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Warianty tytułu
Konferencja
French-Polish Seminar of Mechanics (19 ; 8-11.06. 2011 ; Perpignan, France)
Języki publikacji
Abstrakty
In this paper we summarize the work of the authors during the last years about the analysis and numerical simulation of bone remodeling process using well-known mathematical models.
Czasopismo
Rocznik
Tom
Strony
123--134
Opis fizyczny
Bibliogr. 25 poz., il., wykr.
Twórcy
autor
autor
autor
autor
- Universidade de Santiago de Compostela, Departamento de Matematica Aplicada, Spain, juan.viano@usc.es
Bibliografia
- Ahn, A. C., Grodzinsky, A. J., 2009, Relevance of collagen piezoelectricity to "Wolffs Law": A critical review, Medical Engineering and Physics, 31, 733-741.
- Beaupre, G. S., Orr, T. E., Carter, D. R., 1990, An approach for time-dependent bone modeling and remodeling-theoretical development, J. Orthop. Res., 8, 651-661.
- Campo, M., Fernandez, J. R., Kuttler, K. L., Shillor, M., 2007, Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments, Appl. Numer. Math., 57, (9), 975-988.
- Cowin, S. C., 2006, The exact stimulus for the strain adaptation of bone tissue is unknown, J. Biomech. Sci. Engrg, 1, (1), 16-28.
- Cowin, S. C., Hegedus, D. H., 1976, Bone remodeling I: theory of adaptive elasticity, J. Elasticity, 6, (3), 313-326.
- Cowin, S. C., Nachlinger, R. R., 1978, Bone remodeling III: uniqueness and stability in adaptive elasticity theory, J. Elasticity, 8, (3), 285-295.
- Cowin, S. C., Van Buskirk, W. C., 1978, Internal bone remodeling induced by a medullary pin, J. Biomech, 11, 269-275.
- Fernandez, J. R., Garcia-Aznar, J. M., Martinez, R., Piezoelectricity could predict sites of, formation/resorption in bone modelling, J. Theor. Biol, (in press).
- Fernandez, J. R., Garcia-Aznar, J. M., Martinez, R., 2010, Numerical analysis of a piezoelectric bone remodeling problem (preprint).
- Fernandez, J. R., Garcia-Aznar, J. M., Martinez, R., Viafio, J. M., 2010, Numerical analysis of a strain-adaptive bone remodelling problem, Comput. Methods Appl. Mech. Engrg, 199, 1549-1557.
- Fernandez, J. R., Kuttler, K. L., 2009, An existence and uniqueness result for an elastopiezoelectric problem with damage, Math. Models Methods Appl. Sci., 19, 1, 31-50.
- Fernandez, J. R., Kuttler, K. L., 2011, An existence and uniqueness result for a strainadaptive bone remodeling problem., Nonlin. Anal. Real World Appl, 12, 288-294.
- Fernandez, J. R., Martinez, R., 2011, Numerical analysis of a contact problem including bone remodeling, J. Comput. Appl. Math., 235, 1805-1811.
- Fernandez, J. R., Martinez, R., Viafio, J. M., 2009, Analysis of a bone remodeling model, Commun. Pure Appl. Anal., 8, 1, 255-274.
- Firoozbakhsh, K., Cowin, S. C., 1980, Devolution of inhomogeneities in bone structurepredictions of adaptive elaticiy thory, J. Biomech. Engrg, 102, (1980) 287-293.
- Fyhrie, D. P., Carter, D. R., 1986, A unifying principle relating stress to trabecular bone morphology, J. Orthop. Res., 4, 304-317.
- Hegedus, D. H., Cowin, S. C., 1976, Bone remodeling II: small strain adaptive elasticity, J. Elasticity, 6, 4, 337-352.
- Huiskes, R, Weinans, H., Dalstra, M., 1989, Adaptive bone remodeling and biomechanical design considerations for noncemented total hip arthroplasty, Orthopedics, 12, 1255-1267.
- Huiskes, R., Weinans, H., Summer, D. R., Fudala, N., Turner, T.M., Grootenboer, H. J., Galante, J., 1989, Stress-shielding, stress-bypassing and bone resorption around "press-fit" and bone ingrowth THA, Trans. 35 th Orthop. Res. Soc., 14, 529.
- Martinez, R., 2010, Numerical analysis and simulations in bone remodelin models, Ph.D. thesis, Departamento de Matematica Aplicada, University of Santiago de Compostela.
- Monnier, J., Trabucho, L., 1998a, Existence and uniqueness of a solution to an adaptive elasticity model, Math. Mech. Solids, 3, 217-228.
- Monnier, J., Trabucho, L., 1998b, An existence and uniqueness result in bone remodeling theory, Comput. Methods. Appl. Mech. Engrg, 151, 539-544.
- Weinans, H., Huiskes, R., Grootenboer, H. J., 1989, Convergence and uniqueness of adaptive bone remodeling., Trans. 35th Orthop. Res. Soc., 14, 310.
- Weinans, H., Huiskes, R., Grootenboer, H. J., 1992, The behaviour of adaptive boneremodeling simulation models, J. Biomech., 25, 12, 1425-1441.
- Wolff, J., 1892, Das gesetz der transformation der knochen, A. Hirschwald, Berlin Translated by Maquet, P. G. J, and Furlong, R., 1986, The law of bone remodelling, Springer-Verlag in Berlin, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0054-0019