394
Views
0
CrossRef citations to date
0
Altmetric
Abstract

An enriched continuum mechanics description of bone tissue to describe mineralization and mechanobiology in bone remodeling

, , , &

References

  • Beaupré GS, Orr TE, Carter DR. 1990. An approach for time-dependent bone modeling and remodeling-application: A preliminary remodeling simulation. J Orthop Res. 8(5):662–670.
  • DiCarlo A, Quiligotti S. 2002. Growth and balance. Mech Res Commun. 29(6):449–456.
  • Doblaré M, Garcı́a J.M. 2001. Application of an anisotropic bone-remodelling model based on a damage-repair theory to the analysis of the proximal femur before and after total hip replacement. J Biomech. 34(9):1157–1170.
  • Frost HM, 1987. Bone “mass” and the “mechanostat”: A proposal. Anat Rec. 219 2. (1):1–9.
  • Ganghoffer JF, Rahouadj R, Boisse J, Forest S. 2016. Phase field approaches of bone remodeling based on TIP. J Non-Equilibrium Thermodyn. 41:49–75.
  • García-Aznar JM, Rueberg T, Doblare M. 2005. A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity. Biomech Model Mechanobiol. 4(2-3):147–167.
  • Germain P. 1973. La méthode des puissances virtuelles en mécanique des milieux continus. J Mécanique. 12:235–274.
  • Hernandez CJ, Beaupré GS, Carter DR. 2000. A model of mechanobiologic and metabolic influences on bone adaptation. J Rehabil Res Dev. 37(2):235–244.
  • Huiskes R, Ruimerman R, van Lenthe GH, Janssen JD. 2000. Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature. 405(6787):704–706.
  • Klika V, Pérez MA, García-Aznar JM, Maršík F, Doblaré M. 2014. A coupled mechanobiochemical model for bone adaptation. J Math Biol. 69(6-7):1383–1429.
  • Komarova SV, Smith RJ, Dixon SJ, Sims SM, Wahl LM, 2003. Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling. Bone. 33 33. (2):206–215.
  • Martin M, Pivonka P, Haiat G, Lemaire T, Sansalone V. 2019. Bone orthotropic remodeling as a thermodynamically-driven evolution. J Mech Med Biol. Submitted.
  • Pivonka P, Zimak J, Smith DW, Gardiner BS, Dunstan CR, Sims NA, John Martin T, Mundy GR. 2008. Model structure and control of bone remodeling: A theoretical study. Bone. 43(2):249–263.
  • Rouhi G, Epstein M, Sudak L, Herzog W. 2007. Modeling bone resorption using mixture theory with chemical reactions. JOMMS. 2(6):1141–1155.