Biomechanical modelling of the human sacroiliac joint

Medical & Biological Engineering & Computing - Tập 35 - Trang 77-82 - 1997
N. Zheng1, L. G. Watson2, K. Yong-Hing3
1Division of Biomedical Engineering, University of Saskatchewan, Saskatoon, Canada
2Department of Mechanical Engineering, College of Engineering, University of Saskatchewan, Saskatoon, Canada
3Division of Orthopaedics, College of Medicine, University of Saskatchewan, Saskatoon, Canada

Tóm tắt

From a mechanical point of view, the human pelvis can be considered as a stable, complex three link structure. This three-link closed-chain system explains why there is so little motion in the sacroiliac joint. Based on the minimum total potential energy principle, a quasi-static model of the human pelvis with its three joints is developed. In the model, the articular cartilage linings of the joint surfaces are considered as thin layers with a geometric non-linear behaviour. They lie between two rigid curved surfaces that are represented by small three-node elements. Accessory ligaments and capsules are represented by a number of non-linear springs. A primary model is developed based on a female cadaver. According to the primary model, the translation of the sacroiliac joint in the direction of force is about 0·5 mm in the lateral direction, about 1·8 mm in the antero-posterior direction, and about 1·5 mm in the superior or inferior direction, when a load of 1000 N is applied to the sacrum. When a load of 50 N m−1 is applied to the sacrum, the rotation in the load direction is about 1·6° in axial rotation, about 1·0° in flexion or extension and about 1·1° in lateral bending.

Tài liệu tham khảo

Albee, F. H. (1909): ‘A study of the anatomy and the clinical importance of the sacroiliac joint’,JAMA,53, pp. 1273–1276 Beal, M. C. (1982): ‘The sacroiliac problem: review of anatomy, mechanics, and diagnosis’,J. A.O.A.,10, pp. 678–684 Bernard, T. N., andCassidy, J. D. (1991): ‘Sacroiliac joint syndrome: patho-physiology, diagnosis and management’,inFrymoyer, J. W. (Ed.). ‘The adult spine: Principles and practice’, (Raven Press, New York) pp. 2107–2131 Blankevoort, L., Kuiper, J. H., Huiskes, R., andGrootenboer, H. J. (1991): ‘Articular contact in a three-dimensional model of the knee’,J. Biomech.24 (11), pp. 1019–1031. Blower, P. W., andGriffin, A. J. (1984): ‘Clinical sacroiliac tests in ankylosing spondylitis and other causes of low back pain: two studies’,Ann. Rheum. Dis.,43, pp. 192–195 Bowen, V., andCassidy, J. D. (1981): ‘Macroscopic and microscopic anatomy of the sacroiliac joint from embryonic life until the eight decade’,Spine,6, pp. 620–628 Brooke, R. (1924): ‘The sacro-iliac joint’,J. Anat.,58, pp. 299–305 Cassidy, J. D. (1993): ‘A study of the gross, microscopic, ultrastructural, and comparative anatomy and development of the articular surfaces of the human sacroiliac joint’, Ph D Dissertation, University of Saskatchewan, Canada Egund, N., Olsson, T. H., Schmid, H., andSelvik, G. (1978): ‘Movements in the sacroiliac joints demonstrated with roentgen stereophotogrammetry’,Acta Radiolog, Diag.,19, pp. 833–846 Ishimine, T. (1989): ‘Histopathological study of the aging process in the human sacroiliac joint’,J. Jpn. Orthop. Assoc.,63(9), pp. 1074–84 Kissling, R., Brunner, C., andJacob, H.A.C. (1990): ‘Mobility of the sacroiliac joint in vitro’,Z. Orthop.,128 (3), pp. 282–288. Lavignolle, B., Vital, J. M., Senegas, J.et al. (1983): ‘An approach to the functional anatomy of sacroiliac jointsin vivo’,Anat. Clin.5, pp. 169–174 Maracsco, J. (1986): ‘A variable metric minimizer’,Dr. Dobb's J., March Marymont, J. V., andLynch, M. H. (1986): ‘Exercise-related stress reaction of the sacroiliac joint’,Am. J. Sport Med.,4, pp. 320–323 Miller, J. A., Schultz, A. B., andAnderson, G. B. (1987): ‘Load displacement behavior of sacroiliac joint’,J. Orthop. Res.,5, pp. 92–101 Mow, V. C., Lai, W. M., andHolmes, M. H. (1982): ‘Advanced theoretical and experimental techniques in cartilage research’inHuiskes, R.et al. (Eds.): ‘Biomechanics: principle and applications’, (Martinus Nijhoff Publishers, The Hague) pp. 47–74 Press, W. H.et al. (1992): ‘Numerical recipes’ (Cambridge) 2nd edn. pp. 408–412 Sturesson, B., Selvik, G., andUden, A. (1988): ‘Movements of the sacroiliac joints: a stereophotogrammetric analysis’,Acta Orthop Scand.,59 (5), pp. 89–89 Sturesson, B.;Selvik, G., andUden, A. (1989): ‘Movement of sacroiliac joint, a roentgen sterophotogrammetric analysis’,Spine,14,(2), pp. 162–165 Takayama, A. (1990): ‘Stress analysis and movement in sacroiliac joint’,J. Jpn. Orthop. Assoc.,57 (5), pp. 476–485 Vleeming, A., Wingarden, J. P. V., Dijkstra, P. F.,et al. (1989) ‘Mobility in the sacroiliac joints in the elderly, a kinematic and radiological study’,Clin. Biomech.,7, pp. 70–176 Walheim, G., Olerud, S., andRibbe, T. (1984): ‘Mobility of the pubic symphysis: measurements by an electromechanical method’,Acta Orthop. Scand.,55, pp. 203–208 Walheim, G., andSelvik, G. (1984): ‘Mobility of the pubic symphysis, in vivo measurements with an electromechanic method and a roentgen stereophotogrammetric method’,Clin. Orthop. Res.191, pp. 129–135 Wismans, J., Veldpaus, F., andJanssen, J. (1980): ‘A three-dimensional mathematical model of the knee-joint’,J. Biomech.,13, pp. 677–685 Zheng, N. (1995): ‘Biomechanics of the human sacroiliac joints’. PhD Dissertation, University of Saskatchewan, Canada