Medical Engineering & Physics
Volume 32, Issue 9 , Pages 1050-1056 , November 2010

A musculoskeletal shoulder model based on pseudo-inverse and null-space optimization

  • Alexandre Terrier

      Affiliations

    • Laboratory of Biomechanical Orthopedics, Ecole Polytechnique Fédérale de Lausanne, Switzerland
    • Corresponding Author InformationCorresponding author at: Laboratory of Biomechanical Orthopedics, Ecole Polytechnique Fédérale de Lausanne, Station 15, 1015 Lausanne, Switzerland. Tel.: +41 21 693 94 98; fax: +41 21 693 86 60.
  • ,
  • Martin Aeberhard

      Affiliations

    • Laboratory of Biomechanical Orthopedics, Ecole Polytechnique Fédérale de Lausanne, Switzerland
  • ,
  • Yvan Michellod

      Affiliations

    • Automatic Control Laboratory, Ecole Polytechnique Fédérale de Lausanne, Switzerland
  • ,
  • Philippe Mullhaupt

      Affiliations

    • Automatic Control Laboratory, Ecole Polytechnique Fédérale de Lausanne, Switzerland
  • ,
  • Denis Gillet

      Affiliations

    • Automatic Control Laboratory, Ecole Polytechnique Fédérale de Lausanne, Switzerland
  • ,
  • Alain Farron

      Affiliations

    • Department of Musculoskeletal Medicine, University Hospital Centre and University of Lausanne, Switzerland
  • ,
  • Dominique P. Pioletti

      Affiliations

    • Laboratory of Biomechanical Orthopedics, Ecole Polytechnique Fédérale de Lausanne, Switzerland

Received 17 December 2009 ,Revised 19 May 2010 ,Accepted 14 July 2010.

