27° ± 30°, n = 35, Table 2). No difference either with B&G-method (p = 0. 47; stable: 26° ± 22°, n = 32; unstable: 24° ± 28°, n = 35; Table 1).

      4. Discussion

      While the B&G-method is well established and frequently used with CT- and MRI-sections, it implies uncertainties in cases where the edges of the articular surface are unclear, e.g. Hill-Sachs-lesions [
      • Hill H.A.
      • Sachs M.D.
      The grooved defect of the humeral head: a frequently unrecognized complication of dislocations of the shoulder joint.
      ]. Therefore, we have developed and evaluated a new measurement method for the humeral torsion angle on MRI-scans. The Circle-Method was found to be as precise as the gold standard method of Bernageau and Godefroy but seemed easier to apply. However, because the observers in this study were very experienced and the training phase consisted of 50 patients, no statistical difference was finally found between the methods in patients with or without Hill-Sachs lesions.
      The following considerations have led to suppose that the Circle-method might give less ambiguous measurements than the B&G-method in cases with Hill-Sachs lesions: visually aligning an arc with an inherently circular joint line is more reliable than intersecting a line with two not distinctively unique landmarks as in B&G-method, particularly when lesions obscure the targeted landmarks. Furthermore, at least three points define an arc, whereas only two points are needed to define a line. There are many clouds of representative points available along e.g. the joint line that are known to be connected and lying on an arc. The goodness of fit of the arc is thus more tolerant to erratical or missing individual points.
      Next, a drawback of the B&G-method is its strong dependence of position of the axial section plane used to make the measurements. The position of the anterior and posterior edge of the cartilage varies with the cranio-caudal position of the section plane. As a rule, the measurements are made in the axial section plane through the upper limit of the subscapular tendon, marking the upper limit of the lesser tubercle. The Circle-method yields equivalent HTAs in a greater range of sections due to its independence of exact anteroposterior measurement points.
      For both methods, the determination of the transepicondylar axis is associated with a considerable measurement error due to the low quality of the scout sections. Moreover, as the sections through the epicondyles are often paracoronary, serial measurements are needed to identify the epicondyles and determine the axis. This compound uncertainty of the epicondylar axis is equal in both the B&G- and the Circle-method and contributes considerably to the great overall variability in HTA values. Furthermore, both modalities are subject to the error caused by movements of the elbow during the scan.
      To find a normal value of the HTA, we were reviewing the literature (Table 1). Of the 17 reviewed publications with sufficient number of measurements (number of shoulders and means) the combined means were calculated of measurements in CT-images [
      • Chu Y.L.
      • Chen C.K.
      • Liu Y.C.
      • Lu T.W.
      • Liaw C.K.
      Geometrical analysis for assessing torsional alignment of humerus.
      ,
      • Dähnert W.
      • Bernd W.
      [Computer tomography determination of the torsion angle of the humerus].
      ,
      • Matsumura N.
      • Ogawa K.
      • Kobayashi S.
      • Oki S.
      • Watanabe A.
      • Ikegami H.
      • Toyama Y.
      Morphologic features of humeral head and glenoid version in the normal glenohumeral joint.
      ,
      • Myers J.B.
      • Oyama S.
      • Clarke J.P.
      Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
      ,
      • Oh J.H.
      • Kim W.
      • Cayetano Jr., A.A.
      Measurement methods for humeral retroversion using two-dimensional computed tomography scans: which is most concordant with the standard method?.
      ,
      • Raniga S.
      • Knowles N.K.
      • West E.
      • Ferreira L.M.
      • Athwal G.S.
      The Walch type B humerus: glenoid retroversion is associated with torsional differences in the humerus.
      ,
      • Symeonides P.P.
