BONE DENSITY GROWTH. BIOMECHANICS OF HEALTHY AND PROSTHETIC FEMUR AFTER A TOTAL HIP ARTHROPLASTY
DOI:
https://doi.org/10.26512/ripe.v2i22.20886Palavras-chave:
Bone tissue. Density growth. Continuum mechanics. Finite elements.Resumo
The necessity of computational tools to predict the long-term behavior of bone implants and prosthetic devices in orthopedics, has a tremendous importance, considering population aging as a world wide problem. However, specifically in the hip prosthesis research area, the bone density growth process modeling using the finite element method (FEM) is still a challenging task. In this work, we investigate the bone density growth based on growth and remodeling theories for biological materials and its treatment using continuum mechanics. There are presented the kinematics, the balance laws for mass and linear momentum and the constitutive equations for bone density growth, along with the governing equations resulting from the coupling of the mass and momentum balances. We present an example considering the healthy and the prosthetic femur submitted to loads and bone formed by cortical and spongious tissues, which was carried out using daily physical activities load cases, for locate possible growth and resorption. In addition, a preliminary density growth model to locate bone growth or reabsorption zones for the intact femur and its post-operative condition is presented.
Downloads
Referências
Ambrosi, D., Ateshian, G., Arruda, E., Cowin, S., Dumais, J., Goriely, A., Holzapfel, G.,
Humphrey, J., Kemkemer, R., Kuhl, E., Olberding, J., Taber, L., Garikipati, K., 2011. Perspectives
on biological growth and remodeling. Journal of the Mechanics and Physics of
Solids 59, 863 ”“ 883.
Ashman, R.B., Rho, J.Y., 1988. Elastic modulus of trabecular bone material. Journal of Biomechanics
, 177”“181.
Attard, M.M., 2003. Finite strain isotropic hyperelasticity. International Journal of Solids and
Structures 40, 4353 ”“ 4378.
Avval, P.T., Samiezadeh, S., Klika, V., Bougherara, H., 2015. Investigating stress shielding
spanned by biomimetic polymer-composite vs. metallic hip stem: A computational study
using mechano-biochemical model. Journal of the Mechanical Behavior of Biomedical Materials
, 56 ”“ 67.
Bergmann, G., 2009. Orthoload. (ed.) Charit´e Universitaetsmedizin Berlin (2008). Retrieved
Feb. 1, 2009 from http://www.OrthoLoad.com.
Bougherara, H., Zdero, R., Shah, S., Miric, M., Papini, M., Zalzal, P., Schemitsch, E.H., 2010.
A biomechanical assessment of modular and monoblock revision hip implants using fe analysis
and strain gage measurements. Journal of orthopaedic surgery and research 5, 34.
Carter, D., Beaupre´, G., 2007. Skeletal Function and Form: Mechanobiology of Skeletal Development,
Aging, and Regeneration. Cambridge University Press.
Carter, D.R., Hayes, W.C., 1977. The compressive behavior of bone as a two-phase porous
structure. The Journal of Bone & Joint Surgery 59, 954”“962.
Chandran, P., Azzabi, M., Miles, J., Andrews, M., Bradley, J., 2010. Furlong hydroxyapatitecoated
hip prosthesis vs the charnley cemented hip prosthesis. The Journal of Arthroplasty
, 52”“57.
Chung, J., Hulbert, G.M., 1993. A time integration algorithm for structural dynamics with
improved numerical dissipation: The generalized- method. Journal of Applied Mechanics
, 371 ”“ 375.
COMSOL, 2013. Comsol multiphysics. Reference Manual. 2013 version 4.4, Comsol .
Cowin, S., Doty, S., 2007. Tissue Mechanics. Springer.
Drexler, M., Dwyer, T., Chakravertty, R., Backstein, D., Gross, A.E., Safir, O., 2014. The outcome of modified extended trochanteric osteotomy in revision {THA} for vancouver b2/b3
periprosthetic fractures of the femur. The Journal of Arthroplasty 29, 1598 ”“ 1604.
Epstein, M., Maugin, G.A., 2000. Thermomechanics of volumetric growth in uniform bodies.
International Journal of Plasticity 16, 951”“978.
Fleischman, A.N., Chen, A.F., 2015. Periprosthetic fractures around the femoral stem: overcoming
challenges and avoiding pitfalls. Annals of Translational Medicine 3, 234.
Frenzel, S., V´ecsei, V., Negrin, L., 2015. Periprosthetic femoral fractures””incidence, classification
problems and the proposal of a modified classification scheme. International Orthopaedics
, 1909”“1920.
Gabbar, O.A., Rajan, R.A., Londhe, S., Hyde, I.D., 2008. Ten- to twelve-year follow-up of the
furlong hydroxyapatite-coated femoral stem and threaded acetabular cup in patients younger
than 65 years. The Journal of Arthroplasty 23, 413”“417.
Gibson, L.J., Ashby, M.F., 1982. The mechanics of three-dimensional cellular materials. Proceedings
of the Royal Society of London. A. Mathematical and Physical Sciences 382, 43”“59.
Goldstein, S.A., 1987. The mechanical properties of trabecular bone: Dependence on anatomic
location and function. Journal of Biomechanics 20, 1055”“1061.
Harrigan, T.P., Hamilton, J.J., 1993. Finite element simulation of adaptive bone remodelling: a
stability criterion and a time stepping method. International Journal for Numerical Methods
in Engineering 36, 837”“854.
Husmann, O., Rubin, P.J., Leyvraz, P.F., de Roguin, B., Argenson, J.N., 1997. Threedimensional
morphology of the proximal femur. The Journal of Arthroplasty 12, 444 ”“ 450.
Jones, G.W., Chapman, S.J., 2012. Modeling growth in biological materials. SIAM Review 54,
”“118.
