Abstract
A computational approach for studies on the biomechanical compatibility of hip implants based on detailed three-dimensional finite element models is presented. With the anticipation for a meaningful computational prediction of bone behavior under endoprosthetic treatment a general modeling approach taking into account the model generation from radiological data and the recovery of statically equivalent joint loads and muscle forces from a best fit between simulated and measured bone mass density distribution was developed. Computational results for three different endoprostheses systems are presented and compared with clinical studies. The potential for aiding the development process of new prosthesis designs regarding their biomechanical compatibility is demonstrated.
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Wolff J.: Das Gesetz der Transformationder Knochen. Hirschwald, Berlin (1892)
Pauwels F.: Atlas zur Biomechanik der gesunden und kranken Hüfte. Springer, Berlin (1973)
Carter D.R., Orr T.E., Fyhrie D.P.: Relationship between loading history and femoral cancellous bone architechture. J. Biomech. 22, 231–244 (1989)
Beaupre G.S., Orr T.E., Carter D.R.: An approach for time-dependent bone modeling and remodeling—theoretical development. J. Orthop. Res. 8, 651–661 (1990)
Beaupre G.S., Orr T.E., Carter D.R.: An approach for time-dependent bone modelling and remodelling: a preliminary remodeling simulation. J. Orthop. Res. 8, 662–670 (1990)
Weinans H., Huiskes R., Grootenboer H.J.: The behavior of adaptive bone remodeling simulation models. J. Biomech. 25, 1425–1441 (1992)
Nackenhorst U.: Numerical simulation of stress stimulated bone remodeling. Technische Mechanik 17, 31–40 (1997)
Jacobs C.R., Levenston M.E., Beaupre G.S., Simo J.C., Carter D.R.: Numerical instabilities in bone-remodeling simulations: the advantage of a node-based finite element approach. J. Biomech. 28, 449–459 (1995)
Jacobs C.R., Simo J.C., Beaupre G.S., Carter D.R.: Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations. J. Biomech. 30, 603–613 (1997)
Krstin N., Nackenhorst U., Lammering R.: Zur konstitutiven Beschreibung des anisotropen beanspruchungsadaptiven Knochenumbaus. Technische Mechanik 20, 31–40 (2000)
Doblare M., Garcia J.M.: Anisotropic bone remodelling model based on a continuum damage–repair theory. J. Biomech. 35, 1–17 (2002)
Kuhl E., Menzel A., Steinmann P.: Computational modeling of growth—A critical review, a classification of concepts and two new consistent approaches. Comput. Mech. 32, 71–88 (2003)
Cowin S.C., Hegedus D.H.: Bone remodeling. I. Theory of adaptive elasticity. J. Elast. 6, 313–326 (1976)
Cowin S.C.: Bone Mechanics Handbook. CRC Press, Boca Raton (2001)
Martin R.B.: Is all cortical bone remodeling initiated by microdamage? Bone 30, 8–13 (2002)
You L., Cowin S.C., Schaffler M.B., Weinbaum S.: A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix. J. Biomech. 34, 1375–1386 (2001)
MacGinitie L.A., Stanley G.D., Bieber W.A., Wu D.D.: Bone streaming potentials and currents depend on anatomical structure and loading orientation. J. Biomech. 30, 1133–1139 (1997)
Bergmann G., Deuretzbacher G., Heller M., Graichen F., Rohlmann A., Strauss J., Duda G.N.: Hip contact forces and gaint pattern from routine activities. J. Biomech. 34, 859–871 (2001)
Heller M.O., Bergmann G., Kassi J.P., Claes L., Haas N.P., Duda G.N.: Determination of muscle loading at the hip joint for use in pre-clinical testing. J. Biomech. 38, 1155–1163 (2005)
Duda G., Heller M., Bergmann G.: Musculosceletal loading database: loading conditions of the proximal femur. Theor. Issues Ergon. Sci. 6, 287–292 (2005)
Lemaitre J., Chaboche J.-L.: Mechanics of Solid Materials. Cambridge University Press, Cambridge (1990)
Simo J.C., Hughes T.J.R.: Computational Inelasticity. Springer, Berlin (1998)
Wriggers P.: Nonlinear Finite Element Methods. Springer, Berlin (2008)
Carter D.R., Hayes W.C.: The behavior of bone as a two-phase porous structure. J. Bone Joint Surg. 59, 954–962 (1977)
Linde F., Norgaard P., Hvid I., Odgaard A., Soballe K.: Mechanical properties of trabecular bone: dependency on strain rate. J. Biomech. 24, 803–809 (1991)
Cody D., Hou F.J., Divine G.W., Fyhrie D.P.: Short term in vivo precision of proximal femoral finite element modeling. Ann. Biomed. Eng. 28, 408–414 (2000)
Keyak J.H., Falkinstein Y.: Comparison of in situ and in vitro CT scan-based finite element model predictions of proximal femoral fracture load. Med. Eng. Phys. 25, 781–787 (2003)