      • Hatzokos I.
      • Christoforides J.
      • Pournaras J.
      Humeral head torsion in recurrent anterior dislocation of the shoulder.
      ], in radiographs [
      • Cyprien J.M.
      • Vasey H.M.
      • Burdet A.
      • Bonvin J.C.
      • Kritsikis N.
      • Vuagnat P.
      Humeral retrotorsion and glenohumeral relationship in the normal shoulder and in recurrent anterior dislocation (Scapulometry).
      ,
      • Kronberg M.
      • Brostrom L.A.
      • Soderlund V.
      Retroversion of the humeral head in the normal shoulder and its relationship to the normal range of motion.
      ,
      • Pieper H.G.
      Shoulder dislocation in skiing: choice of surgical method depending on the degree of humeral retrotorsion.
      ] and by ultrasonic scans [
      • Dashottar A.
      • Borstad J.D.
      Validity of measuring humeral torsion using palpation of bicipital tuberosities.
      ,
      • Hannah D.C.
      • Scibek J.S.
      • Carcia C.R.
      • Phelps A.L.
      Reliability and Validity of a 1-Person Technique to Measure Humeral Torsion Using Ultrasound.
      ,
      • Ito N.
      • Eto M.
      • Maeda K.
      • Rabbi M.E.
      • Iwasaki K.
      Ultrasonographic measurement of humeral torsion.
      ,
      • Myers J.B.
      • Oyama S.
      • Clarke J.P.
      Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
      ,
      • Whiteley R.
      • Ginn K.
      • Nicholson L.
      • Adams R.
      Indirect ultrasound measurement of humeral torsion in adolescent baseball players and non-athletic adults: reliability and significance.
      ,
      • Yaari L.S.
      • Mullaney M.J.
      • Fukunaga T.
      • Thein R.
      • McHugh M.P.
      • Nicholas S.J.
      Assessment of humeral torsion by palpation in baseball pitchers: a validation study.
      ,
      • Yoshida M.
      • Saho Y.
      • Katayose M.
      Reliability of measuring humeral retroversion using ultrasound imaging in a healthy nonthrowing population.
      ]. The combined mean HTAs were 29° ± 25° (mean ± SD, n = 993), 27° ± 16° (n = 1673) and 36° ± 24° (n = 705), respectively. The results of this study (24° ± 27° with Circle-method and 25° ± 25° with B&G [
      • Bernageau J.
      • Godefroy D.
      Le Scanner de l′epaule.
      ]) are somewhat lower than the combined means derived from CT-scans or X-rays, but with very similar variances (Table 1). This range is wide, and therefore, it is impossible to define a normal value for the HTA. It is conceivable that the true biological diversity of HTAs is overlayed by a methodological variability, as in the MRI examination the epicondylar and the shoulder images are acquired with a time delay. Even when the patient does not move, a reposition of the arm cannot always be excluded.
      The means for all subgroups were statistically not significantly different between methods, except for the stable shoulders. The Circle-method gave 5° lower angles than B&G-method for stable shoulders, with comparable standard deviations. There is no explanation for this only difference in the current study. Both methods, however, did not reveal statistically significant differences between the HTAs of patients with stable or unstable shoulders. Thus, neither the B&G-method nor the Circle-method could demonstrate the HTA to be a predictor of shoulder instability. This is in accordance with the literature which is contradictory regarding the correlation between diminished retrotorsion and joint dislocation. One group has claimed decreased retrotorsion to be a factor in recurrent shoulder dislocations, as well as dislocations after surgical correction [
      • Kronberg M.
      • Brostrom L.A.
      Rotation osteotomy of the proximal humerus to stabilise the shoulder. Five years' experience.
      ]. However, our data do not support recommendations for a surgical torsion correction.
      In the group with unstable shoulders 60% of patients showed Hill-Sachs-lesions. While we initially expected to see a narrower standard deviation for the Circle-method than for the B&G-method, we found them to be comparable. An explanation could be the experienced investigators who had performed the B&G-method for years as well as a very long training phase of 50 patients.

