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A Finite Element Model for Bone Ingrowth into a Prosthesis

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • F. J. Vermolen

    (Delft University of Technology, Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science)

  • E. M. van Aken

    (Delft University of Technology, Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science)

  • J. C. van der Linden

    (Delft University of Technology, Mechanical, Maritime and Materials Engineering)

  • A. Andreykiv

    (Delft University of Technology, Mechanical, Maritime and Materials Engineering)

Abstract

We consider a finite element method for a model of bone ingrowth into a prosthesis. Such a model can be used as a tool for a surgeon to investigate the bone ingrowth kinetics when positioning a prosthesis. The overall model consists of two coupled models: the biological part that consists of non-linear diffusion-reaction equations for the various cell densities and the mechanical part that contains the equations for poro-elasticity. The two models are coupled and in this paper the model is presented with some preliminary academic results. The model is used to carry out a parameter sensitivity analysis of ingrowth kinetics with respect to the parameters involved.

Suggested Citation

  • F. J. Vermolen & E. M. van Aken & J. C. van der Linden & A. Andreykiv, 2008. "A Finite Element Model for Bone Ingrowth into a Prosthesis," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 99-106, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_11
    DOI: 10.1007/978-3-540-69777-0_11
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