References 

  1. Inman VT, Saunders JB, Abbott LC. Observations of the function of the shoulder joint. J Bone Joint Surg Am. 1944;26:1–30
  2. Poppen NK, Walker PS. Forces at the glenohumeral joint in abduction. Clin Orthop. 1978;135:165–170
  3. Terrier A, Vogel A, Capezzali M, Farron A. An algorithm to allow humerus translation in the indeterminate problem of shoulder abduction. Med Eng Phys. 2008;30(6):710–716
  4. Terrier A, Reist A, Vogel A, Farron A. Effect of supraspinatus deficiency on humerus translation and glenohumeral contact force during abduction. Clin Biomech. 2007;22(6):645–651
  5. Karlsson D, Peterson B. Towards a model for force predictions in the human shoulder. J Biomech. 1992;25(2):189–199
  6. Fick R. Handbuch des Anatomie und Mechanik der Gelencke. Jena: Gustav Fischer; 1910;
  7. van der Helm FC. Analysis of the kinematic and dynamic behavior of the shoulder mechanism. J Biomech. 1994;27(5):527–550
  8. Charlton IW, Johnson GR. A model for the prediction of the forces at the glenohumeral joint. Proc Inst Mech Eng [H]. 2006;220(8):801–812
  9. Yanagawa T, Goodwin CJ, Shelburne KB, Giphart JE, Torry MR, Pandy MG. Contributions of the individual muscles of the shoulder to glenohumeral joint stability during abduction. J Biomech Eng. 2008;130(2):021024
  10. Holzbaur KR, Murray WM, Delp SL. A model of the upper extremity for simulating musculoskeletal surgery and analyzing neuromuscular control. Ann Biomed Eng. 2005;33(6):829–840
  11. Khatib O, Demircan E, De Sapio V, Sentis L, Besier T, Delp S. Robotics-based synthesis of human motion. J Physiol Paris. 2009;103(3–5):211–219
  12. Dickerson CR, Chaffin DB, Hughes RE. A mathematical musculoskeletal shoulder model for proactive ergonomic analysis. Comput Methods Biomech Biomed Eng. 2007;10(6):389–400
  13. Schouten AC, Mugge W, van der Helm FC. NMClab, a model to assess the contributions of muscle visco-elasticity and afferent feedback to joint dynamics. J Biomech. 2008;41(8):1659–1667
  14. Song D, Lan N, Loeb GE, Gordon J. Model-based sensorimotor integration for multi-joint control: development of a virtual arm model. Ann Biomed Eng. 2008;36(6):1033–1048
  15. Charlton IW, Johnson GR. Application of spherical and cylindrical wrapping algorithms in a musculoskeletal model of the upper limb. J Biomech. 2001;34(9):1209–1216
  16. Marsden SP, Swailes DC, Johnson GR. Algorithms for exact multi-object muscle wrapping and application to the deltoid muscle wrapping around the humerus. Proc Inst Mech Eng [H]. 2008;222(7):1081–1095
  17. Liu J, Hughes RE, Smutz WP, Niebur G, Nan-An K. Roles of deltoid and rotator cuff muscles in shoulder elevation. Clin Biomech. 1997;12(1):32–38
  18. Ackland DC, Pak P, Richardson M, Pandy MG. Moment arms of the muscles crossing the anatomical shoulder. J Anat. 2008;213(4):383–390
  19. Favre P, Sheikh R, Fucentese SF, Jacob HA. An algorithm for estimation of shoulder muscle forces for clinical use. Clin Biomech. 2005;20(8):822–833
  20. Veeger HE, Van der Helm FC, Van der Woude LH, Pronk GM, Rozendal RH. Inertia and muscle contraction parameters for musculoskeletal modelling of the shoulder mechanism. J Biomech. 1991;24(7):615–629
  21. Wu G, van der Helm FC, Veeger HE, Makhsous M, Van Roy P, Anglin C, et al. ISB recommendation on definitions of joint coordinate systems of various joints for the reporting of human joint motion. Part II. Shoulder, elbow, wrist and hand. J Biomech. 2005;38(5):981–992
  22. Kawamura S, Kino H, Won C. High-speed manipulation by using parallel wire-driven robots. Robotica. 2000;18:13–21
  23. Crowninshield RD, Brand RA. A physiologically based criterion of muscle force prediction in locomotion. J Biomech. 1981;14(11):793–801
  24. Bergmann G, Graichen F, Bender A, Kaab M, Rohlmann A, Westerhoff P. In vivo glenohumeral contact forces—measurements in the first patient 7 months postoperatively. J Biomech. 2007;40(10):2139–2149
  25. Coley B. Shoulder function and outcome evaluation after surgery using 3D inertial sensors. School of Engineering. Lausanne: Swiss Federal Institute of Technology; 2007;p. 232
  26. Terrier A, Reist A, Merlini F, Farron A. Simulated joint and muscle forces in reversed and anatomic shoulder prostheses. J Bone Joint Surg Br. 2008;90(6):751–756
  27. Favre P, Jacob HA, Gerber C. Changes in shoulder muscle function with humeral position: a graphical description. J Shoulder Elbow Surg. 2009;18(1):114–121
  28. Kuechle DK, Newman SR, Itoi E, Niebur GL, Morrey BF, An KN. The relevance of the moment arm of shoulder muscles with respect to axial rotation of the glenohumeral joint in four positions. Clin Biomech (Bristol, Avon). 2000;15(5):322–329
  29. Kuechle DK, Newman SR, Itoi E, Morrey BF, An KN. Shoulder muscle moment arms during horizontal flexion and elevation. J Shoulder Elbow Surg. 1997;6(5):429–439
  30. Bassett RW, Browne AO, Morrey BF, An KN. Glenohumeral muscle force and moment mechanics in a position of shoulder instability. J Biomech. 1990;23(5):405–415
  31. Graichen H, Englmeier KH, Reiser M, Eckstein F. An in vivo technique for determining 3D muscular moment arms in different joint positions and during muscular activation—application to the supraspinatus. Clin Biomech (Bristol, Avon). 2001;16(5):389–394
  32. Juul-Kristensen B, Bojsen-Moller F, Finsen L, Eriksson J, Johansson G, Stahlberg F, et al. Muscle sizes and moment arms of rotator cuff muscles determined by magnetic resonance imaging. Cells Tissues Organs. 2000;167(2–3):214–222
  33. Westerhoff P, Graichen F, Bender A, Rohlmann A, Bergmann G. An instrumented implant for in vivo measurement of contact forces and contact moments in the shoulder joint. Med Eng Phys. 2009;31(2):207–213
  34. Westerhoff P, Rohlmann A, Bender A, Graichen F, Bergmann G. In vivo shoulder joint forces at isolated motions. 16th ESB congress. J Biomech. 2008;AT-0726
  35. Terrier A, Merlini F, Pioletti DP, Farron A. Comparison of polyethylene wear in anatomical and reversed shoulder prostheses. J Bone Joint Surg Br. 2009;91:977–982
  36. Debski RE, McMahon PJ, Thompson WO, Woo SL, Warner JJ, Fu FH. A new dynamic testing apparatus to study glenohumeral joint motion. J Biomech. 1995;28(7):869–874
  37. Kedgley AE, Mackenzie GA, Ferreira LM, Drosdowech DS, King GJ, Faber KJ, et al. The effect of muscle loading on the kinematics of in vitro glenohumeral abduction. J Biomech. 2007;40(13):2953–2960
  38. McPherson EJ, Friedman RJ, An YH, Chokesi R, Dooley RL. Anthropometric study of normal glenohumeral relationships. J Shoulder Elbow Surg. 1997;6(2):105–112
  39. Rockwood CA, Matsen FA. second ed.. The shoulder. 2 vols.. Philadelphia: Saunders; 1998;1 CD-ROM
  40. Whitney DE. Resolved motion rate control of manipulators and human prostheses. IEEE Trans Man-Machine Syst. 1969;Mm10(2):47–53
  41. Praagman M, Chadwick EK, van der Helm FC, Veeger HE. The relationship between two different mechanical cost functions and muscle oxygen consumption. J Biomech. 2006;39(4):758–765
  42. Rasmussen J, Damsgaard M, Voigt M. Muscle recruitment by the min/max criterion—a comparative numerical study. J Biomech. 2001;34(3):409–415
  43. Happee R, Van der Helm FC. The control of shoulder muscles during goal directed movements, an inverse dynamic analysis. J Biomech. 1995;28(10):1179–1191
  44. Dickerson CR, Hughes RE, Chaffin DB. Experimental evaluation of a computational shoulder musculoskeletal model. Clin Biomech (Bristol, Avon). 2008;23(7):886–894

PII: S1350-4533(10)00148-7

doi: 10.1016/j.medengphy.2010.07.006

Medical Engineering & Physics
Volume 32, Issue 9 , Pages 1050-1056 , November 2010