      5. Conclusion

      The Circle-method describes a new measurement technique for the humeral torsion. It was found to be as precise as the gold standard method of Bernageau and Godefroy but easier to apply. However, because the observers in this study were very experienced, no statistical difference was found in patients with or without Hill-Sachs lesions. Nonetheless, we hypothesize that the Circle-method could yield more constant values in cases with substantial Hill-Sachs lesions and less experienced observers. Further research is needed into whether beginners would achieve more consistent values with the Circle-method than with the B&G method.

      Ethical statement

      Approval from the Institutional Review Board: 17.9.2007.

      Funding

      None to declare.

      CRediT authorship contribution statement

      Stefan Demarmels: Investigation, Formal analysis, Methodology, Validation, Writing – original draft, Writing – review & editing. Holger Grehn: Investigation, Methodology, Validation. Dirk Müller: Investigation, Methodology, Validation. Andreas U. Freiburghaus: Formal analysis, Visualization, Writing – original draft, Writing – review & editing. Arno Frigg: Investigation, Conceptualization, Formal analysis, Methodology, Project administration, Validation, Writing – original draft, Writing – review & editing.

      Level of evidence

      Diagnostic Studies Level 3.

      Declaration of Competing Interest

      The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

      References

        • Hill J.A.
        • Tkach L.
        • Hendrix R.W.
        A study of glenohumeral orientation in patients with anterior recurrent shoulder dislocations using computerized axial tomography.
        Orthop. Rev. 1989; 18: 84-91
      1. R. Martin, Lehrbuch der Anthropologie, Verlag von Gustav Fischer, Jena, 1914.