Jonkers, I., Sauwen, N., Lenaerts, G., Mulier, M., der Perre, G.V., Jaecques, S., 2008. Relation
between subject-specific hip joint loading, stress distribution in the proximal femur and bone
mineral density changes after total hip replacement. Journal of Biomechanics 41, 3405 ”“
Kuhl, E., 2014. Growing matter: A review of growth in living systems. Journal of the Mechanical
Behavior of Biomedical Materials 29, 529 ”“543.
Kuhl, E., Balle, F., 2005. Computational modeling of hip replacement surgery: Total hip replacement
vs. hip resurfacing. Technische mechanik 25, 107”“114.
Kuhl, E., Menzel, A., Steinmann, P., 2003. Computational modeling of growth. Computational
Mechanics 32, 71”“88.
Kuhl, E., Steinmann, P., 2003a. Mass and volume specific views on thermodynamics for open
systems. Proceedings of the Royal Society of London. Series A Mathematical, Physical and
Engineering Sciences 459, 2547”“2568.
Kuhl, E., Steinmann, P., 2003b. Theory and numerics of geometrically non-linear open system
mechanics. International Journal for Numerical Methods in Engineering 58, 1593”“1615.
Lubarda, V., Hoger, A., 2002. On the mechanics of solids with a growing mass. International
Journal of Solids and Structures 39, 4627 ”“ 4664.
Malak, T.T., Beard, D., Glyn-Jones, S., 2014. Total hip arthroplasty: recent advances and
controversies. Topical Reviews Artrhitis Research UK , 1”“8.
Menzel, A., Kuhl, E., 2012. Frontiers in growth and remodeling. Mechanics Research Communications
, 1 ”“ 14.
MUMPS, 1996. Multifrontal massively parallel sparse direct solver. http://graal.enslyon.
fr/MUMPS/ (MUMPS Consortium, accessed April 3, 2015).
Natali, A.N., Meroi, E.A., 1989. A review of the biomechanical properties of bone as a material.
Journal of biomedical engineering 11, 266”“76.
Niinomi, M., Nakai, M., 2011. Titanium-based biomaterials for preventing stress shielding
between implant devices and bone. International Journal of Biomaterials 2011, 10.
O’Connor, J., Rodriguez, M., Calas, H., Moreno, E., Palomares, E., 2011. Modelacion y simulacion
de sistemas biomecanicos acoplados utilizando el metodo de elementos finitos. aplicaciones
en ortopedia. IFMBE Proceedings: V Latin American Congress on Biomedical
Engineering CLAIB 2011. Habana, Cuba 33, 619”“622.
Pang, H., Shiwalkar, A., Madormo, C., Taylor, R., Andriacchi, T., Kuhl, E., 2012. Computational
modeling of bone density profiles in response to gait: a subject-specific approach.
Biomechanics and Modeling in Mechanobiology 11, 379”“390.
Piao, C., Wu, D., Luo, M., Ma, H., 2014. Stress shielding effects of two prosthetic groups after
total hip joint simulation replacement. Journal of Orthopaedic Surgery and Research 9, 1”“8.
Pivec, R., Johnson, A.J., Mears, S.C., Mont, M.A., 2012. Hip arthroplasty. The Lancet 380,
”“ 1777.
Prendergrast, P., 1997. Finite element models in tissue mechanics and orthopaedic implant
design. Clinical Biomechanics 12, 343”“366.
Rodriguez, E., Hoger, A., McCulloch, D., 1994. Stress dependent finite growth in soft elastic
tissues. Journal of Biomechanics 27, 445”“467.
Smith, A.J., Dieppe, P., Vernon, K., Porter, M., Blom, A.W., 2012. Failure rates of stemmed
metal-on-metal hip replacements: analysis of data from the national joint registry of england
and wales. The Lancet 379, 1199 ”“ 1204.
Taber, L.A., 1995. Biomechanics of growth, remodeling, and morphogenesis. Applied Mechanics
Reviews 48, 487”“545.
Taylor, M., Prendergast, P.J., 2015. Four decades of finite element analysis of orthopaedic
devices: Where are we now and what are the opportunities? Journal of Biomechanics 48,
”“ 778. In Memory of Rik Huiskes.
Waffenschmidt, T., Menzel, A., Kuhl, E., 2012. Anisotropic density growth of bonea computational
micro-sphere approach. International Journal of Solids and Structures 49, 1928 ”“
Wagner, D.W., Divringi, K., Ozcan, C., Grujicic, M., Pandurangan, B., Grujicic, A., 2010.
Combined musculoskeletal dynamics/structural finite element analysis of femur physiological
loads during walking. Multidiscipline Modeling in Materials and Structures 6, 417”“437.
Wong, J., Bronzino, J., 2007. Biomaterials. Taylor & Francis.
Downloads
Publicado
Como Citar
Edição
Seção
Licença
Autores que publicam nesta revista concordam com os seguintes termos:
Autores mantém os direitos autorais e concedem à revista o direito de primeira publicação, sendo o trabalho simultaneamente licenciado sob a Creative Commons Attribution License o que permite o compartilhamento do trabalho com reconhecimento da autoria do trabalho e publicação inicial nesta revista.
Autores têm autorização para assumir contratos adicionais separadamente, para distribuição não-exclusiva da versão do trabalho publicada nesta revista (ex: publicar em repositório institucional ou como capítulo de livro), com reconhecimento de autoria e publicação inicial nesta revista.
Autores têm permissão e são estimulados a publicar e distribuir seu trabalho online (ex: em repositórios institucionais ou na sua página pessoal) a qualquer ponto antes ou durante o processo editorial, já que isso pode gerar alterações produtivas, bem como aumentar o impacto e a citação do trabalho publicado.