Snyder S.M., Schneider E.: Estimation of mechanical properties of cortical bone by computed tomography. J. Orthop. Res. 9, 422–431 (1991)
Wirtz D.C., Schiffers N., Pandorf T., Radermacher K., Weichert D., Forst R.: Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur. J. Biomech. 33, 1325–1330 (2000)
Rho J.Y., Hobatho M.C., Ashman R.B.: Relations of mechanical properties to density and CT numbers in human bone. Med. Eng. Phys. 17, 347–355 (1995)
Austmann R.L., Milner J.S., Holdsworth D.W., Dunning C.E.: The effect on the density-modulus relationship selected to apply material properties in a finite element model of long bone. J. Biomech. 41, 3171–3176 (2008)
Rice J.C., Cowin S.C., Bowman J.A.: On the dependence of elasticity and strength of cancellous bone on apparent density. J. Biomech. 21, 155–168 (1988)
Peng L., Bai J., Zeng X., Zhou Y.: Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Med. Eng. Phys. 28, 227–233 (2006)
Baca V., Horak Z., Mikulenka P., Dzupa V.: Comparison of an inhomogeneous orthotropic and isotropic material models used for FE analyses. Med. Eng. Phys. 30, 924–930 (2008)
Zienkiewicz O.C., Zhu J.Z.: The superconvergence patch recovery and a posteriori error estimates. Part I. The recovery techniques. Int. J. Numer. Methods Eng. 33, 1331–1364 (1992)
Weinans H., Huiskes R., Verdonschot B., Van Rietbergen N.: The effect of adaptive bone remodeling threshold levels on resoprtion around noncemented hip stems. Adv. Bioeng. 20, 303–306 (1991)
National Library of Medicine. Visible Human Project. 08 July 2009. http://www.nlm.nih.gov/research/visible/visible_human.html
Yosibash Z., Padan R., Joskowicz L., Milgrom C.: A CT-based high-order finite element analysis of the human proximal femur compared to in vitro experiments. J. Biomech. Eng. 129, 297–309 (2007)
Fischer K.J., Jacobs C.R., Carter D.R.: Computational method for determination of bone and joints loads using bone density distributions. J. Biomech. 28, 1127–1135 (1995)
Ebbecke B., Nackenhorst U.: Simulation of stress adaptive bone remodeling. J. Struct. Mech. 38, 177–180 (2005)
Roth A., Richartz G., Sander K., Sachse A., Fuhrmann R., Wagner A., Venbrocks R.A.: Verlauf der periprothetischen Knochendichte nach Hüfttotalendoprothesenimplantation. Orthopäde 34, 334–344 (2005)
Morrey B.F., Adams R.A., Kessler M.: A conservative femoral replacement for total hip arthroplasty—a prospective study. J. Bone Joint Surg. 82, 952–958 (2000)
Zweymüller K., Lintner F., Semlitsch M.: Biologic fixation of a press-fit titanium hip joint endoprosthesis. Clin. Orthop. Relat. Res. 235, 195–206 (1988)
Effenberger H., Ramsauer T., Böm G., Hilzensauer G., Dorn U., Lintner F.: Successful hip arthroplasty using cementless titanium implants in rheumatoid arthritis. Arch. Orthop. Trauma Surg. 122, 80–87 (2001)
Hanebeck, J.: Postoperative Knochendichteänderungen am Femur nach Implantation der zementfreien Zweymüller-Hüftendoprothese unter Berücksichtigung klinischer und röntgenologischer Parameter. PhD Thesis, Humbold Universität Berlin (2001)
Zwartele R., Peters A., Brouwers J., Olsthoorn P., Brand R., Doets C.: Long-term results of cementless primary total hip arthroplasty with a threaded cup and a tapered, rectangular titanium stem in rheumatoid arthritis and osteoarthritis. Int. Orthop. 32, 581–587 (2008)
Daniel J., Pynsent P.B., McMinn D.J.: Metal-on-metal resurfacing of the hip in patients under the age of 55 years with osteoarthritis. J. Bone Joint Surg. Br. 86, 177–184 (2004)
Falez F., Favetti F., Casella F., Panegrossi G.: Hip resurfacing: why does it fail? Early results and critical analysis of our first 60 cases. Int. Orthop. 32, 209–216 (2007)
Lavigne M., Kalhor M., Beck M., Ganz R., Leunig M.: Distribution of vascular foramina around the femoral head and neck junction: relevance for conservative intracapsular procedures of the hip. Orthop. Clin. North Am. 36, 171–176 (2005)
Little C.P., Ruiz A.L., Harding I.J., McLardy-Smith P., Gundle R., Murray D.W., Athanasou N.A.: Osteonecrosis in retrieved femoral heads after failed resurfacing arthroplasty of the hip. J. Bone Joint Surg. Br. 87, 320–323 (2005)
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Lutz, A., Nackenhorst, U. Numerical investigations on the biomechanical compatibility of hip-joint endoprostheses. Arch Appl Mech 80, 503–512 (2010). https://doi.org/10.1007/s00419-009-0380-4
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DOI: https://doi.org/10.1007/s00419-009-0380-4