        • Boileau P.
        • Bicknell R.T.
        • Mazzoleni N.
        • Walch G.
        • Urien J.P.
        CT scan method accurately assesses humeral head retroversion.
        Clin. Orthop. Relat. Res. 2008; 466: 661-669
        • Cassagnaud X.
        • Maynou C.
        • Petroff E.
        • Dujardin C.
        • Mestdagh H.
        A study of reproducibility of an original method of CT measurement of the lateralization of the intertubercular groove and humeral retroversion.
        Surg. Radio. Anat. 2003; 25: 145-151
        • Chu Y.L.
        • Chen C.K.
        • Liu Y.C.
        • Lu T.W.
        • Liaw C.K.
        Geometrical analysis for assessing torsional alignment of humerus.
        BMC Musculoskelet. Disord. 2020; 21: 92
        • Cyprien J.M.
        • Vasey H.M.
        • Burdet A.
        • Bonvin J.C.
        • Kritsikis N.
        • Vuagnat P.
        Humeral retrotorsion and glenohumeral relationship in the normal shoulder and in recurrent anterior dislocation (Scapulometry).
        Clin. Orthop. Relat. Res. 1983; 175: 8-17
        • Dähnert W.
        • Bernd W.
        [Computer tomography determination of the torsion angle of the humerus].
        Z. fur Orthopadie und ihre Grenzgeb. 1986; 124: 46-49
        • Dashottar A.
        • Borstad J.D.
        Validity of measuring humeral torsion using palpation of bicipital tuberosities.
        Physiother. Theory Pr. 2013; 29: 67-74
        • Debevoise N.T.
        • Hyatt G.W.
        • Townsend G.B.
        Humeral torsion in recurrent shoulder dislocations. A technic of determination by X-ray.
        Clin. Orthop. Relat. Res. 1971; 76: 87-93
        • DeLude J.A.
        • Bicknell R.T.
        • MacKenzie G.A.
        • Ferreira L.M.
        • Dunning C.E.
        • King G.J.
        • Johnson J.A.
        • Drosdowech D.S.
        An anthropometric study of the bilateral anatomy of the humerus.
        J. Shoulder Elb. Surg. 2007; 16: 477-483
        • Doyle A.J.
        • Burks R.T.
        Comparison of humeral head retroversion with the humeral axis/biceps groove relationship: a study in live subjects and cadavers.
        J. Shoulder Elb. Surg. 1998; 7: 453-457
        • Guenoun D.
        • Le Corroller T.
        • Lagier A.
        • Pauly V.
        • Champsaur P.
        Correlation between the retroversion of the humeral head and the orientation of the intertubercular sulcus: a CT scan anatomical study.
        Surg. Radio. Anat. 2015; 37: 357-361
        • Hannah D.C.
        • Scibek J.S.
        • Carcia C.R.
        • Phelps A.L.
        Reliability and Validity of a 1-Person Technique to Measure Humeral Torsion Using Ultrasound.
        J. Athl. Train. 2018; 53: 590-596
        • Harland U.
        • Diepolder M.
        • Gruber G.
        • Knoss H.P.
        [Sonographic determination of the humerus retrotorsion angle].
        Z. fur Orthopadie und ihre Grenzgeb. 1991; 129: 36-41
        • Harrold F.
        • Wigderowitz C.
        A three-dimensional analysis of humeral head retroversion.
        J. Shoulder Elb. Surg. 2012; 21: 612-617
        • Hernigou P.
        • Duparc F.
        • Filali C.
        Humerus retroversion and shoulder arthroplasty.
        Rev. Chir. Orthop. 1995; 81: 419-427
        • Hernigou P.
        • Duparc F.
        • Hernigou A.
        Determining humeral retroversion with computed tomography.
        J. Bone Jt. Surg. 2002; 84: 1753-1762
        • Ito N.
        • Eto M.
        • Maeda K.
        • Rabbi M.E.
        • Iwasaki K.
        Ultrasonographic measurement of humeral torsion.
        J. Shoulder Elb. Surg. 1995; 4: 157-161
        • Kronberg M.
        • Brostrom L.A.
        • Soderlund V.
        Retroversion of the humeral head in the normal shoulder and its relationship to the normal range of motion.
        Clin. Orthop. Relat. Res. 1990; 253: 113-117
        • Kummer F.J.
        • Perkins R.
        • Zuckerman J.D.
        The use of the bicipital groove for alignment of the humeral stem in shoulder arthroplasty.
        J. Shoulder Elb. Surg. 1998; 7: 144-146
        • Laumann U.
        • Kramps H.A.
        Computer Tomography on Recurrent Shoulder Dislocation.
        in: Bateman J.E. Welsh R.P. Surgery of the Shoulder, B. C. Decker Inc., Philadelphia, 1984: 84-86
        • Matsumura N.
        • Ogawa K.
        • Kobayashi S.
        • Oki S.
        • Watanabe A.
        • Ikegami H.
        • Toyama Y.
        Morphologic features of humeral head and glenoid version in the normal glenohumeral joint.
        J. Shoulder Elb. Surg. 2014; 23: 1724-1730
        • Myers J.B.
        • Oyama S.
        • Clarke J.P.
        Ultrasonographic assessment of humeral retrotorsion in baseball players: a validation study.
        Am. J. Sports Med. 2012; 40: 1155-1160
        • Oh J.H.
        • Kim W.
        • Cayetano Jr., A.A.
        Measurement methods for humeral retroversion using two-dimensional computed tomography scans: which is most concordant with the standard method?.
        Clin. Orthop. Surg. 2017; 9: 223-231
