PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Mathematical Models and Numerical Simulation in Bone Remodeling

Identyfikatory
Warianty tytułu
Konferencja
French-Polish Seminar of Mechanics (19 ; 8-11.06. 2011 ; Perpignan, France)
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
123--134
Opis fizyczny
Bibliogr. 25 poz., il., wykr.
Twórcy
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
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.