Abstract
Dental implant is a biocompatible titanium device surgically placed into the jaw bone to support a prosthetic tooth crown in order to replace missing teeth. However, placement of an implant changes the normal mechanical environment of jawbone, which causes the bone density to redistribute and adapt to the new environment by remodelling. This study aims to predict the density distribution in human jawbone surrounding a dental implant. Based on some popular yet distinctive theories for bone remodelling, a new algorithm is proposed that takes into account both the ‘lazy zone’ effect and the self-organizational control process. The proposed algorithm is first verified by a two-dimensional (2D) plate model simulating bone tissue, then, a 2D finite element model of implant and jawbone is studied. The effects of two parameters, viz the reference value of strain energy density (SED) and the ‘lazy zone’ region, on density distribution are also investigated. The proposed algorithm is proven to be effective, and the predicted density distribution patterns correlate well with clinical observations. This study has demonstrated that consideration of the lazy zone is less important than consideration of the stress and strain (quantified as SED) induced within the bone.
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Bouchard P., Renouard F., Bourgeois D., Fromentin O., Jeanneret M.H., Beresniak A.: Cost-effectiveness modeling of dental implant versus bridge. Clin. Oral Implants Res. 20, 583–587 (2009)
Turkyilmaz I., McGlumphy E.A.: Influence of bone density on implant stability parameters and implant success: A retrospective clinical study. BMC Oral Health. 8, 32 (2008)
Brånemark P.I., Hansson B.O., Adell R., Breine U., Lindström J., Hallén O., Ohman A.: Osseointegrated implants in the treatment of the edentulous jaw. Experience from a 10-year period. Scand. J. Plast. Reconst. Surg. Suppl. 7, 1–132 (1977)
Schroeder A., van der Zypen E., Stich H., Sutter F.: The reactions of bone, connective tissue, and epithelium to endosteal implants with titanium-sprayed surfaces. J. Maxillofac. Surg. 9, 15–25 (1981)
Wolff, J.L.: The Law of Bone Remodelling (Translated by Maquet P, Furlong R, in 1986). Springer-Verlag, Berlin (1892)
Carter D.R.: Mechanical loading histories and cortical bone remodeling. Calcif. Tissue Int. 36, 19–24 (1982)
Huiskes R., Weinans H., Grootenboer H.J., Dalstra M., Fudala B., Slooff T.J.: Adaptive bone-remodeling theory applied to prosthetic design analysis. J. Biomech. 20, 1135–1150 (1987)
Weinans H., Huiskes R., Grootenboer H.J.: The behavior of adaptive bone-remodeling simulation models. J. Biomech. 25, 1425–1441 (1992)
Turner C.H., Anne V., Pidaparti R.M.V.: A uniform strain criterion for trabecular bone adaptation, do continuum-level strain gradients drive adaptation. J. Biomech. 30, 555–563 (1997)
Mullender M.G., Huiskes R., Weinans H.: A physiological approach to simulation of bone remodelling as a self- organizational control process. J. Biomech. 27, 1389–1394 (1994)
Mullender M.G, Huiskes R.: Proposal for the regulatory mechanism of Wolff’s law. J. Orthop. Res. 13, 503–512 (1995)
Brekelmans W.A.M., Poort H.W., Slooff T.J.J.H.: A new method to analyse the mechanical behavior of skeletal parts. Acta Orthop. Scand. 43, 301–317 (1972)
Rybicki E.F., Simonen F.A., Weis E.B.: On the mathematical analysis of stress in human femur. J. Biomech. 5, 203–215 (1972)
Carter D.R., Orr T.E., Fyhrie D.P.: Relationships between loading history and femoral cancellous bone architecture. J. Biomech. 22, 231–244 (1989)
Huiskes R., Weinans H., van Rietbergen B.: The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials. Clin. Orthop. Relat. Res. 274, 124–134 (1992)
Kerner J., Huiskes R., van Lenthe G.H., Weinans H., van Rietbergen B., Engh C.A., Amis A.A.: Correlation between pre-operative periprosthetic bone density and post-operative bone loss in THA can be explained by strain-adaptive remodelling. J. Biomech. 32, 695–703 (1999)
van Rietbergen B., Huiskes R., Weinans H., Sumner D.R., Turner T.M., Galante J.O.: ESB Research Award 1992. The mechanism of bone remodelling and resorption around press-fitted THA stems. J. Biomech. 26, 369–382 (1993)