        • Oztuna V.
        • Ozturk H.
        • Eskandari M.M.
        • Kuyurtar F.
        Measurement of the humeral head retroversion angle. A new radiographic method.
        Arch. Orthop. Trauma Surg. 2002; 122: 406-409
        • Pan Z.
        • Chen J.
        • Qu L.
        • Cui Y.
        • Sun C.
        • Zhang H.
        • Yang X.
        • Guan Q.
        Correlation between anatomical parameters of intertubercular sulcus and retroversion angle of humeral head.
        Int J. Clin. Exp. Med. 2015; 8: 4837-4845
        • Patil S.
        • Sethi M.
        • Vasudeva N.
        Determining Angle of Humeral Torsion Using Image Software Technique.
        J. Clin. Diagn. Res. 2016; 10: Ac6-Ac9
        • Pieper H.G.
        Shoulder dislocation in skiing: choice of surgical method depending on the degree of humeral retrotorsion.
        Int J. Sports Med. 1985; 6: 155-160
        • Randelli M.
        • Gambrioli P.L.
        Glenohumeral osteometry by computed-tomography in normal and unstable shoulders.
        Clin. Orthop. Relat. Res. 1986; 208: 151-156
        • Raniga S.
        • Knowles N.K.
        • West E.
        • Ferreira L.M.
        • Athwal G.S.
        The Walch type B humerus: glenoid retroversion is associated with torsional differences in the humerus.
        J. Shoulder Elb. Surg. 2019; 28: 1801-1808
        • Roberts S.N.
        • Foley A.P.
        • Swallow H.M.
        • Wallace W.A.
        • Coughlan D.P.
        The geometry of the humeral head and the design of prostheses.
        J. Bone Jt. Surg. 1991; 73: 647-650
        • Robertson D.D.
        • Yuan J.
        • Bigliani L.U.
        • Flatow E.L.
        • Yamaguchi K.
        Three-dimensional analysis of the proximal part of the humerus: relevance to arthroplasty.
        J. Bone Jt. Surg. 2000; 82: 1594-1602
        • Saha A.K.
        Dynamic stability of the glenohumeral joint.
        Acta Orthop. Scand. 1971; 42: 491-505
        • Saka M.
        • Yamauchi H.
        • Hoshi K.
        • Yoshioka T.
        • Hamada H.
        • Gamada K.
        Reliability and validity in measurement of true humeral retroversion by a three-dimensional cylinder fitting method.
        J. Shoulder Elb. Surg. 2015; 24: 809-813
        • Soderlund V.
        • Kronberg M.
        • Brostrom L.A.
        Radiologic assessment of humeral head retroversion. Description of a new method.
        Acta Radio. 1989; 30: 501-505
        • Symeonides P.P.
        • Hatzokos I.
        • Christoforides J.
        • Pournaras J.
        Humeral head torsion in recurrent anterior dislocation of the shoulder.
        J. Bone Jt. Surg. -Br. Vol. 1995; 77: 687-690
        • Tellioglu A.M.
        • Karakas S.
        • Taskin F.
        Determining torsion angle of humerus head using MRI method.
        Turk. J. Med Sci. 2014; 44: 639-642
        • Whiteley R.
        • Ginn K.
        • Nicholson L.
        • Adams R.
        Indirect ultrasound measurement of humeral torsion in adolescent baseball players and non-athletic adults: reliability and significance.
        J. Sci. Med Sport. 2006; 9: 310-318
        • Yaari L.S.
        • Mullaney M.J.
        • Fukunaga T.
        • Thein R.
        • McHugh M.P.
        • Nicholas S.J.
        Assessment of humeral torsion by palpation in baseball pitchers: a validation study.
        Int J. Sports Phys. Th. 2020; 15: 1073-1079
        • Yoshida M.
        • Saho Y.
        • Katayose M.
        Reliability of measuring humeral retroversion using ultrasound imaging in a healthy nonthrowing population.
        J. Sport Rehabil. 2010; 19: 149-160
        • Kronberg M.
        • Brostrom L.A.
        Rotation osteotomy of the proximal humerus to stabilise the shoulder. Five years' experience.
        J. Bone Jt. Surg. 1995; 77: 924-927
        • Bernageau J.
        • Godefroy D.
        Le Scanner de l′epaule.
        in: Morvan C. Massare G. Frija G. Le scanner ostéo-articulaire. Techniques d′utilisation, indication, résultats, Vigot, Paris, Paris1986: 171-178
        • Hill H.A.
        • Sachs M.D.
        The grooved defect of the humeral head: a frequently unrecognized complication of dislocations of the shoulder joint.
        Radiology. 1940; 35: 690-700
        • Williams J.
        The declaration of Helsinki and public health.
        Bull. World Health Organ. 2008; 86: 650-651
        • Kellgren J.H.
        • Lawrence J.S.
        Radiological assessment of osteo-arthrosis.
        Ann. Rheum. Dis. 1957; 16: 494-502
        • Patte D.
        Classification of rotator cuff lesions.
        Clin. Orthop. Relat. Res. 1990; 254: 81-86
      2. JASP Team, JASP (Version 0.14.1), University of Amsterdam, NL, 2020.

        • Cronbach L.J.
        Coefficient alpha and the internal structure of tests.
        Psychometrika. 1951; 16: 297-334
      3. [email protected], StatTools: Combine Means and SDs Into One Group Program, 2017. 〈http://www.obg.cuhk.edu.hk/ResearchSupport/StatTools/CombineMeansSDs_Pgm.php〉. (Accessed May 14 2021).