Weinans H., Huiskes R., van Rietbergen B., Sumner D.R., Turner T.M., Galante J.O.: Adaptive bone remodelling around bonded noncemented total hip arthroplasty, a comparison between animal experiments and computer simulation. J. Orthop. Res. 11, 500–513 (1993)
Duyck J., Ronold H.J., Van Oosterwyck H., Naert I., Sloten J.V., Ellingsen J.E.: The influence of static and dynamic loading on marginal bone reactions around osseointegrated implants: An animal experimental study. Clin. Oral Implants Res. 12, 207–218 (2001)
Mellal A., Wiskott H.W.A., Scherrer S.S., Belser U.C.: Stimulating effect of implant loading on surrounding bone. Comparison of three numerical models and validation by in vivo data. Clin. Oral Implants Res. 15, 239–248 (2004)
Li J., Li H., Shi L., Fok A.S.L., Ucer C., Devlin H., Houner H., Silikas N.: A mathematical model for simulating the bone remodelling process under mechanical stimulus. Dent. Mater. 23, 1073–1078 (2007)
Carter D.R., Fyhrie D.P., Whalen R.T.: Trabecular bone density and loading history: Regulation of connective tissue biology by mechanical energy. J. Biomech. 20, 785–794 (1987)
Hart R.T., Davy D.T.: Theories of bone modelling and remodelling. In: Cowin, S.C. (eds) Bone Mechanics, 1st edn, CRC Press, Boca Raton (1989)
Fyhrie D.P., Carter D.R.: Femoral head apparent density distribution predicted from bone stresses. J. Biomech. 23, 1–10 (1990)
Jacobs C.R., Simo J.C., Bearpre G.S., Carter D.R.: Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations. J. Biomech. 30, 603–613 (1997)
Ruimerman R., Huiskes R.: Development of a unifying theory for mechanical adaptation and maintenance of trabecular bone. Theor. Issues in Ergon. Sci. 6, 225–238 (2005)
Rubin C.T., Lanyon L.E.: Regulation of bone mass by mechanical strain magnitude. Calcif. Tissue Int. 37, 411–417 (1985)
Carter D.R., Hayes W.C.: The compressive behavior of bone as a two-phase porous structure. J. Bone Joint Surg. [Am] 59, 954–962 (1977)
Currey J.D.: The effect of porosity and mineral content on the Young’s modulus of elasticity of compact bone. J. Biomech. 21, 131–139 (1988)
Morgan E.F., Bayraktar H.H., Keaveny T.M.: Trabecular bone modulus-density relationships depend on anatomic site. J. Biomech. 36, 897–904 (2003)
Rice J.C., Cowin S.C., Bowman J.A.: On the dependence of the elasticity and strength of cancellous bone on apparent density. J. Biomech. 21, 155–168 (1988)
Guan H., van Staden R., Loo Y.C., Johnson N.W., Ivanovski S., Meredith N.: Influence of bone and dental implant parameters on stress distribution in mandible—A finite element study. Int. J. Oral Maxillofac. Implants 24, 866–876 (2009)
Chou H.Y., Jagodnik J.J., Muftu S.: Predictions of bone remodeling around dental implant systems. J. Biomech. 41, 1365–1373 (2008)
van Staden R.C., Guan H., Loo Y.C.: Application of the finite element method in dental implant research. Comput. Methods Biomech. Biomed. Engin. 9, 257–270 (2006)
Papavasiliou G., Kamposiora P., Bayne S.C., Felton D.A.: 3D-FEA of osseointegration percentages and patterns on implant-bone interfacial stresses. J. Dent. 25, 485–491 (1997)
Watzak G., Zechner W., Ulm C., Tangl S., Tepper G., Watzek G.: Histologic and histomorphometric analysis of three types of dental implants following 18 months of occlusal loading: A preliminary study in baboons. Clin. Oral Implants Res. 16, 408–416 (2005)
Lin D., Li Q., Li W., Duckmanton N., Swain M.: Mandibular bone remodelling induced by dental implant. J. Biomech. 43, 287–293 (2010)
Roberts W.E.: Bone tissue interface. J. Dent. Educ. 52, 804–809 (1988)
Block M.S., Finger I.M., Fontenot M.G., Kent J.N.: Loaded hydroxylapatite-coated and grit-blasted titanium implants in dogs. Int. J. Oral Maxillofac. Implants 4, 219–225 (1989)
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Lian, Z., Guan, H., Ivanovski, S. et al. Finite element simulation of bone remodelling in the human mandible surrounding dental implant. Acta Mech 217, 335–345 (2011). https://doi.org/10.1007/s00707-010-0409-3
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DOI: https://doi.org/10.1007/s00707-010-0409-3